id sid tid token lemma pos fuelectenerg-494 1 1 08_494-8228-1-le.indd 08_494-8228-1-le.indd PROPN fuelectenerg-494 1 2 facta facta PROPN fuelectenerg-494 1 3 universitatis universitatis PROPN fuelectenerg-494 1 4 series series NOUN fuelectenerg-494 1 5 : : PUNCT fuelectenerg-494 1 6 electronics electronic NOUN fuelectenerg-494 1 7 and and CCONJ fuelectenerg-494 1 8 energetics energetics NOUN fuelectenerg-494 1 9 vol vol NOUN fuelectenerg-494 1 10 . . PROPN fuelectenerg-494 1 11 29 29 NUM fuelectenerg-494 1 12 , , PUNCT fuelectenerg-494 1 13 no no DET fuelectenerg-494 1 14 1 1 NUM fuelectenerg-494 1 15 , , PUNCT fuelectenerg-494 1 16 march march PROPN fuelectenerg-494 1 17 2016 2016 NUM fuelectenerg-494 1 18 , , PUNCT fuelectenerg-494 1 19 pp pp ADV fuelectenerg-494 1 20 . . PUNCT fuelectenerg-494 2 1 101 101 NUM fuelectenerg-494 2 2 112 112 NUM fuelectenerg-494 2 3 doi doi NOUN fuelectenerg-494 2 4 : : PUNCT fuelectenerg-494 2 5 10.2298 10.2298 NUM fuelectenerg-494 2 6 / / SYM fuelectenerg-494 2 7 fuee1601101k fuee1601101k VERB fuelectenerg-494 2 8 1university 1university NUM fuelectenerg-494 2 9 of of ADP fuelectenerg-494 2 10 priština priština PROPN fuelectenerg-494 2 11 , , PUNCT fuelectenerg-494 2 12 faculty faculty NOUN fuelectenerg-494 2 13 of of ADP fuelectenerg-494 2 14 technical technical ADJ fuelectenerg-494 2 15 science science NOUN fuelectenerg-494 2 16 , , PUNCT fuelectenerg-494 2 17 serbia serbia PROPN fuelectenerg-494 2 18 2university 2university PROPN fuelectenerg-494 2 19 of of ADP fuelectenerg-494 2 20 priština priština PROPN fuelectenerg-494 2 21 , , PUNCT fuelectenerg-494 2 22 faculty faculty NOUN fuelectenerg-494 2 23 of of ADP fuelectenerg-494 2 24 natural natural ADJ fuelectenerg-494 2 25 sciences science NOUN fuelectenerg-494 2 26 and and CCONJ fuelectenerg-494 2 27 mathematics mathematic NOUN fuelectenerg-494 2 28 , , PUNCT fuelectenerg-494 2 29 serbia serbia PROPN fuelectenerg-494 2 30 3university 3university PROPN fuelectenerg-494 2 31 of of ADP fuelectenerg-494 2 32 niš niš NOUN fuelectenerg-494 2 33 , , PUNCT fuelectenerg-494 2 34 faculty faculty NOUN fuelectenerg-494 2 35 of of ADP fuelectenerg-494 2 36 electronic electronic ADJ fuelectenerg-494 2 37 engineering engineering NOUN fuelectenerg-494 2 38 , , PUNCT fuelectenerg-494 2 39 serbia serbia PROPN fuelectenerg-494 2 40 ivan ivan PROPN fuelectenerg-494 2 41 krstić1 krstić1 PROPN fuelectenerg-494 2 42 , , PUNCT fuelectenerg-494 2 43 negovan negovan NOUN fuelectenerg-494 2 44 stamenković2 stamenković2 NOUN fuelectenerg-494 2 45 , , PUNCT fuelectenerg-494 2 46 vidosav vidosav VERB fuelectenerg-494 2 47 stojanović3 stojanović3 NOUN fuelectenerg-494 2 48 binary binary NOUN fuelectenerg-494 2 49 to to ADP fuelectenerg-494 2 50 rns rn NOUN fuelectenerg-494 2 51 encoder encoder NOUN fuelectenerg-494 2 52 for for ADP fuelectenerg-494 2 53 the the DET fuelectenerg-494 2 54 moduli moduli NOUN fuelectenerg-494 2 55 set set VERB fuelectenerg-494 2 56 { { PUNCT fuelectenerg-494 2 57 2n 2n NUM fuelectenerg-494 2 58 – – PUNCT fuelectenerg-494 2 59 1 1 NUM fuelectenerg-494 2 60 , , PUNCT fuelectenerg-494 2 61 2n 2n NUM fuelectenerg-494 2 62 , , PUNCT fuelectenerg-494 2 63 2n 2n NUM fuelectenerg-494 2 64 + + CCONJ fuelectenerg-494 2 65 1 1 NUM fuelectenerg-494 2 66 } } PUNCT fuelectenerg-494 2 67 with with ADP fuelectenerg-494 2 68 embedded embed VERB fuelectenerg-494 2 69 diminished-1 diminished-1 NUM fuelectenerg-494 2 70 channel channel NOUN fuelectenerg-494 2 71 for for ADP fuelectenerg-494 2 72 dsp dsp NOUN fuelectenerg-494 2 73 application application NOUN fuelectenerg-494 2 74 received receive VERB fuelectenerg-494 2 75 september september PROPN fuelectenerg-494 2 76 24 24 NUM fuelectenerg-494 2 77 , , PUNCT fuelectenerg-494 2 78 2014 2014 NUM fuelectenerg-494 2 79 ; ; PUNCT fuelectenerg-494 2 80 received receive VERB fuelectenerg-494 2 81 in in ADP fuelectenerg-494 2 82 revised revise VERB fuelectenerg-494 2 83 form form NOUN fuelectenerg-494 2 84 september september PROPN fuelectenerg-494 2 85 1 1 NUM fuelectenerg-494 2 86 , , PUNCT fuelectenerg-494 2 87 2015 2015 NUM fuelectenerg-494 2 88 corresponding correspond VERB fuelectenerg-494 2 89 author author NOUN fuelectenerg-494 2 90 : : PUNCT fuelectenerg-494 2 91 ivan ivan PROPN fuelectenerg-494 2 92 krstić krstić PROPN fuelectenerg-494 2 93 university university PROPN fuelectenerg-494 2 94 of of ADP fuelectenerg-494 2 95 priština priština PROPN fuelectenerg-494 2 96 , , PUNCT fuelectenerg-494 2 97 faculty faculty NOUN fuelectenerg-494 2 98 of of ADP fuelectenerg-494 2 99 technical technical ADJ fuelectenerg-494 2 100 sciences sciences PROPN fuelectenerg-494 2 101 , , PUNCT fuelectenerg-494 2 102 serbia serbia PROPN fuelectenerg-494 2 103 ( ( PUNCT fuelectenerg-494 2 104 e e NOUN fuelectenerg-494 2 105 - - NOUN fuelectenerg-494 2 106 mail mail NOUN fuelectenerg-494 2 107 : : PUNCT fuelectenerg-494 2 108 ivan.krstic@pr.ac.rs ivan.krstic@pr.ac.rs PROPN fuelectenerg-494 2 109 ) ) PUNCT fuelectenerg-494 2 110 facta facta PROPN fuelectenerg-494 2 111 universitatis universitatis PROPN fuelectenerg-494 2 112 series series NOUN fuelectenerg-494 2 113 : : PUNCT fuelectenerg-494 2 114 electronics electronic NOUN fuelectenerg-494 2 115 and and CCONJ fuelectenerg-494 2 116 energetics energetics NOUN fuelectenerg-494 2 117 vol vol NOUN fuelectenerg-494 2 118 . . PUNCT fuelectenerg-494 3 1 28 28 NUM fuelectenerg-494 3 2 , , PUNCT fuelectenerg-494 3 3 no no DET fuelectenerg-494 3 4 4 4 NUM fuelectenerg-494 3 5 , , PUNCT fuelectenerg-494 3 6 december december PROPN fuelectenerg-494 3 7 2015 2015 NUM fuelectenerg-494 3 8 , , PUNCT fuelectenerg-494 3 9 pp pp ADJ fuelectenerg-494 3 10 . . PUNCT fuelectenerg-494 4 1 507 507 NUM fuelectenerg-494 4 2 525 525 NUM fuelectenerg-494 4 3 doi doi NOUN fuelectenerg-494 4 4 : : PUNCT fuelectenerg-494 4 5 10.2298 10.2298 NUM fuelectenerg-494 4 6 / / SYM fuelectenerg-494 4 7 fuee1504507s fuee1504507 VERB fuelectenerg-494 4 8 horizontal horizontal ADJ fuelectenerg-494 4 9 current current ADJ fuelectenerg-494 4 10 bipolar bipolar ADJ fuelectenerg-494 4 11 transistor transistor NOUN fuelectenerg-494 4 12 ( ( PUNCT fuelectenerg-494 4 13 hcbt hcbt NOUN fuelectenerg-494 4 14 ) ) PUNCT fuelectenerg-494 4 15 – – PUNCT fuelectenerg-494 4 16 a a DET fuelectenerg-494 4 17 low low ADJ fuelectenerg-494 4 18 - - PUNCT fuelectenerg-494 4 19 cost cost NOUN fuelectenerg-494 4 20 , , PUNCT fuelectenerg-494 4 21 high high ADJ fuelectenerg-494 4 22 - - PUNCT fuelectenerg-494 4 23 performance performance NOUN fuelectenerg-494 4 24 flexible flexible ADJ fuelectenerg-494 4 25 bicmos bicmos PROPN fuelectenerg-494 4 26 technology technology PROPN fuelectenerg-494 4 27 for for ADP fuelectenerg-494 4 28 rf rf NOUN fuelectenerg-494 4 29 communication communication NOUN fuelectenerg-494 4 30 applications applications X fuelectenerg-494 4 31 tomislav tomislav PROPN fuelectenerg-494 4 32 suligoj1 suligoj1 PROPN fuelectenerg-494 4 33 , , PUNCT fuelectenerg-494 4 34 marko marko PROPN fuelectenerg-494 4 35 koričić1 koričić1 PROPN fuelectenerg-494 4 36 , , PUNCT fuelectenerg-494 4 37 josip josip PROPN fuelectenerg-494 4 38 žilak1 žilak1 PROPN fuelectenerg-494 4 39 , , PUNCT fuelectenerg-494 4 40 hidenori hidenori PROPN fuelectenerg-494 4 41 mochizuki2 mochizuki2 PROPN fuelectenerg-494 4 42 , , PUNCT fuelectenerg-494 4 43 so so ADV fuelectenerg-494 4 44 - - PUNCT fuelectenerg-494 4 45 ichi ichi ADJ fuelectenerg-494 4 46 morita2 morita2 NOUN fuelectenerg-494 4 47 , , PUNCT fuelectenerg-494 4 48 katsumi katsumi PROPN fuelectenerg-494 4 49 shinomura2 shinomura2 PROPN fuelectenerg-494 4 50 , , PUNCT fuelectenerg-494 4 51 hisaya hisaya NOUN fuelectenerg-494 4 52 imai2 imai2 PROPN fuelectenerg-494 4 53 1university 1university NUM fuelectenerg-494 4 54 of of ADP fuelectenerg-494 4 55 zagreb zagreb PROPN fuelectenerg-494 4 56 , , PUNCT fuelectenerg-494 4 57 faculty faculty NOUN fuelectenerg-494 4 58 of of ADP fuelectenerg-494 4 59 electrical electrical ADJ fuelectenerg-494 4 60 engineering engineering NOUN fuelectenerg-494 4 61 and and CCONJ fuelectenerg-494 4 62 computing computing NOUN fuelectenerg-494 4 63 , , PUNCT fuelectenerg-494 4 64 department department NOUN fuelectenerg-494 4 65 of of ADP fuelectenerg-494 4 66 electronics electronic NOUN fuelectenerg-494 4 67 , , PUNCT fuelectenerg-494 4 68 microand microand NOUN fuelectenerg-494 4 69 nano nano NOUN fuelectenerg-494 4 70 - - PUNCT fuelectenerg-494 4 71 electronics electronic NOUN fuelectenerg-494 4 72 laboratory laboratory NOUN fuelectenerg-494 4 73 , , PUNCT fuelectenerg-494 4 74 croatia croatia PROPN fuelectenerg-494 4 75 2asahi 2asahi PROPN fuelectenerg-494 4 76 kasei kasei PROPN fuelectenerg-494 4 77 microdevices microdevices PROPN fuelectenerg-494 4 78 co. co. PROPN fuelectenerg-494 4 79 5 5 NUM fuelectenerg-494 4 80 - - SYM fuelectenerg-494 4 81 4960 4960 NUM fuelectenerg-494 4 82 , , PUNCT fuelectenerg-494 4 83 nobeoka nobeoka NOUN fuelectenerg-494 4 84 , , PUNCT fuelectenerg-494 4 85 miyazaki miyazaki PROPN fuelectenerg-494 4 86 , , PUNCT fuelectenerg-494 4 87 882 882 NUM fuelectenerg-494 4 88 - - SYM fuelectenerg-494 4 89 0031 0031 NUM fuelectenerg-494 4 90 , , PUNCT fuelectenerg-494 4 91 japan japan PROPN fuelectenerg-494 4 92 abstract abstract PROPN fuelectenerg-494 4 93 . . PUNCT fuelectenerg-494 5 1 in in ADP fuelectenerg-494 5 2 an an DET fuelectenerg-494 5 3 overview overview NOUN fuelectenerg-494 5 4 of of ADP fuelectenerg-494 5 5 horizontal horizontal ADJ fuelectenerg-494 5 6 current current ADJ fuelectenerg-494 5 7 bipolar bipolar ADJ fuelectenerg-494 5 8 transistor transistor NOUN fuelectenerg-494 5 9 ( ( PUNCT fuelectenerg-494 5 10 hcbt hcbt NOUN fuelectenerg-494 5 11 ) ) PUNCT fuelectenerg-494 5 12 technology technology NOUN fuelectenerg-494 5 13 , , PUNCT fuelectenerg-494 5 14 the the DET fuelectenerg-494 5 15 state state NOUN fuelectenerg-494 5 16 - - PUNCT fuelectenerg-494 5 17 of of ADP fuelectenerg-494 5 18 - - PUNCT fuelectenerg-494 5 19 the the DET fuelectenerg-494 5 20 - - PUNCT fuelectenerg-494 5 21 art art NOUN fuelectenerg-494 5 22 integrated integrate VERB fuelectenerg-494 5 23 silicon silicon NOUN fuelectenerg-494 5 24 bipolar bipolar ADJ fuelectenerg-494 5 25 transistors transistor NOUN fuelectenerg-494 5 26 are be AUX fuelectenerg-494 5 27 described describe VERB fuelectenerg-494 5 28 which which PRON fuelectenerg-494 5 29 exhibit exhibit VERB fuelectenerg-494 5 30 ft ft PROPN fuelectenerg-494 5 31 and and CCONJ fuelectenerg-494 5 32 fmax fmax PROPN fuelectenerg-494 5 33 of of ADP fuelectenerg-494 5 34 51 51 NUM fuelectenerg-494 5 35 ghz ghz NOUN fuelectenerg-494 5 36 and and CCONJ fuelectenerg-494 5 37 61 61 NUM fuelectenerg-494 5 38 ghz ghz NOUN fuelectenerg-494 5 39 and and CCONJ fuelectenerg-494 5 40 ftbvceo ftbvceo ADJ fuelectenerg-494 5 41 product product NOUN fuelectenerg-494 5 42 of of ADP fuelectenerg-494 5 43 173 173 NUM fuelectenerg-494 5 44 ghzv ghzv NOUN fuelectenerg-494 5 45 that that PRON fuelectenerg-494 5 46 are be AUX fuelectenerg-494 5 47 among among ADP fuelectenerg-494 5 48 the the DET fuelectenerg-494 5 49 highest high ADJ fuelectenerg-494 5 50 - - PUNCT fuelectenerg-494 5 51 performance performance NOUN fuelectenerg-494 5 52 implanted implant VERB fuelectenerg-494 5 53 - - PUNCT fuelectenerg-494 5 54 base base NOUN fuelectenerg-494 5 55 , , PUNCT fuelectenerg-494 5 56 silicon silicon NOUN fuelectenerg-494 5 57 bipolar bipolar ADJ fuelectenerg-494 5 58 transistors transistor NOUN fuelectenerg-494 5 59 . . PUNCT fuelectenerg-494 6 1 hbct hbct ADV fuelectenerg-494 6 2 is be AUX fuelectenerg-494 6 3 integrated integrate VERB fuelectenerg-494 6 4 with with ADP fuelectenerg-494 6 5 cmos cmos PROPN fuelectenerg-494 6 6 in in ADP fuelectenerg-494 6 7 a a DET fuelectenerg-494 6 8 considerably considerably ADV fuelectenerg-494 6 9 lower low ADJ fuelectenerg-494 6 10 - - PUNCT fuelectenerg-494 6 11 cost cost NOUN fuelectenerg-494 6 12 fabrication fabrication NOUN fuelectenerg-494 6 13 sequence sequence NOUN fuelectenerg-494 6 14 as as ADP fuelectenerg-494 6 15 compared compare VERB fuelectenerg-494 6 16 to to ADP fuelectenerg-494 6 17 standard standard ADJ fuelectenerg-494 6 18 vertical vertical ADJ fuelectenerg-494 6 19 - - PUNCT fuelectenerg-494 6 20 current current ADJ fuelectenerg-494 6 21 bipolar bipolar ADJ fuelectenerg-494 6 22 transistors transistor NOUN fuelectenerg-494 6 23 with with ADP fuelectenerg-494 6 24 only only ADV fuelectenerg-494 6 25 2 2 NUM fuelectenerg-494 6 26 or or CCONJ fuelectenerg-494 6 27 3 3 NUM fuelectenerg-494 6 28 additional additional ADJ fuelectenerg-494 6 29 masks mask NOUN fuelectenerg-494 6 30 and and CCONJ fuelectenerg-494 6 31 fewer few ADJ fuelectenerg-494 6 32 process process NOUN fuelectenerg-494 6 33 steps step NOUN fuelectenerg-494 6 34 . . PUNCT fuelectenerg-494 7 1 due due ADP fuelectenerg-494 7 2 to to ADP fuelectenerg-494 7 3 its its PRON fuelectenerg-494 7 4 specific specific ADJ fuelectenerg-494 7 5 structure structure NOUN fuelectenerg-494 7 6 , , PUNCT fuelectenerg-494 7 7 the the DET fuelectenerg-494 7 8 charge charge NOUN fuelectenerg-494 7 9 sharing sharing NOUN fuelectenerg-494 7 10 effect effect NOUN fuelectenerg-494 7 11 can can AUX fuelectenerg-494 7 12 be be AUX fuelectenerg-494 7 13 employed employ VERB fuelectenerg-494 7 14 to to PART fuelectenerg-494 7 15 increase increase VERB fuelectenerg-494 7 16 bvceo bvceo ADV fuelectenerg-494 7 17 without without ADP fuelectenerg-494 7 18 sacrificing sacrifice VERB fuelectenerg-494 7 19 ft ft X fuelectenerg-494 7 20 and and CCONJ fuelectenerg-494 7 21 fmax fmax PROPN fuelectenerg-494 7 22 . . PUNCT fuelectenerg-494 8 1 moreover moreover ADV fuelectenerg-494 8 2 , , PUNCT fuelectenerg-494 8 3 the the DET fuelectenerg-494 8 4 electric electric ADJ fuelectenerg-494 8 5 field field NOUN fuelectenerg-494 8 6 can can AUX fuelectenerg-494 8 7 be be AUX fuelectenerg-494 8 8 engineered engineer VERB fuelectenerg-494 8 9 just just ADV fuelectenerg-494 8 10 by by ADP fuelectenerg-494 8 11 manipulating manipulate VERB fuelectenerg-494 8 12 the the DET fuelectenerg-494 8 13 lithography lithography NOUN fuelectenerg-494 8 14 masks mask NOUN fuelectenerg-494 8 15 achieving achieve VERB fuelectenerg-494 8 16 the the DET fuelectenerg-494 8 17 high high ADJ fuelectenerg-494 8 18 - - PUNCT fuelectenerg-494 8 19 voltage voltage NOUN fuelectenerg-494 8 20 hcbts hcbt NOUN fuelectenerg-494 8 21 with with ADP fuelectenerg-494 8 22 breakdowns breakdown NOUN fuelectenerg-494 8 23 up up ADP fuelectenerg-494 8 24 to to PART fuelectenerg-494 8 25 36 36 NUM fuelectenerg-494 8 26 v v NOUN fuelectenerg-494 8 27 integrated integrate VERB fuelectenerg-494 8 28 in in ADP fuelectenerg-494 8 29 the the DET fuelectenerg-494 8 30 same same ADJ fuelectenerg-494 8 31 process process NOUN fuelectenerg-494 8 32 flow flow NOUN fuelectenerg-494 8 33 with with ADP fuelectenerg-494 8 34 high high ADJ fuelectenerg-494 8 35 - - PUNCT fuelectenerg-494 8 36 speed speed NOUN fuelectenerg-494 8 37 devices device NOUN fuelectenerg-494 8 38 , , PUNCT fuelectenerg-494 8 39 i.e. i.e. X fuelectenerg-494 8 40 at at ADP fuelectenerg-494 8 41 zero zero NUM fuelectenerg-494 8 42 additional additional ADJ fuelectenerg-494 8 43 costs cost NOUN fuelectenerg-494 8 44 . . PUNCT fuelectenerg-494 9 1 double double ADJ fuelectenerg-494 9 2 - - PUNCT fuelectenerg-494 9 3 balanced balanced ADJ fuelectenerg-494 9 4 active active ADJ fuelectenerg-494 9 5 mixer mixer NOUN fuelectenerg-494 9 6 circuit circuit NOUN fuelectenerg-494 9 7 is be AUX fuelectenerg-494 9 8 designed design VERB fuelectenerg-494 9 9 and and CCONJ fuelectenerg-494 9 10 fabricated fabricate VERB fuelectenerg-494 9 11 in in ADP fuelectenerg-494 9 12 hcbt hcbt NOUN fuelectenerg-494 9 13 technology technology NOUN fuelectenerg-494 9 14 . . PUNCT fuelectenerg-494 10 1 the the DET fuelectenerg-494 10 2 maximum maximum ADJ fuelectenerg-494 10 3 iip3 iip3 NOUN fuelectenerg-494 10 4 of of ADP fuelectenerg-494 10 5 17.7 17.7 NUM fuelectenerg-494 10 6 dbm dbm NOUN fuelectenerg-494 10 7 at at ADP fuelectenerg-494 10 8 mixer mixer PROPN fuelectenerg-494 10 9 current current ADJ fuelectenerg-494 10 10 of of ADP fuelectenerg-494 10 11 9.2 9.2 NUM fuelectenerg-494 10 12 ma ma PROPN fuelectenerg-494 10 13 and and CCONJ fuelectenerg-494 10 14 conversion conversion NOUN fuelectenerg-494 10 15 gain gain NOUN fuelectenerg-494 10 16 of of ADP fuelectenerg-494 10 17 -5 -5 INTJ fuelectenerg-494 10 18 db db PROPN fuelectenerg-494 10 19 are be AUX fuelectenerg-494 10 20 achieved achieve VERB fuelectenerg-494 10 21 . . PUNCT fuelectenerg-494 11 1 key key ADJ fuelectenerg-494 11 2 words word NOUN fuelectenerg-494 11 3 : : PUNCT fuelectenerg-494 11 4 bicmos bicmos ADJ fuelectenerg-494 11 5 technology technology NOUN fuelectenerg-494 11 6 , , PUNCT fuelectenerg-494 11 7 bipolar bipolar ADJ fuelectenerg-494 11 8 transistors transistor NOUN fuelectenerg-494 11 9 , , PUNCT fuelectenerg-494 11 10 horizontal horizontal ADJ fuelectenerg-494 11 11 current current ADJ fuelectenerg-494 11 12 bipolar bipolar ADJ fuelectenerg-494 11 13 transistor transistor NOUN fuelectenerg-494 11 14 , , PUNCT fuelectenerg-494 11 15 radio radio NOUN fuelectenerg-494 11 16 frequency frequency NOUN fuelectenerg-494 11 17 integrated integrate VERB fuelectenerg-494 11 18 circuits circuit NOUN fuelectenerg-494 11 19 , , PUNCT fuelectenerg-494 11 20 mixer mixer NOUN fuelectenerg-494 11 21 , , PUNCT fuelectenerg-494 11 22 high high ADJ fuelectenerg-494 11 23 - - PUNCT fuelectenerg-494 11 24 voltage voltage NOUN fuelectenerg-494 11 25 bipolar bipolar ADJ fuelectenerg-494 11 26 transistors transistor NOUN fuelectenerg-494 11 27 . . PUNCT fuelectenerg-494 12 1 1 1 X fuelectenerg-494 12 2 . . X fuelectenerg-494 12 3 introduction introduction NOUN fuelectenerg-494 12 4 in in ADP fuelectenerg-494 12 5 the the DET fuelectenerg-494 12 6 highly highly ADV fuelectenerg-494 12 7 competitive competitive ADJ fuelectenerg-494 12 8 wireless wireless ADJ fuelectenerg-494 12 9 communication communication NOUN fuelectenerg-494 12 10 markets market NOUN fuelectenerg-494 12 11 , , PUNCT fuelectenerg-494 12 12 the the DET fuelectenerg-494 12 13 rf rf ADJ fuelectenerg-494 12 14 circuits circuit NOUN fuelectenerg-494 12 15 and and CCONJ fuelectenerg-494 12 16 systems system NOUN fuelectenerg-494 12 17 are be AUX fuelectenerg-494 12 18 fabricated fabricate VERB fuelectenerg-494 12 19 in in ADP fuelectenerg-494 12 20 the the DET fuelectenerg-494 12 21 technologies technology NOUN fuelectenerg-494 12 22 that that PRON fuelectenerg-494 12 23 are be AUX fuelectenerg-494 12 24 very very ADV fuelectenerg-494 12 25 cost cost NOUN fuelectenerg-494 12 26 - - PUNCT fuelectenerg-494 12 27 sensitive sensitive ADJ fuelectenerg-494 12 28 . . PUNCT fuelectenerg-494 13 1 in in ADP fuelectenerg-494 13 2 order order NOUN fuelectenerg-494 13 3 to to PART fuelectenerg-494 13 4 minimize minimize VERB fuelectenerg-494 13 5 the the DET fuelectenerg-494 13 6 fabrication fabrication NOUN fuelectenerg-494 13 7 costs cost NOUN fuelectenerg-494 13 8 , , PUNCT fuelectenerg-494 13 9 the the DET fuelectenerg-494 13 10 sub-10 sub-10 NUM fuelectenerg-494 13 11 ghz ghz NOUN fuelectenerg-494 13 12 applications application NOUN fuelectenerg-494 13 13 can can AUX fuelectenerg-494 13 14 be be AUX fuelectenerg-494 13 15 processed process VERB fuelectenerg-494 13 16 by by ADP fuelectenerg-494 13 17 using use VERB fuelectenerg-494 13 18 the the DET fuelectenerg-494 13 19 high high ADJ fuelectenerg-494 13 20 - - PUNCT fuelectenerg-494 13 21 volume volume NOUN fuelectenerg-494 13 22 silicon silicon NOUN fuelectenerg-494 13 23 technologies technology NOUN fuelectenerg-494 13 24 . . PUNCT fuelectenerg-494 14 1 it it PRON fuelectenerg-494 14 2 has have AUX fuelectenerg-494 14 3 been be AUX fuelectenerg-494 14 4 identified identify VERB fuelectenerg-494 14 5 that that SCONJ fuelectenerg-494 14 6 the the DET fuelectenerg-494 14 7 optimum optimum ADJ fuelectenerg-494 14 8 solution solution NOUN fuelectenerg-494 14 9 might might AUX fuelectenerg-494 14 10 received receive VERB fuelectenerg-494 14 11 march march PROPN fuelectenerg-494 14 12 9 9 NUM fuelectenerg-494 14 13 , , PUNCT fuelectenerg-494 14 14 2015 2015 NUM fuelectenerg-494 14 15 corresponding correspond VERB fuelectenerg-494 14 16 author author NOUN fuelectenerg-494 14 17 : : PUNCT fuelectenerg-494 14 18 tomislav tomislav PROPN fuelectenerg-494 14 19 suligoj suligoj PROPN fuelectenerg-494 14 20 university university PROPN fuelectenerg-494 14 21 of of ADP fuelectenerg-494 14 22 zagreb zagreb PROPN fuelectenerg-494 14 23 , , PUNCT fuelectenerg-494 14 24 faculty faculty NOUN fuelectenerg-494 14 25 of of ADP fuelectenerg-494 14 26 electrical electrical ADJ fuelectenerg-494 14 27 engineering engineering NOUN fuelectenerg-494 14 28 and and CCONJ fuelectenerg-494 14 29 computing computing NOUN fuelectenerg-494 14 30 , , PUNCT fuelectenerg-494 14 31 department department NOUN fuelectenerg-494 14 32 of of ADP fuelectenerg-494 14 33 electronics electronic NOUN fuelectenerg-494 14 34 , , PUNCT fuelectenerg-494 14 35 microand microand NOUN fuelectenerg-494 14 36 nano nano NOUN fuelectenerg-494 14 37 - - PUNCT fuelectenerg-494 14 38 electronics electronic NOUN fuelectenerg-494 14 39 laboratory laboratory NOUN fuelectenerg-494 14 40 , , PUNCT fuelectenerg-494 14 41 croatia croatia PROPN fuelectenerg-494 14 42 ( ( PUNCT fuelectenerg-494 14 43 e e NOUN fuelectenerg-494 14 44 - - NOUN fuelectenerg-494 14 45 mail mail NOUN fuelectenerg-494 14 46 : : PUNCT fuelectenerg-494 14 47 tom@zemris.fer.hr tom@zemris.fer.hr X fuelectenerg-494 14 48 ) ) PUNCT fuelectenerg-494 14 49 facta facta NOUN fuelectenerg-494 14 50 universitatis universitatis PROPN fuelectenerg-494 14 51 ( ( PUNCT fuelectenerg-494 14 52 niš niš NOUN fuelectenerg-494 14 53 ) ) PUNCT fuelectenerg-494 14 54 ser ser NOUN fuelectenerg-494 14 55 . . PUNCT fuelectenerg-494 14 56 : : PUNCT fuelectenerg-494 15 1 elec elec PROPN fuelectenerg-494 15 2 . . PUNCT fuelectenerg-494 15 3 energ energ PROPN fuelectenerg-494 15 4 . . PUNCT fuelectenerg-494 16 1 vol vol NOUN fuelectenerg-494 16 2 . . PROPN fuelectenerg-494 17 1 27 27 NUM fuelectenerg-494 17 2 , , PUNCT fuelectenerg-494 17 3 no no INTJ fuelectenerg-494 17 4 . . NOUN fuelectenerg-494 17 5 4 4 NUM fuelectenerg-494 17 6 , , PUNCT fuelectenerg-494 17 7 december december PROPN fuelectenerg-494 17 8 2014 2014 NUM fuelectenerg-494 17 9 , , PUNCT fuelectenerg-494 17 10 xx xx PROPN fuelectenerg-494 17 11 - - PUNCT fuelectenerg-494 17 12 xx xx NUM fuelectenerg-494 17 13 binary binary NOUN fuelectenerg-494 17 14 to to ADP fuelectenerg-494 17 15 rns rn NOUN fuelectenerg-494 17 16 encoder encoder NOUN fuelectenerg-494 17 17 for for ADP fuelectenerg-494 17 18 the the DET fuelectenerg-494 17 19 moduli moduli NOUN fuelectenerg-494 17 20 set set VERB fuelectenerg-494 17 21 { { PUNCT fuelectenerg-494 17 22 2n 2n NUM fuelectenerg-494 17 23 −1,2n,2n −1,2n,2n PROPN fuelectenerg-494 17 24 +1 +1 PROPN fuelectenerg-494 17 25 } } PUNCT fuelectenerg-494 17 26 with with ADP fuelectenerg-494 17 27 embedded embed VERB fuelectenerg-494 17 28 diminished-1 diminished-1 NUM fuelectenerg-494 17 29 channel channel NOUN fuelectenerg-494 17 30 for for ADP fuelectenerg-494 17 31 dsp dsp NOUN fuelectenerg-494 17 32 application application NOUN fuelectenerg-494 17 33 ivan ivan PROPN fuelectenerg-494 17 34 krstić krstić PROPN fuelectenerg-494 17 35 , , PUNCT fuelectenerg-494 17 36 negovan negovan NOUN fuelectenerg-494 17 37 stamenković stamenković NOUN fuelectenerg-494 17 38 and and CCONJ fuelectenerg-494 17 39 vidosav vidosav VERB fuelectenerg-494 17 40 stojanović stojanović ADJ fuelectenerg-494 17 41 abstract abstract NOUN fuelectenerg-494 17 42 : : PUNCT fuelectenerg-494 17 43 a a DET fuelectenerg-494 17 44 binary binary NOUN fuelectenerg-494 17 45 - - PUNCT fuelectenerg-494 17 46 to to ADP fuelectenerg-494 17 47 - - PUNCT fuelectenerg-494 17 48 residues residue NOUN fuelectenerg-494 17 49 encoder encoder NOUN fuelectenerg-494 17 50 ( ( PUNCT fuelectenerg-494 17 51 forward forward ADJ fuelectenerg-494 17 52 encoder encoder NOUN fuelectenerg-494 17 53 ) ) PUNCT fuelectenerg-494 17 54 is be AUX fuelectenerg-494 17 55 an an DET fuelectenerg-494 17 56 essential essential ADJ fuelectenerg-494 17 57 building building NOUN fuelectenerg-494 17 58 block block NOUN fuelectenerg-494 17 59 for for ADP fuelectenerg-494 17 60 the the DET fuelectenerg-494 17 61 residue residue NOUN fuelectenerg-494 17 62 number number NOUN fuelectenerg-494 17 63 system system NOUN fuelectenerg-494 17 64 digital digital ADJ fuelectenerg-494 17 65 signal signal NOUN fuelectenerg-494 17 66 processing processing NOUN fuelectenerg-494 17 67 ( ( PUNCT fuelectenerg-494 17 68 rns rn NOUN fuelectenerg-494 17 69 dsp dsp PROPN fuelectenerg-494 17 70 ) ) PUNCT fuelectenerg-494 17 71 and and CCONJ fuelectenerg-494 17 72 as as ADP fuelectenerg-494 17 73 such such ADJ fuelectenerg-494 17 74 it it PRON fuelectenerg-494 17 75 should should AUX fuelectenerg-494 17 76 be be AUX fuelectenerg-494 17 77 built build VERB fuelectenerg-494 17 78 with with ADP fuelectenerg-494 17 79 a a DET fuelectenerg-494 17 80 minimal minimal ADJ fuelectenerg-494 17 81 amount amount NOUN fuelectenerg-494 17 82 of of ADP fuelectenerg-494 17 83 hardware hardware NOUN fuelectenerg-494 17 84 and and CCONJ fuelectenerg-494 17 85 be be AUX fuelectenerg-494 17 86 efficient efficient ADJ fuelectenerg-494 17 87 in in ADP fuelectenerg-494 17 88 terms term NOUN fuelectenerg-494 17 89 of of ADP fuelectenerg-494 17 90 speed speed NOUN fuelectenerg-494 17 91 and and CCONJ fuelectenerg-494 17 92 power power NOUN fuelectenerg-494 17 93 . . PUNCT fuelectenerg-494 18 1 the the DET fuelectenerg-494 18 2 main main ADJ fuelectenerg-494 18 3 parts part NOUN fuelectenerg-494 18 4 of of ADP fuelectenerg-494 18 5 the the DET fuelectenerg-494 18 6 forward forward ADJ fuelectenerg-494 18 7 encoder encoder NOUN fuelectenerg-494 18 8 are be AUX fuelectenerg-494 18 9 residue residue NOUN fuelectenerg-494 18 10 generators generator NOUN fuelectenerg-494 18 11 which which PRON fuelectenerg-494 18 12 are be AUX fuelectenerg-494 18 13 usually usually ADV fuelectenerg-494 18 14 classified classify VERB fuelectenerg-494 18 15 into into ADP fuelectenerg-494 18 16 two two NUM fuelectenerg-494 18 17 categories category NOUN fuelectenerg-494 18 18 : : PUNCT fuelectenerg-494 18 19 the the DET fuelectenerg-494 18 20 one one NOUN fuelectenerg-494 18 21 based base VERB fuelectenerg-494 18 22 on on ADP fuelectenerg-494 18 23 arbitrary arbitrary ADJ fuelectenerg-494 18 24 moduli modulus NOUN fuelectenerg-494 18 25 - - PUNCT fuelectenerg-494 18 26 set set NOUN fuelectenerg-494 18 27 which which PRON fuelectenerg-494 18 28 make make VERB fuelectenerg-494 18 29 use use NOUN fuelectenerg-494 18 30 of of ADP fuelectenerg-494 18 31 look look VERB fuelectenerg-494 18 32 - - PUNCT fuelectenerg-494 18 33 up up ADP fuelectenerg-494 18 34 tables table NOUN fuelectenerg-494 18 35 , , PUNCT fuelectenerg-494 18 36 and and CCONJ fuelectenerg-494 18 37 the the DET fuelectenerg-494 18 38 other other ADJ fuelectenerg-494 18 39 based base VERB fuelectenerg-494 18 40 on on ADP fuelectenerg-494 18 41 the the DET fuelectenerg-494 18 42 special special ADJ fuelectenerg-494 18 43 moduli moduli NOUN fuelectenerg-494 18 44 sets set VERB fuelectenerg-494 18 45 . . PUNCT fuelectenerg-494 19 1 a a DET fuelectenerg-494 19 2 new new ADJ fuelectenerg-494 19 3 memoryless memoryless NOUN fuelectenerg-494 19 4 architecture architecture NOUN fuelectenerg-494 19 5 of of ADP fuelectenerg-494 19 6 binary binary NOUN fuelectenerg-494 19 7 - - PUNCT fuelectenerg-494 19 8 to to ADP fuelectenerg-494 19 9 - - PUNCT fuelectenerg-494 19 10 rns rn NOUN fuelectenerg-494 19 11 encoder encoder NOUN fuelectenerg-494 19 12 based base VERB fuelectenerg-494 19 13 on on ADP fuelectenerg-494 19 14 the the DET fuelectenerg-494 19 15 special special ADJ fuelectenerg-494 19 16 moduli moduli NOUN fuelectenerg-494 19 17 set set VERB fuelectenerg-494 19 18 { { PUNCT fuelectenerg-494 19 19 2n 2n NUM fuelectenerg-494 19 20 − − ADP fuelectenerg-494 19 21 1,2n,2n 1,2n,2n NUM fuelectenerg-494 19 22 + + CCONJ fuelectenerg-494 19 23 1 1 X fuelectenerg-494 19 24 } } PUNCT fuelectenerg-494 19 25 with with ADP fuelectenerg-494 19 26 embedded embed VERB fuelectenerg-494 19 27 modulo modulo NOUN fuelectenerg-494 19 28 2n 2n NUM fuelectenerg-494 19 29 + + CCONJ fuelectenerg-494 19 30 1 1 NUM fuelectenerg-494 19 31 channel channel NOUN fuelectenerg-494 19 32 in in ADP fuelectenerg-494 19 33 the the PRON fuelectenerg-494 19 34 diminished-1 diminished-1 NUM fuelectenerg-494 19 35 representation representation NOUN fuelectenerg-494 19 36 is be AUX fuelectenerg-494 19 37 presented present VERB fuelectenerg-494 19 38 . . PUNCT fuelectenerg-494 20 1 any any PRON fuelectenerg-494 20 2 of of ADP fuelectenerg-494 20 3 two two NUM fuelectenerg-494 20 4 channels channel NOUN fuelectenerg-494 20 5 ( ( PUNCT fuelectenerg-494 20 6 standard standard ADJ fuelectenerg-494 20 7 modulo modulo NOUN fuelectenerg-494 20 8 2n 2n NUM fuelectenerg-494 20 9 + + CCONJ fuelectenerg-494 20 10 1 1 NUM fuelectenerg-494 20 11 , , PUNCT fuelectenerg-494 20 12 or or CCONJ fuelectenerg-494 20 13 modulo modulo NOUN fuelectenerg-494 20 14 2n 2n X fuelectenerg-494 20 15 +1 +1 NOUN fuelectenerg-494 20 16 in in ADP fuelectenerg-494 20 17 the the DET fuelectenerg-494 20 18 diminished-1 diminished-1 NUM fuelectenerg-494 20 19 representation representation NOUN fuelectenerg-494 20 20 ) ) PUNCT fuelectenerg-494 20 21 operation operation NOUN fuelectenerg-494 20 22 can can AUX fuelectenerg-494 20 23 be be AUX fuelectenerg-494 20 24 performed perform VERB fuelectenerg-494 20 25 by by ADP fuelectenerg-494 20 26 using use VERB fuelectenerg-494 20 27 a a DET fuelectenerg-494 20 28 single single ADJ fuelectenerg-494 20 29 switch switch NOUN fuelectenerg-494 20 30 . . PUNCT fuelectenerg-494 21 1 the the DET fuelectenerg-494 21 2 proposed propose VERB fuelectenerg-494 21 3 encoder encoder NOUN fuelectenerg-494 21 4 has have AUX fuelectenerg-494 21 5 been be AUX fuelectenerg-494 21 6 implemented implement VERB fuelectenerg-494 21 7 on on ADP fuelectenerg-494 21 8 a a DET fuelectenerg-494 21 9 xilinx xilinx NOUN fuelectenerg-494 21 10 fpga fpga PROPN fuelectenerg-494 21 11 chip chip NOUN fuelectenerg-494 21 12 for for ADP fuelectenerg-494 21 13 the the DET fuelectenerg-494 21 14 various various ADJ fuelectenerg-494 21 15 dynamic dynamic ADJ fuelectenerg-494 21 16 range range NOUN fuelectenerg-494 21 17 requirements requirement NOUN fuelectenerg-494 21 18 . . PUNCT fuelectenerg-494 22 1 keywords keyword NOUN fuelectenerg-494 22 2 : : PUNCT fuelectenerg-494 22 3 rns rn NOUN fuelectenerg-494 22 4 system system NOUN fuelectenerg-494 22 5 , , PUNCT fuelectenerg-494 22 6 special special ADJ fuelectenerg-494 22 7 moduli modulus NOUN fuelectenerg-494 22 8 set set NOUN fuelectenerg-494 22 9 , , PUNCT fuelectenerg-494 22 10 forward forward ADJ fuelectenerg-494 22 11 encoder encoder NOUN fuelectenerg-494 22 12 , , PUNCT fuelectenerg-494 22 13 diminished-1 diminished-1 NUM fuelectenerg-494 22 14 encoded encode VERB fuelectenerg-494 22 15 channel channel NOUN fuelectenerg-494 22 16 , , PUNCT fuelectenerg-494 22 17 modulo modulo NOUN fuelectenerg-494 22 18 carry carry VERB fuelectenerg-494 22 19 save save NOUN fuelectenerg-494 22 20 adders adder NOUN fuelectenerg-494 22 21 , , PUNCT fuelectenerg-494 22 22 virtex virtex PROPN fuelectenerg-494 22 23 fpga fpga PROPN fuelectenerg-494 22 24 . . PUNCT fuelectenerg-494 23 1 1 1 NUM fuelectenerg-494 23 2 introduction introduction NOUN fuelectenerg-494 23 3 residue residue NOUN fuelectenerg-494 23 4 number number NOUN fuelectenerg-494 23 5 system system NOUN fuelectenerg-494 23 6 [ [ X fuelectenerg-494 23 7 1 1 NUM fuelectenerg-494 23 8 , , PUNCT fuelectenerg-494 23 9 2 2 NUM fuelectenerg-494 23 10 ] ] PUNCT fuelectenerg-494 23 11 is be AUX fuelectenerg-494 23 12 a a DET fuelectenerg-494 23 13 non non ADJ fuelectenerg-494 23 14 - - ADJ fuelectenerg-494 23 15 weighted weighted ADJ fuelectenerg-494 23 16 integer integer NOUN fuelectenerg-494 23 17 number number NOUN fuelectenerg-494 23 18 system system NOUN fuelectenerg-494 23 19 in in ADP fuelectenerg-494 23 20 which which PRON fuelectenerg-494 23 21 arithmetic arithmetic ADJ fuelectenerg-494 23 22 operations operation NOUN fuelectenerg-494 23 23 are be AUX fuelectenerg-494 23 24 limited limit VERB fuelectenerg-494 23 25 to to ADP fuelectenerg-494 23 26 the the DET fuelectenerg-494 23 27 addition addition NOUN fuelectenerg-494 23 28 , , PUNCT fuelectenerg-494 23 29 subtraction subtraction NOUN fuelectenerg-494 23 30 and and CCONJ fuelectenerg-494 23 31 multiplication multiplication NOUN fuelectenerg-494 23 32 . . PUNCT fuelectenerg-494 24 1 other other ADJ fuelectenerg-494 24 2 arithmetic arithmetic ADJ fuelectenerg-494 24 3 operations operation NOUN fuelectenerg-494 24 4 such such ADJ fuelectenerg-494 24 5 as as ADP fuelectenerg-494 24 6 division division NOUN fuelectenerg-494 24 7 , , PUNCT fuelectenerg-494 24 8 sign sign NOUN fuelectenerg-494 24 9 detection detection NOUN fuelectenerg-494 24 10 , , PUNCT fuelectenerg-494 24 11 overflow overflow NOUN fuelectenerg-494 24 12 , , PUNCT fuelectenerg-494 24 13 scaling scale VERB fuelectenerg-494 24 14 manuscript manuscript NOUN fuelectenerg-494 24 15 received receive VERB fuelectenerg-494 24 16 on on ADP fuelectenerg-494 24 17 september september PROPN fuelectenerg-494 24 18 25 25 NUM fuelectenerg-494 24 19 , , PUNCT fuelectenerg-494 24 20 2014 2014 NUM fuelectenerg-494 24 21 . . PUNCT fuelectenerg-494 25 1 i. i. PROPN fuelectenerg-494 25 2 krstić krstić PROPN fuelectenerg-494 25 3 is be AUX fuelectenerg-494 25 4 with with ADP fuelectenerg-494 25 5 university university NOUN fuelectenerg-494 25 6 of of ADP fuelectenerg-494 25 7 priština priština PROPN fuelectenerg-494 25 8 , , PUNCT fuelectenerg-494 25 9 faculty faculty NOUN fuelectenerg-494 25 10 of of ADP fuelectenerg-494 25 11 technical technical ADJ fuelectenerg-494 25 12 sciences science NOUN fuelectenerg-494 25 13 ( ( PUNCT fuelectenerg-494 25 14 e e NOUN fuelectenerg-494 25 15 - - NOUN fuelectenerg-494 25 16 mail mail NOUN fuelectenerg-494 25 17 ivan.krstic@pr.ac.rs ivan.krstic@pr.ac.r NOUN fuelectenerg-494 25 18 ) ) PUNCT fuelectenerg-494 25 19 . . PUNCT fuelectenerg-494 26 1 n. n. PROPN fuelectenerg-494 26 2 stamenkovic stamenkovic PROPN fuelectenerg-494 26 3 is be AUX fuelectenerg-494 26 4 with with ADP fuelectenerg-494 26 5 university university NOUN fuelectenerg-494 26 6 of of ADP fuelectenerg-494 26 7 priština priština PROPN fuelectenerg-494 26 8 , , PUNCT fuelectenerg-494 26 9 faculty faculty NOUN fuelectenerg-494 26 10 of of ADP fuelectenerg-494 26 11 natural natural ADJ fuelectenerg-494 26 12 sciences science NOUN fuelectenerg-494 26 13 and and CCONJ fuelectenerg-494 26 14 mathematics mathematic NOUN fuelectenerg-494 26 15 ( ( PUNCT fuelectenerg-494 26 16 e e NOUN fuelectenerg-494 26 17 - - NOUN fuelectenerg-494 26 18 mail mail NOUN fuelectenerg-494 26 19 negovan.stamenkovic@pr.ac.rs negovan.stamenkovic@pr.ac.rs NOUN fuelectenerg-494 26 20 ) ) PUNCT fuelectenerg-494 26 21 . . PUNCT fuelectenerg-494 27 1 v. v. ADP fuelectenerg-494 27 2 stojanović stojanović ADJ fuelectenerg-494 27 3 is be AUX fuelectenerg-494 27 4 with with ADP fuelectenerg-494 27 5 university university NOUN fuelectenerg-494 27 6 of of ADP fuelectenerg-494 27 7 niš niš PROPN fuelectenerg-494 27 8 , , PUNCT fuelectenerg-494 27 9 faculty faculty NOUN fuelectenerg-494 27 10 of of ADP fuelectenerg-494 27 11 electronic electronic ADJ fuelectenerg-494 27 12 engineering engineering NOUN fuelectenerg-494 27 13 ( ( PUNCT fuelectenerg-494 27 14 e e NOUN fuelectenerg-494 27 15 - - NOUN fuelectenerg-494 27 16 mail mail NOUN fuelectenerg-494 27 17 vidosav.stojanovic@elfak.ni.ac.rs vidosav.stojanovic@elfak.ni.ac.rs NOUN fuelectenerg-494 27 18 ) ) PUNCT fuelectenerg-494 27 19 . . PUNCT fuelectenerg-494 28 1 1 1 NUM fuelectenerg-494 28 2 facta facta NOUN fuelectenerg-494 28 3 universitatis universitatis PROPN fuelectenerg-494 28 4 ( ( PUNCT fuelectenerg-494 28 5 niš niš NOUN fuelectenerg-494 28 6 ) ) PUNCT fuelectenerg-494 28 7 ser ser NOUN fuelectenerg-494 28 8 . . PUNCT fuelectenerg-494 28 9 : : PUNCT fuelectenerg-494 29 1 elec elec PROPN fuelectenerg-494 29 2 . . PUNCT fuelectenerg-494 29 3 energ energ PROPN fuelectenerg-494 29 4 . . PUNCT fuelectenerg-494 30 1 vol vol NOUN fuelectenerg-494 30 2 . . PROPN fuelectenerg-494 31 1 27 27 NUM fuelectenerg-494 31 2 , , PUNCT fuelectenerg-494 31 3 no no INTJ fuelectenerg-494 31 4 . . NOUN fuelectenerg-494 31 5 4 4 NUM fuelectenerg-494 31 6 , , PUNCT fuelectenerg-494 31 7 december december PROPN fuelectenerg-494 31 8 2014 2014 NUM fuelectenerg-494 31 9 , , PUNCT fuelectenerg-494 31 10 xx xx PROPN fuelectenerg-494 31 11 - - PUNCT fuelectenerg-494 31 12 xx xx NUM fuelectenerg-494 31 13 binary binary NOUN fuelectenerg-494 31 14 to to ADP fuelectenerg-494 31 15 rns rn NOUN fuelectenerg-494 31 16 encoder encoder NOUN fuelectenerg-494 31 17 for for ADP fuelectenerg-494 31 18 the the DET fuelectenerg-494 31 19 moduli moduli NOUN fuelectenerg-494 31 20 set set VERB fuelectenerg-494 31 21 { { PUNCT fuelectenerg-494 31 22 2n 2n NUM fuelectenerg-494 31 23 −1,2n,2n −1,2n,2n PROPN fuelectenerg-494 31 24 +1 +1 PROPN fuelectenerg-494 31 25 } } PUNCT fuelectenerg-494 31 26 with with ADP fuelectenerg-494 31 27 embedded embed VERB fuelectenerg-494 31 28 diminished-1 diminished-1 NUM fuelectenerg-494 31 29 channel channel NOUN fuelectenerg-494 31 30 for for ADP fuelectenerg-494 31 31 dsp dsp NOUN fuelectenerg-494 31 32 application application NOUN fuelectenerg-494 31 33 ivan ivan PROPN fuelectenerg-494 31 34 krstić krstić PROPN fuelectenerg-494 31 35 , , PUNCT fuelectenerg-494 31 36 negovan negovan NOUN fuelectenerg-494 31 37 stamenković stamenković NOUN fuelectenerg-494 31 38 and and CCONJ fuelectenerg-494 31 39 vidosav vidosav VERB fuelectenerg-494 31 40 stojanović stojanović ADJ fuelectenerg-494 31 41 abstract abstract NOUN fuelectenerg-494 31 42 : : PUNCT fuelectenerg-494 31 43 a a DET fuelectenerg-494 31 44 binary binary NOUN fuelectenerg-494 31 45 - - PUNCT fuelectenerg-494 31 46 to to ADP fuelectenerg-494 31 47 - - PUNCT fuelectenerg-494 31 48 residues residue NOUN fuelectenerg-494 31 49 encoder encoder NOUN fuelectenerg-494 31 50 ( ( PUNCT fuelectenerg-494 31 51 forward forward ADJ fuelectenerg-494 31 52 encoder encoder NOUN fuelectenerg-494 31 53 ) ) PUNCT fuelectenerg-494 31 54 is be AUX fuelectenerg-494 31 55 an an DET fuelectenerg-494 31 56 essential essential ADJ fuelectenerg-494 31 57 building building NOUN fuelectenerg-494 31 58 block block NOUN fuelectenerg-494 31 59 for for ADP fuelectenerg-494 31 60 the the DET fuelectenerg-494 31 61 residue residue NOUN fuelectenerg-494 31 62 number number NOUN fuelectenerg-494 31 63 system system NOUN fuelectenerg-494 31 64 digital digital ADJ fuelectenerg-494 31 65 signal signal NOUN fuelectenerg-494 31 66 processing processing NOUN fuelectenerg-494 31 67 ( ( PUNCT fuelectenerg-494 31 68 rns rn NOUN fuelectenerg-494 31 69 dsp dsp PROPN fuelectenerg-494 31 70 ) ) PUNCT fuelectenerg-494 31 71 and and CCONJ fuelectenerg-494 31 72 as as ADP fuelectenerg-494 31 73 such such ADJ fuelectenerg-494 31 74 it it PRON fuelectenerg-494 31 75 should should AUX fuelectenerg-494 31 76 be be AUX fuelectenerg-494 31 77 built build VERB fuelectenerg-494 31 78 with with ADP fuelectenerg-494 31 79 a a DET fuelectenerg-494 31 80 minimal minimal ADJ fuelectenerg-494 31 81 amount amount NOUN fuelectenerg-494 31 82 of of ADP fuelectenerg-494 31 83 hardware hardware NOUN fuelectenerg-494 31 84 and and CCONJ fuelectenerg-494 31 85 be be AUX fuelectenerg-494 31 86 efficient efficient ADJ fuelectenerg-494 31 87 in in ADP fuelectenerg-494 31 88 terms term NOUN fuelectenerg-494 31 89 of of ADP fuelectenerg-494 31 90 speed speed NOUN fuelectenerg-494 31 91 and and CCONJ fuelectenerg-494 31 92 power power NOUN fuelectenerg-494 31 93 . . PUNCT fuelectenerg-494 32 1 the the DET fuelectenerg-494 32 2 main main ADJ fuelectenerg-494 32 3 parts part NOUN fuelectenerg-494 32 4 of of ADP fuelectenerg-494 32 5 the the DET fuelectenerg-494 32 6 forward forward ADJ fuelectenerg-494 32 7 encoder encoder NOUN fuelectenerg-494 32 8 are be AUX fuelectenerg-494 32 9 residue residue NOUN fuelectenerg-494 32 10 generators generator NOUN fuelectenerg-494 32 11 which which PRON fuelectenerg-494 32 12 are be AUX fuelectenerg-494 32 13 usually usually ADV fuelectenerg-494 32 14 classified classify VERB fuelectenerg-494 32 15 into into ADP fuelectenerg-494 32 16 two two NUM fuelectenerg-494 32 17 categories category NOUN fuelectenerg-494 32 18 : : PUNCT fuelectenerg-494 32 19 the the DET fuelectenerg-494 32 20 one one NOUN fuelectenerg-494 32 21 based base VERB fuelectenerg-494 32 22 on on ADP fuelectenerg-494 32 23 arbitrary arbitrary ADJ fuelectenerg-494 32 24 moduli modulus NOUN fuelectenerg-494 32 25 - - PUNCT fuelectenerg-494 32 26 set set NOUN fuelectenerg-494 32 27 which which PRON fuelectenerg-494 32 28 make make VERB fuelectenerg-494 32 29 use use NOUN fuelectenerg-494 32 30 of of ADP fuelectenerg-494 32 31 look look VERB fuelectenerg-494 32 32 - - PUNCT fuelectenerg-494 32 33 up up ADP fuelectenerg-494 32 34 tables table NOUN fuelectenerg-494 32 35 , , PUNCT fuelectenerg-494 32 36 and and CCONJ fuelectenerg-494 32 37 the the DET fuelectenerg-494 32 38 other other ADJ fuelectenerg-494 32 39 based base VERB fuelectenerg-494 32 40 on on ADP fuelectenerg-494 32 41 the the DET fuelectenerg-494 32 42 special special ADJ fuelectenerg-494 32 43 moduli moduli NOUN fuelectenerg-494 32 44 sets set VERB fuelectenerg-494 32 45 . . PUNCT fuelectenerg-494 33 1 a a DET fuelectenerg-494 33 2 new new ADJ fuelectenerg-494 33 3 memoryless memoryless NOUN fuelectenerg-494 33 4 architecture architecture NOUN fuelectenerg-494 33 5 of of ADP fuelectenerg-494 33 6 binary binary NOUN fuelectenerg-494 33 7 - - PUNCT fuelectenerg-494 33 8 to to ADP fuelectenerg-494 33 9 - - PUNCT fuelectenerg-494 33 10 rns rn NOUN fuelectenerg-494 33 11 encoder encoder NOUN fuelectenerg-494 33 12 based base VERB fuelectenerg-494 33 13 on on ADP fuelectenerg-494 33 14 the the DET fuelectenerg-494 33 15 special special ADJ fuelectenerg-494 33 16 moduli moduli NOUN fuelectenerg-494 33 17 set set VERB fuelectenerg-494 33 18 { { PUNCT fuelectenerg-494 33 19 2n 2n NUM fuelectenerg-494 33 20 − − ADP fuelectenerg-494 33 21 1,2n,2n 1,2n,2n NUM fuelectenerg-494 33 22 + + CCONJ fuelectenerg-494 33 23 1 1 X fuelectenerg-494 33 24 } } PUNCT fuelectenerg-494 33 25 with with ADP fuelectenerg-494 33 26 embedded embed VERB fuelectenerg-494 33 27 modulo modulo NOUN fuelectenerg-494 33 28 2n 2n NUM fuelectenerg-494 33 29 + + CCONJ fuelectenerg-494 33 30 1 1 NUM fuelectenerg-494 33 31 channel channel NOUN fuelectenerg-494 33 32 in in ADP fuelectenerg-494 33 33 the the PRON fuelectenerg-494 33 34 diminished-1 diminished-1 NUM fuelectenerg-494 33 35 representation representation NOUN fuelectenerg-494 33 36 is be AUX fuelectenerg-494 33 37 presented present VERB fuelectenerg-494 33 38 . . PUNCT fuelectenerg-494 34 1 any any PRON fuelectenerg-494 34 2 of of ADP fuelectenerg-494 34 3 two two NUM fuelectenerg-494 34 4 channels channel NOUN fuelectenerg-494 34 5 ( ( PUNCT fuelectenerg-494 34 6 standard standard ADJ fuelectenerg-494 34 7 modulo modulo NOUN fuelectenerg-494 34 8 2n 2n NUM fuelectenerg-494 34 9 + + CCONJ fuelectenerg-494 34 10 1 1 NUM fuelectenerg-494 34 11 , , PUNCT fuelectenerg-494 34 12 or or CCONJ fuelectenerg-494 34 13 modulo modulo NOUN fuelectenerg-494 34 14 2n 2n X fuelectenerg-494 34 15 +1 +1 NOUN fuelectenerg-494 34 16 in in ADP fuelectenerg-494 34 17 the the DET fuelectenerg-494 34 18 diminished-1 diminished-1 NUM fuelectenerg-494 34 19 representation representation NOUN fuelectenerg-494 34 20 ) ) PUNCT fuelectenerg-494 34 21 operation operation NOUN fuelectenerg-494 34 22 can can AUX fuelectenerg-494 34 23 be be AUX fuelectenerg-494 34 24 performed perform VERB fuelectenerg-494 34 25 by by ADP fuelectenerg-494 34 26 using use VERB fuelectenerg-494 34 27 a a DET fuelectenerg-494 34 28 single single ADJ fuelectenerg-494 34 29 switch switch NOUN fuelectenerg-494 34 30 . . PUNCT fuelectenerg-494 35 1 the the DET fuelectenerg-494 35 2 proposed propose VERB fuelectenerg-494 35 3 encoder encoder NOUN fuelectenerg-494 35 4 has have AUX fuelectenerg-494 35 5 been be AUX fuelectenerg-494 35 6 implemented implement VERB fuelectenerg-494 35 7 on on ADP fuelectenerg-494 35 8 a a DET fuelectenerg-494 35 9 xilinx xilinx NOUN fuelectenerg-494 35 10 fpga fpga PROPN fuelectenerg-494 35 11 chip chip NOUN fuelectenerg-494 35 12 for for ADP fuelectenerg-494 35 13 the the DET fuelectenerg-494 35 14 various various ADJ fuelectenerg-494 35 15 dynamic dynamic ADJ fuelectenerg-494 35 16 range range NOUN fuelectenerg-494 35 17 requirements requirement NOUN fuelectenerg-494 35 18 . . PUNCT fuelectenerg-494 36 1 keywords keyword NOUN fuelectenerg-494 36 2 : : PUNCT fuelectenerg-494 36 3 rns rn NOUN fuelectenerg-494 36 4 system system NOUN fuelectenerg-494 36 5 , , PUNCT fuelectenerg-494 36 6 special special ADJ fuelectenerg-494 36 7 moduli modulus NOUN fuelectenerg-494 36 8 set set NOUN fuelectenerg-494 36 9 , , PUNCT fuelectenerg-494 36 10 forward forward ADJ fuelectenerg-494 36 11 encoder encoder NOUN fuelectenerg-494 36 12 , , PUNCT fuelectenerg-494 36 13 diminished-1 diminished-1 NUM fuelectenerg-494 36 14 encoded encode VERB fuelectenerg-494 36 15 channel channel NOUN fuelectenerg-494 36 16 , , PUNCT fuelectenerg-494 36 17 modulo modulo NOUN fuelectenerg-494 36 18 carry carry VERB fuelectenerg-494 36 19 save save NOUN fuelectenerg-494 36 20 adders adder NOUN fuelectenerg-494 36 21 , , PUNCT fuelectenerg-494 36 22 virtex virtex PROPN fuelectenerg-494 36 23 fpga fpga PROPN fuelectenerg-494 36 24 . . PUNCT fuelectenerg-494 37 1 1 1 NUM fuelectenerg-494 37 2 introduction introduction NOUN fuelectenerg-494 37 3 residue residue NOUN fuelectenerg-494 37 4 number number NOUN fuelectenerg-494 37 5 system system NOUN fuelectenerg-494 37 6 [ [ X fuelectenerg-494 37 7 1 1 NUM fuelectenerg-494 37 8 , , PUNCT fuelectenerg-494 37 9 2 2 NUM fuelectenerg-494 37 10 ] ] PUNCT fuelectenerg-494 37 11 is be AUX fuelectenerg-494 37 12 a a DET fuelectenerg-494 37 13 non non ADJ fuelectenerg-494 37 14 - - ADJ fuelectenerg-494 37 15 weighted weighted ADJ fuelectenerg-494 37 16 integer integer NOUN fuelectenerg-494 37 17 number number NOUN fuelectenerg-494 37 18 system system NOUN fuelectenerg-494 37 19 in in ADP fuelectenerg-494 37 20 which which PRON fuelectenerg-494 37 21 arithmetic arithmetic ADJ fuelectenerg-494 37 22 operations operation NOUN fuelectenerg-494 37 23 are be AUX fuelectenerg-494 37 24 limited limit VERB fuelectenerg-494 37 25 to to ADP fuelectenerg-494 37 26 the the DET fuelectenerg-494 37 27 addition addition NOUN fuelectenerg-494 37 28 , , PUNCT fuelectenerg-494 37 29 subtraction subtraction NOUN fuelectenerg-494 37 30 and and CCONJ fuelectenerg-494 37 31 multiplication multiplication NOUN fuelectenerg-494 37 32 . . PUNCT fuelectenerg-494 38 1 other other ADJ fuelectenerg-494 38 2 arithmetic arithmetic ADJ fuelectenerg-494 38 3 operations operation NOUN fuelectenerg-494 38 4 such such ADJ fuelectenerg-494 38 5 as as ADP fuelectenerg-494 38 6 division division NOUN fuelectenerg-494 38 7 , , PUNCT fuelectenerg-494 38 8 sign sign NOUN fuelectenerg-494 38 9 detection detection NOUN fuelectenerg-494 38 10 , , PUNCT fuelectenerg-494 38 11 overflow overflow NOUN fuelectenerg-494 38 12 , , PUNCT fuelectenerg-494 38 13 scaling scale VERB fuelectenerg-494 38 14 manuscript manuscript NOUN fuelectenerg-494 38 15 received receive VERB fuelectenerg-494 38 16 on on ADP fuelectenerg-494 38 17 september september PROPN fuelectenerg-494 38 18 25 25 NUM fuelectenerg-494 38 19 , , PUNCT fuelectenerg-494 38 20 2014 2014 NUM fuelectenerg-494 38 21 . . PUNCT fuelectenerg-494 39 1 i. i. PROPN fuelectenerg-494 39 2 krstić krstić PROPN fuelectenerg-494 39 3 is be AUX fuelectenerg-494 39 4 with with ADP fuelectenerg-494 39 5 university university NOUN fuelectenerg-494 39 6 of of ADP fuelectenerg-494 39 7 priština priština PROPN fuelectenerg-494 39 8 , , PUNCT fuelectenerg-494 39 9 faculty faculty NOUN fuelectenerg-494 39 10 of of ADP fuelectenerg-494 39 11 technical technical ADJ fuelectenerg-494 39 12 sciences science NOUN fuelectenerg-494 39 13 ( ( PUNCT fuelectenerg-494 39 14 e e NOUN fuelectenerg-494 39 15 - - NOUN fuelectenerg-494 39 16 mail mail NOUN fuelectenerg-494 39 17 ivan.krstic@pr.ac.rs ivan.krstic@pr.ac.r NOUN fuelectenerg-494 39 18 ) ) PUNCT fuelectenerg-494 39 19 . . PUNCT fuelectenerg-494 40 1 n. n. PROPN fuelectenerg-494 40 2 stamenkovic stamenkovic PROPN fuelectenerg-494 40 3 is be AUX fuelectenerg-494 40 4 with with ADP fuelectenerg-494 40 5 university university NOUN fuelectenerg-494 40 6 of of ADP fuelectenerg-494 40 7 priština priština PROPN fuelectenerg-494 40 8 , , PUNCT fuelectenerg-494 40 9 faculty faculty NOUN fuelectenerg-494 40 10 of of ADP fuelectenerg-494 40 11 natural natural ADJ fuelectenerg-494 40 12 sciences science NOUN fuelectenerg-494 40 13 and and CCONJ fuelectenerg-494 40 14 mathematics mathematic NOUN fuelectenerg-494 40 15 ( ( PUNCT fuelectenerg-494 40 16 e e NOUN fuelectenerg-494 40 17 - - NOUN fuelectenerg-494 40 18 mail mail NOUN fuelectenerg-494 40 19 negovan.stamenkovic@pr.ac.rs negovan.stamenkovic@pr.ac.rs NOUN fuelectenerg-494 40 20 ) ) PUNCT fuelectenerg-494 40 21 . . PUNCT fuelectenerg-494 41 1 v. v. ADP fuelectenerg-494 41 2 stojanović stojanović ADJ fuelectenerg-494 41 3 is be AUX fuelectenerg-494 41 4 with with ADP fuelectenerg-494 41 5 university university NOUN fuelectenerg-494 41 6 of of ADP fuelectenerg-494 41 7 niš niš PROPN fuelectenerg-494 41 8 , , PUNCT fuelectenerg-494 41 9 faculty faculty NOUN fuelectenerg-494 41 10 of of ADP fuelectenerg-494 41 11 electronic electronic ADJ fuelectenerg-494 41 12 engineering engineering NOUN fuelectenerg-494 41 13 ( ( PUNCT fuelectenerg-494 41 14 e e NOUN fuelectenerg-494 41 15 - - NOUN fuelectenerg-494 41 16 mail mail NOUN fuelectenerg-494 41 17 vidosav.stojanovic@elfak.ni.ac.rs vidosav.stojanovic@elfak.ni.ac.rs NOUN fuelectenerg-494 41 18 ) ) PUNCT fuelectenerg-494 41 19 . . PUNCT fuelectenerg-494 42 1 1 1 NUM fuelectenerg-494 42 2 102 102 NUM fuelectenerg-494 42 3 i. i. NOUN fuelectenerg-494 42 4 krstić krstić PROPN fuelectenerg-494 42 5 , , PUNCT fuelectenerg-494 42 6 n. n. PROPN fuelectenerg-494 42 7 stamenković stamenković PROPN fuelectenerg-494 42 8 , , PUNCT fuelectenerg-494 42 9 v. v. ADP fuelectenerg-494 42 10 stojanović stojanović PROPN fuelectenerg-494 42 11 binary binary PROPN fuelectenerg-494 42 12 to to ADP fuelectenerg-494 42 13 rns rn NOUN fuelectenerg-494 42 14 encoder encoder NOUN fuelectenerg-494 42 15 with with ADP fuelectenerg-494 42 16 diminished-1 diminished-1 NUM fuelectenerg-494 42 17 encoded encode VERB fuelectenerg-494 42 18 channel channel NOUN fuelectenerg-494 42 19 103 103 NUM fuelectenerg-494 42 20 2 2 NUM fuelectenerg-494 42 21 i. i. PROPN fuelectenerg-494 42 22 krstić krstić PROPN fuelectenerg-494 42 23 , , PUNCT fuelectenerg-494 42 24 n. n. PROPN fuelectenerg-494 42 25 stamenković stamenković PROPN fuelectenerg-494 42 26 and and CCONJ fuelectenerg-494 42 27 v. v. ADP fuelectenerg-494 42 28 stojanović stojanović ADJ fuelectenerg-494 42 29 : : PUNCT fuelectenerg-494 42 30 and and CCONJ fuelectenerg-494 42 31 magnitude magnitude NOUN fuelectenerg-494 42 32 comparison comparison NOUN fuelectenerg-494 42 33 are be AUX fuelectenerg-494 42 34 non non ADJ fuelectenerg-494 42 35 - - ADJ fuelectenerg-494 42 36 modular modular ADJ fuelectenerg-494 42 37 and and CCONJ fuelectenerg-494 42 38 quite quite ADV fuelectenerg-494 42 39 complex complex ADJ fuelectenerg-494 42 40 for for ADP fuelectenerg-494 42 41 implementation implementation NOUN fuelectenerg-494 42 42 . . PUNCT fuelectenerg-494 43 1 the the DET fuelectenerg-494 43 2 rns rn NOUN fuelectenerg-494 43 3 is be AUX fuelectenerg-494 43 4 defined define VERB fuelectenerg-494 43 5 in in ADP fuelectenerg-494 43 6 terms term NOUN fuelectenerg-494 43 7 of of ADP fuelectenerg-494 43 8 a a DET fuelectenerg-494 43 9 set set NOUN fuelectenerg-494 43 10 of of ADP fuelectenerg-494 43 11 relatively relatively ADV fuelectenerg-494 43 12 prime prime ADJ fuelectenerg-494 43 13 moduli modulus NOUN fuelectenerg-494 43 14 called call VERB fuelectenerg-494 43 15 rns rn NOUN fuelectenerg-494 43 16 basis basis NOUN fuelectenerg-494 43 17 . . PUNCT fuelectenerg-494 44 1 special special ADJ fuelectenerg-494 44 2 moduli modulus NOUN fuelectenerg-494 44 3 set set VERB fuelectenerg-494 44 4 { { PUNCT fuelectenerg-494 44 5 2n 2n NUM fuelectenerg-494 44 6 −1,2n,2n −1,2n,2n PROPN fuelectenerg-494 44 7 +1 +1 PROPN fuelectenerg-494 44 8 } } PUNCT fuelectenerg-494 44 9 has have AUX fuelectenerg-494 44 10 gained gain VERB fuelectenerg-494 44 11 popularity popularity NOUN fuelectenerg-494 44 12 and and CCONJ fuelectenerg-494 44 13 is be AUX fuelectenerg-494 44 14 expected expect VERB fuelectenerg-494 44 15 to to PART fuelectenerg-494 44 16 play play VERB fuelectenerg-494 44 17 an an DET fuelectenerg-494 44 18 important important ADJ fuelectenerg-494 44 19 role role NOUN fuelectenerg-494 44 20 in in ADP fuelectenerg-494 44 21 rns rn NOUN fuelectenerg-494 44 22 digital digital ADJ fuelectenerg-494 44 23 signal signal NOUN fuelectenerg-494 44 24 processing processing NOUN fuelectenerg-494 44 25 [ [ X fuelectenerg-494 44 26 3 3 NUM fuelectenerg-494 44 27 ] ] PUNCT fuelectenerg-494 44 28 . . PUNCT fuelectenerg-494 45 1 in in ADP fuelectenerg-494 45 2 comparison comparison NOUN fuelectenerg-494 45 3 with with ADP fuelectenerg-494 45 4 the the DET fuelectenerg-494 45 5 other other ADJ fuelectenerg-494 45 6 moduli moduli NOUN fuelectenerg-494 45 7 sets set NOUN fuelectenerg-494 45 8 , , PUNCT fuelectenerg-494 45 9 special special ADJ fuelectenerg-494 45 10 moduli modulus NOUN fuelectenerg-494 45 11 set set VERB fuelectenerg-494 45 12 has have VERB fuelectenerg-494 45 13 the the DET fuelectenerg-494 45 14 advantage advantage NOUN fuelectenerg-494 45 15 of of ADP fuelectenerg-494 45 16 low low ADJ fuelectenerg-494 45 17 - - PUNCT fuelectenerg-494 45 18 cost cost NOUN fuelectenerg-494 45 19 forward forward ADV fuelectenerg-494 45 20 conversion conversion NOUN fuelectenerg-494 45 21 , , PUNCT fuelectenerg-494 45 22 modulo modulo NOUN fuelectenerg-494 45 23 reduction reduction NOUN fuelectenerg-494 45 24 , , PUNCT fuelectenerg-494 45 25 and and CCONJ fuelectenerg-494 45 26 the the DET fuelectenerg-494 45 27 reverse reverse ADJ fuelectenerg-494 45 28 conversion conversion NOUN fuelectenerg-494 45 29 . . PUNCT fuelectenerg-494 46 1 thus thus ADV fuelectenerg-494 46 2 , , PUNCT fuelectenerg-494 46 3 the the DET fuelectenerg-494 46 4 use use NOUN fuelectenerg-494 46 5 of of ADP fuelectenerg-494 46 6 this this DET fuelectenerg-494 46 7 moduli modulus NOUN fuelectenerg-494 46 8 set set VERB fuelectenerg-494 46 9 can can AUX fuelectenerg-494 46 10 significantly significantly ADV fuelectenerg-494 46 11 reduce reduce VERB fuelectenerg-494 46 12 hardware hardware NOUN fuelectenerg-494 46 13 complexity complexity NOUN fuelectenerg-494 46 14 and and CCONJ fuelectenerg-494 46 15 delay delay VERB fuelectenerg-494 46 16 [ [ X fuelectenerg-494 46 17 4 4 NUM fuelectenerg-494 46 18 ] ] PUNCT fuelectenerg-494 46 19 . . PUNCT fuelectenerg-494 47 1 the the DET fuelectenerg-494 47 2 rns rns PROPN fuelectenerg-494 47 3 dsp dsp NOUN fuelectenerg-494 47 4 consists consist VERB fuelectenerg-494 47 5 of of ADP fuelectenerg-494 47 6 three three NUM fuelectenerg-494 47 7 major major ADJ fuelectenerg-494 47 8 parts part NOUN fuelectenerg-494 47 9 : : PUNCT fuelectenerg-494 47 10 binary binary NOUN fuelectenerg-494 47 11 - - PUNCT fuelectenerg-494 47 12 to to ADP fuelectenerg-494 47 13 - - PUNCT fuelectenerg-494 47 14 residue residue NOUN fuelectenerg-494 47 15 encoder encoder NOUN fuelectenerg-494 47 16 , , PUNCT fuelectenerg-494 47 17 modular modular ADJ fuelectenerg-494 47 18 arithmetic arithmetic ADJ fuelectenerg-494 47 19 channels channel NOUN fuelectenerg-494 47 20 and and CCONJ fuelectenerg-494 47 21 residue residue NOUN fuelectenerg-494 47 22 to to ADP fuelectenerg-494 47 23 binary binary ADJ fuelectenerg-494 47 24 decoder decoder NOUN fuelectenerg-494 47 25 ( ( PUNCT fuelectenerg-494 47 26 reverse reverse ADJ fuelectenerg-494 47 27 converter converter NOUN fuelectenerg-494 47 28 ) ) PUNCT fuelectenerg-494 47 29 . . PUNCT fuelectenerg-494 48 1 the the DET fuelectenerg-494 48 2 forward forward ADJ fuelectenerg-494 48 3 encoder encoder NOUN fuelectenerg-494 48 4 and and CCONJ fuelectenerg-494 48 5 reverse reverse ADJ fuelectenerg-494 48 6 converter converter NOUN fuelectenerg-494 48 7 are be AUX fuelectenerg-494 48 8 needed need VERB fuelectenerg-494 48 9 to to PART fuelectenerg-494 48 10 achieve achieve VERB fuelectenerg-494 48 11 the the DET fuelectenerg-494 48 12 rns rn NOUN fuelectenerg-494 48 13 representation representation NOUN fuelectenerg-494 48 14 of of ADP fuelectenerg-494 48 15 the the DET fuelectenerg-494 48 16 binary binary ADJ fuelectenerg-494 48 17 number number NOUN fuelectenerg-494 48 18 and and CCONJ fuelectenerg-494 48 19 vice vice NOUN fuelectenerg-494 48 20 versa versa ADV fuelectenerg-494 48 21 , , PUNCT fuelectenerg-494 48 22 respectively respectively ADV fuelectenerg-494 48 23 [ [ X fuelectenerg-494 48 24 5 5 NUM fuelectenerg-494 48 25 ] ] PUNCT fuelectenerg-494 48 26 . . PUNCT fuelectenerg-494 49 1 the the DET fuelectenerg-494 49 2 above above ADV fuelectenerg-494 49 3 - - PUNCT fuelectenerg-494 49 4 mentioned mention VERB fuelectenerg-494 49 5 modular modular ADJ fuelectenerg-494 49 6 operations operation NOUN fuelectenerg-494 49 7 , , PUNCT fuelectenerg-494 49 8 required require VERB fuelectenerg-494 49 9 by by ADP fuelectenerg-494 49 10 each each DET fuelectenerg-494 49 11 modular modular ADJ fuelectenerg-494 49 12 arithmetic arithmetic ADJ fuelectenerg-494 49 13 channel channel NOUN fuelectenerg-494 49 14 , , PUNCT fuelectenerg-494 49 15 are be AUX fuelectenerg-494 49 16 inherently inherently ADV fuelectenerg-494 49 17 carry carry VERB fuelectenerg-494 49 18 - - PUNCT fuelectenerg-494 49 19 free free ADJ fuelectenerg-494 49 20 addition addition NOUN fuelectenerg-494 49 21 , , PUNCT fuelectenerg-494 49 22 multiplication multiplication NOUN fuelectenerg-494 49 23 and and CCONJ fuelectenerg-494 49 24 borrow borrow VERB fuelectenerg-494 49 25 - - PUNCT fuelectenerg-494 49 26 free free ADJ fuelectenerg-494 49 27 subtraction subtraction NOUN fuelectenerg-494 49 28 , , PUNCT fuelectenerg-494 49 29 which which PRON fuelectenerg-494 49 30 means mean VERB fuelectenerg-494 49 31 that that SCONJ fuelectenerg-494 49 32 each each DET fuelectenerg-494 49 33 digit digit NOUN fuelectenerg-494 49 34 of of ADP fuelectenerg-494 49 35 the the DET fuelectenerg-494 49 36 resulting result VERB fuelectenerg-494 49 37 number number NOUN fuelectenerg-494 49 38 is be AUX fuelectenerg-494 49 39 a a DET fuelectenerg-494 49 40 function function NOUN fuelectenerg-494 49 41 of of ADP fuelectenerg-494 49 42 only only ADV fuelectenerg-494 49 43 one one NUM fuelectenerg-494 49 44 digit digit NOUN fuelectenerg-494 49 45 from from ADP fuelectenerg-494 49 46 each each DET fuelectenerg-494 49 47 operand operand NOUN fuelectenerg-494 49 48 and and CCONJ fuelectenerg-494 49 49 independent independent NOUN fuelectenerg-494 49 50 of of ADP fuelectenerg-494 49 51 the the DET fuelectenerg-494 49 52 others other NOUN fuelectenerg-494 49 53 . . PUNCT fuelectenerg-494 50 1 this this PRON fuelectenerg-494 50 2 is be AUX fuelectenerg-494 50 3 the the DET fuelectenerg-494 50 4 most most ADV fuelectenerg-494 50 5 attractive attractive ADJ fuelectenerg-494 50 6 feature feature NOUN fuelectenerg-494 50 7 of of ADP fuelectenerg-494 50 8 rns rn NOUN fuelectenerg-494 50 9 that that PRON fuelectenerg-494 50 10 enables enable VERB fuelectenerg-494 50 11 one one NUM fuelectenerg-494 50 12 to to PART fuelectenerg-494 50 13 design design VERB fuelectenerg-494 50 14 highly highly ADV fuelectenerg-494 50 15 parallel parallel ADJ fuelectenerg-494 50 16 structures structure NOUN fuelectenerg-494 50 17 for for ADP fuelectenerg-494 50 18 computation computation NOUN fuelectenerg-494 50 19 which which PRON fuelectenerg-494 50 20 leads lead VERB fuelectenerg-494 50 21 to to ADP fuelectenerg-494 50 22 speed speed NOUN fuelectenerg-494 50 23 improvement improvement NOUN fuelectenerg-494 50 24 required require VERB fuelectenerg-494 50 25 for for ADP fuelectenerg-494 50 26 the the DET fuelectenerg-494 50 27 dsp dsp NOUN fuelectenerg-494 50 28 applications application NOUN fuelectenerg-494 50 29 [ [ X fuelectenerg-494 50 30 6 6 NUM fuelectenerg-494 50 31 , , PUNCT fuelectenerg-494 50 32 7 7 NUM fuelectenerg-494 50 33 , , PUNCT fuelectenerg-494 50 34 8 8 NUM fuelectenerg-494 50 35 , , PUNCT fuelectenerg-494 50 36 9 9 NUM fuelectenerg-494 50 37 , , PUNCT fuelectenerg-494 50 38 10 10 NUM fuelectenerg-494 50 39 ] ] PUNCT fuelectenerg-494 50 40 . . PUNCT fuelectenerg-494 51 1 a a DET fuelectenerg-494 51 2 binary binary ADJ fuelectenerg-494 51 3 - - PUNCT fuelectenerg-494 51 4 to to ADP fuelectenerg-494 51 5 - - PUNCT fuelectenerg-494 51 6 residues residue NOUN fuelectenerg-494 51 7 encoder encoder NOUN fuelectenerg-494 51 8 is be AUX fuelectenerg-494 51 9 an an DET fuelectenerg-494 51 10 essential essential ADJ fuelectenerg-494 51 11 building building NOUN fuelectenerg-494 51 12 block block NOUN fuelectenerg-494 51 13 for for ADP fuelectenerg-494 51 14 a a DET fuelectenerg-494 51 15 residue residue NOUN fuelectenerg-494 51 16 number number NOUN fuelectenerg-494 51 17 system system NOUN fuelectenerg-494 51 18 and and CCONJ fuelectenerg-494 51 19 as as ADP fuelectenerg-494 51 20 such such ADJ fuelectenerg-494 51 21 it it PRON fuelectenerg-494 51 22 should should AUX fuelectenerg-494 51 23 be be AUX fuelectenerg-494 51 24 built build VERB fuelectenerg-494 51 25 with with ADP fuelectenerg-494 51 26 a a DET fuelectenerg-494 51 27 minimal minimal ADJ fuelectenerg-494 51 28 amount amount NOUN fuelectenerg-494 51 29 of of ADP fuelectenerg-494 51 30 the the DET fuelectenerg-494 51 31 hardware hardware NOUN fuelectenerg-494 51 32 and and CCONJ fuelectenerg-494 51 33 along along ADP fuelectenerg-494 51 34 with with ADP fuelectenerg-494 51 35 that that PRON fuelectenerg-494 51 36 be be AUX fuelectenerg-494 51 37 efficient efficient ADJ fuelectenerg-494 51 38 in in ADP fuelectenerg-494 51 39 terms term NOUN fuelectenerg-494 51 40 of of ADP fuelectenerg-494 51 41 speed speed NOUN fuelectenerg-494 51 42 and and CCONJ fuelectenerg-494 51 43 power power NOUN fuelectenerg-494 51 44 . . PUNCT fuelectenerg-494 52 1 conceptually conceptually ADV fuelectenerg-494 52 2 , , PUNCT fuelectenerg-494 52 3 binaryto binaryto ADJ fuelectenerg-494 52 4 - - PUNCT fuelectenerg-494 52 5 residues residue NOUN fuelectenerg-494 52 6 encoder encoder NOUN fuelectenerg-494 52 7 involves involve VERB fuelectenerg-494 52 8 computation computation NOUN fuelectenerg-494 52 9 of of ADP fuelectenerg-494 52 10 the the DET fuelectenerg-494 52 11 remainders remainder NOUN fuelectenerg-494 52 12 of of ADP fuelectenerg-494 52 13 the the DET fuelectenerg-494 52 14 input input NOUN fuelectenerg-494 52 15 bit bit NOUN fuelectenerg-494 52 16 stream stream NOUN fuelectenerg-494 52 17 with with ADP fuelectenerg-494 52 18 respect respect NOUN fuelectenerg-494 52 19 to to ADP fuelectenerg-494 52 20 the the DET fuelectenerg-494 52 21 each each DET fuelectenerg-494 52 22 modulus modulus NOUN fuelectenerg-494 52 23 in in ADP fuelectenerg-494 52 24 the the DET fuelectenerg-494 52 25 rns rn NOUN fuelectenerg-494 52 26 moduli modulus NOUN fuelectenerg-494 52 27 set set VERB fuelectenerg-494 52 28 . . PUNCT fuelectenerg-494 53 1 in in ADP fuelectenerg-494 53 2 other other ADJ fuelectenerg-494 53 3 words word NOUN fuelectenerg-494 53 4 , , PUNCT fuelectenerg-494 53 5 the the DET fuelectenerg-494 53 6 binaryto binaryto ADJ fuelectenerg-494 53 7 - - PUNCT fuelectenerg-494 53 8 residues residue NOUN fuelectenerg-494 53 9 encoder encoder NOUN fuelectenerg-494 53 10 maps map VERB fuelectenerg-494 53 11 a a DET fuelectenerg-494 53 12 binary binary NOUN fuelectenerg-494 53 13 weighted weight VERB fuelectenerg-494 53 14 number number NOUN fuelectenerg-494 53 15 into into ADP fuelectenerg-494 53 16 a a DET fuelectenerg-494 53 17 finite finite ADJ fuelectenerg-494 53 18 ring ring NOUN fuelectenerg-494 53 19 [ [ X fuelectenerg-494 53 20 11 11 NUM fuelectenerg-494 53 21 ] ] PUNCT fuelectenerg-494 53 22 . . PUNCT fuelectenerg-494 54 1 a a DET fuelectenerg-494 54 2 finite finite ADJ fuelectenerg-494 54 3 ring ring NOUN fuelectenerg-494 54 4 is be AUX fuelectenerg-494 54 5 a a DET fuelectenerg-494 54 6 set set NOUN fuelectenerg-494 54 7 of of ADP fuelectenerg-494 54 8 finite finite ADJ fuelectenerg-494 54 9 elements element NOUN fuelectenerg-494 54 10 over over ADP fuelectenerg-494 54 11 which which PRON fuelectenerg-494 54 12 the the DET fuelectenerg-494 54 13 modular modular ADJ fuelectenerg-494 54 14 addition addition NOUN fuelectenerg-494 54 15 and and CCONJ fuelectenerg-494 54 16 the the DET fuelectenerg-494 54 17 modular modular ADJ fuelectenerg-494 54 18 multiplication multiplication NOUN fuelectenerg-494 54 19 operations operation NOUN fuelectenerg-494 54 20 are be AUX fuelectenerg-494 54 21 defined define VERB fuelectenerg-494 54 22 . . PUNCT fuelectenerg-494 55 1 main main ADJ fuelectenerg-494 55 2 parts part NOUN fuelectenerg-494 55 3 of of ADP fuelectenerg-494 55 4 binary binary NOUN fuelectenerg-494 55 5 - - PUNCT fuelectenerg-494 55 6 to to ADP fuelectenerg-494 55 7 - - PUNCT fuelectenerg-494 55 8 residues residue NOUN fuelectenerg-494 55 9 encoder encoder NOUN fuelectenerg-494 55 10 are be AUX fuelectenerg-494 55 11 the the DET fuelectenerg-494 55 12 forward forward ADJ fuelectenerg-494 55 13 converters converter NOUN fuelectenerg-494 55 14 ( ( PUNCT fuelectenerg-494 55 15 residue residue NOUN fuelectenerg-494 55 16 generators generator NOUN fuelectenerg-494 55 17 ) ) PUNCT fuelectenerg-494 55 18 . . PUNCT fuelectenerg-494 56 1 the the DET fuelectenerg-494 56 2 forward forward ADJ fuelectenerg-494 56 3 converters converter NOUN fuelectenerg-494 56 4 are be AUX fuelectenerg-494 56 5 usually usually ADV fuelectenerg-494 56 6 classified classify VERB fuelectenerg-494 56 7 into into ADP fuelectenerg-494 56 8 the the DET fuelectenerg-494 56 9 next next ADJ fuelectenerg-494 56 10 two two NUM fuelectenerg-494 56 11 categories category NOUN fuelectenerg-494 56 12 : : PUNCT fuelectenerg-494 56 13 the the DET fuelectenerg-494 56 14 one one NOUN fuelectenerg-494 56 15 based base VERB fuelectenerg-494 56 16 on on ADP fuelectenerg-494 56 17 the the DET fuelectenerg-494 56 18 arbitrary arbitrary ADJ fuelectenerg-494 56 19 moduli modulus NOUN fuelectenerg-494 56 20 - - PUNCT fuelectenerg-494 56 21 sets set NOUN fuelectenerg-494 56 22 [ [ X fuelectenerg-494 56 23 12 12 NUM fuelectenerg-494 56 24 , , PUNCT fuelectenerg-494 56 25 4 4 NUM fuelectenerg-494 56 26 ] ] PUNCT fuelectenerg-494 56 27 which which PRON fuelectenerg-494 56 28 are be AUX fuelectenerg-494 56 29 usually usually ADV fuelectenerg-494 56 30 built build VERB fuelectenerg-494 56 31 using use VERB fuelectenerg-494 56 32 the the DET fuelectenerg-494 56 33 look look VERB fuelectenerg-494 56 34 - - PUNCT fuelectenerg-494 56 35 up up ADP fuelectenerg-494 56 36 tables table NOUN fuelectenerg-494 56 37 , , PUNCT fuelectenerg-494 56 38 and and CCONJ fuelectenerg-494 56 39 the the DET fuelectenerg-494 56 40 other other ADJ fuelectenerg-494 56 41 based base VERB fuelectenerg-494 56 42 on on ADP fuelectenerg-494 56 43 special special ADJ fuelectenerg-494 56 44 moduli modulus NOUN fuelectenerg-494 56 45 - - PUNCT fuelectenerg-494 56 46 sets set NOUN fuelectenerg-494 56 47 [ [ X fuelectenerg-494 56 48 13 13 NUM fuelectenerg-494 56 49 , , PUNCT fuelectenerg-494 56 50 14 14 NUM fuelectenerg-494 56 51 , , PUNCT fuelectenerg-494 56 52 15 15 NUM fuelectenerg-494 56 53 ] ] PUNCT fuelectenerg-494 56 54 . . PUNCT fuelectenerg-494 57 1 the the DET fuelectenerg-494 57 2 use use NOUN fuelectenerg-494 57 3 of of ADP fuelectenerg-494 57 4 special special ADJ fuelectenerg-494 57 5 moduli modulus NOUN fuelectenerg-494 57 6 - - PUNCT fuelectenerg-494 57 7 sets set NOUN fuelectenerg-494 57 8 simplifies simplifie NOUN fuelectenerg-494 57 9 the the DET fuelectenerg-494 57 10 forward forward ADJ fuelectenerg-494 57 11 conversion conversion NOUN fuelectenerg-494 57 12 algorithms algorithm NOUN fuelectenerg-494 57 13 and and CCONJ fuelectenerg-494 57 14 such such ADJ fuelectenerg-494 57 15 forward forward ADJ fuelectenerg-494 57 16 converters converter NOUN fuelectenerg-494 57 17 can can AUX fuelectenerg-494 57 18 be be AUX fuelectenerg-494 57 19 realized realize VERB fuelectenerg-494 57 20 using use VERB fuelectenerg-494 57 21 only only ADJ fuelectenerg-494 57 22 combinational combinational ADJ fuelectenerg-494 57 23 logic logic NOUN fuelectenerg-494 57 24 . . PUNCT fuelectenerg-494 58 1 the the DET fuelectenerg-494 58 2 dynamic dynamic ADJ fuelectenerg-494 58 3 range range NOUN fuelectenerg-494 58 4 of of ADP fuelectenerg-494 58 5 rns rn NOUN fuelectenerg-494 58 6 system system NOUN fuelectenerg-494 58 7 , , PUNCT fuelectenerg-494 58 8 which which PRON fuelectenerg-494 58 9 is be AUX fuelectenerg-494 58 10 equal equal ADJ fuelectenerg-494 58 11 to to ADP fuelectenerg-494 58 12 the the DET fuelectenerg-494 58 13 product product NOUN fuelectenerg-494 58 14 of of ADP fuelectenerg-494 58 15 the the DET fuelectenerg-494 58 16 modulus modulus NOUN fuelectenerg-494 58 17 of of ADP fuelectenerg-494 58 18 three three NUM fuelectenerg-494 58 19 moduli modulus NOUN fuelectenerg-494 58 20 - - PUNCT fuelectenerg-494 58 21 set set VERB fuelectenerg-494 58 22 base base NOUN fuelectenerg-494 58 23 { { PUNCT fuelectenerg-494 58 24 2n 2n NUM fuelectenerg-494 58 25 −1,2n,2n −1,2n,2n PROPN fuelectenerg-494 58 26 +1 +1 PROPN fuelectenerg-494 58 27 } } PUNCT fuelectenerg-494 58 28 , , PUNCT fuelectenerg-494 58 29 is be AUX fuelectenerg-494 58 30 m m NOUN fuelectenerg-494 58 31 = = NOUN fuelectenerg-494 58 32 23n 23n NUM fuelectenerg-494 58 33 −2n −2n NOUN fuelectenerg-494 58 34 i.e. i.e. X fuelectenerg-494 58 35 corresponds correspond NOUN fuelectenerg-494 58 36 to to ADP fuelectenerg-494 58 37 the the DET fuelectenerg-494 58 38 3n 3n NUM fuelectenerg-494 58 39 bits bit NOUN fuelectenerg-494 58 40 . . PUNCT fuelectenerg-494 59 1 thus thus ADV fuelectenerg-494 59 2 , , PUNCT fuelectenerg-494 59 3 any any DET fuelectenerg-494 59 4 3n 3n NUM fuelectenerg-494 59 5 - - PUNCT fuelectenerg-494 59 6 bit bit NOUN fuelectenerg-494 59 7 unsigned unsigned ADJ fuelectenerg-494 59 8 binary binary ADJ fuelectenerg-494 59 9 integer integer NOUN fuelectenerg-494 59 10 x x AUX fuelectenerg-494 59 11 can can AUX fuelectenerg-494 59 12 be be AUX fuelectenerg-494 59 13 uniquely uniquely ADV fuelectenerg-494 59 14 represented represent VERB fuelectenerg-494 59 15 by by ADP fuelectenerg-494 59 16 its its PRON fuelectenerg-494 59 17 residues residue NOUN fuelectenerg-494 59 18 : : PUNCT fuelectenerg-494 59 19 x x SYM fuelectenerg-494 59 20 = = SYM fuelectenerg-494 59 21 ( ( PUNCT fuelectenerg-494 59 22 x1,x2,x3 x1,x2,x3 PROPN fuelectenerg-494 59 23 ) ) PUNCT fuelectenerg-494 59 24 , , PUNCT fuelectenerg-494 59 25 where where SCONJ fuelectenerg-494 59 26 x1 x1 PROPN fuelectenerg-494 59 27 is be AUX fuelectenerg-494 59 28 the the DET fuelectenerg-494 59 29 reminder reminder NOUN fuelectenerg-494 59 30 when when SCONJ fuelectenerg-494 59 31 x x PRON fuelectenerg-494 59 32 is be AUX fuelectenerg-494 59 33 divided divide VERB fuelectenerg-494 59 34 by by ADP fuelectenerg-494 59 35 modulo modulo PROPN fuelectenerg-494 59 36 2n 2n NUM fuelectenerg-494 59 37 −1 −1 NOUN fuelectenerg-494 59 38 denoted denote VERB fuelectenerg-494 59 39 as as ADP fuelectenerg-494 59 40 ⟨x⟩2n−1 ⟨x⟩2n−1 PROPN fuelectenerg-494 59 41 , , PUNCT fuelectenerg-494 59 42 x2 x2 NOUN fuelectenerg-494 59 43 = = PUNCT fuelectenerg-494 60 1 ⟨x⟩2n ⟨x⟩2n NOUN fuelectenerg-494 60 2 and and CCONJ fuelectenerg-494 60 3 x3 x3 NOUN fuelectenerg-494 60 4 = = SYM fuelectenerg-494 60 5 ⟨x⟩2n+1 ⟨x⟩2n+1 PROPN fuelectenerg-494 60 6 . . PUNCT fuelectenerg-494 61 1 the the DET fuelectenerg-494 61 2 diminished-1 diminished-1 NUM fuelectenerg-494 61 3 number number NOUN fuelectenerg-494 61 4 system system NOUN fuelectenerg-494 61 5 [ [ X fuelectenerg-494 61 6 16 16 NUM fuelectenerg-494 61 7 ] ] PUNCT fuelectenerg-494 61 8 can can AUX fuelectenerg-494 61 9 be be AUX fuelectenerg-494 61 10 used use VERB fuelectenerg-494 61 11 to to PART fuelectenerg-494 61 12 represent represent VERB fuelectenerg-494 61 13 modulo modulo ADJ fuelectenerg-494 61 14 2n 2n ADJ fuelectenerg-494 61 15 +1 +1 ADJ fuelectenerg-494 61 16 residue residue NOUN fuelectenerg-494 61 17 ( ( PUNCT fuelectenerg-494 61 18 x3 x3 NOUN fuelectenerg-494 61 19 = = SYM fuelectenerg-494 61 20 ⟨x⟩2n+1 ⟨x⟩2n+1 PROPN fuelectenerg-494 61 21 ) ) PUNCT fuelectenerg-494 61 22 as as ADP fuelectenerg-494 61 23 : : PUNCT fuelectenerg-494 61 24 x′3 x′3 PROPN fuelectenerg-494 61 25 = = PUNCT fuelectenerg-494 61 26 ⟨x ⟨x VERB fuelectenerg-494 61 27 −1⟩2n+1 −1⟩2n+1 NOUN fuelectenerg-494 61 28 . . PUNCT fuelectenerg-494 62 1 thus thus ADV fuelectenerg-494 62 2 , , PUNCT fuelectenerg-494 62 3 the the DET fuelectenerg-494 62 4 each each DET fuelectenerg-494 62 5 operand operand NOUN fuelectenerg-494 62 6 is be AUX fuelectenerg-494 62 7 represented represent VERB fuelectenerg-494 62 8 decreased decrease VERB fuelectenerg-494 62 9 by by ADP fuelectenerg-494 62 10 one one NUM fuelectenerg-494 62 11 , , PUNCT fuelectenerg-494 62 12 and and CCONJ fuelectenerg-494 62 13 the the DET fuelectenerg-494 62 14 zero zero NUM fuelectenerg-494 62 15 operands operand NOUN fuelectenerg-494 62 16 are be AUX fuelectenerg-494 62 17 not not PART fuelectenerg-494 62 18 used use VERB fuelectenerg-494 62 19 in in ADP fuelectenerg-494 62 20 the the DET fuelectenerg-494 62 21 computation computation NOUN fuelectenerg-494 62 22 channel channel NOUN fuelectenerg-494 62 23 . . PUNCT fuelectenerg-494 63 1 102 102 NUM fuelectenerg-494 63 2 i. i. NOUN fuelectenerg-494 63 3 krstić krstić PROPN fuelectenerg-494 63 4 , , PUNCT fuelectenerg-494 63 5 n. n. PROPN fuelectenerg-494 63 6 stamenković stamenković PROPN fuelectenerg-494 63 7 , , PUNCT fuelectenerg-494 63 8 v. v. ADP fuelectenerg-494 63 9 stojanović stojanović PROPN fuelectenerg-494 63 10 binary binary PROPN fuelectenerg-494 63 11 to to ADP fuelectenerg-494 63 12 rns rn NOUN fuelectenerg-494 63 13 encoder encoder NOUN fuelectenerg-494 63 14 with with ADP fuelectenerg-494 63 15 diminished-1 diminished-1 NUM fuelectenerg-494 63 16 encoded encode VERB fuelectenerg-494 63 17 channel channel NOUN fuelectenerg-494 63 18 103 103 NUM fuelectenerg-494 63 19 binary binary NOUN fuelectenerg-494 63 20 to to ADP fuelectenerg-494 63 21 rns rn NOUN fuelectenerg-494 63 22 encoder encoder NOUN fuelectenerg-494 63 23 with with ADP fuelectenerg-494 63 24 diminished-1 diminished-1 NUM fuelectenerg-494 63 25 encoded encode VERB fuelectenerg-494 63 26 channel channel NOUN fuelectenerg-494 63 27 3 3 NUM fuelectenerg-494 63 28 in in ADP fuelectenerg-494 63 29 the the DET fuelectenerg-494 63 30 diminished-1 diminished-1 NUM fuelectenerg-494 63 31 representation representation NOUN fuelectenerg-494 63 32 , , PUNCT fuelectenerg-494 63 33 x′3 x′3 PROPN fuelectenerg-494 63 34 is be AUX fuelectenerg-494 63 35 represented represent VERB fuelectenerg-494 63 36 as as ADP fuelectenerg-494 63 37 2nx3,n 2nx3,n PROPN fuelectenerg-494 63 38 + + PROPN fuelectenerg-494 63 39 x x PROPN fuelectenerg-494 63 40 ′ ′ NUM fuelectenerg-494 63 41 3 3 NUM fuelectenerg-494 63 42 , , PUNCT fuelectenerg-494 63 43 where where SCONJ fuelectenerg-494 63 44 x3,n x3,n PROPN fuelectenerg-494 63 45 is be AUX fuelectenerg-494 63 46 zero zero NUM fuelectenerg-494 63 47 indication indication NOUN fuelectenerg-494 63 48 bit bit NOUN fuelectenerg-494 63 49 , , PUNCT fuelectenerg-494 63 50 and and CCONJ fuelectenerg-494 63 51 x x X fuelectenerg-494 63 52 ′ ′ NOUN fuelectenerg-494 63 53 3 3 NUM fuelectenerg-494 63 54 is be AUX fuelectenerg-494 63 55 n n NUM fuelectenerg-494 63 56 - - PUNCT fuelectenerg-494 63 57 bit bit NOUN fuelectenerg-494 63 58 number number NOUN fuelectenerg-494 63 59 part part NOUN fuelectenerg-494 63 60 . . PUNCT fuelectenerg-494 64 1 if if SCONJ fuelectenerg-494 64 2 x′3 x′3 PROPN fuelectenerg-494 64 3 > > X fuelectenerg-494 64 4 0 0 PROPN fuelectenerg-494 64 5 , , PUNCT fuelectenerg-494 64 6 x3,n x3,n PROPN fuelectenerg-494 64 7 = = SYM fuelectenerg-494 64 8 0 0 PROPN fuelectenerg-494 65 1 and and CCONJ fuelectenerg-494 65 2 x x SYM fuelectenerg-494 65 3 ′ ′ NOUN fuelectenerg-494 65 4 3 3 NUM fuelectenerg-494 65 5 = = SYM fuelectenerg-494 65 6 x3−1 x3−1 PROPN fuelectenerg-494 65 7 , , PUNCT fuelectenerg-494 65 8 whereas whereas SCONJ fuelectenerg-494 65 9 for for ADP fuelectenerg-494 65 10 x′3 x′3 PROPN fuelectenerg-494 65 11 = = SYM fuelectenerg-494 65 12 0 0 NUM fuelectenerg-494 65 13 ; ; PUNCT fuelectenerg-494 65 14 x3,n x3,n PROPN fuelectenerg-494 65 15 = = SYM fuelectenerg-494 65 16 1 1 NUM fuelectenerg-494 65 17 , , PUNCT fuelectenerg-494 65 18 and and CCONJ fuelectenerg-494 65 19 x x SYM fuelectenerg-494 66 1 ′ ′ NOUN fuelectenerg-494 66 2 3 3 NUM fuelectenerg-494 66 3 = = SYM fuelectenerg-494 66 4 0 0 NUM fuelectenerg-494 66 5 . . PUNCT fuelectenerg-494 67 1 thus thus ADV fuelectenerg-494 67 2 , , PUNCT fuelectenerg-494 67 3 for for ADP fuelectenerg-494 67 4 the the DET fuelectenerg-494 67 5 diminished-1 diminished-1 NUM fuelectenerg-494 67 6 representation representation NOUN fuelectenerg-494 67 7 , , PUNCT fuelectenerg-494 67 8 the the DET fuelectenerg-494 67 9 residue residue NOUN fuelectenerg-494 67 10 of of ADP fuelectenerg-494 67 11 x x PART fuelectenerg-494 67 12 −1 −1 NOUN fuelectenerg-494 67 13 modulo modulo X fuelectenerg-494 67 14 2n 2n X fuelectenerg-494 67 15 +1 +1 PROPN fuelectenerg-494 67 16 instead instead ADV fuelectenerg-494 67 17 of of ADP fuelectenerg-494 67 18 the the DET fuelectenerg-494 67 19 residue residue NOUN fuelectenerg-494 67 20 x x X fuelectenerg-494 67 21 modulo modulo NOUN fuelectenerg-494 67 22 2n 2n X fuelectenerg-494 68 1 +1 +1 PROPN fuelectenerg-494 68 2 is be AUX fuelectenerg-494 68 3 used use VERB fuelectenerg-494 68 4 . . PUNCT fuelectenerg-494 69 1 the the DET fuelectenerg-494 69 2 results result NOUN fuelectenerg-494 69 3 of of ADP fuelectenerg-494 69 4 arithmetic arithmetic ADJ fuelectenerg-494 69 5 operations operation NOUN fuelectenerg-494 69 6 are be AUX fuelectenerg-494 69 7 derived derive VERB fuelectenerg-494 69 8 alternatively alternatively ADV fuelectenerg-494 69 9 when when SCONJ fuelectenerg-494 69 10 any any PRON fuelectenerg-494 69 11 of of ADP fuelectenerg-494 69 12 operands operand NOUN fuelectenerg-494 69 13 or or CCONJ fuelectenerg-494 69 14 the the DET fuelectenerg-494 69 15 result result NOUN fuelectenerg-494 69 16 is be AUX fuelectenerg-494 69 17 equal equal ADJ fuelectenerg-494 69 18 to to ADP fuelectenerg-494 69 19 zero zero NUM fuelectenerg-494 69 20 [ [ X fuelectenerg-494 69 21 17 17 NUM fuelectenerg-494 69 22 , , PUNCT fuelectenerg-494 69 23 18 18 NUM fuelectenerg-494 69 24 , , PUNCT fuelectenerg-494 69 25 19 19 NUM fuelectenerg-494 69 26 ] ] PUNCT fuelectenerg-494 69 27 . . PUNCT fuelectenerg-494 70 1 in in ADP fuelectenerg-494 70 2 this this DET fuelectenerg-494 70 3 way way NOUN fuelectenerg-494 70 4 , , PUNCT fuelectenerg-494 70 5 the the DET fuelectenerg-494 70 6 diminished-1 diminished-1 NUM fuelectenerg-494 70 7 representation representation NOUN fuelectenerg-494 70 8 can can AUX fuelectenerg-494 70 9 lead lead VERB fuelectenerg-494 70 10 to to ADP fuelectenerg-494 70 11 the the DET fuelectenerg-494 70 12 implementations implementation NOUN fuelectenerg-494 70 13 with with ADP fuelectenerg-494 70 14 delay delay NOUN fuelectenerg-494 70 15 and and CCONJ fuelectenerg-494 70 16 area area NOUN fuelectenerg-494 70 17 complexity complexity NOUN fuelectenerg-494 70 18 approaching approach VERB fuelectenerg-494 70 19 that that PRON fuelectenerg-494 70 20 of of ADP fuelectenerg-494 70 21 the the DET fuelectenerg-494 70 22 modulo modulo ADJ fuelectenerg-494 70 23 2n 2n NUM fuelectenerg-494 70 24 −1 −1 NOUN fuelectenerg-494 70 25 channel channel NOUN fuelectenerg-494 70 26 . . PUNCT fuelectenerg-494 71 1 this this DET fuelectenerg-494 71 2 paper paper NOUN fuelectenerg-494 71 3 presents present VERB fuelectenerg-494 71 4 a a DET fuelectenerg-494 71 5 binary binary NOUN fuelectenerg-494 71 6 - - PUNCT fuelectenerg-494 71 7 to to ADP fuelectenerg-494 71 8 - - PUNCT fuelectenerg-494 71 9 residues residue NOUN fuelectenerg-494 71 10 encoder encoder NOUN fuelectenerg-494 71 11 based base VERB fuelectenerg-494 71 12 on on ADP fuelectenerg-494 71 13 special special ADJ fuelectenerg-494 71 14 moduli modulus NOUN fuelectenerg-494 71 15 set set VERB fuelectenerg-494 71 16 { { PUNCT fuelectenerg-494 71 17 2n 2n NUM fuelectenerg-494 71 18 −1,2n,2n −1,2n,2n PROPN fuelectenerg-494 71 19 +1 +1 PROPN fuelectenerg-494 71 20 } } PUNCT fuelectenerg-494 71 21 with with ADP fuelectenerg-494 71 22 embedded embed VERB fuelectenerg-494 71 23 diminished-1 diminished-1 NUM fuelectenerg-494 71 24 encoded encode VERB fuelectenerg-494 71 25 channel channel NOUN fuelectenerg-494 71 26 , , PUNCT fuelectenerg-494 71 27 which which PRON fuelectenerg-494 71 28 unifies unify VERB fuelectenerg-494 71 29 the the DET fuelectenerg-494 71 30 encoders encoder NOUN fuelectenerg-494 71 31 architectures architecture NOUN fuelectenerg-494 71 32 presented present VERB fuelectenerg-494 71 33 in in ADP fuelectenerg-494 71 34 [ [ X fuelectenerg-494 71 35 15 15 NUM fuelectenerg-494 71 36 ] ] PUNCT fuelectenerg-494 71 37 . . PUNCT fuelectenerg-494 72 1 theoretical theoretical ADJ fuelectenerg-494 72 2 background background NOUN fuelectenerg-494 72 3 of of ADP fuelectenerg-494 72 4 forward forward ADJ fuelectenerg-494 72 5 converters converter NOUN fuelectenerg-494 72 6 for for ADP fuelectenerg-494 72 7 2n−1 2n−1 NUM fuelectenerg-494 72 8 and and CCONJ fuelectenerg-494 72 9 2n 2n NUM fuelectenerg-494 72 10 channel channel NOUN fuelectenerg-494 72 11 remains remain VERB fuelectenerg-494 72 12 the the DET fuelectenerg-494 72 13 same same ADJ fuelectenerg-494 72 14 as as ADP fuelectenerg-494 72 15 in in ADP fuelectenerg-494 72 16 [ [ X fuelectenerg-494 72 17 15 15 NUM fuelectenerg-494 72 18 ] ] PUNCT fuelectenerg-494 72 19 , , PUNCT fuelectenerg-494 72 20 while while SCONJ fuelectenerg-494 72 21 new new ADJ fuelectenerg-494 72 22 forward forward ADJ fuelectenerg-494 72 23 converter converter NOUN fuelectenerg-494 72 24 for for ADP fuelectenerg-494 72 25 2n 2n NUM fuelectenerg-494 72 26 + + CCONJ fuelectenerg-494 72 27 1 1 NUM fuelectenerg-494 72 28 channel channel NOUN fuelectenerg-494 72 29 with with ADP fuelectenerg-494 72 30 embedded embed VERB fuelectenerg-494 72 31 diminished-1 diminished-1 NUM fuelectenerg-494 72 32 encoded encode VERB fuelectenerg-494 72 33 channel channel NOUN fuelectenerg-494 72 34 has have AUX fuelectenerg-494 72 35 been be AUX fuelectenerg-494 72 36 developed develop VERB fuelectenerg-494 72 37 . . PUNCT fuelectenerg-494 73 1 the the DET fuelectenerg-494 73 2 standard standard NOUN fuelectenerg-494 73 3 and and CCONJ fuelectenerg-494 73 4 the the DET fuelectenerg-494 73 5 diminished-1 diminished-1 NUM fuelectenerg-494 73 6 forward forward ADJ fuelectenerg-494 73 7 converters converter NOUN fuelectenerg-494 73 8 for for ADP fuelectenerg-494 73 9 modulo modulo NOUN fuelectenerg-494 73 10 2n 2n ADJ fuelectenerg-494 73 11 + + CCONJ fuelectenerg-494 73 12 1 1 NUM fuelectenerg-494 73 13 channel channel NOUN fuelectenerg-494 73 14 are be AUX fuelectenerg-494 73 15 implemented implement VERB fuelectenerg-494 73 16 on on ADP fuelectenerg-494 73 17 the the DET fuelectenerg-494 73 18 same same ADJ fuelectenerg-494 73 19 hardware hardware NOUN fuelectenerg-494 73 20 . . PUNCT fuelectenerg-494 74 1 thus thus ADV fuelectenerg-494 74 2 , , PUNCT fuelectenerg-494 74 3 the the DET fuelectenerg-494 74 4 standard standard ADJ fuelectenerg-494 74 5 2n 2n NUM fuelectenerg-494 74 6 + + CCONJ fuelectenerg-494 74 7 1 1 NUM fuelectenerg-494 74 8 channel channel NOUN fuelectenerg-494 74 9 or or CCONJ fuelectenerg-494 74 10 the the DET fuelectenerg-494 74 11 diminished-1 diminished-1 NUM fuelectenerg-494 74 12 channel channel NOUN fuelectenerg-494 74 13 can can AUX fuelectenerg-494 74 14 be be AUX fuelectenerg-494 74 15 activated activate VERB fuelectenerg-494 74 16 simply simply ADV fuelectenerg-494 74 17 , , PUNCT fuelectenerg-494 74 18 by by ADP fuelectenerg-494 74 19 using use VERB fuelectenerg-494 74 20 the the DET fuelectenerg-494 74 21 single single ADJ fuelectenerg-494 74 22 switch switch NOUN fuelectenerg-494 74 23 . . PUNCT fuelectenerg-494 75 1 the the DET fuelectenerg-494 75 2 rest rest NOUN fuelectenerg-494 75 3 of of ADP fuelectenerg-494 75 4 the the DET fuelectenerg-494 75 5 paper paper NOUN fuelectenerg-494 75 6 is be AUX fuelectenerg-494 75 7 organized organize VERB fuelectenerg-494 75 8 as as SCONJ fuelectenerg-494 75 9 follows follow VERB fuelectenerg-494 75 10 . . PUNCT fuelectenerg-494 76 1 in in ADP fuelectenerg-494 76 2 section section NOUN fuelectenerg-494 76 3 2 2 NUM fuelectenerg-494 76 4 we we PRON fuelectenerg-494 76 5 introduce introduce VERB fuelectenerg-494 76 6 the the DET fuelectenerg-494 76 7 binary binary NOUN fuelectenerg-494 76 8 - - PUNCT fuelectenerg-494 76 9 to to ADP fuelectenerg-494 76 10 - - PUNCT fuelectenerg-494 76 11 residues residue NOUN fuelectenerg-494 76 12 memoryless memoryless NOUN fuelectenerg-494 76 13 encoder encoder NOUN fuelectenerg-494 76 14 for for ADP fuelectenerg-494 76 15 special special ADJ fuelectenerg-494 76 16 moduli modulus NOUN fuelectenerg-494 76 17 set set VERB fuelectenerg-494 76 18 based base VERB fuelectenerg-494 76 19 only only ADV fuelectenerg-494 76 20 on on ADP fuelectenerg-494 76 21 the the DET fuelectenerg-494 76 22 standard standard ADJ fuelectenerg-494 76 23 combinational combinational ADJ fuelectenerg-494 76 24 logic logic NOUN fuelectenerg-494 76 25 and and CCONJ fuelectenerg-494 76 26 a a DET fuelectenerg-494 76 27 novel novel ADJ fuelectenerg-494 76 28 design design NOUN fuelectenerg-494 76 29 of of ADP fuelectenerg-494 76 30 the the DET fuelectenerg-494 76 31 binary binary NOUN fuelectenerg-494 76 32 to to ADP fuelectenerg-494 76 33 residue residue NOUN fuelectenerg-494 76 34 encoder encoder NOUN fuelectenerg-494 76 35 with with ADP fuelectenerg-494 76 36 embedded embed VERB fuelectenerg-494 76 37 diminished-1 diminished-1 NUM fuelectenerg-494 76 38 channel channel NOUN fuelectenerg-494 76 39 . . PUNCT fuelectenerg-494 77 1 section section NOUN fuelectenerg-494 77 2 3 3 NUM fuelectenerg-494 77 3 presents present VERB fuelectenerg-494 77 4 the the DET fuelectenerg-494 77 5 hardware hardware NOUN fuelectenerg-494 77 6 implementation implementation NOUN fuelectenerg-494 77 7 and and CCONJ fuelectenerg-494 77 8 performance performance NOUN fuelectenerg-494 77 9 evaluation evaluation NOUN fuelectenerg-494 77 10 . . PUNCT fuelectenerg-494 78 1 our our PRON fuelectenerg-494 78 2 conclusion conclusion NOUN fuelectenerg-494 78 3 is be AUX fuelectenerg-494 78 4 drawn draw VERB fuelectenerg-494 78 5 in in ADP fuelectenerg-494 78 6 section section NOUN fuelectenerg-494 78 7 4 4 NUM fuelectenerg-494 78 8 . . NOUN fuelectenerg-494 78 9 2 2 NUM fuelectenerg-494 78 10 binary binary NOUN fuelectenerg-494 78 11 - - PUNCT fuelectenerg-494 78 12 to to ADP fuelectenerg-494 78 13 - - PUNCT fuelectenerg-494 78 14 residues residue NOUN fuelectenerg-494 78 15 encoder encoder NOUN fuelectenerg-494 78 16 in in ADP fuelectenerg-494 78 17 our our PRON fuelectenerg-494 78 18 approach approach NOUN fuelectenerg-494 78 19 , , PUNCT fuelectenerg-494 78 20 the the DET fuelectenerg-494 78 21 3n 3n NUM fuelectenerg-494 78 22 - - PUNCT fuelectenerg-494 78 23 bit bit NOUN fuelectenerg-494 78 24 input input NOUN fuelectenerg-494 78 25 is be AUX fuelectenerg-494 78 26 divided divide VERB fuelectenerg-494 78 27 into into ADP fuelectenerg-494 78 28 three three NUM fuelectenerg-494 78 29 n n CCONJ fuelectenerg-494 78 30 - - PUNCT fuelectenerg-494 78 31 bit bit NOUN fuelectenerg-494 78 32 sections section NOUN fuelectenerg-494 78 33 to to PART fuelectenerg-494 78 34 obtain obtain VERB fuelectenerg-494 78 35 the the DET fuelectenerg-494 78 36 corresponding corresponding ADJ fuelectenerg-494 78 37 three three NUM fuelectenerg-494 78 38 residue residue NOUN fuelectenerg-494 78 39 numbers number NOUN fuelectenerg-494 78 40 in in ADP fuelectenerg-494 78 41 parallel parallel NOUN fuelectenerg-494 78 42 . . PUNCT fuelectenerg-494 79 1 an an DET fuelectenerg-494 79 2 3n 3n NUM fuelectenerg-494 79 3 - - PUNCT fuelectenerg-494 79 4 bit bit NOUN fuelectenerg-494 79 5 integer integer NOUN fuelectenerg-494 79 6 in in ADP fuelectenerg-494 79 7 the the DET fuelectenerg-494 79 8 range range NOUN fuelectenerg-494 79 9 0 0 NUM fuelectenerg-494 79 10 ≤ ≤ NUM fuelectenerg-494 79 11 x x PUNCT fuelectenerg-494 79 12 ≤ ≤ ADJ fuelectenerg-494 80 1 m−1 m−1 PROPN fuelectenerg-494 80 2 can can AUX fuelectenerg-494 80 3 be be AUX fuelectenerg-494 80 4 represented represent VERB fuelectenerg-494 80 5 in in ADP fuelectenerg-494 80 6 power power NOUN fuelectenerg-494 80 7 - - PUNCT fuelectenerg-494 80 8 of of ADP fuelectenerg-494 80 9 - - PUNCT fuelectenerg-494 80 10 two two NUM fuelectenerg-494 80 11 notation notation NOUN fuelectenerg-494 80 12 as as ADP fuelectenerg-494 80 13 [ [ X fuelectenerg-494 80 14 20 20 NUM fuelectenerg-494 80 15 , , PUNCT fuelectenerg-494 80 16 21 21 NUM fuelectenerg-494 80 17 ] ] PUNCT fuelectenerg-494 80 18 : : PUNCT fuelectenerg-494 80 19 x x SYM fuelectenerg-494 80 20 = = SYM fuelectenerg-494 80 21 3n−1 3n−1 NUM fuelectenerg-494 80 22 ∑ ∑ PUNCT fuelectenerg-494 80 23 i=0 i=0 PROPN fuelectenerg-494 80 24 bi2i bi2i PROPN fuelectenerg-494 81 1 = = SYM fuelectenerg-494 81 2 n2 n2 PROPN fuelectenerg-494 81 3 ×22n ×22n PROPN fuelectenerg-494 81 4 + + PROPN fuelectenerg-494 81 5 n1 n1 ADJ fuelectenerg-494 81 6 ×2n ×2n NOUN fuelectenerg-494 81 7 + + NOUN fuelectenerg-494 81 8 n0 n0 ADJ fuelectenerg-494 81 9 , , PUNCT fuelectenerg-494 81 10 ( ( PUNCT fuelectenerg-494 81 11 1 1 X fuelectenerg-494 81 12 ) ) PUNCT fuelectenerg-494 81 13 where where SCONJ fuelectenerg-494 81 14 n0 n0 X fuelectenerg-494 81 15 = = SYM fuelectenerg-494 81 16 n−1 n−1 PROPN fuelectenerg-494 81 17 ∑ ∑ PROPN fuelectenerg-494 81 18 i=0 i=0 PROPN fuelectenerg-494 81 19 bi2i bi2i PROPN fuelectenerg-494 81 20 , , PUNCT fuelectenerg-494 81 21 n1 n1 NOUN fuelectenerg-494 81 22 = = SYM fuelectenerg-494 81 23 2n−1 2n−1 NUM fuelectenerg-494 81 24 ∑ ∑ PUNCT fuelectenerg-494 81 25 i i PROPN fuelectenerg-494 81 26 = = NOUN fuelectenerg-494 81 27 n n NOUN fuelectenerg-494 81 28 bi2i−n bi2i−n NOUN fuelectenerg-494 81 29 and and CCONJ fuelectenerg-494 81 30 n2 n2 ADJ fuelectenerg-494 81 31 = = PROPN fuelectenerg-494 81 32 3n−1 3n−1 NUM fuelectenerg-494 81 33 ∑ ∑ PROPN fuelectenerg-494 81 34 i=2n i=2n PROPN fuelectenerg-494 81 35 bi2i−2n bi2i−2n NOUN fuelectenerg-494 81 36 . . PUNCT fuelectenerg-494 82 1 ( ( PUNCT fuelectenerg-494 82 2 2 2 X fuelectenerg-494 82 3 ) ) PUNCT fuelectenerg-494 82 4 in in ADP fuelectenerg-494 82 5 order order NOUN fuelectenerg-494 82 6 to to PART fuelectenerg-494 82 7 obtain obtain VERB fuelectenerg-494 82 8 the the DET fuelectenerg-494 82 9 rns rn NOUN fuelectenerg-494 82 10 representation representation NOUN fuelectenerg-494 82 11 of of ADP fuelectenerg-494 82 12 the the DET fuelectenerg-494 82 13 integer integer NOUN fuelectenerg-494 82 14 x x PUNCT fuelectenerg-494 82 15 , , PUNCT fuelectenerg-494 82 16 partitioned partition VERB fuelectenerg-494 82 17 into into ADP fuelectenerg-494 82 18 three three NUM fuelectenerg-494 82 19 n n CCONJ fuelectenerg-494 82 20 - - PUNCT fuelectenerg-494 82 21 bit bit NOUN fuelectenerg-494 82 22 parts part NOUN fuelectenerg-494 82 23 n0 n0 NOUN fuelectenerg-494 82 24 , , PUNCT fuelectenerg-494 82 25 n1 n1 PROPN fuelectenerg-494 82 26 and and CCONJ fuelectenerg-494 82 27 n2 n2 ADJ fuelectenerg-494 82 28 , , PUNCT fuelectenerg-494 82 29 three three NUM fuelectenerg-494 82 30 residue residue NOUN fuelectenerg-494 82 31 generators generator NOUN fuelectenerg-494 82 32 are be AUX fuelectenerg-494 82 33 required require VERB fuelectenerg-494 82 34 , , PUNCT fuelectenerg-494 82 35 one one NUM fuelectenerg-494 82 36 for for ADP fuelectenerg-494 82 37 each each DET fuelectenerg-494 82 38 channel channel NOUN fuelectenerg-494 82 39 . . PUNCT fuelectenerg-494 83 1 104 104 NUM fuelectenerg-494 83 2 i. i. NOUN fuelectenerg-494 83 3 krstić krstić PROPN fuelectenerg-494 83 4 , , PUNCT fuelectenerg-494 83 5 n. n. PROPN fuelectenerg-494 83 6 stamenković stamenković PROPN fuelectenerg-494 83 7 , , PUNCT fuelectenerg-494 83 8 v. v. ADP fuelectenerg-494 83 9 stojanović stojanović PROPN fuelectenerg-494 83 10 binary binary PROPN fuelectenerg-494 83 11 to to ADP fuelectenerg-494 83 12 rns rn NOUN fuelectenerg-494 83 13 encoder encoder NOUN fuelectenerg-494 83 14 with with ADP fuelectenerg-494 83 15 diminished-1 diminished-1 NUM fuelectenerg-494 83 16 encoded encode VERB fuelectenerg-494 83 17 channel channel NOUN fuelectenerg-494 83 18 105 105 NUM fuelectenerg-494 83 19 4 4 NUM fuelectenerg-494 83 20 i. i. PROPN fuelectenerg-494 83 21 krstić krstić PROPN fuelectenerg-494 83 22 , , PUNCT fuelectenerg-494 83 23 n. n. PROPN fuelectenerg-494 83 24 stamenković stamenković PROPN fuelectenerg-494 83 25 and and CCONJ fuelectenerg-494 83 26 v. v. ADP fuelectenerg-494 83 27 stojanović stojanović ADJ fuelectenerg-494 83 28 : : PUNCT fuelectenerg-494 83 29 2.1 2.1 NUM fuelectenerg-494 83 30 forward forward ADJ fuelectenerg-494 83 31 conversion conversion NOUN fuelectenerg-494 83 32 for for ADP fuelectenerg-494 83 33 modulo modulo NOUN fuelectenerg-494 83 34 2n 2n NUM fuelectenerg-494 83 35 and and CCONJ fuelectenerg-494 83 36 modulo modulo PROPN fuelectenerg-494 83 37 2n 2n NUM fuelectenerg-494 83 38 −1 −1 NOUN fuelectenerg-494 83 39 channel channel PROPN fuelectenerg-494 83 40 forward forward ADJ fuelectenerg-494 83 41 conversion conversion NOUN fuelectenerg-494 83 42 for for ADP fuelectenerg-494 83 43 modulo modulo NOUN fuelectenerg-494 83 44 2n 2n ADJ fuelectenerg-494 83 45 channel channel NOUN fuelectenerg-494 83 46 is be AUX fuelectenerg-494 83 47 quite quite ADV fuelectenerg-494 83 48 simple simple ADJ fuelectenerg-494 83 49 , , PUNCT fuelectenerg-494 83 50 i.e. i.e. X fuelectenerg-494 83 51 the the DET fuelectenerg-494 83 52 residue residue NOUN fuelectenerg-494 83 53 x2 x2 PRON fuelectenerg-494 83 54 can can AUX fuelectenerg-494 83 55 be be AUX fuelectenerg-494 83 56 obtained obtain VERB fuelectenerg-494 83 57 by by ADP fuelectenerg-494 83 58 truncation truncation NOUN fuelectenerg-494 83 59 of of ADP fuelectenerg-494 83 60 x x PRON fuelectenerg-494 83 61 : : PUNCT fuelectenerg-494 83 62 x2 x2 INTJ fuelectenerg-494 83 63 = = PUNCT fuelectenerg-494 83 64 ⟨x⟩2n ⟨x⟩2n NOUN fuelectenerg-494 83 65 = = SYM fuelectenerg-494 83 66 bn−1bn−2 bn−1bn−2 SYM fuelectenerg-494 83 67 · · PUNCT fuelectenerg-494 83 68 · · PUNCT fuelectenerg-494 83 69 · · PUNCT fuelectenerg-494 83 70 b0 b0 NOUN fuelectenerg-494 83 71 . . PUNCT fuelectenerg-494 84 1 ( ( PUNCT fuelectenerg-494 84 2 3 3 X fuelectenerg-494 84 3 ) ) PUNCT fuelectenerg-494 84 4 the the DET fuelectenerg-494 84 5 calculation calculation NOUN fuelectenerg-494 84 6 of of ADP fuelectenerg-494 84 7 x1 x1 PROPN fuelectenerg-494 84 8 can can AUX fuelectenerg-494 84 9 be be AUX fuelectenerg-494 84 10 performed perform VERB fuelectenerg-494 84 11 as as ADP fuelectenerg-494 84 12 a a DET fuelectenerg-494 84 13 sequence sequence NOUN fuelectenerg-494 84 14 of of ADP fuelectenerg-494 84 15 additions addition NOUN fuelectenerg-494 84 16 [ [ X fuelectenerg-494 84 17 15 15 NUM fuelectenerg-494 84 18 ] ] X fuelectenerg-494 84 19 : : PUNCT fuelectenerg-494 85 1 x1 x1 PROPN fuelectenerg-494 85 2 = = PUNCT fuelectenerg-494 86 1 ⟨n2 ⟨n2 PROPN fuelectenerg-494 86 2 + + ADJ fuelectenerg-494 86 3 n1 n1 PROPN fuelectenerg-494 86 4 + + NOUN fuelectenerg-494 86 5 n0⟩2n−1 n0⟩2n−1 PROPN fuelectenerg-494 86 6 , , PUNCT fuelectenerg-494 86 7 ( ( PUNCT fuelectenerg-494 86 8 4 4 X fuelectenerg-494 86 9 ) ) PUNCT fuelectenerg-494 86 10 which which PRON fuelectenerg-494 86 11 can can AUX fuelectenerg-494 86 12 be be AUX fuelectenerg-494 86 13 performed perform VERB fuelectenerg-494 86 14 by by ADP fuelectenerg-494 86 15 csa csa PROPN fuelectenerg-494 86 16 with with ADP fuelectenerg-494 86 17 eac eac PROPN fuelectenerg-494 86 18 ( ( PUNCT fuelectenerg-494 86 19 carry carry VERB fuelectenerg-494 86 20 save save NOUN fuelectenerg-494 86 21 adder adder NOUN fuelectenerg-494 86 22 with with ADP fuelectenerg-494 86 23 end end NOUN fuelectenerg-494 86 24 around around ADP fuelectenerg-494 86 25 carry carry NOUN fuelectenerg-494 86 26 ) ) PUNCT fuelectenerg-494 86 27 on on ADP fuelectenerg-494 86 28 whose whose DET fuelectenerg-494 86 29 inputs input NOUN fuelectenerg-494 86 30 three three NUM fuelectenerg-494 86 31 n n CCONJ fuelectenerg-494 86 32 - - PUNCT fuelectenerg-494 86 33 bit bit NOUN fuelectenerg-494 86 34 operands operand NOUN fuelectenerg-494 86 35 ( ( PUNCT fuelectenerg-494 86 36 n2 n2 ADJ fuelectenerg-494 86 37 , , PUNCT fuelectenerg-494 86 38 n1 n1 PROPN fuelectenerg-494 86 39 , , PUNCT fuelectenerg-494 86 40 n0 n0 NUM fuelectenerg-494 86 41 ) ) PUNCT fuelectenerg-494 86 42 are be AUX fuelectenerg-494 86 43 connected connect VERB fuelectenerg-494 86 44 , , PUNCT fuelectenerg-494 86 45 followed follow VERB fuelectenerg-494 86 46 by by ADP fuelectenerg-494 86 47 the the DET fuelectenerg-494 86 48 cpa cpa NOUN fuelectenerg-494 86 49 with with ADP fuelectenerg-494 86 50 eaic eaic ADJ fuelectenerg-494 86 51 ( ( PUNCT fuelectenerg-494 86 52 carry carry VERB fuelectenerg-494 86 53 propagate propagate ADJ fuelectenerg-494 86 54 adder adder NOUN fuelectenerg-494 86 55 with with ADP fuelectenerg-494 86 56 end end NOUN fuelectenerg-494 86 57 around around ADP fuelectenerg-494 86 58 inverted invert VERB fuelectenerg-494 86 59 carry carry NOUN fuelectenerg-494 86 60 ) ) PUNCT fuelectenerg-494 86 61 and and CCONJ fuelectenerg-494 86 62 decrementer decrementer NOUN fuelectenerg-494 86 63 . . PUNCT fuelectenerg-494 87 1 slight slight ADJ fuelectenerg-494 87 2 modifications modification NOUN fuelectenerg-494 87 3 to to ADP fuelectenerg-494 87 4 the the DET fuelectenerg-494 87 5 architecture architecture NOUN fuelectenerg-494 87 6 of of ADP fuelectenerg-494 87 7 the the DET fuelectenerg-494 87 8 modulo modulo ADJ fuelectenerg-494 87 9 2n 2n NUM fuelectenerg-494 87 10 −1 −1 NOUN fuelectenerg-494 87 11 residue residue NOUN fuelectenerg-494 87 12 generator generator NOUN fuelectenerg-494 87 13 presented present VERB fuelectenerg-494 87 14 in in ADP fuelectenerg-494 87 15 [ [ X fuelectenerg-494 87 16 15 15 NUM fuelectenerg-494 87 17 ] ] PUNCT fuelectenerg-494 87 18 are be AUX fuelectenerg-494 87 19 introduced introduce VERB fuelectenerg-494 87 20 : : PUNCT fuelectenerg-494 87 21 lsb lsb PROPN fuelectenerg-494 87 22 full full ADJ fuelectenerg-494 87 23 - - PUNCT fuelectenerg-494 87 24 adder adder NOUN fuelectenerg-494 87 25 of of ADP fuelectenerg-494 87 26 cpa cpa PROPN fuelectenerg-494 87 27 with with ADP fuelectenerg-494 87 28 eaic eaic ADJ fuelectenerg-494 87 29 ( ( PUNCT fuelectenerg-494 87 30 end end NOUN fuelectenerg-494 87 31 - - PUNCT fuelectenerg-494 87 32 around around ADP fuelectenerg-494 87 33 inverted invert VERB fuelectenerg-494 87 34 carry carry NOUN fuelectenerg-494 87 35 ) ) PUNCT fuelectenerg-494 87 36 has have AUX fuelectenerg-494 87 37 been be AUX fuelectenerg-494 87 38 replaced replace VERB fuelectenerg-494 87 39 with with ADP fuelectenerg-494 87 40 ha ha INTJ fuelectenerg-494 87 41 ( ( PUNCT fuelectenerg-494 87 42 full full ADJ fuelectenerg-494 87 43 - - PUNCT fuelectenerg-494 87 44 adder adder NOUN fuelectenerg-494 87 45 with with ADP fuelectenerg-494 87 46 one one NUM fuelectenerg-494 87 47 input input NOUN fuelectenerg-494 87 48 driven drive VERB fuelectenerg-494 87 49 by by ADP fuelectenerg-494 87 50 the the DET fuelectenerg-494 87 51 logical logical ADJ fuelectenerg-494 87 52 one one NUM fuelectenerg-494 87 53 ) ) PUNCT fuelectenerg-494 87 54 , , PUNCT fuelectenerg-494 87 55 while while SCONJ fuelectenerg-494 87 56 msb msb PROPN fuelectenerg-494 87 57 half half ADJ fuelectenerg-494 87 58 - - PUNCT fuelectenerg-494 87 59 subtractor subtractor NOUN fuelectenerg-494 87 60 of of ADP fuelectenerg-494 87 61 decrementer decrementer NOUN fuelectenerg-494 87 62 has have AUX fuelectenerg-494 87 63 been be AUX fuelectenerg-494 87 64 replaced replace VERB fuelectenerg-494 87 65 with with ADP fuelectenerg-494 87 66 xor xor PROPN fuelectenerg-494 87 67 gate gate PROPN fuelectenerg-494 87 68 , , PUNCT fuelectenerg-494 87 69 fig fig NOUN fuelectenerg-494 87 70 . . PUNCT fuelectenerg-494 88 1 1 1 X fuelectenerg-494 88 2 . . X fuelectenerg-494 88 3 ha ha PROPN fuelectenerg-494 88 4 has have VERB fuelectenerg-494 88 5 the the DET fuelectenerg-494 88 6 same same ADJ fuelectenerg-494 88 7 complexity complexity NOUN fuelectenerg-494 88 8 as as ADP fuelectenerg-494 88 9 the the DET fuelectenerg-494 88 10 standard standard ADJ fuelectenerg-494 88 11 half half ADJ fuelectenerg-494 88 12 - - PUNCT fuelectenerg-494 88 13 adder adder NOUN fuelectenerg-494 88 14 except except SCONJ fuelectenerg-494 88 15 for for ADP fuelectenerg-494 88 16 an an DET fuelectenerg-494 88 17 extra extra ADJ fuelectenerg-494 88 18 inverter inverter NOUN fuelectenerg-494 88 19 , , PUNCT fuelectenerg-494 88 20 whose whose DET fuelectenerg-494 88 21 delay delay NOUN fuelectenerg-494 88 22 and and CCONJ fuelectenerg-494 88 23 area area NOUN fuelectenerg-494 88 24 consumption consumption NOUN fuelectenerg-494 88 25 can can AUX fuelectenerg-494 88 26 be be AUX fuelectenerg-494 88 27 ignored ignore VERB fuelectenerg-494 88 28 if if SCONJ fuelectenerg-494 88 29 using use VERB fuelectenerg-494 88 30 the the DET fuelectenerg-494 88 31 unit unit NOUN fuelectenerg-494 88 32 - - PUNCT fuelectenerg-494 88 33 gate gate NOUN fuelectenerg-494 88 34 model model NOUN fuelectenerg-494 88 35 as as ADP fuelectenerg-494 88 36 a a DET fuelectenerg-494 88 37 means means NOUN fuelectenerg-494 88 38 of of ADP fuelectenerg-494 88 39 performance performance NOUN fuelectenerg-494 88 40 evaluation evaluation NOUN fuelectenerg-494 88 41 . . PUNCT fuelectenerg-494 89 1 the the DET fuelectenerg-494 89 2 critical critical ADJ fuelectenerg-494 89 3 path path NOUN fuelectenerg-494 89 4 of of ADP fuelectenerg-494 89 5 the the DET fuelectenerg-494 89 6 binary binary NOUN fuelectenerg-494 89 7 - - PUNCT fuelectenerg-494 89 8 to to ADP fuelectenerg-494 89 9 - - PUNCT fuelectenerg-494 89 10 modulo modulo NOUN fuelectenerg-494 89 11 2n 2n NUM fuelectenerg-494 89 12 − − NOUN fuelectenerg-494 89 13 1 1 NUM fuelectenerg-494 89 14 converter converter NOUN fuelectenerg-494 89 15 is be AUX fuelectenerg-494 89 16 depicted depict VERB fuelectenerg-494 89 17 by by ADP fuelectenerg-494 89 18 a a DET fuelectenerg-494 89 19 dashed dash VERB fuelectenerg-494 89 20 line line NOUN fuelectenerg-494 89 21 . . PUNCT fuelectenerg-494 90 1 fa fa INTJ fuelectenerg-494 91 1 fa fa INTJ fuelectenerg-494 91 2 fa fa INTJ fuelectenerg-494 91 3 fa fa INTJ fuelectenerg-494 91 4 fa fa INTJ fuelectenerg-494 91 5 fa fa INTJ fuelectenerg-494 91 6 fa fa INTJ fuelectenerg-494 91 7 fa fa INTJ fuelectenerg-494 91 8 fa fa INTJ fuelectenerg-494 91 9 fa fa INTJ fuelectenerg-494 91 10 hafa hafa PROPN fuelectenerg-494 91 11 hs hs PROPN fuelectenerg-494 91 12 hs hs PROPN fuelectenerg-494 91 13 hs hs PROPN fuelectenerg-494 91 14 hs hs PROPN fuelectenerg-494 91 15 hs hs PROPN fuelectenerg-494 91 16 n2,5 n2,5 PROPN fuelectenerg-494 91 17 n2,4 n2,4 PROPN fuelectenerg-494 91 18 n2,3 n2,3 ADJ fuelectenerg-494 91 19 n2,2 n2,2 PROPN fuelectenerg-494 91 20 n2,1 n2,1 NOUN fuelectenerg-494 91 21 n2,0 n2,0 VERB fuelectenerg-494 91 22 n1,5 n1,5 CCONJ fuelectenerg-494 91 23 n1,4 n1,4 PROPN fuelectenerg-494 91 24 n1,3 n1,3 PROPN fuelectenerg-494 91 25 n1,2 n1,2 PROPN fuelectenerg-494 91 26 n1,1 n1,1 PROPN fuelectenerg-494 91 27 n1,0 n1,0 PROPN fuelectenerg-494 91 28 n0,5 n0,5 PROPN fuelectenerg-494 92 1 n0,4 n0,4 PROPN fuelectenerg-494 92 2 n0,3 n0,3 PRON fuelectenerg-494 92 3 n0,2 n0,2 ADJ fuelectenerg-494 92 4 n0,1 n0,1 ADV fuelectenerg-494 92 5 n0,0 n0,0 PROPN fuelectenerg-494 92 6 cout cout VERB fuelectenerg-494 93 1 x1,5 x1,5 PROPN fuelectenerg-494 93 2 x1,4 x1,4 PROPN fuelectenerg-494 93 3 x1,3 x1,3 PROPN fuelectenerg-494 94 1 x1,2 x1,2 PROPN fuelectenerg-494 94 2 x1,1 x1,1 PROPN fuelectenerg-494 94 3 x1,0 x1,0 PROPN fuelectenerg-494 94 4 s5 s5 PROPN fuelectenerg-494 94 5 s4 s4 PROPN fuelectenerg-494 94 6 s3 s3 PROPN fuelectenerg-494 94 7 s2 s2 NOUN fuelectenerg-494 94 8 s1 s1 NOUN fuelectenerg-494 94 9 s0c5 s0c5 ADP fuelectenerg-494 94 10 c4 c4 NOUN fuelectenerg-494 94 11 c3 c3 PROPN fuelectenerg-494 94 12 c2 c2 PROPN fuelectenerg-494 94 13 c1 c1 PROPN fuelectenerg-494 94 14 c0 c0 PROPN fuelectenerg-494 94 15 fig fig PROPN fuelectenerg-494 94 16 . . PUNCT fuelectenerg-494 95 1 1 1 X fuelectenerg-494 95 2 . . X fuelectenerg-494 95 3 the the DET fuelectenerg-494 95 4 architecture architecture NOUN fuelectenerg-494 95 5 of of ADP fuelectenerg-494 95 6 the the DET fuelectenerg-494 95 7 modulo modulo NOUN fuelectenerg-494 95 8 ( ( PUNCT fuelectenerg-494 95 9 26 26 NUM fuelectenerg-494 95 10 −1 −1 NOUN fuelectenerg-494 95 11 ) ) PUNCT fuelectenerg-494 95 12 residue residue NOUN fuelectenerg-494 95 13 generator generator NOUN fuelectenerg-494 95 14 . . PUNCT fuelectenerg-494 96 1 propagation propagation NOUN fuelectenerg-494 96 2 delay delay NOUN fuelectenerg-494 96 3 of of ADP fuelectenerg-494 96 4 binary binary NOUN fuelectenerg-494 96 5 to to AUX fuelectenerg-494 96 6 modulo modulo VERB fuelectenerg-494 96 7 2n 2n NUM fuelectenerg-494 96 8 −1 −1 NOUN fuelectenerg-494 96 9 converter converter NOUN fuelectenerg-494 96 10 , , PUNCT fuelectenerg-494 96 11 according accord VERB fuelectenerg-494 96 12 to to ADP fuelectenerg-494 96 13 the the DET fuelectenerg-494 96 14 unitgate unitgate ADJ fuelectenerg-494 96 15 model model NOUN fuelectenerg-494 96 16 , , PUNCT fuelectenerg-494 96 17 is be AUX fuelectenerg-494 96 18 t1 t1 NOUN fuelectenerg-494 96 19 = = PUNCT fuelectenerg-494 96 20 3n+ 3n+ NUM fuelectenerg-494 96 21 4 4 NUM fuelectenerg-494 96 22 . . PUNCT fuelectenerg-494 97 1 the the DET fuelectenerg-494 97 2 area area NOUN fuelectenerg-494 97 3 cost cost NOUN fuelectenerg-494 97 4 of of ADP fuelectenerg-494 97 5 binary binary NOUN fuelectenerg-494 97 6 to to AUX fuelectenerg-494 97 7 modulo modulo VERB fuelectenerg-494 97 8 2n 2n NUM fuelectenerg-494 97 9 − − ADP fuelectenerg-494 97 10 1 1 NUM fuelectenerg-494 97 11 converter converter NOUN fuelectenerg-494 97 12 is be AUX fuelectenerg-494 97 13 104 104 NUM fuelectenerg-494 97 14 i. i. NOUN fuelectenerg-494 97 15 krstić krstić PROPN fuelectenerg-494 97 16 , , PUNCT fuelectenerg-494 97 17 n. n. PROPN fuelectenerg-494 97 18 stamenković stamenković PROPN fuelectenerg-494 97 19 , , PUNCT fuelectenerg-494 97 20 v. v. ADP fuelectenerg-494 97 21 stojanović stojanović PROPN fuelectenerg-494 97 22 binary binary PROPN fuelectenerg-494 97 23 to to ADP fuelectenerg-494 97 24 rns rn NOUN fuelectenerg-494 97 25 encoder encoder NOUN fuelectenerg-494 97 26 with with ADP fuelectenerg-494 97 27 diminished-1 diminished-1 NUM fuelectenerg-494 97 28 encoded encode VERB fuelectenerg-494 97 29 channel channel NOUN fuelectenerg-494 97 30 105 105 NUM fuelectenerg-494 97 31 binary binary NOUN fuelectenerg-494 97 32 to to ADP fuelectenerg-494 97 33 rns rn NOUN fuelectenerg-494 97 34 encoder encoder NOUN fuelectenerg-494 97 35 with with ADP fuelectenerg-494 97 36 diminished-1 diminished-1 NUM fuelectenerg-494 97 37 encoded encode VERB fuelectenerg-494 97 38 channel channel NOUN fuelectenerg-494 97 39 5 5 NUM fuelectenerg-494 97 40 a1 a1 NOUN fuelectenerg-494 97 41 = = SYM fuelectenerg-494 97 42 17n−5 17n−5 PROPN fuelectenerg-494 97 43 . . PUNCT fuelectenerg-494 98 1 2.2 2.2 NUM fuelectenerg-494 98 2 forward forward ADJ fuelectenerg-494 98 3 conversion conversion NOUN fuelectenerg-494 98 4 for for ADP fuelectenerg-494 98 5 modulo modulo NOUN fuelectenerg-494 98 6 2n 2n ADJ fuelectenerg-494 98 7 +1 +1 PROPN fuelectenerg-494 98 8 channel channel NOUN fuelectenerg-494 98 9 modulo modulo NOUN fuelectenerg-494 98 10 2n 2n ADJ fuelectenerg-494 98 11 +1 +1 ADJ fuelectenerg-494 98 12 residue residue NOUN fuelectenerg-494 98 13 and and CCONJ fuelectenerg-494 98 14 modulo modulo NOUN fuelectenerg-494 98 15 2n 2n ADJ fuelectenerg-494 98 16 +1 +1 ADJ fuelectenerg-494 98 17 residue residue NOUN fuelectenerg-494 98 18 in in ADP fuelectenerg-494 98 19 diminished-1 diminished-1 NUM fuelectenerg-494 98 20 number number NOUN fuelectenerg-494 98 21 system system NOUN fuelectenerg-494 98 22 representation representation NOUN fuelectenerg-494 98 23 can can AUX fuelectenerg-494 98 24 be be AUX fuelectenerg-494 98 25 calculated calculate VERB fuelectenerg-494 98 26 by by ADP fuelectenerg-494 98 27 equations equation NOUN fuelectenerg-494 98 28 derived derive VERB fuelectenerg-494 98 29 in in ADP fuelectenerg-494 98 30 [ [ X fuelectenerg-494 98 31 15 15 NUM fuelectenerg-494 98 32 ] ] SYM fuelectenerg-494 98 33 : : PUNCT fuelectenerg-494 98 34 x3 x3 PROPN fuelectenerg-494 98 35 = = SYM fuelectenerg-494 98 36 ⟨s+c+1⟩2n+1 ⟨s+c+1⟩2n+1 NOUN fuelectenerg-494 98 37 , , PUNCT fuelectenerg-494 98 38 ( ( PUNCT fuelectenerg-494 98 39 5 5 NUM fuelectenerg-494 98 40 ) ) PUNCT fuelectenerg-494 98 41 x′3 x′3 PUNCT fuelectenerg-494 99 1 = = PUNCT fuelectenerg-494 99 2 ⟨s+c⟩2n+1 ⟨s+c⟩2n+1 PROPN fuelectenerg-494 99 3 , , PUNCT fuelectenerg-494 99 4 ( ( PUNCT fuelectenerg-494 99 5 6 6 NUM fuelectenerg-494 99 6 ) ) PUNCT fuelectenerg-494 99 7 where where SCONJ fuelectenerg-494 99 8 s s PRON fuelectenerg-494 99 9 and and CCONJ fuelectenerg-494 99 10 c c PROPN fuelectenerg-494 99 11 are be AUX fuelectenerg-494 99 12 n n PRON fuelectenerg-494 99 13 - - PUNCT fuelectenerg-494 99 14 bit bit NOUN fuelectenerg-494 99 15 partial partial ADJ fuelectenerg-494 99 16 sum sum NOUN fuelectenerg-494 99 17 and and CCONJ fuelectenerg-494 99 18 carry carry VERB fuelectenerg-494 99 19 vectors vector NOUN fuelectenerg-494 99 20 generated generate VERB fuelectenerg-494 99 21 by by ADP fuelectenerg-494 99 22 modulo modulo PROPN fuelectenerg-494 99 23 2n 2n X fuelectenerg-494 99 24 +1 +1 PROPN fuelectenerg-494 99 25 carry carry VERB fuelectenerg-494 99 26 save save NOUN fuelectenerg-494 99 27 adder adder NOUN fuelectenerg-494 99 28 , , PUNCT fuelectenerg-494 99 29 whose whose DET fuelectenerg-494 99 30 inputs input NOUN fuelectenerg-494 99 31 are be AUX fuelectenerg-494 99 32 driven drive VERB fuelectenerg-494 99 33 by by ADP fuelectenerg-494 99 34 n2 n2 ADJ fuelectenerg-494 99 35 , , PUNCT fuelectenerg-494 99 36 n1 n1 PROPN fuelectenerg-494 99 37 and and CCONJ fuelectenerg-494 99 38 n0 n0 NUM fuelectenerg-494 99 39 , , PUNCT fuelectenerg-494 99 40 where where SCONJ fuelectenerg-494 99 41 n1 n1 NOUN fuelectenerg-494 99 42 = = SYM fuelectenerg-494 99 43 2n−1−n1 2n−1−n1 NUM fuelectenerg-494 99 44 is be AUX fuelectenerg-494 99 45 the the DET fuelectenerg-494 99 46 one one NOUN fuelectenerg-494 99 47 ’s ’s PART fuelectenerg-494 99 48 complement complement NOUN fuelectenerg-494 99 49 of of ADP fuelectenerg-494 99 50 operand operand NOUN fuelectenerg-494 99 51 n1 n1 PROPN fuelectenerg-494 100 1 [ [ X fuelectenerg-494 100 2 22 22 NUM fuelectenerg-494 100 3 ] ] PUNCT fuelectenerg-494 100 4 . . PUNCT fuelectenerg-494 101 1 by by ADP fuelectenerg-494 101 2 introduction introduction NOUN fuelectenerg-494 101 3 of of ADP fuelectenerg-494 101 4 a a DET fuelectenerg-494 101 5 control control NOUN fuelectenerg-494 101 6 bit bit NOUN fuelectenerg-494 101 7 d d X fuelectenerg-494 101 8 d d NOUN fuelectenerg-494 101 9 = = PUNCT fuelectenerg-494 101 10 { { PUNCT fuelectenerg-494 101 11 1 1 NUM fuelectenerg-494 101 12 , , PUNCT fuelectenerg-494 101 13 if if SCONJ fuelectenerg-494 101 14 calculating calculate VERB fuelectenerg-494 101 15 x3 x3 PROPN fuelectenerg-494 101 16 0 0 NUM fuelectenerg-494 101 17 , , PUNCT fuelectenerg-494 101 18 if if SCONJ fuelectenerg-494 101 19 calculating calculate VERB fuelectenerg-494 101 20 x′3 x′3 X fuelectenerg-494 101 21 , , PUNCT fuelectenerg-494 101 22 ( ( PUNCT fuelectenerg-494 101 23 7 7 X fuelectenerg-494 101 24 ) ) PUNCT fuelectenerg-494 101 25 equations equation NOUN fuelectenerg-494 101 26 ( ( PUNCT fuelectenerg-494 101 27 5 5 NUM fuelectenerg-494 101 28 ) ) PUNCT fuelectenerg-494 101 29 and and CCONJ fuelectenerg-494 101 30 ( ( PUNCT fuelectenerg-494 101 31 6 6 NUM fuelectenerg-494 101 32 ) ) PUNCT fuelectenerg-494 101 33 are be AUX fuelectenerg-494 101 34 combined combine VERB fuelectenerg-494 101 35 to to PART fuelectenerg-494 101 36 form form VERB fuelectenerg-494 101 37 x′′3 x′′3 PUNCT fuelectenerg-494 101 38 = = PUNCT fuelectenerg-494 101 39 ⟨s+c+d⟩2n+1 ⟨s+c+d⟩2n+1 ADJ fuelectenerg-494 101 40 . . PUNCT fuelectenerg-494 102 1 ( ( PUNCT fuelectenerg-494 102 2 8) 8) NUM fuelectenerg-494 102 3 the the DET fuelectenerg-494 102 4 modulo modulo NOUN fuelectenerg-494 102 5 2n 2n NUM fuelectenerg-494 103 1 + + CCONJ fuelectenerg-494 103 2 1 1 NUM fuelectenerg-494 103 3 addition addition NOUN fuelectenerg-494 103 4 of of ADP fuelectenerg-494 103 5 two two NUM fuelectenerg-494 103 6 n n CCONJ fuelectenerg-494 103 7 - - PUNCT fuelectenerg-494 103 8 bit bit NOUN fuelectenerg-494 103 9 operands operand NOUN fuelectenerg-494 103 10 s s PART fuelectenerg-494 103 11 = = NOUN fuelectenerg-494 103 12 sn−1sn−2 sn−1sn−2 PROPN fuelectenerg-494 103 13 . . PUNCT fuelectenerg-494 103 14 . . PUNCT fuelectenerg-494 104 1 .s0 .s0 ADJ fuelectenerg-494 105 1 , , PUNCT fuelectenerg-494 105 2 c c PROPN fuelectenerg-494 105 3 = = SYM fuelectenerg-494 105 4 cn−1cn−2 cn−1cn−2 PROPN fuelectenerg-494 105 5 . . PUNCT fuelectenerg-494 105 6 . . PUNCT fuelectenerg-494 106 1 .c0 .c0 INTJ fuelectenerg-494 107 1 and and CCONJ fuelectenerg-494 107 2 the the DET fuelectenerg-494 107 3 1 1 NUM fuelectenerg-494 107 4 - - PUNCT fuelectenerg-494 107 5 bit bit NOUN fuelectenerg-494 107 6 operand operand NOUN fuelectenerg-494 107 7 d d NOUN fuelectenerg-494 107 8 is be AUX fuelectenerg-494 107 9 based base VERB fuelectenerg-494 107 10 on on ADP fuelectenerg-494 107 11 the the DET fuelectenerg-494 107 12 following follow VERB fuelectenerg-494 107 13 relation relation NOUN fuelectenerg-494 107 14 x′′3 x′′3 PUNCT fuelectenerg-494 108 1 = = PRON fuelectenerg-494 108 2 { { PUNCT fuelectenerg-494 108 3 s+c+d s+c+d PROPN fuelectenerg-494 108 4 , , PUNCT fuelectenerg-494 108 5 s+c+d s+c+d PROPN fuelectenerg-494 108 6 ≤ ≤ NOUN fuelectenerg-494 108 7 2n 2n NUM fuelectenerg-494 108 8 s+c+d s+c+d X fuelectenerg-494 109 1 + + ADJ fuelectenerg-494 109 2 ( ( PUNCT fuelectenerg-494 109 3 2n 2n NUM fuelectenerg-494 109 4 −1)−2n+1 −1)−2n+1 ADJ fuelectenerg-494 109 5 , , PUNCT fuelectenerg-494 109 6 otherwise otherwise ADV fuelectenerg-494 109 7 . . PUNCT fuelectenerg-494 110 1 ( ( PUNCT fuelectenerg-494 110 2 9 9 X fuelectenerg-494 110 3 ) ) PUNCT fuelectenerg-494 110 4 in in ADP fuelectenerg-494 110 5 order order NOUN fuelectenerg-494 110 6 to to PART fuelectenerg-494 110 7 implement implement VERB fuelectenerg-494 110 8 ( ( PUNCT fuelectenerg-494 110 9 9 9 X fuelectenerg-494 110 10 ) ) PUNCT fuelectenerg-494 110 11 we we PRON fuelectenerg-494 110 12 can can AUX fuelectenerg-494 110 13 ignore ignore VERB fuelectenerg-494 110 14 the the DET fuelectenerg-494 110 15 output output NOUN fuelectenerg-494 110 16 carry carry VERB fuelectenerg-494 110 17 ( ( PUNCT fuelectenerg-494 110 18 cout cout NOUN fuelectenerg-494 110 19 ) ) PUNCT fuelectenerg-494 110 20 from from ADP fuelectenerg-494 110 21 2n+1 2n+1 PROPN fuelectenerg-494 110 22 position position NOUN fuelectenerg-494 110 23 and and CCONJ fuelectenerg-494 110 24 add add VERB fuelectenerg-494 110 25 the the DET fuelectenerg-494 110 26 constant constant ADJ fuelectenerg-494 110 27 value value NOUN fuelectenerg-494 110 28 of of ADP fuelectenerg-494 110 29 2n−1 2n−1 NUM fuelectenerg-494 110 30 to to ADP fuelectenerg-494 110 31 the the DET fuelectenerg-494 110 32 result result NOUN fuelectenerg-494 110 33 of of ADP fuelectenerg-494 110 34 a= a= ADJ fuelectenerg-494 110 35 s+c+d s+c+d X fuelectenerg-494 110 36 ( ( PUNCT fuelectenerg-494 110 37 in in ADP fuelectenerg-494 110 38 binary binary PROPN fuelectenerg-494 110 39 notation notation NOUN fuelectenerg-494 110 40 a a DET fuelectenerg-494 110 41 = = X fuelectenerg-494 110 42 anan−1 anan−1 PROPN fuelectenerg-494 110 43 . . PUNCT fuelectenerg-494 110 44 . . PUNCT fuelectenerg-494 111 1 .a0 .a0 PROPN fuelectenerg-494 111 2 ) ) PUNCT fuelectenerg-494 111 3 , , PUNCT fuelectenerg-494 112 1 if if SCONJ fuelectenerg-494 112 2 s+c+ s+c+ PROPN fuelectenerg-494 112 3 d d X fuelectenerg-494 112 4 > > X fuelectenerg-494 112 5 2n 2n NUM fuelectenerg-494 112 6 . . PUNCT fuelectenerg-494 113 1 that that PRON fuelectenerg-494 113 2 is is ADV fuelectenerg-494 113 3 , , PUNCT fuelectenerg-494 113 4 the the DET fuelectenerg-494 113 5 output output NOUN fuelectenerg-494 113 6 of of ADP fuelectenerg-494 113 7 the the DET fuelectenerg-494 113 8 residue residue NOUN fuelectenerg-494 113 9 generator generator NOUN fuelectenerg-494 113 10 should should AUX fuelectenerg-494 113 11 yield yield VERB fuelectenerg-494 113 12 the the DET fuelectenerg-494 113 13 value value NOUN fuelectenerg-494 113 14 b b NOUN fuelectenerg-494 113 15 which which PRON fuelectenerg-494 113 16 is be AUX fuelectenerg-494 113 17 obtained obtain VERB fuelectenerg-494 113 18 by by ADP fuelectenerg-494 113 19 adding add VERB fuelectenerg-494 113 20 the the DET fuelectenerg-494 113 21 ( ( PUNCT fuelectenerg-494 113 22 n+1)-bit n+1)-bit PROPN fuelectenerg-494 113 23 binary binary ADJ fuelectenerg-494 113 24 number number NOUN fuelectenerg-494 113 25 k k PROPN fuelectenerg-494 113 26 = = PUNCT fuelectenerg-494 113 27 011 011 NUM fuelectenerg-494 113 28 . . PUNCT fuelectenerg-494 113 29 . . PUNCT fuelectenerg-494 114 1 .1 .1 NUM fuelectenerg-494 114 2 � � PROPN fuelectenerg-494 114 3 � � PROPN fuelectenerg-494 114 4 � � PROPN fuelectenerg-494 114 5 � � PROPN fuelectenerg-494 114 6 n n ADP fuelectenerg-494 114 7 to to ADP fuelectenerg-494 114 8 the the DET fuelectenerg-494 114 9 binary binary ADJ fuelectenerg-494 114 10 number number NOUN fuelectenerg-494 114 11 a a PROPN fuelectenerg-494 114 12 , , PUNCT fuelectenerg-494 114 13 b b NOUN fuelectenerg-494 114 14 = = SYM fuelectenerg-494 114 15 anan−1 anan−1 PROPN fuelectenerg-494 114 16 . . PUNCT fuelectenerg-494 114 17 . . PUNCT fuelectenerg-494 115 1 .a0 .a0 PROPN fuelectenerg-494 116 1 + + ADJ fuelectenerg-494 116 2 011 011 NUM fuelectenerg-494 116 3 . . PUNCT fuelectenerg-494 116 4 . . PUNCT fuelectenerg-494 117 1 .1 .1 NUM fuelectenerg-494 117 2 � � PROPN fuelectenerg-494 117 3 � � PROPN fuelectenerg-494 117 4 � � PROPN fuelectenerg-494 117 5 � � PROPN fuelectenerg-494 117 6 n n PROPN fuelectenerg-494 117 7 , , PUNCT fuelectenerg-494 117 8 where where SCONJ fuelectenerg-494 117 9 an an DET fuelectenerg-494 117 10 = = NOUN fuelectenerg-494 117 11 cout cout NOUN fuelectenerg-494 117 12 . . PUNCT fuelectenerg-494 118 1 let let VERB fuelectenerg-494 118 2 pi+1 pi+1 NOUN fuelectenerg-494 118 3 denote denote VERB fuelectenerg-494 118 4 the the DET fuelectenerg-494 118 5 carry carry NOUN fuelectenerg-494 118 6 from from ADP fuelectenerg-494 118 7 i i PROPN fuelectenerg-494 118 8 - - PUNCT fuelectenerg-494 118 9 th th VERB fuelectenerg-494 118 10 bit bit NOUN fuelectenerg-494 118 11 position position NOUN fuelectenerg-494 118 12 obtained obtain VERB fuelectenerg-494 118 13 while while SCONJ fuelectenerg-494 118 14 performing perform VERB fuelectenerg-494 118 15 addition addition NOUN fuelectenerg-494 118 16 of of ADP fuelectenerg-494 118 17 the the DET fuelectenerg-494 118 18 binary binary ADJ fuelectenerg-494 118 19 numbers number NOUN fuelectenerg-494 118 20 a a PRON fuelectenerg-494 118 21 and and CCONJ fuelectenerg-494 118 22 k. k. PROPN fuelectenerg-494 119 1 it it PRON fuelectenerg-494 119 2 is be AUX fuelectenerg-494 119 3 obvious obvious ADJ fuelectenerg-494 119 4 that that SCONJ fuelectenerg-494 119 5 : : PUNCT fuelectenerg-494 119 6 p1 p1 PROPN fuelectenerg-494 119 7 = = SYM fuelectenerg-494 119 8 a0 a0 PROPN fuelectenerg-494 119 9 , , PUNCT fuelectenerg-494 119 10 pi+1 pi+1 X fuelectenerg-494 119 11 = = SYM fuelectenerg-494 119 12 pi pi NOUN fuelectenerg-494 119 13 ∨ai ∨ai PROPN fuelectenerg-494 119 14 , , PUNCT fuelectenerg-494 119 15 for for ADP fuelectenerg-494 119 16 i i PROPN fuelectenerg-494 119 17 = = SYM fuelectenerg-494 119 18 1 1 NUM fuelectenerg-494 119 19 , , PUNCT fuelectenerg-494 119 20 2 2 NUM fuelectenerg-494 119 21 , , PUNCT fuelectenerg-494 119 22 . . PUNCT fuelectenerg-494 119 23 . . PUNCT fuelectenerg-494 120 1 . . PUNCT fuelectenerg-494 121 1 , , PUNCT fuelectenerg-494 122 1 n−1 n−1 PROPN fuelectenerg-494 122 2 , , PUNCT fuelectenerg-494 122 3 ( ( PUNCT fuelectenerg-494 122 4 10 10 NUM fuelectenerg-494 122 5 ) ) PUNCT fuelectenerg-494 122 6 where where SCONJ fuelectenerg-494 122 7 ∨ ∨ NOUN fuelectenerg-494 122 8 corresponds correspond VERB fuelectenerg-494 122 9 to to ADP fuelectenerg-494 122 10 the the DET fuelectenerg-494 122 11 logical logical ADJ fuelectenerg-494 122 12 or or CCONJ fuelectenerg-494 122 13 operation operation NOUN fuelectenerg-494 122 14 . . PUNCT fuelectenerg-494 123 1 106 106 NUM fuelectenerg-494 123 2 i. i. PROPN fuelectenerg-494 123 3 krstić krstić PROPN fuelectenerg-494 123 4 , , PUNCT fuelectenerg-494 123 5 n. n. PROPN fuelectenerg-494 123 6 stamenković stamenković PROPN fuelectenerg-494 123 7 , , PUNCT fuelectenerg-494 123 8 v. v. ADP fuelectenerg-494 123 9 stojanović stojanović PROPN fuelectenerg-494 123 10 binary binary PROPN fuelectenerg-494 123 11 to to ADP fuelectenerg-494 123 12 rns rn NOUN fuelectenerg-494 123 13 encoder encoder NOUN fuelectenerg-494 123 14 with with ADP fuelectenerg-494 123 15 diminished-1 diminished-1 NUM fuelectenerg-494 123 16 encoded encode VERB fuelectenerg-494 123 17 channel channel NOUN fuelectenerg-494 123 18 107 107 NUM fuelectenerg-494 123 19 6 6 NUM fuelectenerg-494 123 20 i. i. PROPN fuelectenerg-494 123 21 krstić krstić PROPN fuelectenerg-494 123 22 , , PUNCT fuelectenerg-494 123 23 n. n. PROPN fuelectenerg-494 123 24 stamenković stamenković PROPN fuelectenerg-494 123 25 and and CCONJ fuelectenerg-494 123 26 v. v. ADP fuelectenerg-494 123 27 stojanović stojanović ADJ fuelectenerg-494 123 28 : : PUNCT fuelectenerg-494 123 29 furthermore furthermore ADV fuelectenerg-494 123 30 , , PUNCT fuelectenerg-494 123 31 the the DET fuelectenerg-494 123 32 output output NOUN fuelectenerg-494 123 33 vector vector PROPN fuelectenerg-494 123 34 b b PROPN fuelectenerg-494 123 35 is be AUX fuelectenerg-494 123 36 : : PUNCT fuelectenerg-494 123 37 b0 b0 NOUN fuelectenerg-494 123 38 = = PUNCT fuelectenerg-494 123 39 a0 a0 PROPN fuelectenerg-494 123 40 , , PUNCT fuelectenerg-494 123 41 bi bi NOUN fuelectenerg-494 123 42 = = PROPN fuelectenerg-494 123 43 pi pi PROPN fuelectenerg-494 123 44 ⊕ai ⊕ai PROPN fuelectenerg-494 123 45 , , PUNCT fuelectenerg-494 123 46 for for ADP fuelectenerg-494 123 47 i i PROPN fuelectenerg-494 123 48 = = SYM fuelectenerg-494 123 49 1 1 NUM fuelectenerg-494 123 50 , , PUNCT fuelectenerg-494 123 51 2 2 NUM fuelectenerg-494 123 52 , , PUNCT fuelectenerg-494 123 53 . . PUNCT fuelectenerg-494 123 54 . . PUNCT fuelectenerg-494 123 55 . . PUNCT fuelectenerg-494 124 1 , , PUNCT fuelectenerg-494 124 2 n−1 n−1 PROPN fuelectenerg-494 124 3 , , PUNCT fuelectenerg-494 124 4 bn bn NOUN fuelectenerg-494 124 5 = = PUNCT fuelectenerg-494 124 6 pn pn PROPN fuelectenerg-494 124 7 ⊕an ⊕an ADV fuelectenerg-494 124 8 . . PUNCT fuelectenerg-494 125 1 ( ( PUNCT fuelectenerg-494 125 2 11 11 NUM fuelectenerg-494 125 3 ) ) PUNCT fuelectenerg-494 125 4 according accord VERB fuelectenerg-494 125 5 to to ADP fuelectenerg-494 125 6 the the DET fuelectenerg-494 125 7 value value NOUN fuelectenerg-494 125 8 of of ADP fuelectenerg-494 125 9 the the DET fuelectenerg-494 125 10 control control NOUN fuelectenerg-494 125 11 signal signal NOUN fuelectenerg-494 125 12 sel sel NOUN fuelectenerg-494 125 13 either either CCONJ fuelectenerg-494 125 14 a a DET fuelectenerg-494 125 15 = = X fuelectenerg-494 125 16 anan−1 anan−1 PROPN fuelectenerg-494 125 17 . . PUNCT fuelectenerg-494 125 18 . . PUNCT fuelectenerg-494 126 1 .a0 .a0 PROPN fuelectenerg-494 126 2 or or CCONJ fuelectenerg-494 126 3 b b X fuelectenerg-494 126 4 = = PUNCT fuelectenerg-494 126 5 bnbn−1 bnbn−1 PROPN fuelectenerg-494 126 6 . . PUNCT fuelectenerg-494 126 7 . . PUNCT fuelectenerg-494 127 1 .b0 .b0 PROPN fuelectenerg-494 127 2 should should AUX fuelectenerg-494 127 3 be be AUX fuelectenerg-494 127 4 connected connect VERB fuelectenerg-494 127 5 to to ADP fuelectenerg-494 127 6 the the DET fuelectenerg-494 127 7 output output NOUN fuelectenerg-494 127 8 ( ( PUNCT fuelectenerg-494 127 9 if if SCONJ fuelectenerg-494 127 10 sel sel ADJ fuelectenerg-494 128 1 = = NOUN fuelectenerg-494 128 2 0 0 PUNCT fuelectenerg-494 129 1 then then ADV fuelectenerg-494 129 2 x′′3 x′′3 PROPN fuelectenerg-494 129 3 = = PUNCT fuelectenerg-494 129 4 a a PROPN fuelectenerg-494 129 5 , , PUNCT fuelectenerg-494 129 6 else else ADV fuelectenerg-494 129 7 x′′3 x′′3 PUNCT fuelectenerg-494 129 8 = = SYM fuelectenerg-494 129 9 b b PROPN fuelectenerg-494 129 10 ): ): PUNCT fuelectenerg-494 129 11 x′′3,k x′′3,k PROPN fuelectenerg-494 129 12 = = SYM fuelectenerg-494 129 13 ( ( PUNCT fuelectenerg-494 129 14 bk bk ADP fuelectenerg-494 129 15 ∧ ∧ PROPN fuelectenerg-494 129 16 sel)∨ sel)∨ NOUN fuelectenerg-494 129 17 ( ( PUNCT fuelectenerg-494 129 18 ak ak PROPN fuelectenerg-494 129 19 ∧ ∧ PROPN fuelectenerg-494 129 20 sel sel PROPN fuelectenerg-494 129 21 ) ) PUNCT fuelectenerg-494 129 22 . . PUNCT fuelectenerg-494 130 1 ( ( PUNCT fuelectenerg-494 130 2 12 12 NUM fuelectenerg-494 130 3 ) ) PUNCT fuelectenerg-494 130 4 considering consider VERB fuelectenerg-494 130 5 the the DET fuelectenerg-494 130 6 values value NOUN fuelectenerg-494 130 7 of of ADP fuelectenerg-494 130 8 cout cout NOUN fuelectenerg-494 130 9 and and CCONJ fuelectenerg-494 130 10 pn pn NOUN fuelectenerg-494 130 11 , , PUNCT fuelectenerg-494 130 12 there there PRON fuelectenerg-494 130 13 are be VERB fuelectenerg-494 130 14 three three NUM fuelectenerg-494 130 15 cases case NOUN fuelectenerg-494 130 16 to to PART fuelectenerg-494 130 17 be be AUX fuelectenerg-494 130 18 discussed discuss VERB fuelectenerg-494 130 19 : : PUNCT fuelectenerg-494 130 20 1 1 X fuelectenerg-494 130 21 . . X fuelectenerg-494 130 22 if if SCONJ fuelectenerg-494 130 23 s+c+ s+c+ PROPN fuelectenerg-494 130 24 d d X fuelectenerg-494 130 25 < < X fuelectenerg-494 130 26 2n 2n NUM fuelectenerg-494 130 27 , , PUNCT fuelectenerg-494 130 28 that that PRON fuelectenerg-494 130 29 is be AUX fuelectenerg-494 130 30 cout cout ADJ fuelectenerg-494 130 31 = = SYM fuelectenerg-494 130 32 0 0 NUM fuelectenerg-494 130 33 and and CCONJ fuelectenerg-494 130 34 pn pn PROPN fuelectenerg-494 130 35 can can AUX fuelectenerg-494 130 36 be be AUX fuelectenerg-494 130 37 zero zero NUM fuelectenerg-494 130 38 or or CCONJ fuelectenerg-494 130 39 one one NUM fuelectenerg-494 130 40 , , PUNCT fuelectenerg-494 130 41 then then ADV fuelectenerg-494 130 42 sel sel AUX fuelectenerg-494 130 43 = = SYM fuelectenerg-494 130 44 0 0 PROPN fuelectenerg-494 130 45 , , PUNCT fuelectenerg-494 130 46 which which PRON fuelectenerg-494 130 47 corresponds correspond VERB fuelectenerg-494 130 48 to to ADP fuelectenerg-494 130 49 the the DET fuelectenerg-494 130 50 binary binary ADJ fuelectenerg-494 130 51 number number NOUN fuelectenerg-494 130 52 a a PRON fuelectenerg-494 130 53 at at ADP fuelectenerg-494 130 54 the the DET fuelectenerg-494 130 55 output output NOUN fuelectenerg-494 130 56 . . PUNCT fuelectenerg-494 131 1 2 2 X fuelectenerg-494 131 2 . . X fuelectenerg-494 131 3 if if SCONJ fuelectenerg-494 131 4 s+c+d s+c+d PROPN fuelectenerg-494 131 5 = = SYM fuelectenerg-494 131 6 2n 2n NUM fuelectenerg-494 131 7 , , PUNCT fuelectenerg-494 131 8 that that PRON fuelectenerg-494 131 9 is be AUX fuelectenerg-494 131 10 cout cout ADJ fuelectenerg-494 131 11 = = SYM fuelectenerg-494 131 12 1 1 NUM fuelectenerg-494 131 13 and and CCONJ fuelectenerg-494 131 14 pn pn X fuelectenerg-494 131 15 = = SYM fuelectenerg-494 131 16 0 0 PROPN fuelectenerg-494 131 17 , , PUNCT fuelectenerg-494 131 18 then then ADV fuelectenerg-494 131 19 sel sel AUX fuelectenerg-494 131 20 = = SYM fuelectenerg-494 131 21 0 0 NUM fuelectenerg-494 132 1 and and CCONJ fuelectenerg-494 132 2 x′′3 x′′3 PUNCT fuelectenerg-494 132 3 = = PUNCT fuelectenerg-494 132 4 a. a. NOUN fuelectenerg-494 133 1 3 3 NUM fuelectenerg-494 133 2 . . PUNCT fuelectenerg-494 134 1 if if SCONJ fuelectenerg-494 134 2 s+c+d s+c+d PROPN fuelectenerg-494 134 3 > > X fuelectenerg-494 134 4 2n 2n NUM fuelectenerg-494 134 5 , , PUNCT fuelectenerg-494 134 6 that that PRON fuelectenerg-494 134 7 is be AUX fuelectenerg-494 134 8 cout cout ADJ fuelectenerg-494 134 9 = = SYM fuelectenerg-494 134 10 1 1 NUM fuelectenerg-494 134 11 and and CCONJ fuelectenerg-494 134 12 pn pn X fuelectenerg-494 134 13 = = SYM fuelectenerg-494 134 14 1 1 NUM fuelectenerg-494 134 15 , , PUNCT fuelectenerg-494 134 16 then then ADV fuelectenerg-494 134 17 sel sel AUX fuelectenerg-494 134 18 = = SYM fuelectenerg-494 134 19 1 1 NUM fuelectenerg-494 134 20 , , PUNCT fuelectenerg-494 134 21 which which PRON fuelectenerg-494 134 22 corresponds correspond VERB fuelectenerg-494 134 23 to to ADP fuelectenerg-494 134 24 the the DET fuelectenerg-494 134 25 binary binary ADJ fuelectenerg-494 134 26 number number NOUN fuelectenerg-494 134 27 b b PROPN fuelectenerg-494 134 28 at at ADP fuelectenerg-494 134 29 the the DET fuelectenerg-494 134 30 output output NOUN fuelectenerg-494 134 31 . . PUNCT fuelectenerg-494 135 1 according accord VERB fuelectenerg-494 135 2 to to ADP fuelectenerg-494 135 3 the the DET fuelectenerg-494 135 4 above above ADJ fuelectenerg-494 135 5 discussion discussion NOUN fuelectenerg-494 135 6 it it PRON fuelectenerg-494 135 7 can can AUX fuelectenerg-494 135 8 be be AUX fuelectenerg-494 135 9 concluded conclude VERB fuelectenerg-494 135 10 that that SCONJ fuelectenerg-494 135 11 sel sel NOUN fuelectenerg-494 135 12 = = PUNCT fuelectenerg-494 135 13 cout cout NOUN fuelectenerg-494 135 14 ∧ ∧ PROPN fuelectenerg-494 135 15 pn pn PROPN fuelectenerg-494 135 16 , , PUNCT fuelectenerg-494 135 17 where where SCONJ fuelectenerg-494 135 18 ∧ ∧ PROPN fuelectenerg-494 135 19 corresponds correspond VERB fuelectenerg-494 135 20 to to ADP fuelectenerg-494 135 21 the the DET fuelectenerg-494 135 22 logical logical ADJ fuelectenerg-494 135 23 and and CCONJ fuelectenerg-494 135 24 operation operation NOUN fuelectenerg-494 135 25 . . PUNCT fuelectenerg-494 136 1 equation equation NOUN fuelectenerg-494 136 2 ( ( PUNCT fuelectenerg-494 136 3 12 12 NUM fuelectenerg-494 136 4 ) ) PUNCT fuelectenerg-494 136 5 can can AUX fuelectenerg-494 136 6 be be AUX fuelectenerg-494 136 7 simplified simplify VERB fuelectenerg-494 136 8 by by ADP fuelectenerg-494 136 9 putting put VERB fuelectenerg-494 136 10 ( ( PUNCT fuelectenerg-494 136 11 11 11 NUM fuelectenerg-494 136 12 ) ) PUNCT fuelectenerg-494 136 13 in in ADP fuelectenerg-494 136 14 ( ( PUNCT fuelectenerg-494 136 15 12 12 NUM fuelectenerg-494 136 16 ): ): PUNCT fuelectenerg-494 136 17 x′′3,0 x′′3,0 PROPN fuelectenerg-494 136 18 = = SYM fuelectenerg-494 136 19 a0 a0 PROPN fuelectenerg-494 136 20 ⊕ ⊕ PROPN fuelectenerg-494 136 21 sel sel PROPN fuelectenerg-494 136 22 , , PUNCT fuelectenerg-494 136 23 x′′3,i x′′3,i PROPN fuelectenerg-494 137 1 = = PRON fuelectenerg-494 137 2 ( ( PUNCT fuelectenerg-494 137 3 sel sel X fuelectenerg-494 137 4 ∧ ∧ PROPN fuelectenerg-494 137 5 pi)⊕ai pi)⊕ai VERB fuelectenerg-494 137 6 , , PUNCT fuelectenerg-494 137 7 for for ADP fuelectenerg-494 137 8 i i PROPN fuelectenerg-494 137 9 = = SYM fuelectenerg-494 137 10 1 1 NUM fuelectenerg-494 137 11 , , PUNCT fuelectenerg-494 137 12 2 2 NUM fuelectenerg-494 137 13 , , PUNCT fuelectenerg-494 137 14 . . PUNCT fuelectenerg-494 137 15 . . PUNCT fuelectenerg-494 138 1 . . PUNCT fuelectenerg-494 139 1 , , PUNCT fuelectenerg-494 139 2 n−1 n−1 PROPN fuelectenerg-494 139 3 , , PUNCT fuelectenerg-494 139 4 x′′3,n x′′3,n NOUN fuelectenerg-494 139 5 = = PUNCT fuelectenerg-494 140 1 an an DET fuelectenerg-494 140 2 ∧ ∧ PROPN fuelectenerg-494 140 3 pn pn PROPN fuelectenerg-494 140 4 . . PUNCT fuelectenerg-494 141 1 ( ( PUNCT fuelectenerg-494 141 2 13 13 NUM fuelectenerg-494 141 3 ) ) PUNCT fuelectenerg-494 141 4 finally finally ADV fuelectenerg-494 141 5 , , PUNCT fuelectenerg-494 141 6 the the DET fuelectenerg-494 141 7 architecture architecture NOUN fuelectenerg-494 141 8 of of ADP fuelectenerg-494 141 9 the the DET fuelectenerg-494 141 10 binary binary NOUN fuelectenerg-494 141 11 to to ADP fuelectenerg-494 141 12 the the DET fuelectenerg-494 141 13 modulo modulo NOUN fuelectenerg-494 141 14 2n 2n ADJ fuelectenerg-494 141 15 + + CCONJ fuelectenerg-494 141 16 1 1 NUM fuelectenerg-494 141 17 converter converter NOUN fuelectenerg-494 141 18 with with ADP fuelectenerg-494 141 19 the the DET fuelectenerg-494 141 20 embedded embed VERB fuelectenerg-494 141 21 modulo modulo PROPN fuelectenerg-494 141 22 2n 2n ADJ fuelectenerg-494 141 23 +1 +1 ADJ fuelectenerg-494 141 24 channel channel NOUN fuelectenerg-494 141 25 in in ADP fuelectenerg-494 141 26 the the DET fuelectenerg-494 141 27 diminished-1 diminished-1 NUM fuelectenerg-494 141 28 representation representation NOUN fuelectenerg-494 141 29 for for ADP fuelectenerg-494 141 30 n n NOUN fuelectenerg-494 141 31 = = NUM fuelectenerg-494 141 32 6 6 NUM fuelectenerg-494 141 33 is be AUX fuelectenerg-494 141 34 given give VERB fuelectenerg-494 141 35 in in ADP fuelectenerg-494 141 36 the the DET fuelectenerg-494 141 37 fig fig NOUN fuelectenerg-494 141 38 . . PUNCT fuelectenerg-494 142 1 2 2 X fuelectenerg-494 142 2 . . X fuelectenerg-494 142 3 depending depend VERB fuelectenerg-494 142 4 on on ADP fuelectenerg-494 142 5 the the DET fuelectenerg-494 142 6 value value NOUN fuelectenerg-494 142 7 of of ADP fuelectenerg-494 142 8 the the DET fuelectenerg-494 142 9 control control NOUN fuelectenerg-494 142 10 bit bit NOUN fuelectenerg-494 142 11 d d PROPN fuelectenerg-494 142 12 , , PUNCT fuelectenerg-494 142 13 the the DET fuelectenerg-494 142 14 converter converter NOUN fuelectenerg-494 142 15 gives give VERB fuelectenerg-494 142 16 either either CCONJ fuelectenerg-494 142 17 x3 x3 ADJ fuelectenerg-494 142 18 or or CCONJ fuelectenerg-494 142 19 x′3 x′3 INTJ fuelectenerg-494 142 20 . . PUNCT fuelectenerg-494 143 1 the the DET fuelectenerg-494 143 2 critical critical ADJ fuelectenerg-494 143 3 path path NOUN fuelectenerg-494 143 4 of of ADP fuelectenerg-494 143 5 the the DET fuelectenerg-494 143 6 converter converter NOUN fuelectenerg-494 143 7 is be AUX fuelectenerg-494 143 8 depicted depict VERB fuelectenerg-494 143 9 by by ADP fuelectenerg-494 143 10 the the DET fuelectenerg-494 143 11 dashed dash VERB fuelectenerg-494 143 12 line line NOUN fuelectenerg-494 143 13 . . PUNCT fuelectenerg-494 144 1 the the DET fuelectenerg-494 144 2 theoretical theoretical ADJ fuelectenerg-494 144 3 formula formula NOUN fuelectenerg-494 144 4 for for ADP fuelectenerg-494 144 5 the the DET fuelectenerg-494 144 6 propagation propagation NOUN fuelectenerg-494 144 7 delay delay NOUN fuelectenerg-494 144 8 , , PUNCT fuelectenerg-494 144 9 i.e. i.e. X fuelectenerg-494 144 10 conversion conversion NOUN fuelectenerg-494 144 11 time time NOUN fuelectenerg-494 144 12 , , PUNCT fuelectenerg-494 144 13 of of ADP fuelectenerg-494 144 14 the the DET fuelectenerg-494 144 15 binary binary NOUN fuelectenerg-494 144 16 to to ADP fuelectenerg-494 144 17 the the DET fuelectenerg-494 144 18 modulo modulo NOUN fuelectenerg-494 144 19 2n 2n ADJ fuelectenerg-494 144 20 + + CCONJ fuelectenerg-494 144 21 1 1 NUM fuelectenerg-494 144 22 residue residue NOUN fuelectenerg-494 144 23 generator generator NOUN fuelectenerg-494 144 24 with with ADP fuelectenerg-494 144 25 the the DET fuelectenerg-494 144 26 embedded embed VERB fuelectenerg-494 144 27 diminished-1 diminished-1 NUM fuelectenerg-494 144 28 channel channel NOUN fuelectenerg-494 144 29 is be AUX fuelectenerg-494 144 30 t3 t3 NOUN fuelectenerg-494 144 31 = = PUNCT fuelectenerg-494 144 32 2n+10 2n+10 NOUN fuelectenerg-494 144 33 . . PUNCT fuelectenerg-494 145 1 the the DET fuelectenerg-494 145 2 area area NOUN fuelectenerg-494 145 3 cost cost NOUN fuelectenerg-494 145 4 is be AUX fuelectenerg-494 145 5 equal equal ADJ fuelectenerg-494 145 6 to to PART fuelectenerg-494 145 7 a3 a3 VERB fuelectenerg-494 145 8 = = PUNCT fuelectenerg-494 145 9 18n 18n NOUN fuelectenerg-494 145 10 . . PUNCT fuelectenerg-494 146 1 the the DET fuelectenerg-494 146 2 validity validity NOUN fuelectenerg-494 146 3 of of ADP fuelectenerg-494 146 4 the the DET fuelectenerg-494 146 5 modulo modulo NOUN fuelectenerg-494 146 6 2n 2n ADJ fuelectenerg-494 146 7 + + CCONJ fuelectenerg-494 146 8 1 1 NUM fuelectenerg-494 146 9 channel channel NOUN fuelectenerg-494 146 10 and and CCONJ fuelectenerg-494 146 11 the the DET fuelectenerg-494 146 12 diminished-1 diminished-1 NUM fuelectenerg-494 146 13 encoded encode VERB fuelectenerg-494 146 14 channel channel NOUN fuelectenerg-494 146 15 operation operation NOUN fuelectenerg-494 146 16 of of ADP fuelectenerg-494 146 17 the the DET fuelectenerg-494 146 18 binary binary NOUN fuelectenerg-494 146 19 to to ADP fuelectenerg-494 146 20 residues residue NOUN fuelectenerg-494 146 21 encoder encoder NOUN fuelectenerg-494 146 22 for for ADP fuelectenerg-494 146 23 the the DET fuelectenerg-494 146 24 16 16 NUM fuelectenerg-494 146 25 - - PUNCT fuelectenerg-494 146 26 th th NUM fuelectenerg-494 146 27 bit bit NOUN fuelectenerg-494 146 28 input input NOUN fuelectenerg-494 146 29 number number NOUN fuelectenerg-494 146 30 and and CCONJ fuelectenerg-494 146 31 n n NOUN fuelectenerg-494 146 32 = = NUM fuelectenerg-494 146 33 6 6 NUM fuelectenerg-494 146 34 is be AUX fuelectenerg-494 146 35 demonstrated demonstrate VERB fuelectenerg-494 146 36 in in ADP fuelectenerg-494 146 37 the the DET fuelectenerg-494 146 38 following follow VERB fuelectenerg-494 146 39 example example NOUN fuelectenerg-494 146 40 . . PUNCT fuelectenerg-494 147 1 let let VERB fuelectenerg-494 147 2 x x SYM fuelectenerg-494 147 3 = = SYM fuelectenerg-494 147 4 54 54 NUM fuelectenerg-494 147 5 425 425 NUM fuelectenerg-494 147 6 = = SYM fuelectenerg-494 147 7 1101 1101 NUM fuelectenerg-494 147 8 010010 010010 NUM fuelectenerg-494 147 9 011001 011001 NUM fuelectenerg-494 147 10 . . PUNCT fuelectenerg-494 148 1 the the DET fuelectenerg-494 148 2 carry carry NOUN fuelectenerg-494 148 3 save save NOUN fuelectenerg-494 148 4 adder adder NOUN fuelectenerg-494 148 5 with with ADP fuelectenerg-494 148 6 end end NOUN fuelectenerg-494 148 7 around around ADP fuelectenerg-494 148 8 inverted invert VERB fuelectenerg-494 148 9 carry carry NOUN fuelectenerg-494 148 10 ( ( PUNCT fuelectenerg-494 148 11 eaic eaic ADJ fuelectenerg-494 148 12 ) ) PUNCT fuelectenerg-494 148 13 reduces reduce VERB fuelectenerg-494 148 14 the the DET fuelectenerg-494 148 15 three three NUM fuelectenerg-494 148 16 6 6 NUM fuelectenerg-494 148 17 - - PUNCT fuelectenerg-494 148 18 bit bit NOUN fuelectenerg-494 148 19 inputs input NOUN fuelectenerg-494 148 20 n0 n0 X fuelectenerg-494 148 21 , , PUNCT fuelectenerg-494 148 22 n1 n1 PROPN fuelectenerg-494 148 23 and and CCONJ fuelectenerg-494 148 24 n2 n2 NOUN fuelectenerg-494 148 25 to to ADP fuelectenerg-494 148 26 the the DET fuelectenerg-494 148 27 two two NUM fuelectenerg-494 148 28 6 6 NUM fuelectenerg-494 148 29 - - PUNCT fuelectenerg-494 148 30 bit bit NOUN fuelectenerg-494 148 31 numbers number NOUN fuelectenerg-494 148 32 : : PUNCT fuelectenerg-494 148 33 the the DET fuelectenerg-494 148 34 partial partial ADJ fuelectenerg-494 148 35 sum sum NOUN fuelectenerg-494 148 36 sequence sequence NOUN fuelectenerg-494 148 37 ( ( PUNCT fuelectenerg-494 148 38 s s NOUN fuelectenerg-494 148 39 ) ) PUNCT fuelectenerg-494 148 40 and and CCONJ fuelectenerg-494 148 41 the the DET fuelectenerg-494 148 42 partial partial ADJ fuelectenerg-494 148 43 carry carry VERB fuelectenerg-494 148 44 sequence sequence NOUN fuelectenerg-494 148 45 ( ( PUNCT fuelectenerg-494 148 46 c c NOUN fuelectenerg-494 148 47 ) ) PUNCT fuelectenerg-494 148 48 106 106 NUM fuelectenerg-494 148 49 i. i. NOUN fuelectenerg-494 148 50 krstić krstić PROPN fuelectenerg-494 148 51 , , PUNCT fuelectenerg-494 148 52 n. n. PROPN fuelectenerg-494 148 53 stamenković stamenković PROPN fuelectenerg-494 148 54 , , PUNCT fuelectenerg-494 148 55 v. v. ADP fuelectenerg-494 148 56 stojanović stojanović PROPN fuelectenerg-494 148 57 binary binary PROPN fuelectenerg-494 148 58 to to ADP fuelectenerg-494 148 59 rns rn NOUN fuelectenerg-494 148 60 encoder encoder NOUN fuelectenerg-494 148 61 with with ADP fuelectenerg-494 148 62 diminished-1 diminished-1 NUM fuelectenerg-494 148 63 encoded encode VERB fuelectenerg-494 148 64 channel channel NOUN fuelectenerg-494 148 65 107 107 NUM fuelectenerg-494 148 66 binary binary NOUN fuelectenerg-494 148 67 to to ADP fuelectenerg-494 148 68 rns rn NOUN fuelectenerg-494 148 69 encoder encoder NOUN fuelectenerg-494 148 70 with with ADP fuelectenerg-494 148 71 diminished-1 diminished-1 NUM fuelectenerg-494 148 72 encoded encode VERB fuelectenerg-494 148 73 channel channel NOUN fuelectenerg-494 148 74 7 7 NUM fuelectenerg-494 148 75 fa fa INTJ fuelectenerg-494 148 76 fa fa INTJ fuelectenerg-494 148 77 fa fa INTJ fuelectenerg-494 148 78 fa fa INTJ fuelectenerg-494 148 79 fa fa INTJ fuelectenerg-494 148 80 fa fa INTJ fuelectenerg-494 148 81 fa fa INTJ fuelectenerg-494 148 82 fa fa INTJ fuelectenerg-494 148 83 fa fa INTJ fuelectenerg-494 148 84 fa fa INTJ fuelectenerg-494 148 85 fa fa PROPN fuelectenerg-494 148 86 dfa dfa PROPN fuelectenerg-494 149 1 n2,5 n2,5 PROPN fuelectenerg-494 149 2 n2,4 n2,4 PROPN fuelectenerg-494 149 3 n2,3 n2,3 ADJ fuelectenerg-494 149 4 n2,2 n2,2 PROPN fuelectenerg-494 149 5 n2,1 n2,1 NOUN fuelectenerg-494 149 6 n2,0 n2,0 VERB fuelectenerg-494 149 7 n1,5 n1,5 CCONJ fuelectenerg-494 149 8 n1,4 n1,4 PROPN fuelectenerg-494 149 9 n1,3 n1,3 PROPN fuelectenerg-494 149 10 n1,2 n1,2 PROPN fuelectenerg-494 149 11 n1,1 n1,1 PROPN fuelectenerg-494 149 12 n1,0 n1,0 PROPN fuelectenerg-494 149 13 n0,5 n0,5 PROPN fuelectenerg-494 149 14 n0,4 n0,4 PROPN fuelectenerg-494 149 15 n0,3 n0,3 PRON fuelectenerg-494 149 16 n0,2 n0,2 ADJ fuelectenerg-494 149 17 n0,1 n0,1 ADV fuelectenerg-494 149 18 n0,0 n0,0 NOUN fuelectenerg-494 149 19 cout cout VERB fuelectenerg-494 149 20 x3,6 x3,6 PROPN fuelectenerg-494 149 21 or or CCONJ fuelectenerg-494 149 22 x′3,6 x′3,6 PROPN fuelectenerg-494 149 23 x3,5 x3,5 PROPN fuelectenerg-494 149 24 or or CCONJ fuelectenerg-494 149 25 x′3,5 x′3,5 NUM fuelectenerg-494 149 26 x3,4 x3,4 ADJ fuelectenerg-494 149 27 or or CCONJ fuelectenerg-494 149 28 x′3,4 x′3,4 ADJ fuelectenerg-494 149 29 x3,3 x3,3 PROPN fuelectenerg-494 149 30 or or CCONJ fuelectenerg-494 149 31 x′3,3 x′3,3 PROPN fuelectenerg-494 149 32 x3,2 x3,2 PROPN fuelectenerg-494 149 33 or or CCONJ fuelectenerg-494 149 34 x′3,2 x′3,2 PROPN fuelectenerg-494 149 35 x3,1 x3,1 PROPN fuelectenerg-494 149 36 or or CCONJ fuelectenerg-494 149 37 x′3,1 x′3,1 PROPN fuelectenerg-494 150 1 x3,0 x3,0 PROPN fuelectenerg-494 150 2 or or CCONJ fuelectenerg-494 150 3 x′3,0 x′3,0 PRON fuelectenerg-494 150 4 cout cout PROPN fuelectenerg-494 150 5 s5 s5 PROPN fuelectenerg-494 150 6 s4 s4 PROPN fuelectenerg-494 150 7 s3 s3 PROPN fuelectenerg-494 150 8 s2 s2 NOUN fuelectenerg-494 150 9 s1 s1 NOUN fuelectenerg-494 150 10 s0c5 s0c5 ADP fuelectenerg-494 150 11 c4 c4 NOUN fuelectenerg-494 150 12 c3 c3 PROPN fuelectenerg-494 150 13 c2 c2 PROPN fuelectenerg-494 150 14 c1 c1 PROPN fuelectenerg-494 150 15 c0 c0 PROPN fuelectenerg-494 150 16 a5 a5 PROPN fuelectenerg-494 150 17 a4 a4 PROPN fuelectenerg-494 150 18 a3 a3 NOUN fuelectenerg-494 150 19 a2 a2 PROPN fuelectenerg-494 150 20 a1 a1 NOUN fuelectenerg-494 150 21 a0p6 a0p6 ADV fuelectenerg-494 150 22 p5 p5 ADJ fuelectenerg-494 150 23 p4 p4 ADJ fuelectenerg-494 150 24 p3 p3 NOUN fuelectenerg-494 150 25 p2 p2 X fuelectenerg-494 150 26 sel sel PROPN fuelectenerg-494 150 27 fig fig NOUN fuelectenerg-494 150 28 . . PUNCT fuelectenerg-494 151 1 2 2 X fuelectenerg-494 151 2 . . X fuelectenerg-494 151 3 the the DET fuelectenerg-494 151 4 architecture architecture NOUN fuelectenerg-494 151 5 of of ADP fuelectenerg-494 151 6 binary binary NOUN fuelectenerg-494 151 7 to to ADP fuelectenerg-494 151 8 modulo modulo PROPN fuelectenerg-494 151 9 ( ( PUNCT fuelectenerg-494 151 10 26 26 NUM fuelectenerg-494 151 11 +1 +1 ADJ fuelectenerg-494 151 12 ) ) PUNCT fuelectenerg-494 151 13 converter converter NOUN fuelectenerg-494 151 14 with with ADP fuelectenerg-494 151 15 the the DET fuelectenerg-494 151 16 embedded embed VERB fuelectenerg-494 151 17 modulo modulo NOUN fuelectenerg-494 151 18 ( ( PUNCT fuelectenerg-494 151 19 26 26 NUM fuelectenerg-494 151 20 +1 +1 ADJ fuelectenerg-494 151 21 ) ) PUNCT fuelectenerg-494 151 22 channel channel NOUN fuelectenerg-494 151 23 in in ADP fuelectenerg-494 151 24 the the DET fuelectenerg-494 151 25 diminished-1 diminished-1 NUM fuelectenerg-494 151 26 representation representation NOUN fuelectenerg-494 151 27 . . PUNCT fuelectenerg-494 152 1 for for ADP fuelectenerg-494 152 2 d d NOUN fuelectenerg-494 152 3 = = SYM fuelectenerg-494 152 4 1 1 NUM fuelectenerg-494 152 5 we we PRON fuelectenerg-494 152 6 have have VERB fuelectenerg-494 152 7 x3 x3 NOUN fuelectenerg-494 152 8 = = SYM fuelectenerg-494 152 9 ⟨x⟩26 ⟨x⟩26 X fuelectenerg-494 152 10 + + NOUN fuelectenerg-494 152 11 1 1 NUM fuelectenerg-494 152 12 , , PUNCT fuelectenerg-494 152 13 but but CCONJ fuelectenerg-494 152 14 for for ADP fuelectenerg-494 152 15 d d NOUN fuelectenerg-494 152 16 = = SYM fuelectenerg-494 152 17 0 0 NUM fuelectenerg-494 152 18 we we PRON fuelectenerg-494 152 19 have have VERB fuelectenerg-494 152 20 diminished-1 diminished-1 NUM fuelectenerg-494 152 21 encoded encode VERB fuelectenerg-494 152 22 channel channel NOUN fuelectenerg-494 152 23 x′3 x′3 PROPN fuelectenerg-494 153 1 = = PUNCT fuelectenerg-494 153 2 ⟨x ⟨x VERB fuelectenerg-494 153 3 −1⟩26 −1⟩26 NOUN fuelectenerg-494 153 4 + + NOUN fuelectenerg-494 153 5 1 1 NUM fuelectenerg-494 153 6 . . PUNCT fuelectenerg-494 154 1 n2 n2 NOUN fuelectenerg-494 154 2 = = NOUN fuelectenerg-494 154 3 0 0 SYM fuelectenerg-494 154 4 0 0 NUM fuelectenerg-494 154 5 1 1 NUM fuelectenerg-494 154 6 1 1 NUM fuelectenerg-494 154 7 0 0 NUM fuelectenerg-494 154 8 1 1 NUM fuelectenerg-494 154 9 n1 n1 NOUN fuelectenerg-494 154 10 = = SYM fuelectenerg-494 154 11 1 1 NUM fuelectenerg-494 154 12 0 0 NUM fuelectenerg-494 154 13 1 1 NUM fuelectenerg-494 154 14 1 1 NUM fuelectenerg-494 154 15 0 0 NUM fuelectenerg-494 154 16 1 1 NUM fuelectenerg-494 154 17 n0 n0 X fuelectenerg-494 154 18 = = SYM fuelectenerg-494 154 19 0 0 NUM fuelectenerg-494 154 20 1 1 NUM fuelectenerg-494 154 21 1 1 NUM fuelectenerg-494 154 22 0 0 NUM fuelectenerg-494 154 23 0 0 NUM fuelectenerg-494 154 24 1 1 NUM fuelectenerg-494 154 25 s s NOUN fuelectenerg-494 154 26 = = SYM fuelectenerg-494 154 27 1 1 NUM fuelectenerg-494 154 28 1 1 NUM fuelectenerg-494 154 29 1 1 NUM fuelectenerg-494 154 30 0 0 NUM fuelectenerg-494 154 31 0 0 NUM fuelectenerg-494 154 32 1 1 NUM fuelectenerg-494 154 33 c c NOUN fuelectenerg-494 154 34 = = SYM fuelectenerg-494 154 35 0 0 SYM fuelectenerg-494 154 36 0 0 NUM fuelectenerg-494 154 37 1 1 NUM fuelectenerg-494 154 38 1 1 NUM fuelectenerg-494 154 39 0 0 NUM fuelectenerg-494 154 40 1 1 NUM fuelectenerg-494 154 41 1 1 NUM fuelectenerg-494 154 42 eaic eaic ADV fuelectenerg-494 154 43 for for ADP fuelectenerg-494 154 44 d d PROPN fuelectenerg-494 154 45 = = SYM fuelectenerg-494 154 46 1 1 NUM fuelectenerg-494 154 47 the the DET fuelectenerg-494 154 48 carry carry NOUN fuelectenerg-494 154 49 input input NOUN fuelectenerg-494 154 50 of of ADP fuelectenerg-494 154 51 lsb lsb PROPN fuelectenerg-494 154 52 full full ADJ fuelectenerg-494 154 53 adder adder NOUN fuelectenerg-494 154 54 of of ADP fuelectenerg-494 154 55 the the DET fuelectenerg-494 154 56 cpa cpa NOUN fuelectenerg-494 154 57 adder adder NOUN fuelectenerg-494 154 58 is be AUX fuelectenerg-494 154 59 equal equal ADJ fuelectenerg-494 154 60 to to ADP fuelectenerg-494 154 61 1 1 NUM fuelectenerg-494 154 62 , , PUNCT fuelectenerg-494 154 63 and and CCONJ fuelectenerg-494 154 64 the the DET fuelectenerg-494 154 65 cpa cpa NOUN fuelectenerg-494 154 66 gives give VERB fuelectenerg-494 154 67 : : PUNCT fuelectenerg-494 154 68 s s PART fuelectenerg-494 154 69 = = SYM fuelectenerg-494 155 1 1 1 NUM fuelectenerg-494 155 2 1 1 NUM fuelectenerg-494 155 3 1 1 NUM fuelectenerg-494 155 4 0 0 NUM fuelectenerg-494 155 5 0 0 NUM fuelectenerg-494 155 6 1 1 NUM fuelectenerg-494 155 7 c c NOUN fuelectenerg-494 155 8 = = SYM fuelectenerg-494 155 9 0 0 NUM fuelectenerg-494 155 10 1 1 NUM fuelectenerg-494 155 11 1 1 NUM fuelectenerg-494 155 12 0 0 NUM fuelectenerg-494 155 13 1 1 NUM fuelectenerg-494 155 14 1 1 NUM fuelectenerg-494 155 15 d d NOUN fuelectenerg-494 155 16 = = SYM fuelectenerg-494 155 17 1 1 NUM fuelectenerg-494 155 18 a a DET fuelectenerg-494 155 19 = = SYM fuelectenerg-494 155 20 1 1 NUM fuelectenerg-494 155 21 0 0 NUM fuelectenerg-494 155 22 1 1 NUM fuelectenerg-494 155 23 0 0 NUM fuelectenerg-494 155 24 1 1 NUM fuelectenerg-494 155 25 1 1 NUM fuelectenerg-494 155 26 0 0 NUM fuelectenerg-494 155 27 a a DET fuelectenerg-494 155 28 carry carry VERB fuelectenerg-494 155 29 out out ADP fuelectenerg-494 155 30 cout cout NOUN fuelectenerg-494 155 31 = = SYM fuelectenerg-494 155 32 a6 a6 NOUN fuelectenerg-494 155 33 = = SYM fuelectenerg-494 155 34 1 1 NUM fuelectenerg-494 155 35 is be AUX fuelectenerg-494 155 36 generated generate VERB fuelectenerg-494 155 37 . . PUNCT fuelectenerg-494 156 1 since since SCONJ fuelectenerg-494 156 2 the the DET fuelectenerg-494 156 3 6 6 NUM fuelectenerg-494 156 4 - - PUNCT fuelectenerg-494 156 5 bit bit NOUN fuelectenerg-494 156 6 vector vector NOUN fuelectenerg-494 156 7 p p NOUN fuelectenerg-494 156 8 is be AUX fuelectenerg-494 156 9 equal equal ADJ fuelectenerg-494 156 10 to to ADP fuelectenerg-494 156 11 p p NOUN fuelectenerg-494 156 12 = = PUNCT fuelectenerg-494 157 1 [ [ X fuelectenerg-494 157 2 1 1 NUM fuelectenerg-494 157 3 1 1 NUM fuelectenerg-494 157 4 1 1 NUM fuelectenerg-494 157 5 1 1 NUM fuelectenerg-494 157 6 1 1 NUM fuelectenerg-494 157 7 1 1 NUM fuelectenerg-494 157 8 ] ] PUNCT fuelectenerg-494 157 9 and and CCONJ fuelectenerg-494 157 10 the the DET fuelectenerg-494 157 11 sel sel NOUN fuelectenerg-494 157 12 = = PUNCT fuelectenerg-494 157 13 cout cout NOUN fuelectenerg-494 157 14 ∧ ∧ NOUN fuelectenerg-494 157 15 p6 p6 NOUN fuelectenerg-494 157 16 = = SYM fuelectenerg-494 157 17 1 1 NUM fuelectenerg-494 157 18 ( ( PUNCT fuelectenerg-494 157 19 bit bit NOUN fuelectenerg-494 157 20 p6 p6 PROPN fuelectenerg-494 157 21 is be AUX fuelectenerg-494 157 22 msb msb PROPN fuelectenerg-494 157 23 ) ) PUNCT fuelectenerg-494 157 24 , , PUNCT fuelectenerg-494 157 25 the the DET fuelectenerg-494 157 26 output output NOUN fuelectenerg-494 157 27 of of ADP fuelectenerg-494 157 28 the the DET fuelectenerg-494 157 29 converter converter NOUN fuelectenerg-494 157 30 is be AUX fuelectenerg-494 157 31 given give VERB fuelectenerg-494 157 32 by by ADP fuelectenerg-494 157 33 : : PUNCT fuelectenerg-494 157 34 x′′3 x′′3 PROPN fuelectenerg-494 158 1 = = SYM fuelectenerg-494 158 2 x3 x3 PROPN fuelectenerg-494 158 3 = = PUNCT fuelectenerg-494 159 1 [ [ X fuelectenerg-494 159 2 0 0 NUM fuelectenerg-494 159 3 0 0 NUM fuelectenerg-494 159 4 1 1 NUM fuelectenerg-494 159 5 0 0 NUM fuelectenerg-494 159 6 1 1 NUM fuelectenerg-494 159 7 0 0 NUM fuelectenerg-494 159 8 0 0 NUM fuelectenerg-494 159 9 ] ] SYM fuelectenerg-494 159 10 108 108 NUM fuelectenerg-494 159 11 i. i. NOUN fuelectenerg-494 159 12 krstić krstić PROPN fuelectenerg-494 159 13 , , PUNCT fuelectenerg-494 159 14 n. n. PROPN fuelectenerg-494 159 15 stamenković stamenković PROPN fuelectenerg-494 159 16 , , PUNCT fuelectenerg-494 159 17 v. v. ADP fuelectenerg-494 159 18 stojanović stojanović PROPN fuelectenerg-494 159 19 binary binary PROPN fuelectenerg-494 159 20 to to ADP fuelectenerg-494 159 21 rns rn NOUN fuelectenerg-494 159 22 encoder encoder NOUN fuelectenerg-494 159 23 with with ADP fuelectenerg-494 159 24 diminished-1 diminished-1 NUM fuelectenerg-494 159 25 encoded encode VERB fuelectenerg-494 159 26 channel channel NOUN fuelectenerg-494 159 27 109 109 NUM fuelectenerg-494 159 28 8 8 NUM fuelectenerg-494 159 29 i. i. PROPN fuelectenerg-494 159 30 krstić krstić PROPN fuelectenerg-494 159 31 , , PUNCT fuelectenerg-494 159 32 n. n. PROPN fuelectenerg-494 159 33 stamenković stamenković PROPN fuelectenerg-494 159 34 and and CCONJ fuelectenerg-494 159 35 v. v. ADP fuelectenerg-494 159 36 stojanović stojanović ADJ fuelectenerg-494 159 37 : : PUNCT fuelectenerg-494 159 38 or or CCONJ fuelectenerg-494 159 39 in in ADP fuelectenerg-494 159 40 the the DET fuelectenerg-494 159 41 decimal decimal ADJ fuelectenerg-494 159 42 notation notation NOUN fuelectenerg-494 159 43 x3 x3 PROPN fuelectenerg-494 159 44 = = SYM fuelectenerg-494 159 45 20 20 NUM fuelectenerg-494 159 46 , , PUNCT fuelectenerg-494 159 47 which which PRON fuelectenerg-494 159 48 can can AUX fuelectenerg-494 159 49 be be AUX fuelectenerg-494 159 50 verified verify VERB fuelectenerg-494 159 51 as as ADP fuelectenerg-494 159 52 true true ADJ fuelectenerg-494 159 53 . . PUNCT fuelectenerg-494 160 1 for for ADP fuelectenerg-494 160 2 d d PROPN fuelectenerg-494 160 3 = = SYM fuelectenerg-494 160 4 0 0 NUM fuelectenerg-494 160 5 , , PUNCT fuelectenerg-494 160 6 the the DET fuelectenerg-494 160 7 cpa cpa NOUN fuelectenerg-494 160 8 gives give VERB fuelectenerg-494 160 9 : : PUNCT fuelectenerg-494 160 10 s s PART fuelectenerg-494 160 11 = = SYM fuelectenerg-494 160 12 1 1 NUM fuelectenerg-494 160 13 1 1 NUM fuelectenerg-494 160 14 1 1 NUM fuelectenerg-494 160 15 0 0 NUM fuelectenerg-494 160 16 0 0 NUM fuelectenerg-494 160 17 1 1 NUM fuelectenerg-494 160 18 c c NOUN fuelectenerg-494 160 19 = = SYM fuelectenerg-494 160 20 0 0 NUM fuelectenerg-494 160 21 1 1 NUM fuelectenerg-494 160 22 1 1 NUM fuelectenerg-494 160 23 0 0 NUM fuelectenerg-494 160 24 1 1 NUM fuelectenerg-494 160 25 1 1 NUM fuelectenerg-494 160 26 a a PRON fuelectenerg-494 160 27 = = SYM fuelectenerg-494 161 1 1 1 NUM fuelectenerg-494 161 2 0 0 NUM fuelectenerg-494 161 3 1 1 NUM fuelectenerg-494 161 4 0 0 NUM fuelectenerg-494 161 5 1 1 NUM fuelectenerg-494 161 6 0 0 NUM fuelectenerg-494 161 7 0 0 NUM fuelectenerg-494 161 8 a a DET fuelectenerg-494 161 9 carry carry VERB fuelectenerg-494 161 10 out out ADP fuelectenerg-494 161 11 cout cout NOUN fuelectenerg-494 161 12 = = SYM fuelectenerg-494 161 13 a6 a6 NOUN fuelectenerg-494 162 1 = = SYM fuelectenerg-494 162 2 1 1 NUM fuelectenerg-494 162 3 is be AUX fuelectenerg-494 162 4 generated generate VERB fuelectenerg-494 162 5 . . PUNCT fuelectenerg-494 163 1 since since SCONJ fuelectenerg-494 163 2 the the DET fuelectenerg-494 163 3 6 6 NUM fuelectenerg-494 163 4 - - PUNCT fuelectenerg-494 163 5 bit bit NOUN fuelectenerg-494 163 6 vector vector NOUN fuelectenerg-494 163 7 p p NOUN fuelectenerg-494 163 8 is be AUX fuelectenerg-494 163 9 equal equal ADJ fuelectenerg-494 163 10 to to ADP fuelectenerg-494 163 11 p p NOUN fuelectenerg-494 163 12 = = PUNCT fuelectenerg-494 164 1 [ [ X fuelectenerg-494 164 2 1 1 NUM fuelectenerg-494 164 3 1 1 NUM fuelectenerg-494 164 4 1 1 NUM fuelectenerg-494 164 5 1 1 NUM fuelectenerg-494 164 6 0 0 NUM fuelectenerg-494 164 7 0 0 NUM fuelectenerg-494 164 8 ] ] PUNCT fuelectenerg-494 164 9 and and CCONJ fuelectenerg-494 164 10 the the DET fuelectenerg-494 164 11 sel sel NOUN fuelectenerg-494 164 12 = = PUNCT fuelectenerg-494 164 13 cout cout NOUN fuelectenerg-494 164 14 ∧ ∧ NOUN fuelectenerg-494 164 15 p6 p6 NOUN fuelectenerg-494 164 16 = = SYM fuelectenerg-494 164 17 1 1 NUM fuelectenerg-494 164 18 , , PUNCT fuelectenerg-494 164 19 the the DET fuelectenerg-494 164 20 output output NOUN fuelectenerg-494 164 21 of of ADP fuelectenerg-494 164 22 the the DET fuelectenerg-494 164 23 converter converter NOUN fuelectenerg-494 164 24 is be AUX fuelectenerg-494 164 25 given give VERB fuelectenerg-494 164 26 by by ADP fuelectenerg-494 164 27 : : PUNCT fuelectenerg-494 164 28 x′′3 x′′3 PROPN fuelectenerg-494 164 29 = = PUNCT fuelectenerg-494 164 30 x′3 x′3 X fuelectenerg-494 165 1 = = PUNCT fuelectenerg-494 166 1 [ [ X fuelectenerg-494 166 2 0 0 NUM fuelectenerg-494 166 3 0 0 NUM fuelectenerg-494 166 4 1 1 NUM fuelectenerg-494 166 5 0 0 NUM fuelectenerg-494 166 6 0 0 NUM fuelectenerg-494 166 7 1 1 NUM fuelectenerg-494 166 8 1 1 NUM fuelectenerg-494 166 9 ] ] PUNCT fuelectenerg-494 166 10 or or CCONJ fuelectenerg-494 166 11 in in ADP fuelectenerg-494 166 12 the the DET fuelectenerg-494 166 13 decimal decimal ADJ fuelectenerg-494 166 14 notation notation NOUN fuelectenerg-494 166 15 x′3 x′3 PUNCT fuelectenerg-494 167 1 = = SYM fuelectenerg-494 167 2 19 19 NUM fuelectenerg-494 167 3 , , PUNCT fuelectenerg-494 167 4 which which PRON fuelectenerg-494 167 5 can can AUX fuelectenerg-494 167 6 be be AUX fuelectenerg-494 167 7 verified verify VERB fuelectenerg-494 167 8 as as ADP fuelectenerg-494 167 9 true true ADJ fuelectenerg-494 167 10 . . PUNCT fuelectenerg-494 168 1 3 3 NUM fuelectenerg-494 168 2 hardware hardware NOUN fuelectenerg-494 168 3 implementation implementation NOUN fuelectenerg-494 168 4 and and CCONJ fuelectenerg-494 168 5 performance performance NOUN fuelectenerg-494 168 6 evaluation evaluation NOUN fuelectenerg-494 168 7 in in ADP fuelectenerg-494 168 8 this this DET fuelectenerg-494 168 9 section section NOUN fuelectenerg-494 168 10 , , PUNCT fuelectenerg-494 168 11 the the DET fuelectenerg-494 168 12 propagation propagation NOUN fuelectenerg-494 168 13 delay delay NOUN fuelectenerg-494 168 14 and and CCONJ fuelectenerg-494 168 15 the the DET fuelectenerg-494 168 16 amount amount NOUN fuelectenerg-494 168 17 of of ADP fuelectenerg-494 168 18 the the DET fuelectenerg-494 168 19 hardware hardware NOUN fuelectenerg-494 168 20 needed need VERB fuelectenerg-494 168 21 for for ADP fuelectenerg-494 168 22 implementation implementation NOUN fuelectenerg-494 168 23 of of ADP fuelectenerg-494 168 24 proposed propose VERB fuelectenerg-494 168 25 encoder encoder NOUN fuelectenerg-494 168 26 on on ADP fuelectenerg-494 168 27 an an DET fuelectenerg-494 168 28 asic asic NOUN fuelectenerg-494 168 29 and and CCONJ fuelectenerg-494 168 30 fpga fpga PROPN fuelectenerg-494 168 31 chip chip NOUN fuelectenerg-494 168 32 , , PUNCT fuelectenerg-494 168 33 along along ADP fuelectenerg-494 168 34 with with ADP fuelectenerg-494 168 35 the the DET fuelectenerg-494 168 36 comparison comparison NOUN fuelectenerg-494 168 37 to to ADP fuelectenerg-494 168 38 the the DET fuelectenerg-494 168 39 encoders encoder NOUN fuelectenerg-494 168 40 presented present VERB fuelectenerg-494 168 41 in in ADP fuelectenerg-494 168 42 [ [ X fuelectenerg-494 168 43 15 15 NUM fuelectenerg-494 168 44 ] ] PUNCT fuelectenerg-494 168 45 are be AUX fuelectenerg-494 168 46 given give VERB fuelectenerg-494 168 47 . . PUNCT fuelectenerg-494 169 1 the the DET fuelectenerg-494 169 2 encoder encoder NOUN fuelectenerg-494 169 3 architecture architecture NOUN fuelectenerg-494 169 4 shown show VERB fuelectenerg-494 169 5 in in ADP fuelectenerg-494 169 6 fig fig NOUN fuelectenerg-494 169 7 . . PUNCT fuelectenerg-494 170 1 3 3 NUM fuelectenerg-494 170 2 is be AUX fuelectenerg-494 170 3 based base VERB fuelectenerg-494 170 4 on on ADP fuelectenerg-494 170 5 equations equation NOUN fuelectenerg-494 170 6 ( ( PUNCT fuelectenerg-494 170 7 3 3 NUM fuelectenerg-494 170 8 ) ) PUNCT fuelectenerg-494 170 9 , , PUNCT fuelectenerg-494 170 10 ( ( PUNCT fuelectenerg-494 170 11 4 4 NUM fuelectenerg-494 170 12 ) ) PUNCT fuelectenerg-494 170 13 and and CCONJ fuelectenerg-494 170 14 ( ( PUNCT fuelectenerg-494 170 15 9 9 NUM fuelectenerg-494 170 16 ) ) PUNCT fuelectenerg-494 170 17 . . PUNCT fuelectenerg-494 171 1 csa csa PROPN fuelectenerg-494 171 2 with with ADP fuelectenerg-494 171 3 eac eac PROPN fuelectenerg-494 171 4 csa csa PROPN fuelectenerg-494 171 5 with with ADP fuelectenerg-494 171 6 eaic eaic ADJ fuelectenerg-494 171 7 cpa cpa PROPN fuelectenerg-494 171 8 cpa cpa PROPN fuelectenerg-494 171 9 c c PROPN fuelectenerg-494 171 10 cs cs PROPN fuelectenerg-494 171 11 sn sn PROPN fuelectenerg-494 171 12 nn nn PROPN fuelectenerg-494 171 13 n n PROPN fuelectenerg-494 171 14 1 1 NUM fuelectenerg-494 171 15 0 0 NUM fuelectenerg-494 171 16 sw sw PROPN fuelectenerg-494 171 17 + + CCONJ fuelectenerg-494 171 18 dcout dcout PROPN fuelectenerg-494 171 19 cout cout NOUN fuelectenerg-494 171 20 cin cin PROPN fuelectenerg-494 171 21 = = SYM fuelectenerg-494 171 22 1 1 NUM fuelectenerg-494 171 23 decrementer decrementer NOUN fuelectenerg-494 171 24 selection selection NOUN fuelectenerg-494 171 25 network network NOUN fuelectenerg-494 171 26 n2 n2 PROPN fuelectenerg-494 171 27 n1 n1 PROPN fuelectenerg-494 171 28 n0 n0 PROPN fuelectenerg-494 171 29 n n CCONJ fuelectenerg-494 171 30 n n CCONJ fuelectenerg-494 171 31 n n CCONJ fuelectenerg-494 171 32 x1 x1 PROPN fuelectenerg-494 171 33 n n CCONJ fuelectenerg-494 171 34 x3 x3 ADJ fuelectenerg-494 171 35 or or CCONJ fuelectenerg-494 171 36 x′3 x′3 NOUN fuelectenerg-494 172 1 n+1 n+1 NUM fuelectenerg-494 172 2 x2 x2 PROPN fuelectenerg-494 172 3 fig fig NOUN fuelectenerg-494 172 4 . . PUNCT fuelectenerg-494 173 1 3 3 X fuelectenerg-494 173 2 . . X fuelectenerg-494 173 3 the the DET fuelectenerg-494 173 4 architecture architecture NOUN fuelectenerg-494 173 5 of of ADP fuelectenerg-494 173 6 the the DET fuelectenerg-494 173 7 new new ADJ fuelectenerg-494 173 8 binary binary NOUN fuelectenerg-494 173 9 to to ADP fuelectenerg-494 173 10 residues residue NOUN fuelectenerg-494 173 11 encoder encoder NOUN fuelectenerg-494 173 12 for for ADP fuelectenerg-494 173 13 moduli modulus NOUN fuelectenerg-494 173 14 set set VERB fuelectenerg-494 173 15 { { PUNCT fuelectenerg-494 173 16 2n 2n NUM fuelectenerg-494 173 17 −1,2n,2n −1,2n,2n PROPN fuelectenerg-494 173 18 +1 +1 PROPN fuelectenerg-494 173 19 } } PUNCT fuelectenerg-494 173 20 with with ADP fuelectenerg-494 173 21 embedded embed VERB fuelectenerg-494 173 22 diminished-1 diminished-1 NUM fuelectenerg-494 173 23 channel channel NOUN fuelectenerg-494 173 24 the the DET fuelectenerg-494 173 25 carry carry NOUN fuelectenerg-494 173 26 save save NOUN fuelectenerg-494 173 27 adder adder NOUN fuelectenerg-494 173 28 with with ADP fuelectenerg-494 173 29 the the DET fuelectenerg-494 173 30 end end NOUN fuelectenerg-494 173 31 around around ADP fuelectenerg-494 173 32 carry carry NOUN fuelectenerg-494 173 33 , , PUNCT fuelectenerg-494 173 34 which which PRON fuelectenerg-494 173 35 is be AUX fuelectenerg-494 173 36 an an DET fuelectenerg-494 173 37 adder adder NOUN fuelectenerg-494 173 38 on on ADP fuelectenerg-494 173 39 whose whose DET fuelectenerg-494 173 40 inputs input NOUN fuelectenerg-494 173 41 three three NUM fuelectenerg-494 173 42 n n CCONJ fuelectenerg-494 173 43 - - PUNCT fuelectenerg-494 173 44 bit bit NOUN fuelectenerg-494 173 45 operands operand NOUN fuelectenerg-494 173 46 are be AUX fuelectenerg-494 173 47 connected connect VERB fuelectenerg-494 173 48 , , PUNCT fuelectenerg-494 173 49 followed follow VERB fuelectenerg-494 173 50 by by ADP fuelectenerg-494 173 51 the the DET fuelectenerg-494 173 52 decrementer decrementer NOUN fuelectenerg-494 173 53 is be AUX fuelectenerg-494 173 54 used use VERB fuelectenerg-494 173 55 for for ADP fuelectenerg-494 173 56 the the DET fuelectenerg-494 173 57 modulo modulo ADJ fuelectenerg-494 173 58 2n 2n NUM fuelectenerg-494 173 59 −1 −1 NOUN fuelectenerg-494 173 60 channel channel NOUN fuelectenerg-494 173 61 . . PUNCT fuelectenerg-494 174 1 108 108 NUM fuelectenerg-494 174 2 i. i. NOUN fuelectenerg-494 174 3 krstić krstić PROPN fuelectenerg-494 174 4 , , PUNCT fuelectenerg-494 174 5 n. n. PROPN fuelectenerg-494 174 6 stamenković stamenković PROPN fuelectenerg-494 174 7 , , PUNCT fuelectenerg-494 174 8 v. v. ADP fuelectenerg-494 174 9 stojanović stojanović PROPN fuelectenerg-494 174 10 binary binary PROPN fuelectenerg-494 174 11 to to ADP fuelectenerg-494 174 12 rns rn NOUN fuelectenerg-494 174 13 encoder encoder NOUN fuelectenerg-494 174 14 with with ADP fuelectenerg-494 174 15 diminished-1 diminished-1 NUM fuelectenerg-494 174 16 encoded encode VERB fuelectenerg-494 174 17 channel channel NOUN fuelectenerg-494 174 18 109 109 NUM fuelectenerg-494 174 19 binary binary NOUN fuelectenerg-494 174 20 to to ADP fuelectenerg-494 174 21 rns rn NOUN fuelectenerg-494 174 22 encoder encoder NOUN fuelectenerg-494 174 23 with with ADP fuelectenerg-494 174 24 diminished-1 diminished-1 NUM fuelectenerg-494 174 25 encoded encode VERB fuelectenerg-494 174 26 channel channel NOUN fuelectenerg-494 174 27 9 9 NUM fuelectenerg-494 174 28 by by ADP fuelectenerg-494 174 29 using use VERB fuelectenerg-494 174 30 the the DET fuelectenerg-494 174 31 switch switch NOUN fuelectenerg-494 174 32 sw sw PROPN fuelectenerg-494 174 33 the the DET fuelectenerg-494 174 34 modulo modulo PROPN fuelectenerg-494 174 35 2n 2n ADJ fuelectenerg-494 174 36 +1 +1 ADJ fuelectenerg-494 174 37 channel channel NOUN fuelectenerg-494 174 38 in in ADP fuelectenerg-494 174 39 the the DET fuelectenerg-494 174 40 new new ADJ fuelectenerg-494 174 41 encoder encoder NOUN fuelectenerg-494 174 42 can can AUX fuelectenerg-494 174 43 yield yield VERB fuelectenerg-494 174 44 either either CCONJ fuelectenerg-494 174 45 the the DET fuelectenerg-494 174 46 modulo modulo ADJ fuelectenerg-494 174 47 2n 2n ADJ fuelectenerg-494 174 48 + + CCONJ fuelectenerg-494 174 49 1 1 NUM fuelectenerg-494 174 50 residue residue NOUN fuelectenerg-494 174 51 ( ( PUNCT fuelectenerg-494 174 52 x3 x3 ADJ fuelectenerg-494 174 53 ) ) PUNCT fuelectenerg-494 174 54 or or CCONJ fuelectenerg-494 174 55 the the DET fuelectenerg-494 174 56 modulo modulo ADJ fuelectenerg-494 174 57 2n 2n ADJ fuelectenerg-494 174 58 + + CCONJ fuelectenerg-494 174 59 1 1 NUM fuelectenerg-494 174 60 residue residue NOUN fuelectenerg-494 174 61 represented represent VERB fuelectenerg-494 174 62 in in ADP fuelectenerg-494 174 63 diminished-1 diminished-1 NUM fuelectenerg-494 174 64 number number NOUN fuelectenerg-494 174 65 system system NOUN fuelectenerg-494 174 66 ( ( PUNCT fuelectenerg-494 174 67 x′3 x′3 PROPN fuelectenerg-494 174 68 ) ) PUNCT fuelectenerg-494 174 69 , , PUNCT fuelectenerg-494 174 70 as as SCONJ fuelectenerg-494 174 71 illustrated illustrate VERB fuelectenerg-494 174 72 in in ADP fuelectenerg-494 174 73 fig fig NOUN fuelectenerg-494 174 74 . . PUNCT fuelectenerg-494 175 1 3 3 X fuelectenerg-494 175 2 . . X fuelectenerg-494 175 3 if if SCONJ fuelectenerg-494 175 4 the the DET fuelectenerg-494 175 5 carry carry VERB fuelectenerg-494 175 6 input input NOUN fuelectenerg-494 175 7 of of ADP fuelectenerg-494 175 8 the the DET fuelectenerg-494 175 9 cpa cpa NOUN fuelectenerg-494 175 10 is be AUX fuelectenerg-494 175 11 equal equal ADJ fuelectenerg-494 175 12 to to ADP fuelectenerg-494 175 13 1 1 NUM fuelectenerg-494 175 14 ( ( PUNCT fuelectenerg-494 175 15 sw sw PROPN fuelectenerg-494 175 16 in in ADP fuelectenerg-494 175 17 upper upper ADJ fuelectenerg-494 175 18 position position NOUN fuelectenerg-494 175 19 ) ) PUNCT fuelectenerg-494 175 20 the the DET fuelectenerg-494 175 21 output output NOUN fuelectenerg-494 175 22 of of ADP fuelectenerg-494 175 23 modulo modulo NOUN fuelectenerg-494 175 24 ( ( PUNCT fuelectenerg-494 175 25 2n 2n NUM fuelectenerg-494 175 26 +1 +1 ADJ fuelectenerg-494 175 27 ) ) PUNCT fuelectenerg-494 175 28 channel channel NOUN fuelectenerg-494 175 29 is be AUX fuelectenerg-494 175 30 equal equal ADJ fuelectenerg-494 175 31 to to PART fuelectenerg-494 175 32 x3 x3 VERB fuelectenerg-494 175 33 . . PUNCT fuelectenerg-494 176 1 on on ADP fuelectenerg-494 176 2 the the DET fuelectenerg-494 176 3 other other ADJ fuelectenerg-494 176 4 side side NOUN fuelectenerg-494 176 5 , , PUNCT fuelectenerg-494 176 6 if if SCONJ fuelectenerg-494 176 7 the the DET fuelectenerg-494 176 8 carry carry VERB fuelectenerg-494 176 9 input input NOUN fuelectenerg-494 176 10 of of ADP fuelectenerg-494 176 11 the the DET fuelectenerg-494 176 12 cpa cpa NOUN fuelectenerg-494 176 13 is be AUX fuelectenerg-494 176 14 equal equal ADJ fuelectenerg-494 176 15 to to ADP fuelectenerg-494 176 16 0 0 NUM fuelectenerg-494 176 17 ( ( PUNCT fuelectenerg-494 176 18 sw sw PROPN fuelectenerg-494 176 19 in in ADP fuelectenerg-494 176 20 lower low ADJ fuelectenerg-494 176 21 position position NOUN fuelectenerg-494 176 22 ) ) PUNCT fuelectenerg-494 176 23 the the DET fuelectenerg-494 176 24 output output NOUN fuelectenerg-494 176 25 of of ADP fuelectenerg-494 176 26 the the DET fuelectenerg-494 176 27 modulo modulo NOUN fuelectenerg-494 176 28 2n 2n ADJ fuelectenerg-494 176 29 + + CCONJ fuelectenerg-494 176 30 1 1 NUM fuelectenerg-494 176 31 channel channel NOUN fuelectenerg-494 176 32 is be AUX fuelectenerg-494 176 33 equal equal ADJ fuelectenerg-494 176 34 to to ADP fuelectenerg-494 176 35 the the DET fuelectenerg-494 176 36 modulo modulo ADJ fuelectenerg-494 176 37 2n 2n ADJ fuelectenerg-494 176 38 +1 +1 ADJ fuelectenerg-494 176 39 residue residue NOUN fuelectenerg-494 176 40 in in ADP fuelectenerg-494 176 41 diminished-1 diminished-1 NUM fuelectenerg-494 176 42 representation representation NOUN fuelectenerg-494 176 43 denoted denote VERB fuelectenerg-494 176 44 as as ADP fuelectenerg-494 176 45 x′3 x′3 PROPN fuelectenerg-494 176 46 . . PUNCT fuelectenerg-494 177 1 as as SCONJ fuelectenerg-494 177 2 is be AUX fuelectenerg-494 177 3 shown show VERB fuelectenerg-494 177 4 in in ADP fuelectenerg-494 177 5 figure figure NOUN fuelectenerg-494 177 6 3 3 NUM fuelectenerg-494 177 7 , , PUNCT fuelectenerg-494 177 8 the the DET fuelectenerg-494 177 9 cpa cpa NOUN fuelectenerg-494 177 10 is be AUX fuelectenerg-494 177 11 critical critical ADJ fuelectenerg-494 177 12 element element NOUN fuelectenerg-494 177 13 in in ADP fuelectenerg-494 177 14 the the DET fuelectenerg-494 177 15 both both DET fuelectenerg-494 177 16 modulo modulo NOUN fuelectenerg-494 177 17 ( ( PUNCT fuelectenerg-494 177 18 2n−1 2n−1 NUM fuelectenerg-494 177 19 ) ) PUNCT fuelectenerg-494 177 20 and and CCONJ fuelectenerg-494 177 21 modulo modulo PROPN fuelectenerg-494 177 22 ( ( PUNCT fuelectenerg-494 177 23 2n 2n ADJ fuelectenerg-494 177 24 + + CCONJ fuelectenerg-494 177 25 1 1 X fuelectenerg-494 177 26 ) ) PUNCT fuelectenerg-494 177 27 residue residue NOUN fuelectenerg-494 177 28 generator generator NOUN fuelectenerg-494 177 29 data datum NOUN fuelectenerg-494 177 30 paths path NOUN fuelectenerg-494 177 31 . . PUNCT fuelectenerg-494 178 1 the the DET fuelectenerg-494 178 2 encoder encoder NOUN fuelectenerg-494 178 3 performance performance NOUN fuelectenerg-494 178 4 can can AUX fuelectenerg-494 178 5 be be AUX fuelectenerg-494 178 6 increased increase VERB fuelectenerg-494 178 7 if if SCONJ fuelectenerg-494 178 8 the the DET fuelectenerg-494 178 9 cpa cpa NOUN fuelectenerg-494 178 10 is be AUX fuelectenerg-494 178 11 replaced replace VERB fuelectenerg-494 178 12 with with ADP fuelectenerg-494 178 13 parallel parallel ADJ fuelectenerg-494 178 14 prefix prefix NOUN fuelectenerg-494 178 15 adder adder NOUN fuelectenerg-494 178 16 . . PUNCT fuelectenerg-494 179 1 in in ADP fuelectenerg-494 179 2 the the DET fuelectenerg-494 179 3 vlsi vlsi PROPN fuelectenerg-494 179 4 implementation implementation NOUN fuelectenerg-494 179 5 , , PUNCT fuelectenerg-494 179 6 the the DET fuelectenerg-494 179 7 parallel parallel ADJ fuelectenerg-494 179 8 - - PUNCT fuelectenerg-494 179 9 prefix prefix NOUN fuelectenerg-494 179 10 adders adder NOUN fuelectenerg-494 179 11 ( ( PUNCT fuelectenerg-494 179 12 or or CCONJ fuelectenerg-494 179 13 carry carry VERB fuelectenerg-494 179 14 - - PUNCT fuelectenerg-494 179 15 tree tree NOUN fuelectenerg-494 179 16 adders adder NOUN fuelectenerg-494 179 17 ) ) PUNCT fuelectenerg-494 179 18 are be AUX fuelectenerg-494 179 19 known know VERB fuelectenerg-494 179 20 to to PART fuelectenerg-494 179 21 have have VERB fuelectenerg-494 179 22 the the DET fuelectenerg-494 179 23 best good ADJ fuelectenerg-494 179 24 performance performance NOUN fuelectenerg-494 180 1 [ [ X fuelectenerg-494 180 2 23 23 NUM fuelectenerg-494 180 3 ] ] PUNCT fuelectenerg-494 180 4 . . PUNCT fuelectenerg-494 181 1 however however ADV fuelectenerg-494 181 2 , , PUNCT fuelectenerg-494 181 3 this this DET fuelectenerg-494 181 4 performance performance NOUN fuelectenerg-494 181 5 advantage advantage NOUN fuelectenerg-494 181 6 does do AUX fuelectenerg-494 181 7 not not PART fuelectenerg-494 181 8 translate translate VERB fuelectenerg-494 181 9 directly directly ADV fuelectenerg-494 181 10 into into ADP fuelectenerg-494 181 11 an an DET fuelectenerg-494 181 12 fpga fpga NOUN fuelectenerg-494 181 13 chip chip NOUN fuelectenerg-494 181 14 due due ADP fuelectenerg-494 181 15 to to ADP fuelectenerg-494 181 16 constraints constraint NOUN fuelectenerg-494 181 17 on on ADP fuelectenerg-494 181 18 the the DET fuelectenerg-494 181 19 logic logic NOUN fuelectenerg-494 181 20 block block NOUN fuelectenerg-494 181 21 configurations configuration NOUN fuelectenerg-494 181 22 and and CCONJ fuelectenerg-494 181 23 routing route VERB fuelectenerg-494 181 24 overhead overhead NOUN fuelectenerg-494 181 25 . . PUNCT fuelectenerg-494 182 1 an an DET fuelectenerg-494 182 2 fpga fpga PROPN fuelectenerg-494 182 3 chip chip NOUN fuelectenerg-494 182 4 , , PUNCT fuelectenerg-494 182 5 such such ADJ fuelectenerg-494 182 6 as as ADP fuelectenerg-494 182 7 the the DET fuelectenerg-494 182 8 virtex-6 virtex-6 PROPN fuelectenerg-494 182 9 , , PUNCT fuelectenerg-494 182 10 contains contain VERB fuelectenerg-494 182 11 the the DET fuelectenerg-494 182 12 number number NOUN fuelectenerg-494 182 13 of of ADP fuelectenerg-494 182 14 slices slice NOUN fuelectenerg-494 182 15 , , PUNCT fuelectenerg-494 182 16 each each PRON fuelectenerg-494 182 17 containing contain VERB fuelectenerg-494 182 18 a a DET fuelectenerg-494 182 19 number number NOUN fuelectenerg-494 182 20 of of ADP fuelectenerg-494 182 21 multiplexers multiplexer NOUN fuelectenerg-494 182 22 , , PUNCT fuelectenerg-494 182 23 look look VERB fuelectenerg-494 182 24 - - PUNCT fuelectenerg-494 182 25 up up ADP fuelectenerg-494 182 26 tables table NOUN fuelectenerg-494 182 27 , , PUNCT fuelectenerg-494 182 28 logic logic NOUN fuelectenerg-494 182 29 gates gate NOUN fuelectenerg-494 182 30 , , PUNCT fuelectenerg-494 182 31 flip flip NOUN fuelectenerg-494 182 32 - - PUNCT fuelectenerg-494 182 33 flops flop NOUN fuelectenerg-494 182 34 , , PUNCT fuelectenerg-494 182 35 etc etc X fuelectenerg-494 182 36 . . X fuelectenerg-494 183 1 the the DET fuelectenerg-494 183 2 parallel parallel ADJ fuelectenerg-494 183 3 - - PUNCT fuelectenerg-494 183 4 prefix prefix NOUN fuelectenerg-494 183 5 adder adder NOUN fuelectenerg-494 183 6 implementation implementation NOUN fuelectenerg-494 183 7 on on ADP fuelectenerg-494 183 8 an an DET fuelectenerg-494 183 9 fpga fpga NOUN fuelectenerg-494 183 10 chip chip NOUN fuelectenerg-494 183 11 is be AUX fuelectenerg-494 183 12 given give VERB fuelectenerg-494 183 13 in in ADP fuelectenerg-494 183 14 [ [ X fuelectenerg-494 183 15 24 24 NUM fuelectenerg-494 183 16 ] ] PUNCT fuelectenerg-494 183 17 . . PUNCT fuelectenerg-494 184 1 however however ADV fuelectenerg-494 184 2 , , PUNCT fuelectenerg-494 184 3 the the DET fuelectenerg-494 184 4 implementations implementation NOUN fuelectenerg-494 184 5 of of ADP fuelectenerg-494 184 6 the the DET fuelectenerg-494 184 7 binary binary NOUN fuelectenerg-494 184 8 to to ADP fuelectenerg-494 184 9 residues residue NOUN fuelectenerg-494 184 10 encoder encoder NOUN fuelectenerg-494 184 11 based base VERB fuelectenerg-494 184 12 on on ADP fuelectenerg-494 184 13 the the DET fuelectenerg-494 184 14 parallel parallel ADJ fuelectenerg-494 184 15 - - PUNCT fuelectenerg-494 184 16 prefix prefix NOUN fuelectenerg-494 184 17 adders adder NOUN fuelectenerg-494 184 18 can can AUX fuelectenerg-494 184 19 lead lead VERB fuelectenerg-494 184 20 to to ADP fuelectenerg-494 184 21 the the DET fuelectenerg-494 184 22 higher high ADJ fuelectenerg-494 184 23 hardware hardware NOUN fuelectenerg-494 184 24 cost cost NOUN fuelectenerg-494 184 25 and and CCONJ fuelectenerg-494 184 26 consequently consequently ADV fuelectenerg-494 184 27 considerable considerable ADJ fuelectenerg-494 184 28 the the DET fuelectenerg-494 184 29 power power NOUN fuelectenerg-494 184 30 dissipation dissipation NOUN fuelectenerg-494 184 31 in in ADP fuelectenerg-494 184 32 comparison comparison NOUN fuelectenerg-494 184 33 to to ADP fuelectenerg-494 184 34 the the DET fuelectenerg-494 184 35 carry carry NOUN fuelectenerg-494 184 36 propagate propagate NOUN fuelectenerg-494 184 37 based base VERB fuelectenerg-494 184 38 architectures architecture NOUN fuelectenerg-494 184 39 . . PUNCT fuelectenerg-494 185 1 since since SCONJ fuelectenerg-494 185 2 the the DET fuelectenerg-494 185 3 residues residue NOUN fuelectenerg-494 185 4 are be AUX fuelectenerg-494 185 5 computed compute VERB fuelectenerg-494 185 6 in in ADP fuelectenerg-494 185 7 parallel parallel NOUN fuelectenerg-494 185 8 , , PUNCT fuelectenerg-494 185 9 the the DET fuelectenerg-494 185 10 propagation propagation NOUN fuelectenerg-494 185 11 delay delay NOUN fuelectenerg-494 185 12 of of ADP fuelectenerg-494 185 13 binary binary NOUN fuelectenerg-494 185 14 to to ADP fuelectenerg-494 185 15 residues residue NOUN fuelectenerg-494 185 16 encoder encoder NOUN fuelectenerg-494 185 17 is be AUX fuelectenerg-494 185 18 t t NOUN fuelectenerg-494 185 19 = = SYM fuelectenerg-494 185 20 max(t1,t3 max(t1,t3 PROPN fuelectenerg-494 185 21 ) ) PUNCT fuelectenerg-494 185 22 . . PUNCT fuelectenerg-494 186 1 that that PRON fuelectenerg-494 186 2 is be AUX fuelectenerg-494 186 3 , , PUNCT fuelectenerg-494 186 4 if if SCONJ fuelectenerg-494 186 5 n n CCONJ fuelectenerg-494 186 6 < < X fuelectenerg-494 186 7 6 6 NUM fuelectenerg-494 186 8 , , PUNCT fuelectenerg-494 186 9 t t NOUN fuelectenerg-494 186 10 = = SYM fuelectenerg-494 186 11 2n+10 2n+10 NOUN fuelectenerg-494 186 12 , , PUNCT fuelectenerg-494 186 13 else else ADV fuelectenerg-494 186 14 t t NOUN fuelectenerg-494 187 1 = = SYM fuelectenerg-494 187 2 3n+4 3n+4 PROPN fuelectenerg-494 187 3 . . PUNCT fuelectenerg-494 188 1 the the DET fuelectenerg-494 188 2 area area NOUN fuelectenerg-494 188 3 cost cost NOUN fuelectenerg-494 188 4 of of ADP fuelectenerg-494 188 5 binary binary NOUN fuelectenerg-494 188 6 to to ADP fuelectenerg-494 188 7 residues residue NOUN fuelectenerg-494 188 8 encoder encoder NOUN fuelectenerg-494 188 9 is be AUX fuelectenerg-494 188 10 a a DET fuelectenerg-494 188 11 = = NOUN fuelectenerg-494 188 12 a1 a1 NOUN fuelectenerg-494 188 13 + + NOUN fuelectenerg-494 188 14 a3 a3 NOUN fuelectenerg-494 188 15 = = SYM fuelectenerg-494 188 16 35n−5 35n−5 NUM fuelectenerg-494 188 17 . . PUNCT fuelectenerg-494 189 1 the the DET fuelectenerg-494 189 2 presented present VERB fuelectenerg-494 189 3 algorithms algorithm NOUN fuelectenerg-494 189 4 were be AUX fuelectenerg-494 189 5 used use VERB fuelectenerg-494 189 6 for for ADP fuelectenerg-494 189 7 the the DET fuelectenerg-494 189 8 description description NOUN fuelectenerg-494 189 9 of of ADP fuelectenerg-494 189 10 proposed propose VERB fuelectenerg-494 189 11 binary binary NOUN fuelectenerg-494 189 12 to to ADP fuelectenerg-494 189 13 residues residue NOUN fuelectenerg-494 189 14 encoder encoder NOUN fuelectenerg-494 189 15 in in ADP fuelectenerg-494 189 16 the the DET fuelectenerg-494 189 17 vhdl vhdl PROPN fuelectenerg-494 189 18 hardware hardware NOUN fuelectenerg-494 189 19 programming programming NOUN fuelectenerg-494 189 20 language language NOUN fuelectenerg-494 189 21 . . PUNCT fuelectenerg-494 190 1 complete complete ADJ fuelectenerg-494 190 2 design design NOUN fuelectenerg-494 190 3 was be AUX fuelectenerg-494 190 4 implemented implement VERB fuelectenerg-494 190 5 on on ADP fuelectenerg-494 190 6 the the DET fuelectenerg-494 190 7 virtex virtex PROPN fuelectenerg-494 190 8 6 6 NUM fuelectenerg-494 190 9 xc6vcx75 xc6vcx75 PROPN fuelectenerg-494 190 10 t t PROPN fuelectenerg-494 190 11 fpga fpga PROPN fuelectenerg-494 190 12 chip chip NOUN fuelectenerg-494 190 13 using use VERB fuelectenerg-494 190 14 xilinx xilinx PROPN fuelectenerg-494 190 15 ise ise PROPN fuelectenerg-494 190 16 design design PROPN fuelectenerg-494 190 17 suite suite NOUN fuelectenerg-494 190 18 14.2 14.2 NUM fuelectenerg-494 190 19 while while SCONJ fuelectenerg-494 190 20 behavioral behavioral ADJ fuelectenerg-494 190 21 and and CCONJ fuelectenerg-494 190 22 post post ADJ fuelectenerg-494 190 23 - - ADJ fuelectenerg-494 190 24 route route ADJ fuelectenerg-494 190 25 simulation simulation NOUN fuelectenerg-494 190 26 of of ADP fuelectenerg-494 190 27 implemented implement VERB fuelectenerg-494 190 28 encoder encoder NOUN fuelectenerg-494 190 29 was be AUX fuelectenerg-494 190 30 performed perform VERB fuelectenerg-494 190 31 using use VERB fuelectenerg-494 190 32 isim isim ADJ fuelectenerg-494 190 33 simulator simulator NOUN fuelectenerg-494 190 34 . . PUNCT fuelectenerg-494 191 1 the the DET fuelectenerg-494 191 2 exact exact ADJ fuelectenerg-494 191 3 values value NOUN fuelectenerg-494 191 4 of of ADP fuelectenerg-494 191 5 the the DET fuelectenerg-494 191 6 area area NOUN fuelectenerg-494 191 7 cost cost NOUN fuelectenerg-494 191 8 and and CCONJ fuelectenerg-494 191 9 propagation propagation NOUN fuelectenerg-494 191 10 delay delay NOUN fuelectenerg-494 191 11 which which PRON fuelectenerg-494 191 12 relate relate VERB fuelectenerg-494 191 13 to to ADP fuelectenerg-494 191 14 the the DET fuelectenerg-494 191 15 asic asic NOUN fuelectenerg-494 191 16 and and CCONJ fuelectenerg-494 191 17 the the DET fuelectenerg-494 191 18 fpga fpga NOUN fuelectenerg-494 191 19 - - PUNCT fuelectenerg-494 191 20 based base VERB fuelectenerg-494 191 21 implementations implementation NOUN fuelectenerg-494 191 22 of of ADP fuelectenerg-494 191 23 the the DET fuelectenerg-494 191 24 presented present VERB fuelectenerg-494 191 25 encoder encoder NOUN fuelectenerg-494 191 26 architecture architecture NOUN fuelectenerg-494 191 27 for for ADP fuelectenerg-494 191 28 different different ADJ fuelectenerg-494 191 29 values value NOUN fuelectenerg-494 191 30 of of ADP fuelectenerg-494 191 31 n n CCONJ fuelectenerg-494 191 32 , , PUNCT fuelectenerg-494 191 33 along along ADP fuelectenerg-494 191 34 with with ADP fuelectenerg-494 191 35 the the DET fuelectenerg-494 191 36 comparison comparison NOUN fuelectenerg-494 191 37 to to ADP fuelectenerg-494 191 38 architectures architecture NOUN fuelectenerg-494 191 39 presented present VERB fuelectenerg-494 191 40 in in ADP fuelectenerg-494 191 41 [ [ X fuelectenerg-494 191 42 15 15 NUM fuelectenerg-494 191 43 ] ] PUNCT fuelectenerg-494 191 44 , , PUNCT fuelectenerg-494 191 45 are be AUX fuelectenerg-494 191 46 shown show VERB fuelectenerg-494 191 47 in in ADP fuelectenerg-494 191 48 tables table NOUN fuelectenerg-494 191 49 1 1 NUM fuelectenerg-494 191 50 and and CCONJ fuelectenerg-494 191 51 2 2 NUM fuelectenerg-494 191 52 . . NOUN fuelectenerg-494 191 53 table table NOUN fuelectenerg-494 191 54 1 1 NUM fuelectenerg-494 191 55 . . PUNCT fuelectenerg-494 192 1 asic asic NOUN fuelectenerg-494 192 2 implementation implementation NOUN fuelectenerg-494 192 3 performance performance NOUN fuelectenerg-494 192 4 comparison comparison NOUN fuelectenerg-494 192 5 design design NOUN fuelectenerg-494 192 6 delay delay NOUN fuelectenerg-494 192 7 area area NOUN fuelectenerg-494 192 8 encoder encoder NOUN fuelectenerg-494 192 9 [ [ X fuelectenerg-494 192 10 15 15 NUM fuelectenerg-494 192 11 ] ] X fuelectenerg-494 192 12 3n+5 3n+5 PROPN fuelectenerg-494 192 13 34n 34n NUM fuelectenerg-494 192 14 encoder encoder NOUN fuelectenerg-494 192 15 with with ADP fuelectenerg-494 192 16 d-1 d-1 NOUN fuelectenerg-494 192 17 channel channel PROPN fuelectenerg-494 192 18 [ [ X fuelectenerg-494 192 19 15 15 NUM fuelectenerg-494 192 20 ] ] X fuelectenerg-494 192 21 max(2n+12,3n+5 max(2n+12,3n+5 PROPN fuelectenerg-494 192 22 ) ) PUNCT fuelectenerg-494 192 23 37n+7 37n+7 NUM fuelectenerg-494 192 24 new new ADJ fuelectenerg-494 192 25 encoder encoder NOUN fuelectenerg-494 192 26 max(2n+10,3n+4 max(2n+10,3n+4 PROPN fuelectenerg-494 192 27 ) ) PUNCT fuelectenerg-494 192 28 35n−5 35n−5 NUM fuelectenerg-494 192 29 the the DET fuelectenerg-494 192 30 encoder encoder NOUN fuelectenerg-494 192 31 shown show VERB fuelectenerg-494 192 32 in in ADP fuelectenerg-494 192 33 fig fig NOUN fuelectenerg-494 192 34 . . PUNCT fuelectenerg-494 193 1 3 3 NUM fuelectenerg-494 193 2 can can AUX fuelectenerg-494 193 3 perform perform VERB fuelectenerg-494 193 4 the the DET fuelectenerg-494 193 5 operation operation NOUN fuelectenerg-494 193 6 of of ADP fuelectenerg-494 193 7 the the DET fuelectenerg-494 193 8 both both PRON fuelectenerg-494 193 9 encoders encoder NOUN fuelectenerg-494 193 10 110 110 NUM fuelectenerg-494 193 11 i. i. NOUN fuelectenerg-494 193 12 krstić krstić PROPN fuelectenerg-494 193 13 , , PUNCT fuelectenerg-494 193 14 n. n. PROPN fuelectenerg-494 193 15 stamenković stamenković PROPN fuelectenerg-494 193 16 , , PUNCT fuelectenerg-494 193 17 v. v. ADP fuelectenerg-494 193 18 stojanović stojanović PROPN fuelectenerg-494 193 19 binary binary PROPN fuelectenerg-494 193 20 to to ADP fuelectenerg-494 193 21 rns rn NOUN fuelectenerg-494 193 22 encoder encoder NOUN fuelectenerg-494 193 23 with with ADP fuelectenerg-494 193 24 diminished-1 diminished-1 NUM fuelectenerg-494 193 25 encoded encode VERB fuelectenerg-494 193 26 channel channel NOUN fuelectenerg-494 193 27 111 111 NUM fuelectenerg-494 193 28 10 10 NUM fuelectenerg-494 193 29 i. i. PROPN fuelectenerg-494 193 30 krstić krstić PROPN fuelectenerg-494 193 31 , , PUNCT fuelectenerg-494 193 32 n. n. PROPN fuelectenerg-494 193 33 stamenković stamenković PROPN fuelectenerg-494 193 34 and and CCONJ fuelectenerg-494 193 35 v. v. ADP fuelectenerg-494 193 36 stojanović stojanović ADJ fuelectenerg-494 193 37 : : PUNCT fuelectenerg-494 193 38 presented present VERB fuelectenerg-494 193 39 in in ADP fuelectenerg-494 193 40 [ [ X fuelectenerg-494 193 41 15 15 NUM fuelectenerg-494 193 42 ] ] PUNCT fuelectenerg-494 193 43 . . PUNCT fuelectenerg-494 194 1 as as SCONJ fuelectenerg-494 194 2 can can AUX fuelectenerg-494 194 3 be be AUX fuelectenerg-494 194 4 seen see VERB fuelectenerg-494 194 5 from from ADP fuelectenerg-494 194 6 table table NOUN fuelectenerg-494 194 7 1 1 NUM fuelectenerg-494 194 8 there there PRON fuelectenerg-494 194 9 is be VERB fuelectenerg-494 194 10 no no DET fuelectenerg-494 194 11 significant significant ADJ fuelectenerg-494 194 12 propagation propagation NOUN fuelectenerg-494 194 13 delay delay NOUN fuelectenerg-494 194 14 improvement improvement NOUN fuelectenerg-494 194 15 if if SCONJ fuelectenerg-494 194 16 the the DET fuelectenerg-494 194 17 asic asic ADJ fuelectenerg-494 194 18 implementation implementation NOUN fuelectenerg-494 194 19 is be AUX fuelectenerg-494 194 20 considered consider VERB fuelectenerg-494 194 21 . . PUNCT fuelectenerg-494 195 1 however however ADV fuelectenerg-494 195 2 , , PUNCT fuelectenerg-494 195 3 the the DET fuelectenerg-494 195 4 increase increase NOUN fuelectenerg-494 195 5 of of ADP fuelectenerg-494 195 6 performance performance NOUN fuelectenerg-494 195 7 regarding regard VERB fuelectenerg-494 195 8 area area NOUN fuelectenerg-494 195 9 consumption consumption NOUN fuelectenerg-494 195 10 is be AUX fuelectenerg-494 195 11 significant significant ADJ fuelectenerg-494 195 12 in in ADP fuelectenerg-494 195 13 comparison comparison NOUN fuelectenerg-494 195 14 to to ADP fuelectenerg-494 195 15 the the DET fuelectenerg-494 195 16 encoder encoder NOUN fuelectenerg-494 195 17 with with ADP fuelectenerg-494 195 18 the the DET fuelectenerg-494 195 19 modulo modulo ADJ fuelectenerg-494 195 20 2n 2n ADJ fuelectenerg-494 195 21 +1 +1 ADJ fuelectenerg-494 195 22 residue residue NOUN fuelectenerg-494 195 23 in in ADP fuelectenerg-494 195 24 the the DET fuelectenerg-494 195 25 diminished-1 diminished-1 NUM fuelectenerg-494 195 26 number number NOUN fuelectenerg-494 195 27 system system NOUN fuelectenerg-494 195 28 representation representation NOUN fuelectenerg-494 195 29 . . PUNCT fuelectenerg-494 196 1 table table NOUN fuelectenerg-494 196 2 2 2 NUM fuelectenerg-494 196 3 . . PUNCT fuelectenerg-494 197 1 fpga fpga PROPN fuelectenerg-494 197 2 implementation implementation NOUN fuelectenerg-494 197 3 propagation propagation NOUN fuelectenerg-494 197 4 delay delay NOUN fuelectenerg-494 197 5 [ [ X fuelectenerg-494 197 6 ns ns ADP fuelectenerg-494 197 7 ] ] X fuelectenerg-494 197 8 / / SYM fuelectenerg-494 197 9 area area NOUN fuelectenerg-494 197 10 consumption consumption NOUN fuelectenerg-494 198 1 [ [ X fuelectenerg-494 198 2 slices slice NOUN fuelectenerg-494 198 3 ] ] PUNCT fuelectenerg-494 198 4 n n DET fuelectenerg-494 198 5 encoder encoder NOUN fuelectenerg-494 198 6 [ [ X fuelectenerg-494 198 7 15 15 NUM fuelectenerg-494 198 8 ] ] PUNCT fuelectenerg-494 198 9 encoder encoder NOUN fuelectenerg-494 198 10 with with ADP fuelectenerg-494 198 11 d-1 d-1 PROPN fuelectenerg-494 198 12 channel channel PROPN fuelectenerg-494 198 13 [ [ X fuelectenerg-494 198 14 15 15 NUM fuelectenerg-494 198 15 ] ] X fuelectenerg-494 198 16 new new ADJ fuelectenerg-494 198 17 encoder encoder NOUN fuelectenerg-494 198 18 4 4 NUM fuelectenerg-494 198 19 4.072 4.072 NUM fuelectenerg-494 198 20 / / SYM fuelectenerg-494 198 21 28 28 NUM fuelectenerg-494 198 22 4.034 4.034 NUM fuelectenerg-494 198 23 / / SYM fuelectenerg-494 198 24 29 29 NUM fuelectenerg-494 198 25 3.885 3.885 NUM fuelectenerg-494 198 26 / / SYM fuelectenerg-494 198 27 31 31 NUM fuelectenerg-494 198 28 5 5 NUM fuelectenerg-494 198 29 4.962 4.962 NUM fuelectenerg-494 198 30 / / SYM fuelectenerg-494 198 31 36 36 NUM fuelectenerg-494 198 32 4.806 4.806 NUM fuelectenerg-494 198 33 / / SYM fuelectenerg-494 198 34 38 38 NUM fuelectenerg-494 198 35 4.529 4.529 NUM fuelectenerg-494 198 36 / / SYM fuelectenerg-494 198 37 41 41 NUM fuelectenerg-494 198 38 6 6 NUM fuelectenerg-494 198 39 6.238 6.238 NUM fuelectenerg-494 198 40 / / SYM fuelectenerg-494 198 41 45 45 NUM fuelectenerg-494 198 42 6.099 6.099 NUM fuelectenerg-494 198 43 / / SYM fuelectenerg-494 198 44 47 47 NUM fuelectenerg-494 198 45 5.370 5.370 NUM fuelectenerg-494 198 46 / / SYM fuelectenerg-494 198 47 48 48 NUM fuelectenerg-494 198 48 7 7 NUM fuelectenerg-494 198 49 7.012 7.012 NUM fuelectenerg-494 198 50 / / SYM fuelectenerg-494 198 51 52 52 NUM fuelectenerg-494 198 52 8.049 8.049 NUM fuelectenerg-494 198 53 / / SYM fuelectenerg-494 198 54 54 54 NUM fuelectenerg-494 198 55 6.500 6.500 NUM fuelectenerg-494 198 56 / / SYM fuelectenerg-494 198 57 58 58 NUM fuelectenerg-494 198 58 8 8 NUM fuelectenerg-494 198 59 4.463 4.463 NUM fuelectenerg-494 198 60 / / SYM fuelectenerg-494 198 61 74 74 NUM fuelectenerg-494 198 62 4.567 4.567 NUM fuelectenerg-494 198 63 / / SYM fuelectenerg-494 198 64 77 77 NUM fuelectenerg-494 198 65 4.618 4.618 NUM fuelectenerg-494 198 66 / / SYM fuelectenerg-494 198 67 77 77 NUM fuelectenerg-494 198 68 10 10 NUM fuelectenerg-494 198 69 5.535 5.535 NUM fuelectenerg-494 198 70 / / SYM fuelectenerg-494 198 71 90 90 NUM fuelectenerg-494 198 72 5.535 5.535 NUM fuelectenerg-494 198 73 / / SYM fuelectenerg-494 198 74 95 95 NUM fuelectenerg-494 198 75 5.563 5.563 NUM fuelectenerg-494 198 76 / / SYM fuelectenerg-494 198 77 96 96 NUM fuelectenerg-494 198 78 functional functional ADJ fuelectenerg-494 198 79 simulation simulation NOUN fuelectenerg-494 198 80 waveforms waveform NOUN fuelectenerg-494 198 81 of of ADP fuelectenerg-494 198 82 the the DET fuelectenerg-494 198 83 binary binary NOUN fuelectenerg-494 198 84 to to ADP fuelectenerg-494 198 85 residues residue NOUN fuelectenerg-494 198 86 encoder encoder NOUN fuelectenerg-494 198 87 based base VERB fuelectenerg-494 198 88 on on ADP fuelectenerg-494 198 89 moduli modulus NOUN fuelectenerg-494 198 90 set set VERB fuelectenerg-494 198 91 { { PUNCT fuelectenerg-494 198 92 63,64,65 63,64,65 NUM fuelectenerg-494 198 93 } } PUNCT fuelectenerg-494 198 94 with with ADP fuelectenerg-494 198 95 diminished-1 diminished-1 NUM fuelectenerg-494 198 96 encoded encode VERB fuelectenerg-494 198 97 channel channel NOUN fuelectenerg-494 198 98 are be AUX fuelectenerg-494 198 99 shown show VERB fuelectenerg-494 198 100 in in ADP fuelectenerg-494 198 101 fig fig NOUN fuelectenerg-494 198 102 . . PUNCT fuelectenerg-494 199 1 4 4 X fuelectenerg-494 199 2 . . X fuelectenerg-494 199 3 the the DET fuelectenerg-494 199 4 length length NOUN fuelectenerg-494 199 5 of of ADP fuelectenerg-494 199 6 the the DET fuelectenerg-494 199 7 input input NOUN fuelectenerg-494 199 8 string string NOUN fuelectenerg-494 199 9 x x PUNCT fuelectenerg-494 199 10 is be AUX fuelectenerg-494 199 11 18 18 NUM fuelectenerg-494 199 12 bits bit NOUN fuelectenerg-494 199 13 and and CCONJ fuelectenerg-494 199 14 it it PRON fuelectenerg-494 199 15 is be AUX fuelectenerg-494 199 16 sub sub ADJ fuelectenerg-494 199 17 - - VERB fuelectenerg-494 199 18 grouped group VERB fuelectenerg-494 199 19 into into ADP fuelectenerg-494 199 20 three three NUM fuelectenerg-494 199 21 groups group NOUN fuelectenerg-494 199 22 of of ADP fuelectenerg-494 199 23 6 6 NUM fuelectenerg-494 199 24 bits bit NOUN fuelectenerg-494 199 25 . . PUNCT fuelectenerg-494 200 1 the the DET fuelectenerg-494 200 2 output output NOUN fuelectenerg-494 200 3 residues residue NOUN fuelectenerg-494 200 4 are be AUX fuelectenerg-494 200 5 6 6 NUM fuelectenerg-494 200 6 bits bit NOUN fuelectenerg-494 200 7 long long ADJ fuelectenerg-494 200 8 for for ADP fuelectenerg-494 200 9 modulo modulo NOUN fuelectenerg-494 200 10 26 26 NUM fuelectenerg-494 200 11 − − NOUN fuelectenerg-494 200 12 1 1 NUM fuelectenerg-494 200 13 and and CCONJ fuelectenerg-494 200 14 modulo modulo VERB fuelectenerg-494 200 15 26 26 NUM fuelectenerg-494 200 16 channels channel NOUN fuelectenerg-494 200 17 , , PUNCT fuelectenerg-494 200 18 and and CCONJ fuelectenerg-494 200 19 7 7 NUM fuelectenerg-494 200 20 bits bit NOUN fuelectenerg-494 200 21 long long ADJ fuelectenerg-494 200 22 for for ADP fuelectenerg-494 200 23 modulo modulo NOUN fuelectenerg-494 200 24 26 26 NUM fuelectenerg-494 200 25 +1 +1 PROPN fuelectenerg-494 200 26 channel channel NOUN fuelectenerg-494 200 27 . . PUNCT fuelectenerg-494 201 1 fig fig NOUN fuelectenerg-494 201 2 . . PUNCT fuelectenerg-494 202 1 4 4 X fuelectenerg-494 202 2 . . X fuelectenerg-494 202 3 functional functional ADJ fuelectenerg-494 202 4 simulation simulation NOUN fuelectenerg-494 202 5 waveforms waveform VERB fuelectenerg-494 202 6 of of ADP fuelectenerg-494 202 7 the the DET fuelectenerg-494 202 8 binary binary NOUN fuelectenerg-494 202 9 - - PUNCT fuelectenerg-494 202 10 to to ADP fuelectenerg-494 202 11 - - PUNCT fuelectenerg-494 202 12 residue residue NOUN fuelectenerg-494 202 13 encoder encoder NOUN fuelectenerg-494 202 14 based base VERB fuelectenerg-494 202 15 on on ADP fuelectenerg-494 202 16 moduli modulus NOUN fuelectenerg-494 202 17 set set VERB fuelectenerg-494 202 18 { { PUNCT fuelectenerg-494 202 19 63,64,65 63,64,65 NUM fuelectenerg-494 202 20 } } PUNCT fuelectenerg-494 202 21 with with ADP fuelectenerg-494 202 22 diminished-1 diminished-1 NUM fuelectenerg-494 202 23 encoded encode VERB fuelectenerg-494 202 24 channel channel NOUN fuelectenerg-494 202 25 . . PUNCT fuelectenerg-494 203 1 4 4 NUM fuelectenerg-494 203 2 conclusion conclusion NOUN fuelectenerg-494 203 3 in in ADP fuelectenerg-494 203 4 this this DET fuelectenerg-494 203 5 paper paper NOUN fuelectenerg-494 203 6 , , PUNCT fuelectenerg-494 203 7 we we PRON fuelectenerg-494 203 8 investigated investigate VERB fuelectenerg-494 203 9 the the DET fuelectenerg-494 203 10 binary binary NOUN fuelectenerg-494 203 11 to to ADP fuelectenerg-494 203 12 residues residue NOUN fuelectenerg-494 203 13 memoryless memoryless NOUN fuelectenerg-494 203 14 encoder encoder NOUN fuelectenerg-494 203 15 , , PUNCT fuelectenerg-494 203 16 which which PRON fuelectenerg-494 203 17 is be AUX fuelectenerg-494 203 18 an an DET fuelectenerg-494 203 19 important important ADJ fuelectenerg-494 203 20 issue issue NOUN fuelectenerg-494 203 21 concerning concern VERB fuelectenerg-494 203 22 the the DET fuelectenerg-494 203 23 utilization utilization NOUN fuelectenerg-494 203 24 of of ADP fuelectenerg-494 203 25 the the DET fuelectenerg-494 203 26 rns rn NOUN fuelectenerg-494 203 27 number number NOUN fuelectenerg-494 203 28 system system NOUN fuelectenerg-494 203 29 in in ADP fuelectenerg-494 203 30 dsp dsp NOUN fuelectenerg-494 203 31 application application NOUN fuelectenerg-494 203 32 . . PUNCT fuelectenerg-494 204 1 we we PRON fuelectenerg-494 204 2 proposed propose VERB fuelectenerg-494 204 3 a a DET fuelectenerg-494 204 4 new new ADJ fuelectenerg-494 204 5 binary binary NOUN fuelectenerg-494 204 6 to to ADP fuelectenerg-494 204 7 residues residue NOUN fuelectenerg-494 204 8 encoder encoder NOUN fuelectenerg-494 204 9 for for ADP fuelectenerg-494 204 10 moduli modulus NOUN fuelectenerg-494 204 11 set set VERB fuelectenerg-494 204 12 { { PUNCT fuelectenerg-494 204 13 2n 2n NUM fuelectenerg-494 204 14 − − ADP fuelectenerg-494 204 15 1,2n,2n 1,2n,2n NUM fuelectenerg-494 205 1 + + CCONJ fuelectenerg-494 205 2 1 1 X fuelectenerg-494 205 3 } } PUNCT fuelectenerg-494 205 4 with with ADP fuelectenerg-494 205 5 embedded embed VERB fuelectenerg-494 205 6 diminished-1 diminished-1 NUM fuelectenerg-494 205 7 channel channel NOUN fuelectenerg-494 205 8 which which PRON fuelectenerg-494 205 9 can can AUX fuelectenerg-494 205 10 be be AUX fuelectenerg-494 205 11 used use VERB fuelectenerg-494 205 12 instead instead ADV fuelectenerg-494 205 13 of of ADP fuelectenerg-494 205 14 standard standard ADJ fuelectenerg-494 205 15 modulo modulo NOUN fuelectenerg-494 205 16 2n 2n ADJ fuelectenerg-494 205 17 + + CCONJ fuelectenerg-494 205 18 1 1 NUM fuelectenerg-494 205 19 channel channel NOUN fuelectenerg-494 205 20 . . PUNCT fuelectenerg-494 206 1 the the DET fuelectenerg-494 206 2 modulo modulo NOUN fuelectenerg-494 206 3 2n 2n ADJ fuelectenerg-494 206 4 + + CCONJ fuelectenerg-494 206 5 1 1 NUM fuelectenerg-494 206 6 channel channel NOUN fuelectenerg-494 206 7 and and CCONJ fuelectenerg-494 206 8 the the DET fuelectenerg-494 206 9 diminished1 diminished1 PROPN fuelectenerg-494 206 10 channel channel NOUN fuelectenerg-494 206 11 are be AUX fuelectenerg-494 206 12 implemented implement VERB fuelectenerg-494 206 13 on on ADP fuelectenerg-494 206 14 the the DET fuelectenerg-494 206 15 same same ADJ fuelectenerg-494 206 16 hardware hardware NOUN fuelectenerg-494 206 17 and and CCONJ fuelectenerg-494 206 18 the the DET fuelectenerg-494 206 19 encoder encoder NOUN fuelectenerg-494 206 20 can can AUX fuelectenerg-494 206 21 be be AUX fuelectenerg-494 206 22 used use VERB fuelectenerg-494 206 23 to to PART fuelectenerg-494 206 24 perform perform VERB fuelectenerg-494 206 25 either either CCONJ fuelectenerg-494 206 26 the the DET fuelectenerg-494 206 27 modulo modulo ADJ fuelectenerg-494 206 28 2n 2n NUM fuelectenerg-494 206 29 + + CCONJ fuelectenerg-494 206 30 1 1 NUM fuelectenerg-494 206 31 or or CCONJ fuelectenerg-494 206 32 the the DET fuelectenerg-494 206 33 diminished-1 diminished-1 NUM fuelectenerg-494 206 34 channel channel NOUN fuelectenerg-494 206 35 operation operation NOUN fuelectenerg-494 206 36 . . PUNCT fuelectenerg-494 207 1 the the DET fuelectenerg-494 207 2 single single ADJ fuelectenerg-494 207 3 switch switch NOUN fuelectenerg-494 207 4 is be AUX fuelectenerg-494 207 5 used use VERB fuelectenerg-494 207 6 for for ADP fuelectenerg-494 207 7 the the DET fuelectenerg-494 207 8 channel channel NOUN fuelectenerg-494 207 9 selection selection NOUN fuelectenerg-494 207 10 . . PUNCT fuelectenerg-494 208 1 our our PRON fuelectenerg-494 208 2 approach approach NOUN fuelectenerg-494 208 3 avoids avoid VERB fuelectenerg-494 208 4 the the DET fuelectenerg-494 208 5 initial initial ADJ fuelectenerg-494 208 6 110 110 NUM fuelectenerg-494 208 7 i. i. NOUN fuelectenerg-494 208 8 krstić krstić PROPN fuelectenerg-494 208 9 , , PUNCT fuelectenerg-494 208 10 n. n. PROPN fuelectenerg-494 208 11 stamenković stamenković PROPN fuelectenerg-494 208 12 , , PUNCT fuelectenerg-494 208 13 v. v. ADP fuelectenerg-494 208 14 stojanović stojanović PROPN fuelectenerg-494 208 15 binary binary PROPN fuelectenerg-494 208 16 to to ADP fuelectenerg-494 208 17 rns rn NOUN fuelectenerg-494 208 18 encoder encoder NOUN fuelectenerg-494 208 19 with with ADP fuelectenerg-494 208 20 diminished-1 diminished-1 NUM fuelectenerg-494 208 21 encoded encode VERB fuelectenerg-494 208 22 channel channel NOUN fuelectenerg-494 208 23 111 111 NUM fuelectenerg-494 208 24 binary binary NOUN fuelectenerg-494 208 25 to to ADP fuelectenerg-494 208 26 rns rn NOUN fuelectenerg-494 208 27 encoder encoder NOUN fuelectenerg-494 208 28 with with ADP fuelectenerg-494 208 29 diminished-1 diminished-1 NUM fuelectenerg-494 208 30 encoded encode VERB fuelectenerg-494 208 31 channel channel NOUN fuelectenerg-494 208 32 11 11 NUM fuelectenerg-494 208 33 calculation calculation NOUN fuelectenerg-494 208 34 of of ADP fuelectenerg-494 208 35 x x PUNCT fuelectenerg-494 208 36 − − PROPN fuelectenerg-494 208 37 1 1 NUM fuelectenerg-494 208 38 in in ADP fuelectenerg-494 208 39 order order NOUN fuelectenerg-494 208 40 to to PART fuelectenerg-494 208 41 compute compute VERB fuelectenerg-494 208 42 the the DET fuelectenerg-494 208 43 residue residue NOUN fuelectenerg-494 208 44 of of ADP fuelectenerg-494 208 45 x x X fuelectenerg-494 208 46 modulo modulo NOUN fuelectenerg-494 208 47 2n 2n NUM fuelectenerg-494 208 48 + + CCONJ fuelectenerg-494 208 49 1 1 NUM fuelectenerg-494 208 50 residue residue NOUN fuelectenerg-494 208 51 for for ADP fuelectenerg-494 208 52 the the DET fuelectenerg-494 208 53 diminished-1 diminished-1 NUM fuelectenerg-494 208 54 encoded encode VERB fuelectenerg-494 208 55 channel channel NOUN fuelectenerg-494 208 56 and and CCONJ fuelectenerg-494 208 57 enables enable VERB fuelectenerg-494 208 58 utilization utilization NOUN fuelectenerg-494 208 59 of of ADP fuelectenerg-494 208 60 any any DET fuelectenerg-494 208 61 modulo modulo ADJ fuelectenerg-494 208 62 binary binary NOUN fuelectenerg-494 208 63 adder adder NOUN fuelectenerg-494 208 64 designs design NOUN fuelectenerg-494 208 65 . . PUNCT fuelectenerg-494 209 1 the the DET fuelectenerg-494 209 2 speed speed NOUN fuelectenerg-494 209 3 of of ADP fuelectenerg-494 209 4 the the DET fuelectenerg-494 209 5 binary binary NOUN fuelectenerg-494 209 6 to to ADP fuelectenerg-494 209 7 residues residue NOUN fuelectenerg-494 209 8 encoder encoder NOUN fuelectenerg-494 209 9 can can AUX fuelectenerg-494 209 10 be be AUX fuelectenerg-494 209 11 increased increase VERB fuelectenerg-494 209 12 by by ADP fuelectenerg-494 209 13 using use VERB fuelectenerg-494 209 14 pipelining pipelining NOUN fuelectenerg-494 209 15 . . PUNCT fuelectenerg-494 210 1 the the DET fuelectenerg-494 210 2 encoder encoder NOUN fuelectenerg-494 210 3 proposed propose VERB fuelectenerg-494 210 4 in in ADP fuelectenerg-494 210 5 this this DET fuelectenerg-494 210 6 paper paper NOUN fuelectenerg-494 210 7 is be AUX fuelectenerg-494 210 8 applicable applicable ADJ fuelectenerg-494 210 9 to to ADP fuelectenerg-494 210 10 the the DET fuelectenerg-494 210 11 asic asic NOUN fuelectenerg-494 210 12 and and CCONJ fuelectenerg-494 210 13 the the DET fuelectenerg-494 210 14 fpga fpga PROPN fuelectenerg-494 210 15 implementations implementation NOUN fuelectenerg-494 210 16 . . PUNCT fuelectenerg-494 211 1 the the DET fuelectenerg-494 211 2 obtained obtain VERB fuelectenerg-494 211 3 results result NOUN fuelectenerg-494 211 4 of of ADP fuelectenerg-494 211 5 the the DET fuelectenerg-494 211 6 design design NOUN fuelectenerg-494 211 7 in in ADP fuelectenerg-494 211 8 terms term NOUN fuelectenerg-494 211 9 of of ADP fuelectenerg-494 211 10 the the DET fuelectenerg-494 211 11 number number NOUN fuelectenerg-494 211 12 of of ADP fuelectenerg-494 211 13 xilinx xilinx PROPN fuelectenerg-494 211 14 fpga fpga PROPN fuelectenerg-494 211 15 logic logic NOUN fuelectenerg-494 211 16 elements element NOUN fuelectenerg-494 211 17 and and CCONJ fuelectenerg-494 211 18 input input NOUN fuelectenerg-494 211 19 - - PUNCT fuelectenerg-494 211 20 to to ADP fuelectenerg-494 211 21 - - PUNCT fuelectenerg-494 211 22 output output NOUN fuelectenerg-494 211 23 propagation propagation NOUN fuelectenerg-494 211 24 delays delay NOUN fuelectenerg-494 211 25 are be AUX fuelectenerg-494 211 26 given give VERB fuelectenerg-494 211 27 . . PUNCT fuelectenerg-494 212 1 acknowledgement acknowledgement NOUN fuelectenerg-494 212 2 this this DET fuelectenerg-494 212 3 work work NOUN fuelectenerg-494 212 4 was be AUX fuelectenerg-494 212 5 supported support VERB fuelectenerg-494 212 6 by by ADP fuelectenerg-494 212 7 the the DET fuelectenerg-494 212 8 serbian serbian PROPN fuelectenerg-494 212 9 ministry ministry PROPN fuelectenerg-494 212 10 of of ADP fuelectenerg-494 212 11 science science NOUN fuelectenerg-494 212 12 and and CCONJ fuelectenerg-494 212 13 technological technological ADJ fuelectenerg-494 212 14 development development NOUN fuelectenerg-494 212 15 , , PUNCT fuelectenerg-494 212 16 project project NOUN fuelectenerg-494 212 17 no no NOUN fuelectenerg-494 212 18 . . PUNCT fuelectenerg-494 213 1 32009tr 32009tr PROPN fuelectenerg-494 213 2 . . PUNCT fuelectenerg-494 214 1 references reference NOUN fuelectenerg-494 214 2 [ [ X fuelectenerg-494 214 3 1 1 NUM fuelectenerg-494 214 4 ] ] PUNCT fuelectenerg-494 214 5 h. h. PROPN fuelectenerg-494 214 6 l. l. PROPN fuelectenerg-494 214 7 garner garner PROPN fuelectenerg-494 214 8 , , PUNCT fuelectenerg-494 214 9 “ " PUNCT fuelectenerg-494 214 10 the the DET fuelectenerg-494 214 11 residue residue NOUN fuelectenerg-494 214 12 number number NOUN fuelectenerg-494 214 13 system system NOUN fuelectenerg-494 214 14 , , PUNCT fuelectenerg-494 214 15 ” " PUNCT fuelectenerg-494 214 16 ire ire ADJ fuelectenerg-494 214 17 trans tran NOUN fuelectenerg-494 214 18 . . PUNCT fuelectenerg-494 215 1 electronic electronic ADJ fuelectenerg-494 215 2 computer computer NOUN fuelectenerg-494 215 3 , , PUNCT fuelectenerg-494 215 4 vol vol NOUN fuelectenerg-494 215 5 . . PUNCT fuelectenerg-494 215 6 ec-8 ec-8 PROPN fuelectenerg-494 215 7 , , PUNCT fuelectenerg-494 215 8 no no INTJ fuelectenerg-494 215 9 . . NOUN fuelectenerg-494 215 10 issue issue NOUN fuelectenerg-494 215 11 2 2 NUM fuelectenerg-494 215 12 , , PUNCT fuelectenerg-494 215 13 pp pp ADJ fuelectenerg-494 215 14 . . PUNCT fuelectenerg-494 216 1 140–147 140–147 NUM fuelectenerg-494 216 2 , , PUNCT fuelectenerg-494 216 3 jun jun PROPN fuelectenerg-494 216 4 . . PROPN fuelectenerg-494 216 5 1959 1959 NUM fuelectenerg-494 216 6 . . PUNCT fuelectenerg-494 217 1 [ [ X fuelectenerg-494 217 2 2 2 NUM fuelectenerg-494 217 3 ] ] X fuelectenerg-494 217 4 n. n. PROPN fuelectenerg-494 217 5 szabo szabo PROPN fuelectenerg-494 217 6 and and CCONJ fuelectenerg-494 217 7 r. r. PROPN fuelectenerg-494 217 8 i. i. PROPN fuelectenerg-494 217 9 tanaka tanaka PROPN fuelectenerg-494 217 10 , , PUNCT fuelectenerg-494 217 11 residue residue NOUN fuelectenerg-494 217 12 arithmetic arithmetic ADJ fuelectenerg-494 217 13 and and CCONJ fuelectenerg-494 217 14 its its PRON fuelectenerg-494 217 15 application application NOUN fuelectenerg-494 217 16 to to ADP fuelectenerg-494 217 17 computer computer NOUN fuelectenerg-494 217 18 technology technology NOUN fuelectenerg-494 217 19 . . PUNCT fuelectenerg-494 218 1 new new PROPN fuelectenerg-494 218 2 york york PROPN fuelectenerg-494 218 3 : : PUNCT fuelectenerg-494 218 4 mcgraw mcgraw PROPN fuelectenerg-494 218 5 - - PUNCT fuelectenerg-494 218 6 hill hill PROPN fuelectenerg-494 218 7 , , PUNCT fuelectenerg-494 218 8 1967 1967 NUM fuelectenerg-494 218 9 . . PUNCT fuelectenerg-494 219 1 [ [ X fuelectenerg-494 219 2 3 3 X fuelectenerg-494 219 3 ] ] X fuelectenerg-494 219 4 e. e. PROPN fuelectenerg-494 219 5 gholami gholami PROPN fuelectenerg-494 219 6 , , PUNCT fuelectenerg-494 219 7 r. r. PROPN fuelectenerg-494 219 8 farshidi farshidi PROPN fuelectenerg-494 219 9 , , PUNCT fuelectenerg-494 219 10 m. m. NOUN fuelectenerg-494 219 11 hosseinzadeh hosseinzadeh NOUN fuelectenerg-494 219 12 , , PUNCT fuelectenerg-494 219 13 and and CCONJ fuelectenerg-494 219 14 k. k. PROPN fuelectenerg-494 219 15 navi navi PROPN fuelectenerg-494 219 16 , , PUNCT fuelectenerg-494 219 17 “ " PUNCT fuelectenerg-494 219 18 high high ADJ fuelectenerg-494 219 19 speed speed NOUN fuelectenerg-494 219 20 residue residue NOUN fuelectenerg-494 219 21 number number NOUN fuelectenerg-494 219 22 system system NOUN fuelectenerg-494 219 23 comparison comparison NOUN fuelectenerg-494 219 24 for for ADP fuelectenerg-494 219 25 the the DET fuelectenerg-494 219 26 moduli moduli NOUN fuelectenerg-494 219 27 set set NOUN fuelectenerg-494 219 28 { { PUNCT fuelectenerg-494 219 29 2n 2n NUM fuelectenerg-494 219 30 − − ADP fuelectenerg-494 219 31 1,2n,2n 1,2n,2n NUM fuelectenerg-494 219 32 + + CCONJ fuelectenerg-494 219 33 1 1 NUM fuelectenerg-494 219 34 } } PUNCT fuelectenerg-494 219 35 , , PUNCT fuelectenerg-494 219 36 ” " PUNCT fuelectenerg-494 219 37 journal journal NOUN fuelectenerg-494 219 38 of of ADP fuelectenerg-494 219 39 communication communication NOUN fuelectenerg-494 219 40 and and CCONJ fuelectenerg-494 219 41 computer computer NOUN fuelectenerg-494 219 42 , , PUNCT fuelectenerg-494 219 43 vol vol NOUN fuelectenerg-494 219 44 . . PROPN fuelectenerg-494 219 45 6 6 NUM fuelectenerg-494 219 46 , , PUNCT fuelectenerg-494 219 47 no no INTJ fuelectenerg-494 219 48 . . NOUN fuelectenerg-494 219 49 3 3 NUM fuelectenerg-494 219 50 , , PUNCT fuelectenerg-494 219 51 pp pp ADJ fuelectenerg-494 219 52 . . PUNCT fuelectenerg-494 220 1 40–46 40–46 NUM fuelectenerg-494 220 2 , , PUNCT fuelectenerg-494 220 3 2009 2009 NUM fuelectenerg-494 220 4 . . PUNCT fuelectenerg-494 221 1 [ [ X fuelectenerg-494 221 2 4 4 X fuelectenerg-494 221 3 ] ] X fuelectenerg-494 221 4 j. j. PROPN fuelectenerg-494 221 5 low low PROPN fuelectenerg-494 221 6 and and CCONJ fuelectenerg-494 221 7 c.-h c.-h NOUN fuelectenerg-494 221 8 . . PUNCT fuelectenerg-494 222 1 chang chang PROPN fuelectenerg-494 222 2 , , PUNCT fuelectenerg-494 222 3 “ " PUNCT fuelectenerg-494 222 4 a a DET fuelectenerg-494 222 5 new new ADJ fuelectenerg-494 222 6 approach approach NOUN fuelectenerg-494 222 7 to to ADP fuelectenerg-494 222 8 the the DET fuelectenerg-494 222 9 design design NOUN fuelectenerg-494 222 10 of of ADP fuelectenerg-494 222 11 efficient efficient ADJ fuelectenerg-494 222 12 residue residue NOUN fuelectenerg-494 222 13 generators generator NOUN fuelectenerg-494 222 14 for for ADP fuelectenerg-494 222 15 arbitrary arbitrary ADJ fuelectenerg-494 222 16 moduli modulus NOUN fuelectenerg-494 222 17 , , PUNCT fuelectenerg-494 222 18 ” " PUNCT fuelectenerg-494 222 19 circuits circuit NOUN fuelectenerg-494 222 20 and and CCONJ fuelectenerg-494 222 21 systems system NOUN fuelectenerg-494 223 1 i i PRON fuelectenerg-494 223 2 : : PUNCT fuelectenerg-494 223 3 regular regular ADJ fuelectenerg-494 223 4 papers paper NOUN fuelectenerg-494 223 5 , , PUNCT fuelectenerg-494 223 6 ieee ieee NOUN fuelectenerg-494 223 7 transactions transaction NOUN fuelectenerg-494 223 8 on on ADP fuelectenerg-494 223 9 , , PUNCT fuelectenerg-494 223 10 vol vol NOUN fuelectenerg-494 223 11 . . PROPN fuelectenerg-494 223 12 60 60 NUM fuelectenerg-494 223 13 , , PUNCT fuelectenerg-494 223 14 no no INTJ fuelectenerg-494 223 15 . . NOUN fuelectenerg-494 223 16 9 9 NUM fuelectenerg-494 223 17 , , PUNCT fuelectenerg-494 223 18 pp pp ADJ fuelectenerg-494 223 19 . . PUNCT fuelectenerg-494 224 1 2366–2374 2366–2374 NUM fuelectenerg-494 224 2 , , PUNCT fuelectenerg-494 224 3 sep sep PROPN fuelectenerg-494 224 4 . . PROPN fuelectenerg-494 225 1 2013 2013 NUM fuelectenerg-494 225 2 . . PUNCT fuelectenerg-494 226 1 [ [ X fuelectenerg-494 226 2 5 5 X fuelectenerg-494 226 3 ] ] PUNCT fuelectenerg-494 226 4 w. w. PROPN fuelectenerg-494 226 5 k. k. PROPN fuelectenerg-494 226 6 jenkins jenkins PROPN fuelectenerg-494 226 7 and and CCONJ fuelectenerg-494 226 8 b. b. PROPN fuelectenerg-494 226 9 leon leon PROPN fuelectenerg-494 226 10 , , PUNCT fuelectenerg-494 226 11 “ " PUNCT fuelectenerg-494 226 12 the the DET fuelectenerg-494 226 13 use use NOUN fuelectenerg-494 226 14 of of ADP fuelectenerg-494 226 15 residue residue NOUN fuelectenerg-494 226 16 number number NOUN fuelectenerg-494 226 17 systems system NOUN fuelectenerg-494 226 18 in in ADP fuelectenerg-494 226 19 the the DET fuelectenerg-494 226 20 design design NOUN fuelectenerg-494 226 21 of of ADP fuelectenerg-494 226 22 finite finite ADJ fuelectenerg-494 226 23 impulse impulse ADJ fuelectenerg-494 226 24 response response NOUN fuelectenerg-494 226 25 digital digital ADJ fuelectenerg-494 226 26 filters filter NOUN fuelectenerg-494 226 27 , , PUNCT fuelectenerg-494 226 28 ” " PUNCT fuelectenerg-494 226 29 ieee ieee NOUN fuelectenerg-494 226 30 trans tran NOUN fuelectenerg-494 226 31 . . PUNCT fuelectenerg-494 227 1 on on ADP fuelectenerg-494 227 2 circuits circuit NOUN fuelectenerg-494 227 3 and and CCONJ fuelectenerg-494 227 4 systems system NOUN fuelectenerg-494 227 5 , , PUNCT fuelectenerg-494 227 6 vol vol NOUN fuelectenerg-494 227 7 . . PUNCT fuelectenerg-494 228 1 cas-24 cas-24 NOUN fuelectenerg-494 228 2 , , PUNCT fuelectenerg-494 228 3 no no INTJ fuelectenerg-494 228 4 . . NOUN fuelectenerg-494 228 5 4 4 NUM fuelectenerg-494 228 6 , , PUNCT fuelectenerg-494 228 7 pp pp ADJ fuelectenerg-494 228 8 . . PUNCT fuelectenerg-494 229 1 191–201 191–201 NUM fuelectenerg-494 229 2 , , PUNCT fuelectenerg-494 229 3 apr apr PROPN fuelectenerg-494 229 4 . . PROPN fuelectenerg-494 229 5 1977 1977 NUM fuelectenerg-494 229 6 . . PUNCT fuelectenerg-494 230 1 [ [ X fuelectenerg-494 230 2 6 6 NUM fuelectenerg-494 230 3 ] ] PUNCT fuelectenerg-494 230 4 r. r. PROPN fuelectenerg-494 230 5 chaves chaves PROPN fuelectenerg-494 230 6 and and CCONJ fuelectenerg-494 230 7 l. l. PROPN fuelectenerg-494 230 8 sousa sousa PROPN fuelectenerg-494 230 9 , , PUNCT fuelectenerg-494 230 10 “ " PUNCT fuelectenerg-494 230 11 rdsp rdsp NOUN fuelectenerg-494 230 12 : : PUNCT fuelectenerg-494 230 13 a a DET fuelectenerg-494 230 14 risc risc PROPN fuelectenerg-494 230 15 dsp dsp NOUN fuelectenerg-494 230 16 based base VERB fuelectenerg-494 230 17 on on ADP fuelectenerg-494 230 18 residue residue NOUN fuelectenerg-494 230 19 number number NOUN fuelectenerg-494 230 20 system system NOUN fuelectenerg-494 230 21 , , PUNCT fuelectenerg-494 230 22 ” " PUNCT fuelectenerg-494 230 23 in in ADP fuelectenerg-494 230 24 digital digital ADJ fuelectenerg-494 230 25 system system NOUN fuelectenerg-494 230 26 design design NOUN fuelectenerg-494 230 27 , , PUNCT fuelectenerg-494 230 28 2003 2003 NUM fuelectenerg-494 230 29 . . PUNCT fuelectenerg-494 231 1 proceedings proceeding NOUN fuelectenerg-494 231 2 . . PUNCT fuelectenerg-494 232 1 euromicro euromicro ADJ fuelectenerg-494 232 2 symposium symposium NOUN fuelectenerg-494 232 3 on on ADP fuelectenerg-494 232 4 , , PUNCT fuelectenerg-494 232 5 belekantalya belekantalya ADV fuelectenerg-494 232 6 , , PUNCT fuelectenerg-494 232 7 turkey turkey PROPN fuelectenerg-494 232 8 , , PUNCT fuelectenerg-494 232 9 sep sep PROPN fuelectenerg-494 232 10 . . PUNCT fuelectenerg-494 233 1 1–6 1–6 NUM fuelectenerg-494 233 2 , , PUNCT fuelectenerg-494 233 3 2003 2003 NUM fuelectenerg-494 233 4 , , PUNCT fuelectenerg-494 233 5 pp pp ADP fuelectenerg-494 233 6 . . PUNCT fuelectenerg-494 234 1 128–135 128–135 NUM fuelectenerg-494 234 2 . . PUNCT fuelectenerg-494 235 1 [ [ X fuelectenerg-494 235 2 7 7 X fuelectenerg-494 235 3 ] ] X fuelectenerg-494 235 4 n. n. NOUN fuelectenerg-494 235 5 stamenković stamenković PROPN fuelectenerg-494 235 6 , , PUNCT fuelectenerg-494 235 7 digital digital ADJ fuelectenerg-494 235 8 filter filter NOUN fuelectenerg-494 235 9 implementation implementation NOUN fuelectenerg-494 235 10 using use VERB fuelectenerg-494 235 11 rns rn NOUN fuelectenerg-494 235 12 - - PUNCT fuelectenerg-494 235 13 binary binary PROPN fuelectenerg-494 235 14 arithmetic arithmetic NOUN fuelectenerg-494 235 15 , , PUNCT fuelectenerg-494 235 16 monographies monographie VERB fuelectenerg-494 235 17 ed ed NOUN fuelectenerg-494 235 18 . . PUNCT fuelectenerg-494 235 19 lap lap PROPN fuelectenerg-494 235 20 lambert lambert PROPN fuelectenerg-494 235 21 academic academic PROPN fuelectenerg-494 235 22 publishing publishing NOUN fuelectenerg-494 235 23 , , PUNCT fuelectenerg-494 235 24 2014 2014 NUM fuelectenerg-494 235 25 . . PUNCT fuelectenerg-494 236 1 [ [ X fuelectenerg-494 236 2 8 8 NUM fuelectenerg-494 236 3 ] ] X fuelectenerg-494 236 4 d. d. PROPN fuelectenerg-494 236 5 živaljević živaljević PROPN fuelectenerg-494 236 6 , , PUNCT fuelectenerg-494 236 7 n. n. PROPN fuelectenerg-494 236 8 stamenković stamenković NOUN fuelectenerg-494 236 9 , , PUNCT fuelectenerg-494 236 10 and and CCONJ fuelectenerg-494 236 11 v. v. ADP fuelectenerg-494 236 12 stojanović stojanović ADJ fuelectenerg-494 236 13 , , PUNCT fuelectenerg-494 236 14 “ " PUNCT fuelectenerg-494 236 15 digital digital ADJ fuelectenerg-494 236 16 filter filter NOUN fuelectenerg-494 236 17 implementation implementation NOUN fuelectenerg-494 236 18 based base VERB fuelectenerg-494 236 19 on on ADP fuelectenerg-494 236 20 the the DET fuelectenerg-494 236 21 rns rn NOUN fuelectenerg-494 236 22 with with ADP fuelectenerg-494 236 23 diminished-1 diminished-1 NUM fuelectenerg-494 236 24 encoded encode VERB fuelectenerg-494 236 25 channel channel NOUN fuelectenerg-494 236 26 , , PUNCT fuelectenerg-494 236 27 ” " PUNCT fuelectenerg-494 236 28 in in ADP fuelectenerg-494 236 29 telecommunications telecommunication NOUN fuelectenerg-494 236 30 and and CCONJ fuelectenerg-494 236 31 signal signal NOUN fuelectenerg-494 236 32 processing processing NOUN fuelectenerg-494 236 33 ( ( PUNCT fuelectenerg-494 236 34 tsp tsp NOUN fuelectenerg-494 236 35 ) ) PUNCT fuelectenerg-494 236 36 , , PUNCT fuelectenerg-494 236 37 35th 35th ADJ fuelectenerg-494 236 38 international international ADJ fuelectenerg-494 236 39 conference conference NOUN fuelectenerg-494 236 40 on on ADP fuelectenerg-494 236 41 , , PUNCT fuelectenerg-494 236 42 prague prague PROPN fuelectenerg-494 236 43 , , PUNCT fuelectenerg-494 236 44 czech czech PROPN fuelectenerg-494 236 45 republic republic NOUN fuelectenerg-494 236 46 , , PUNCT fuelectenerg-494 236 47 jul jul PROPN fuelectenerg-494 236 48 . . PROPN fuelectenerg-494 236 49 3–4 3–4 NUM fuelectenerg-494 236 50 , , PUNCT fuelectenerg-494 236 51 2012 2012 NUM fuelectenerg-494 236 52 , , PUNCT fuelectenerg-494 236 53 pp pp ADV fuelectenerg-494 236 54 . . PUNCT fuelectenerg-494 237 1 662–666 662–666 NUM fuelectenerg-494 237 2 . . PUNCT fuelectenerg-494 238 1 [ [ X fuelectenerg-494 238 2 9 9 NUM fuelectenerg-494 238 3 ] ] X fuelectenerg-494 238 4 n. n. NOUN fuelectenerg-494 238 5 stamenković stamenković PROPN fuelectenerg-494 238 6 , , PUNCT fuelectenerg-494 238 7 d. d. PROPN fuelectenerg-494 238 8 živaljević živaljević PROPN fuelectenerg-494 238 9 , , PUNCT fuelectenerg-494 238 10 and and CCONJ fuelectenerg-494 238 11 v. v. ADP fuelectenerg-494 238 12 stojanović stojanović ADJ fuelectenerg-494 238 13 , , PUNCT fuelectenerg-494 238 14 “ " PUNCT fuelectenerg-494 238 15 the the DET fuelectenerg-494 238 16 use use NOUN fuelectenerg-494 238 17 of of ADP fuelectenerg-494 238 18 residue residue NOUN fuelectenerg-494 238 19 number number NOUN fuelectenerg-494 238 20 system system NOUN fuelectenerg-494 238 21 in in ADP fuelectenerg-494 238 22 the the DET fuelectenerg-494 238 23 design design NOUN fuelectenerg-494 238 24 of of ADP fuelectenerg-494 238 25 the the DET fuelectenerg-494 238 26 optimal optimal ADJ fuelectenerg-494 238 27 all all ADJ fuelectenerg-494 238 28 - - PUNCT fuelectenerg-494 238 29 pole pole NOUN fuelectenerg-494 238 30 iir iir PROPN fuelectenerg-494 238 31 digital digital PROPN fuelectenerg-494 238 32 filters filter NOUN fuelectenerg-494 238 33 , , PUNCT fuelectenerg-494 238 34 ” " PUNCT fuelectenerg-494 238 35 in in ADP fuelectenerg-494 238 36 telecommunications telecommunication NOUN fuelectenerg-494 238 37 and and CCONJ fuelectenerg-494 238 38 signal signal NOUN fuelectenerg-494 238 39 processing processing NOUN fuelectenerg-494 238 40 ( ( PUNCT fuelectenerg-494 238 41 tsp tsp NOUN fuelectenerg-494 238 42 ) ) PUNCT fuelectenerg-494 238 43 , , PUNCT fuelectenerg-494 238 44 36th 36th ADJ fuelectenerg-494 238 45 international international ADJ fuelectenerg-494 238 46 conference conference NOUN fuelectenerg-494 238 47 on on ADP fuelectenerg-494 238 48 , , PUNCT fuelectenerg-494 238 49 rome rome PROPN fuelectenerg-494 238 50 , , PUNCT fuelectenerg-494 238 51 italy italy PROPN fuelectenerg-494 238 52 , , PUNCT fuelectenerg-494 238 53 jul jul PROPN fuelectenerg-494 238 54 . . PROPN fuelectenerg-494 238 55 2–4 2–4 NUM fuelectenerg-494 238 56 , , PUNCT fuelectenerg-494 238 57 2013 2013 NUM fuelectenerg-494 238 58 , , PUNCT fuelectenerg-494 238 59 pp pp ADJ fuelectenerg-494 238 60 . . PUNCT fuelectenerg-494 239 1 722–726 722–726 NUM fuelectenerg-494 239 2 . . PUNCT fuelectenerg-494 240 1 [ [ X fuelectenerg-494 240 2 10 10 NUM fuelectenerg-494 240 3 ] ] X fuelectenerg-494 240 4 d. d. PROPN fuelectenerg-494 240 5 živaljević živaljević PROPN fuelectenerg-494 240 6 , , PUNCT fuelectenerg-494 240 7 n. n. PROPN fuelectenerg-494 240 8 stamenković stamenković NOUN fuelectenerg-494 240 9 , , PUNCT fuelectenerg-494 240 10 and and CCONJ fuelectenerg-494 240 11 v. v. ADP fuelectenerg-494 240 12 stojanović stojanović ADJ fuelectenerg-494 240 13 , , PUNCT fuelectenerg-494 240 14 “ " PUNCT fuelectenerg-494 240 15 fir fir NOUN fuelectenerg-494 240 16 filter filter NOUN fuelectenerg-494 240 17 implementation implementation NOUN fuelectenerg-494 240 18 based base VERB fuelectenerg-494 240 19 on on ADP fuelectenerg-494 240 20 the the DET fuelectenerg-494 240 21 rns rn NOUN fuelectenerg-494 240 22 with with ADP fuelectenerg-494 240 23 diminished-1 diminished-1 NUM fuelectenerg-494 240 24 encoded encode VERB fuelectenerg-494 240 25 channel channel NOUN fuelectenerg-494 240 26 , , PUNCT fuelectenerg-494 240 27 ” " PUNCT fuelectenerg-494 240 28 international international ADJ fuelectenerg-494 240 29 journal journal NOUN fuelectenerg-494 240 30 of of ADP fuelectenerg-494 240 31 advances advance NOUN fuelectenerg-494 240 32 in in ADP fuelectenerg-494 240 33 telecommunications telecommunication NOUN fuelectenerg-494 240 34 , , PUNCT fuelectenerg-494 240 35 electrotechnics electrotechnic NOUN fuelectenerg-494 240 36 , , PUNCT fuelectenerg-494 240 37 signals signal NOUN fuelectenerg-494 240 38 and and CCONJ fuelectenerg-494 240 39 systems system NOUN fuelectenerg-494 240 40 , , PUNCT fuelectenerg-494 240 41 vol vol NOUN fuelectenerg-494 240 42 . . PROPN fuelectenerg-494 240 43 2 2 NUM fuelectenerg-494 240 44 , , PUNCT fuelectenerg-494 240 45 no no INTJ fuelectenerg-494 240 46 . . NOUN fuelectenerg-494 240 47 2 2 NUM fuelectenerg-494 240 48 , , PUNCT fuelectenerg-494 240 49 pp pp ADJ fuelectenerg-494 240 50 . . PUNCT fuelectenerg-494 241 1 56 56 NUM fuelectenerg-494 241 2 – – PUNCT fuelectenerg-494 241 3 62 62 NUM fuelectenerg-494 241 4 , , PUNCT fuelectenerg-494 241 5 2013 2013 NUM fuelectenerg-494 241 6 . . PUNCT fuelectenerg-494 242 1 112 112 NUM fuelectenerg-494 242 2 i. i. NOUN fuelectenerg-494 242 3 krstić krstić PROPN fuelectenerg-494 242 4 , , PUNCT fuelectenerg-494 242 5 n. n. PROPN fuelectenerg-494 242 6 stamenković stamenković PROPN fuelectenerg-494 242 7 , , PUNCT fuelectenerg-494 242 8 v. v. ADP fuelectenerg-494 242 9 stojanović stojanović PROPN fuelectenerg-494 242 10 binary binary PROPN fuelectenerg-494 242 11 to to ADP fuelectenerg-494 242 12 rns rn NOUN fuelectenerg-494 242 13 encoder encoder NOUN fuelectenerg-494 242 14 with with ADP fuelectenerg-494 242 15 diminished-1 diminished-1 NUM fuelectenerg-494 242 16 encoded encode VERB fuelectenerg-494 242 17 channel channel NOUN fuelectenerg-494 242 18 pb pb ADP fuelectenerg-494 242 19 12 12 NUM fuelectenerg-494 242 20 i. i. PROPN fuelectenerg-494 242 21 krstić krstić PROPN fuelectenerg-494 242 22 , , PUNCT fuelectenerg-494 242 23 n. n. PROPN fuelectenerg-494 242 24 stamenković stamenković PROPN fuelectenerg-494 242 25 and and CCONJ fuelectenerg-494 242 26 v. v. ADP fuelectenerg-494 242 27 stojanović stojanović ADJ fuelectenerg-494 242 28 : : PUNCT fuelectenerg-494 243 1 [ [ X fuelectenerg-494 243 2 11 11 NUM fuelectenerg-494 243 3 ] ] PUNCT fuelectenerg-494 243 4 k.-w k.-w PROPN fuelectenerg-494 243 5 . . PUNCT fuelectenerg-494 244 1 kim kim PROPN fuelectenerg-494 244 2 and and CCONJ fuelectenerg-494 244 3 w.-j w.-j PROPN fuelectenerg-494 244 4 . . PUNCT fuelectenerg-494 245 1 lee lee PROPN fuelectenerg-494 245 2 , , PUNCT fuelectenerg-494 245 3 “ " PUNCT fuelectenerg-494 245 4 an an DET fuelectenerg-494 245 5 efficient efficient ADJ fuelectenerg-494 245 6 parallel parallel ADJ fuelectenerg-494 245 7 systolic systolic ADJ fuelectenerg-494 245 8 array array NOUN fuelectenerg-494 245 9 for for ADP fuelectenerg-494 245 10 ab2 ab2 NOUN fuelectenerg-494 245 11 over over ADP fuelectenerg-494 245 12 gf(2n gf(2n NOUN fuelectenerg-494 245 13 ) ) PUNCT fuelectenerg-494 245 14 , , PUNCT fuelectenerg-494 245 15 ” " PUNCT fuelectenerg-494 245 16 ieice ieice NOUN fuelectenerg-494 245 17 electronics electronic NOUN fuelectenerg-494 245 18 express express VERB fuelectenerg-494 245 19 , , PUNCT fuelectenerg-494 245 20 vol vol NOUN fuelectenerg-494 245 21 . . PROPN fuelectenerg-494 246 1 10 10 NUM fuelectenerg-494 246 2 , , PUNCT fuelectenerg-494 246 3 no no INTJ fuelectenerg-494 246 4 . . NOUN fuelectenerg-494 246 5 20 20 NUM fuelectenerg-494 246 6 , , PUNCT fuelectenerg-494 246 7 pp pp ADJ fuelectenerg-494 246 8 . . PUNCT fuelectenerg-494 247 1 1–6 1–6 NUM fuelectenerg-494 247 2 , , PUNCT fuelectenerg-494 247 3 2013 2013 NUM fuelectenerg-494 247 4 . . PUNCT fuelectenerg-494 248 1 [ [ X fuelectenerg-494 248 2 12 12 NUM fuelectenerg-494 248 3 ] ] X fuelectenerg-494 248 4 r. r. PROPN fuelectenerg-494 248 5 capocelli capocelli PROPN fuelectenerg-494 248 6 and and CCONJ fuelectenerg-494 248 7 r. r. PROPN fuelectenerg-494 248 8 giancarlo giancarlo PROPN fuelectenerg-494 248 9 , , PUNCT fuelectenerg-494 248 10 “ " PUNCT fuelectenerg-494 248 11 efficient efficient ADJ fuelectenerg-494 248 12 vlsi vlsi PROPN fuelectenerg-494 248 13 networks network NOUN fuelectenerg-494 248 14 for for ADP fuelectenerg-494 248 15 converting convert VERB fuelectenerg-494 248 16 an an DET fuelectenerg-494 248 17 integer integer NOUN fuelectenerg-494 248 18 from from ADP fuelectenerg-494 248 19 binary binary ADJ fuelectenerg-494 248 20 system system NOUN fuelectenerg-494 248 21 to to ADP fuelectenerg-494 248 22 residue residue NOUN fuelectenerg-494 248 23 number number NOUN fuelectenerg-494 248 24 system system NOUN fuelectenerg-494 248 25 and and CCONJ fuelectenerg-494 248 26 vice vice NOUN fuelectenerg-494 248 27 versa versa ADV fuelectenerg-494 248 28 , , PUNCT fuelectenerg-494 248 29 ” " PUNCT fuelectenerg-494 248 30 circuits circuit NOUN fuelectenerg-494 248 31 and and CCONJ fuelectenerg-494 248 32 systems system NOUN fuelectenerg-494 248 33 , , PUNCT fuelectenerg-494 248 34 ieee ieee NOUN fuelectenerg-494 248 35 transactions transaction NOUN fuelectenerg-494 248 36 on on ADP fuelectenerg-494 248 37 , , PUNCT fuelectenerg-494 248 38 vol vol NOUN fuelectenerg-494 248 39 . . PROPN fuelectenerg-494 248 40 35 35 NUM fuelectenerg-494 248 41 , , PUNCT fuelectenerg-494 248 42 no no INTJ fuelectenerg-494 248 43 . . NOUN fuelectenerg-494 248 44 11 11 NUM fuelectenerg-494 248 45 , , PUNCT fuelectenerg-494 248 46 pp pp ADJ fuelectenerg-494 248 47 . . PUNCT fuelectenerg-494 249 1 1425–1430 1425–1430 NUM fuelectenerg-494 249 2 , , PUNCT fuelectenerg-494 249 3 1988 1988 NUM fuelectenerg-494 249 4 . . PUNCT fuelectenerg-494 250 1 [ [ X fuelectenerg-494 250 2 13 13 NUM fuelectenerg-494 250 3 ] ] X fuelectenerg-494 250 4 f. f. NOUN fuelectenerg-494 250 5 pourbigharaz pourbigharaz PROPN fuelectenerg-494 250 6 and and CCONJ fuelectenerg-494 250 7 h. h. PROPN fuelectenerg-494 250 8 m. m. PROPN fuelectenerg-494 250 9 yassine yassine PROPN fuelectenerg-494 250 10 , , PUNCT fuelectenerg-494 250 11 “ " PUNCT fuelectenerg-494 250 12 modulo modulo NOUN fuelectenerg-494 250 13 - - PUNCT fuelectenerg-494 250 14 free free ADJ fuelectenerg-494 250 15 architecture architecture NOUN fuelectenerg-494 250 16 for for ADP fuelectenerg-494 250 17 binary binary NOUN fuelectenerg-494 250 18 to to ADP fuelectenerg-494 250 19 residue residue NOUN fuelectenerg-494 250 20 transformation transformation NOUN fuelectenerg-494 250 21 with with ADP fuelectenerg-494 250 22 respect respect NOUN fuelectenerg-494 250 23 to to ADP fuelectenerg-494 250 24 { { PUNCT fuelectenerg-494 250 25 2 2 NUM fuelectenerg-494 250 26 m m NOUN fuelectenerg-494 250 27 −1,2m,2 −1,2m,2 NOUN fuelectenerg-494 250 28 m m VERB fuelectenerg-494 250 29 +1 +1 ADJ fuelectenerg-494 250 30 } } PUNCT fuelectenerg-494 250 31 moduli modulus NOUN fuelectenerg-494 250 32 set set VERB fuelectenerg-494 250 33 , , PUNCT fuelectenerg-494 250 34 ” " PUNCT fuelectenerg-494 250 35 in in ADP fuelectenerg-494 250 36 circuits circuit NOUN fuelectenerg-494 250 37 and and CCONJ fuelectenerg-494 250 38 systems system NOUN fuelectenerg-494 250 39 , , PUNCT fuelectenerg-494 250 40 1994 1994 NUM fuelectenerg-494 250 41 . . PUNCT fuelectenerg-494 250 42 iscas iscas PROPN fuelectenerg-494 250 43 ’ ' PUNCT fuelectenerg-494 250 44 94 94 NUM fuelectenerg-494 250 45 . . PUNCT fuelectenerg-494 250 46 , , PUNCT fuelectenerg-494 250 47 1994 1994 NUM fuelectenerg-494 250 48 ieee ieee PROPN fuelectenerg-494 250 49 international international ADJ fuelectenerg-494 250 50 symposium symposium NOUN fuelectenerg-494 250 51 on on ADP fuelectenerg-494 250 52 , , PUNCT fuelectenerg-494 250 53 vol vol NOUN fuelectenerg-494 250 54 . . PROPN fuelectenerg-494 250 55 2 2 NUM fuelectenerg-494 250 56 , , PUNCT fuelectenerg-494 250 57 1994 1994 NUM fuelectenerg-494 250 58 , , PUNCT fuelectenerg-494 250 59 pp pp ADJ fuelectenerg-494 250 60 . . PUNCT fuelectenerg-494 251 1 317–320 317–320 NUM fuelectenerg-494 251 2 . . PUNCT fuelectenerg-494 252 1 [ [ X fuelectenerg-494 252 2 14 14 NUM fuelectenerg-494 252 3 ] ] PUNCT fuelectenerg-494 252 4 m.-h m.-h NOUN fuelectenerg-494 252 5 . . PUNCT fuelectenerg-494 253 1 sheu sheu ADJ fuelectenerg-494 253 2 , , PUNCT fuelectenerg-494 253 3 s.-h s.-h NOUN fuelectenerg-494 253 4 . . PUNCT fuelectenerg-494 254 1 lin lin PROPN fuelectenerg-494 254 2 , , PUNCT fuelectenerg-494 254 3 y.-t y.-t PROPN fuelectenerg-494 254 4 . . PUNCT fuelectenerg-494 255 1 chen chen PROPN fuelectenerg-494 255 2 , , PUNCT fuelectenerg-494 255 3 and and CCONJ fuelectenerg-494 255 4 y.-c y.-c PROPN fuelectenerg-494 255 5 . . PUNCT fuelectenerg-494 256 1 chang chang PROPN fuelectenerg-494 256 2 , , PUNCT fuelectenerg-494 256 3 “ " PUNCT fuelectenerg-494 256 4 high high ADJ fuelectenerg-494 256 5 - - PUNCT fuelectenerg-494 256 6 speed speed NOUN fuelectenerg-494 256 7 and and CCONJ fuelectenerg-494 256 8 reduced reduce VERB fuelectenerg-494 256 9 - - PUNCT fuelectenerg-494 256 10 area area NOUN fuelectenerg-494 256 11 rns rn VERB fuelectenerg-494 256 12 forward forward ADV fuelectenerg-494 256 13 converter converter NOUN fuelectenerg-494 256 14 based base VERB fuelectenerg-494 256 15 on on ADP fuelectenerg-494 256 16 ( ( PUNCT fuelectenerg-494 256 17 2n 2n NUM fuelectenerg-494 256 18 −1,2n,2n −1,2n,2n PROPN fuelectenerg-494 256 19 +1 +1 PROPN fuelectenerg-494 256 20 ) ) PUNCT fuelectenerg-494 256 21 moduli modulus NOUN fuelectenerg-494 256 22 set set VERB fuelectenerg-494 256 23 , , PUNCT fuelectenerg-494 256 24 ” " PUNCT fuelectenerg-494 256 25 in in ADP fuelectenerg-494 256 26 circuits circuit NOUN fuelectenerg-494 256 27 and and CCONJ fuelectenerg-494 256 28 systems system NOUN fuelectenerg-494 256 29 , , PUNCT fuelectenerg-494 256 30 2004 2004 NUM fuelectenerg-494 256 31 . . PUNCT fuelectenerg-494 257 1 proceedings proceeding NOUN fuelectenerg-494 257 2 . . PUNCT fuelectenerg-494 258 1 the the DET fuelectenerg-494 258 2 2004 2004 NUM fuelectenerg-494 258 3 ieee ieee PROPN fuelectenerg-494 258 4 asia asia PROPN fuelectenerg-494 258 5 - - PUNCT fuelectenerg-494 258 6 pacific pacific PROPN fuelectenerg-494 258 7 conference conference NOUN fuelectenerg-494 258 8 on on ADP fuelectenerg-494 258 9 , , PUNCT fuelectenerg-494 258 10 vol vol NOUN fuelectenerg-494 258 11 . . PROPN fuelectenerg-494 258 12 2 2 NUM fuelectenerg-494 258 13 , , PUNCT fuelectenerg-494 258 14 2004 2004 NUM fuelectenerg-494 258 15 , , PUNCT fuelectenerg-494 258 16 pp pp ADV fuelectenerg-494 258 17 . . PUNCT fuelectenerg-494 259 1 821–824 821–824 NUM fuelectenerg-494 259 2 . . PUNCT fuelectenerg-494 260 1 [ [ X fuelectenerg-494 260 2 15 15 NUM fuelectenerg-494 260 3 ] ] X fuelectenerg-494 260 4 i. i. PROPN fuelectenerg-494 260 5 krstić krstić PROPN fuelectenerg-494 260 6 , , PUNCT fuelectenerg-494 260 7 n. n. PROPN fuelectenerg-494 260 8 stamenković stamenković PROPN fuelectenerg-494 260 9 , , PUNCT fuelectenerg-494 260 10 m. m. NOUN fuelectenerg-494 260 11 petrović petrović ADJ fuelectenerg-494 260 12 , , PUNCT fuelectenerg-494 260 13 and and CCONJ fuelectenerg-494 260 14 v. v. ADP fuelectenerg-494 260 15 stojanović stojanović ADJ fuelectenerg-494 260 16 , , PUNCT fuelectenerg-494 260 17 “ " PUNCT fuelectenerg-494 260 18 binary binary NOUN fuelectenerg-494 260 19 to to ADP fuelectenerg-494 260 20 rns rn NOUN fuelectenerg-494 260 21 encoder encoder NOUN fuelectenerg-494 260 22 with with ADP fuelectenerg-494 260 23 modulo modulo NOUN fuelectenerg-494 260 24 2n 2n ADJ fuelectenerg-494 260 25 +1 +1 ADJ fuelectenerg-494 260 26 channel channel NOUN fuelectenerg-494 260 27 in in ADP fuelectenerg-494 260 28 diminished-1 diminished-1 NUM fuelectenerg-494 260 29 number number NOUN fuelectenerg-494 260 30 system system NOUN fuelectenerg-494 260 31 , , PUNCT fuelectenerg-494 260 32 ” " PUNCT fuelectenerg-494 260 33 international international ADJ fuelectenerg-494 260 34 journal journal NOUN fuelectenerg-494 260 35 of of ADP fuelectenerg-494 260 36 computational computational ADJ fuelectenerg-494 260 37 engineering engineering NOUN fuelectenerg-494 260 38 & & CCONJ fuelectenerg-494 260 39 management management PROPN fuelectenerg-494 260 40 ( ( PUNCT fuelectenerg-494 260 41 ijcem ijcem ADJ fuelectenerg-494 260 42 ) ) PUNCT fuelectenerg-494 260 43 , , PUNCT fuelectenerg-494 260 44 vol vol NOUN fuelectenerg-494 260 45 . . PROPN fuelectenerg-494 260 46 17 17 NUM fuelectenerg-494 260 47 , , PUNCT fuelectenerg-494 260 48 no no INTJ fuelectenerg-494 260 49 . . NOUN fuelectenerg-494 260 50 4 4 NUM fuelectenerg-494 260 51 , , PUNCT fuelectenerg-494 260 52 pp pp ADJ fuelectenerg-494 260 53 . . PUNCT fuelectenerg-494 261 1 1–9 1–9 NOUN fuelectenerg-494 261 2 , , PUNCT fuelectenerg-494 261 3 may may AUX fuelectenerg-494 261 4 2014 2014 NUM fuelectenerg-494 261 5 . . PUNCT fuelectenerg-494 262 1 [ [ X fuelectenerg-494 262 2 online online X fuelectenerg-494 262 3 ] ] X fuelectenerg-494 262 4 . . PUNCT fuelectenerg-494 263 1 available available ADJ fuelectenerg-494 263 2 : : PUNCT fuelectenerg-494 263 3 www.ijcem.com www.ijcem.com X fuelectenerg-494 264 1 [ [ X fuelectenerg-494 264 2 16 16 NUM fuelectenerg-494 264 3 ] ] X fuelectenerg-494 264 4 l. l. PROPN fuelectenerg-494 264 5 m. m. PROPN fuelectenerg-494 264 6 leibowitz leibowitz PROPN fuelectenerg-494 264 7 , , PUNCT fuelectenerg-494 264 8 “ " PUNCT fuelectenerg-494 264 9 a a DET fuelectenerg-494 264 10 simplified simplified ADJ fuelectenerg-494 264 11 binary binary ADJ fuelectenerg-494 264 12 arithmetic arithmetic NOUN fuelectenerg-494 264 13 for for ADP fuelectenerg-494 264 14 the the DET fuelectenerg-494 264 15 fermat fermat ADJ fuelectenerg-494 264 16 number number NOUN fuelectenerg-494 264 17 transform transform NOUN fuelectenerg-494 264 18 , , PUNCT fuelectenerg-494 264 19 ” " PUNCT fuelectenerg-494 264 20 ieee ieee NOUN fuelectenerg-494 264 21 transactions transaction NOUN fuelectenerg-494 264 22 on on ADP fuelectenerg-494 264 23 acoustics acoustic NOUN fuelectenerg-494 264 24 , , PUNCT fuelectenerg-494 264 25 speech speech NOUN fuelectenerg-494 264 26 , , PUNCT fuelectenerg-494 264 27 and and CCONJ fuelectenerg-494 264 28 signal signal NOUN fuelectenerg-494 264 29 processing processing NOUN fuelectenerg-494 264 30 , , PUNCT fuelectenerg-494 264 31 vol vol NOUN fuelectenerg-494 264 32 . . PUNCT fuelectenerg-494 265 1 assp-24 assp-24 NOUN fuelectenerg-494 265 2 , , PUNCT fuelectenerg-494 265 3 no no INTJ fuelectenerg-494 265 4 . . NOUN fuelectenerg-494 265 5 5 5 NUM fuelectenerg-494 265 6 , , PUNCT fuelectenerg-494 265 7 pp pp ADJ fuelectenerg-494 265 8 . . PUNCT fuelectenerg-494 266 1 356–359 356–359 NUM fuelectenerg-494 266 2 , , PUNCT fuelectenerg-494 266 3 oct oct PROPN fuelectenerg-494 266 4 . . PROPN fuelectenerg-494 266 5 1976 1976 NUM fuelectenerg-494 266 6 . . PUNCT fuelectenerg-494 267 1 [ [ X fuelectenerg-494 267 2 17 17 NUM fuelectenerg-494 267 3 ] ] X fuelectenerg-494 267 4 h. h. PROPN fuelectenerg-494 267 5 vergos vergos PROPN fuelectenerg-494 267 6 and and CCONJ fuelectenerg-494 267 7 c. c. PROPN fuelectenerg-494 267 8 efstathiou efstathiou PROPN fuelectenerg-494 267 9 , , PUNCT fuelectenerg-494 267 10 “ " PUNCT fuelectenerg-494 267 11 a a DET fuelectenerg-494 267 12 unifying unifying ADJ fuelectenerg-494 267 13 approach approach NOUN fuelectenerg-494 267 14 for for ADP fuelectenerg-494 267 15 weighted weight VERB fuelectenerg-494 267 16 and and CCONJ fuelectenerg-494 267 17 diminished-1 diminished-1 PRON fuelectenerg-494 267 18 modulo modulo VERB fuelectenerg-494 267 19 2n 2n ADJ fuelectenerg-494 267 20 +1 +1 ADJ fuelectenerg-494 267 21 addition addition NOUN fuelectenerg-494 267 22 , , PUNCT fuelectenerg-494 267 23 ” " PUNCT fuelectenerg-494 267 24 circuits circuit NOUN fuelectenerg-494 267 25 and and CCONJ fuelectenerg-494 267 26 systems system NOUN fuelectenerg-494 267 27 ii ii PROPN fuelectenerg-494 267 28 : : PUNCT fuelectenerg-494 267 29 express express VERB fuelectenerg-494 267 30 briefs brief NOUN fuelectenerg-494 267 31 , , PUNCT fuelectenerg-494 267 32 ieee ieee NOUN fuelectenerg-494 267 33 transactions transaction NOUN fuelectenerg-494 267 34 on on ADP fuelectenerg-494 267 35 , , PUNCT fuelectenerg-494 267 36 vol vol NOUN fuelectenerg-494 267 37 . . PROPN fuelectenerg-494 268 1 55 55 NUM fuelectenerg-494 268 2 , , PUNCT fuelectenerg-494 268 3 no no INTJ fuelectenerg-494 268 4 . . NOUN fuelectenerg-494 268 5 10 10 NUM fuelectenerg-494 268 6 , , PUNCT fuelectenerg-494 268 7 pp pp ADJ fuelectenerg-494 268 8 . . PUNCT fuelectenerg-494 269 1 1041–1045 1041–1045 NUM fuelectenerg-494 269 2 , , PUNCT fuelectenerg-494 269 3 oct oct PROPN fuelectenerg-494 269 4 . . PROPN fuelectenerg-494 269 5 2008 2008 NUM fuelectenerg-494 269 6 . . PUNCT fuelectenerg-494 270 1 [ [ X fuelectenerg-494 270 2 18 18 NUM fuelectenerg-494 270 3 ] ] X fuelectenerg-494 270 4 c. c. PROPN fuelectenerg-494 270 5 efstathiou efstathiou PROPN fuelectenerg-494 270 6 , , PUNCT fuelectenerg-494 270 7 i. i. NOUN fuelectenerg-494 270 8 voyiatzis voyiatzi NOUN fuelectenerg-494 270 9 , , PUNCT fuelectenerg-494 270 10 and and CCONJ fuelectenerg-494 270 11 n. n. NOUN fuelectenerg-494 270 12 sklavos sklavos NOUN fuelectenerg-494 270 13 , , PUNCT fuelectenerg-494 270 14 “ " PUNCT fuelectenerg-494 270 15 on on ADP fuelectenerg-494 270 16 the the DET fuelectenerg-494 270 17 modulo modulo NOUN fuelectenerg-494 270 18 2n 2n ADJ fuelectenerg-494 270 19 + + CCONJ fuelectenerg-494 270 20 1 1 NUM fuelectenerg-494 270 21 multiplication multiplication NOUN fuelectenerg-494 270 22 for for ADP fuelectenerg-494 270 23 diminished-1 diminished-1 NUM fuelectenerg-494 270 24 operands operand NOUN fuelectenerg-494 270 25 , , PUNCT fuelectenerg-494 270 26 ” " PUNCT fuelectenerg-494 270 27 in in ADP fuelectenerg-494 270 28 signals signal NOUN fuelectenerg-494 270 29 , , PUNCT fuelectenerg-494 270 30 circuits circuit NOUN fuelectenerg-494 270 31 and and CCONJ fuelectenerg-494 270 32 systems system NOUN fuelectenerg-494 270 33 , , PUNCT fuelectenerg-494 270 34 2008 2008 NUM fuelectenerg-494 270 35 . . PUNCT fuelectenerg-494 271 1 scs scs PROPN fuelectenerg-494 271 2 2008 2008 NUM fuelectenerg-494 271 3 . . PUNCT fuelectenerg-494 272 1 2nd 2nd ADJ fuelectenerg-494 272 2 international international ADJ fuelectenerg-494 272 3 conference conference NOUN fuelectenerg-494 272 4 on on ADP fuelectenerg-494 272 5 , , PUNCT fuelectenerg-494 272 6 monastir monastir PROPN fuelectenerg-494 272 7 , , PUNCT fuelectenerg-494 272 8 tunisia tunisia PROPN fuelectenerg-494 272 9 , , PUNCT fuelectenerg-494 272 10 nov nov PROPN fuelectenerg-494 272 11 . . PROPN fuelectenerg-494 272 12 7–9 7–9 NUM fuelectenerg-494 272 13 , , PUNCT fuelectenerg-494 272 14 2008 2008 NUM fuelectenerg-494 272 15 , , PUNCT fuelectenerg-494 272 16 pp pp ADJ fuelectenerg-494 272 17 . . PUNCT fuelectenerg-494 273 1 1–5 1–5 X fuelectenerg-494 273 2 . . PUNCT fuelectenerg-494 274 1 [ [ X fuelectenerg-494 274 2 19 19 NUM fuelectenerg-494 274 3 ] ] X fuelectenerg-494 274 4 e. e. PROPN fuelectenerg-494 274 5 vassalos vassalos PROPN fuelectenerg-494 274 6 , , PUNCT fuelectenerg-494 274 7 d. d. PROPN fuelectenerg-494 274 8 bakalis bakalis PROPN fuelectenerg-494 274 9 , , PUNCT fuelectenerg-494 274 10 and and CCONJ fuelectenerg-494 274 11 h. h. PROPN fuelectenerg-494 274 12 vergos vergos PROPN fuelectenerg-494 274 13 , , PUNCT fuelectenerg-494 274 14 “ " PUNCT fuelectenerg-494 274 15 reverse reverse ADJ fuelectenerg-494 274 16 converters converter NOUN fuelectenerg-494 274 17 for for ADP fuelectenerg-494 274 18 rnss rns NOUN fuelectenerg-494 274 19 with with ADP fuelectenerg-494 274 20 diminished diminished ADJ fuelectenerg-494 274 21 - - PUNCT fuelectenerg-494 274 22 one one NUM fuelectenerg-494 274 23 encoded encode VERB fuelectenerg-494 274 24 channels channel NOUN fuelectenerg-494 274 25 , , PUNCT fuelectenerg-494 274 26 ” " PUNCT fuelectenerg-494 274 27 in in ADP fuelectenerg-494 274 28 eurocon eurocon NOUN fuelectenerg-494 274 29 , , PUNCT fuelectenerg-494 274 30 2013 2013 NUM fuelectenerg-494 274 31 ieee ieee NOUN fuelectenerg-494 274 32 , , PUNCT fuelectenerg-494 274 33 jul jul PROPN fuelectenerg-494 274 34 . . PROPN fuelectenerg-494 274 35 1–4 1–4 PROPN fuelectenerg-494 274 36 , , PUNCT fuelectenerg-494 274 37 2013 2013 NUM fuelectenerg-494 274 38 , , PUNCT fuelectenerg-494 274 39 pp pp ADJ fuelectenerg-494 274 40 . . PUNCT fuelectenerg-494 275 1 1798–1805 1798–1805 NUM fuelectenerg-494 275 2 . . PUNCT fuelectenerg-494 276 1 [ [ X fuelectenerg-494 276 2 20 20 NUM fuelectenerg-494 276 3 ] ] PUNCT fuelectenerg-494 276 4 b. b. PROPN fuelectenerg-494 276 5 vinnakota vinnakota PROPN fuelectenerg-494 276 6 and and CCONJ fuelectenerg-494 276 7 v. v. ADP fuelectenerg-494 276 8 v. v. PROPN fuelectenerg-494 276 9 b. b. PROPN fuelectenerg-494 276 10 rao rao PROPN fuelectenerg-494 276 11 , , PUNCT fuelectenerg-494 276 12 “ " PUNCT fuelectenerg-494 276 13 fast fast ADJ fuelectenerg-494 276 14 conversion conversion NOUN fuelectenerg-494 276 15 techniques technique NOUN fuelectenerg-494 276 16 for for ADP fuelectenerg-494 276 17 binary binary ADJ fuelectenerg-494 276 18 - - PUNCT fuelectenerg-494 276 19 residue residue NOUN fuelectenerg-494 276 20 number number NOUN fuelectenerg-494 276 21 systems system NOUN fuelectenerg-494 276 22 , , PUNCT fuelectenerg-494 276 23 ” " PUNCT fuelectenerg-494 276 24 ieee ieee NOUN fuelectenerg-494 276 25 trans tran NOUN fuelectenerg-494 276 26 . . PUNCT fuelectenerg-494 277 1 on on ADP fuelectenerg-494 277 2 circuits circuit NOUN fuelectenerg-494 277 3 and and CCONJ fuelectenerg-494 277 4 systems system NOUN fuelectenerg-494 277 5 - - PUNCT fuelectenerg-494 277 6 i i PRON fuelectenerg-494 277 7 : : PUNCT fuelectenerg-494 277 8 fundamental fundamental ADJ fuelectenerg-494 277 9 theories theory NOUN fuelectenerg-494 277 10 and and CCONJ fuelectenerg-494 277 11 applications application NOUN fuelectenerg-494 277 12 , , PUNCT fuelectenerg-494 277 13 vol vol NOUN fuelectenerg-494 277 14 . . PROPN fuelectenerg-494 277 15 41 41 NUM fuelectenerg-494 277 16 , , PUNCT fuelectenerg-494 277 17 no no INTJ fuelectenerg-494 277 18 . . NOUN fuelectenerg-494 277 19 12 12 NUM fuelectenerg-494 277 20 , , PUNCT fuelectenerg-494 277 21 pp pp ADJ fuelectenerg-494 277 22 . . PUNCT fuelectenerg-494 278 1 927–929 927–929 NUM fuelectenerg-494 278 2 , , PUNCT fuelectenerg-494 278 3 dec dec PROPN fuelectenerg-494 278 4 . . PROPN fuelectenerg-494 278 5 1994 1994 NUM fuelectenerg-494 278 6 . . PUNCT fuelectenerg-494 279 1 [ [ X fuelectenerg-494 279 2 21 21 NUM fuelectenerg-494 279 3 ] ] PUNCT fuelectenerg-494 279 4 s. s. PROPN fuelectenerg-494 279 5 j. j. PROPN fuelectenerg-494 279 6 piestrak piestrak PROPN fuelectenerg-494 279 7 , , PUNCT fuelectenerg-494 279 8 “ " PUNCT fuelectenerg-494 279 9 design design NOUN fuelectenerg-494 279 10 of of ADP fuelectenerg-494 279 11 residue residue NOUN fuelectenerg-494 279 12 generators generator NOUN fuelectenerg-494 279 13 and and CCONJ fuelectenerg-494 279 14 multioperand multioperand ADJ fuelectenerg-494 279 15 modular modular ADJ fuelectenerg-494 279 16 adders adder NOUN fuelectenerg-494 279 17 using use VERB fuelectenerg-494 279 18 carry carry VERB fuelectenerg-494 279 19 - - PUNCT fuelectenerg-494 279 20 save save NOUN fuelectenerg-494 279 21 adders adder NOUN fuelectenerg-494 279 22 , , PUNCT fuelectenerg-494 279 23 ” " PUNCT fuelectenerg-494 279 24 ieee ieee NOUN fuelectenerg-494 279 25 transactions transaction NOUN fuelectenerg-494 279 26 on on ADP fuelectenerg-494 279 27 computers computer NOUN fuelectenerg-494 279 28 , , PUNCT fuelectenerg-494 279 29 vol vol NOUN fuelectenerg-494 279 30 . . PROPN fuelectenerg-494 279 31 423 423 NUM fuelectenerg-494 279 32 , , PUNCT fuelectenerg-494 279 33 no no INTJ fuelectenerg-494 279 34 . . NOUN fuelectenerg-494 279 35 1 1 NUM fuelectenerg-494 279 36 , , PUNCT fuelectenerg-494 279 37 pp pp ADJ fuelectenerg-494 279 38 . . PUNCT fuelectenerg-494 280 1 68–77 68–77 NUM fuelectenerg-494 280 2 , , PUNCT fuelectenerg-494 280 3 jan jan PROPN fuelectenerg-494 280 4 . . PROPN fuelectenerg-494 280 5 1994 1994 NUM fuelectenerg-494 280 6 . . PUNCT fuelectenerg-494 281 1 [ [ X fuelectenerg-494 281 2 22 22 NUM fuelectenerg-494 281 3 ] ] X fuelectenerg-494 281 4 e. e. PROPN fuelectenerg-494 281 5 vassalos vassalos PROPN fuelectenerg-494 281 6 , , PUNCT fuelectenerg-494 281 7 d. d. PROPN fuelectenerg-494 281 8 bakalis bakalis PROPN fuelectenerg-494 281 9 , , PUNCT fuelectenerg-494 281 10 and and CCONJ fuelectenerg-494 281 11 h. h. PROPN fuelectenerg-494 281 12 vergos vergos PROPN fuelectenerg-494 281 13 , , PUNCT fuelectenerg-494 281 14 “ " PUNCT fuelectenerg-494 281 15 on on ADP fuelectenerg-494 281 16 the the DET fuelectenerg-494 281 17 design design NOUN fuelectenerg-494 281 18 of of ADP fuelectenerg-494 281 19 modulo modulo NOUN fuelectenerg-494 281 20 2n 2n ADJ fuelectenerg-494 281 21 ±1 ±1 VERB fuelectenerg-494 281 22 subtractors subtractor NOUN fuelectenerg-494 281 23 and and CCONJ fuelectenerg-494 281 24 adders adder NOUN fuelectenerg-494 281 25 / / SYM fuelectenerg-494 281 26 subtractors subtractor NOUN fuelectenerg-494 281 27 , , PUNCT fuelectenerg-494 281 28 ” " PUNCT fuelectenerg-494 281 29 circuits circuit NOUN fuelectenerg-494 281 30 syst syst PROPN fuelectenerg-494 281 31 signal signal PROPN fuelectenerg-494 281 32 process process NOUN fuelectenerg-494 281 33 , , PUNCT fuelectenerg-494 281 34 vol vol NOUN fuelectenerg-494 281 35 . . PROPN fuelectenerg-494 281 36 30 30 NUM fuelectenerg-494 281 37 , , PUNCT fuelectenerg-494 281 38 no no INTJ fuelectenerg-494 281 39 . . NOUN fuelectenerg-494 281 40 6 6 NUM fuelectenerg-494 281 41 , , PUNCT fuelectenerg-494 281 42 pp pp ADJ fuelectenerg-494 281 43 . . PUNCT fuelectenerg-494 282 1 1445–1461 1445–1461 NUM fuelectenerg-494 282 2 , , PUNCT fuelectenerg-494 282 3 2011 2011 NUM fuelectenerg-494 282 4 . . PUNCT fuelectenerg-494 283 1 [ [ X fuelectenerg-494 283 2 23 23 NUM fuelectenerg-494 283 3 ] ] X fuelectenerg-494 283 4 c. c. PROPN fuelectenerg-494 283 5 efstathiou efstathiou PROPN fuelectenerg-494 283 6 , , PUNCT fuelectenerg-494 283 7 h. h. PROPN fuelectenerg-494 283 8 vergos vergos PROPN fuelectenerg-494 283 9 , , PUNCT fuelectenerg-494 283 10 and and CCONJ fuelectenerg-494 283 11 d. d. PROPN fuelectenerg-494 283 12 nikolos nikolos PROPN fuelectenerg-494 283 13 , , PUNCT fuelectenerg-494 283 14 “ " PUNCT fuelectenerg-494 283 15 fast fast ADJ fuelectenerg-494 283 16 parallel parallel NOUN fuelectenerg-494 283 17 - - PUNCT fuelectenerg-494 283 18 prefix prefix NOUN fuelectenerg-494 283 19 modulo modulo NOUN fuelectenerg-494 283 20 2n+1 2n+1 NOUN fuelectenerg-494 283 21 adders adder NOUN fuelectenerg-494 283 22 , , PUNCT fuelectenerg-494 283 23 ” " PUNCT fuelectenerg-494 283 24 computers computer NOUN fuelectenerg-494 283 25 , , PUNCT fuelectenerg-494 283 26 ieee ieee NOUN fuelectenerg-494 283 27 transactions transaction NOUN fuelectenerg-494 283 28 on on ADP fuelectenerg-494 283 29 , , PUNCT fuelectenerg-494 283 30 vol vol NOUN fuelectenerg-494 283 31 . . PROPN fuelectenerg-494 284 1 53 53 NUM fuelectenerg-494 284 2 , , PUNCT fuelectenerg-494 284 3 no no INTJ fuelectenerg-494 284 4 . . NOUN fuelectenerg-494 284 5 9 9 NUM fuelectenerg-494 284 6 , , PUNCT fuelectenerg-494 284 7 pp pp ADJ fuelectenerg-494 284 8 . . PUNCT fuelectenerg-494 285 1 1211–1216 1211–1216 NUM fuelectenerg-494 285 2 , , PUNCT fuelectenerg-494 285 3 sep sep PROPN fuelectenerg-494 285 4 . . PROPN fuelectenerg-494 286 1 2004 2004 NUM fuelectenerg-494 286 2 . . PUNCT fuelectenerg-494 287 1 [ [ X fuelectenerg-494 287 2 24 24 NUM fuelectenerg-494 287 3 ] ] X fuelectenerg-494 287 4 s. s. PROPN fuelectenerg-494 287 5 v. v. ADP fuelectenerg-494 287 6 padmajarani padmajarani PROPN fuelectenerg-494 287 7 and and CCONJ fuelectenerg-494 287 8 m. m. NOUN fuelectenerg-494 287 9 muralidhar muralidhar PROPN fuelectenerg-494 287 10 , , PUNCT fuelectenerg-494 287 11 “ " PUNCT fuelectenerg-494 287 12 a a DET fuelectenerg-494 287 13 new new ADJ fuelectenerg-494 287 14 approach approach NOUN fuelectenerg-494 287 15 to to PART fuelectenerg-494 287 16 implement implement VERB fuelectenerg-494 287 17 parallel parallel ADJ fuelectenerg-494 287 18 prefix prefix NOUN fuelectenerg-494 287 19 adders adder NOUN fuelectenerg-494 287 20 in in ADP fuelectenerg-494 287 21 an an DET fuelectenerg-494 287 22 fpga fpga NOUN fuelectenerg-494 287 23 , , PUNCT fuelectenerg-494 287 24 ” " PUNCT fuelectenerg-494 287 25 international international ADJ fuelectenerg-494 287 26 journal journal NOUN fuelectenerg-494 287 27 of of ADP fuelectenerg-494 287 28 engineering engineering NOUN fuelectenerg-494 287 29 research research NOUN fuelectenerg-494 287 30 and and CCONJ fuelectenerg-494 287 31 applications application NOUN fuelectenerg-494 287 32 ( ( PUNCT fuelectenerg-494 287 33 ijera ijera NOUN fuelectenerg-494 287 34 ) ) PUNCT fuelectenerg-494 287 35 , , PUNCT fuelectenerg-494 287 36 vol vol NOUN fuelectenerg-494 287 37 . . PROPN fuelectenerg-494 287 38 2 2 NUM fuelectenerg-494 287 39 , , PUNCT fuelectenerg-494 287 40 no no INTJ fuelectenerg-494 287 41 . . NOUN fuelectenerg-494 287 42 4 4 NUM fuelectenerg-494 287 43 , , PUNCT fuelectenerg-494 287 44 pp pp ADJ fuelectenerg-494 287 45 . . PUNCT fuelectenerg-494 287 46 1524–1528 1524–1528 NUM fuelectenerg-494 287 47 , , PUNCT fuelectenerg-494 287 48 july july PROPN fuelectenerg-494 287 49 - - PUNCT fuelectenerg-494 287 50 august august PROPN fuelectenerg-494 287 51 2012 2012 NUM fuelectenerg-494 287 52 . . PUNCT fuelectenerg-494 288 1 [ [ X fuelectenerg-494 288 2 online online X fuelectenerg-494 288 3 ] ] X fuelectenerg-494 288 4 . . PUNCT fuelectenerg-494 289 1 available available ADJ fuelectenerg-494 289 2 : : PUNCT fuelectenerg-494 290 1 www.ijera.com www.ijera.com X