id sid tid token lemma pos ajst-5301 1 1 academic academic ADJ ajst-5301 1 2 journal journal NOUN ajst-5301 1 3 of of ADP ajst-5301 1 4 science science NOUN ajst-5301 1 5 and and CCONJ ajst-5301 1 6 technology technology NOUN ajst-5301 1 7 issn issn NOUN ajst-5301 1 8 : : PUNCT ajst-5301 1 9 2771 2771 NUM ajst-5301 1 10 - - SYM ajst-5301 1 11 3032 3032 NUM ajst-5301 1 12 | | NOUN ajst-5301 1 13 vol vol NOUN ajst-5301 1 14 . . PROPN ajst-5301 2 1 5 5 NUM ajst-5301 2 2 , , PUNCT ajst-5301 2 3 no no INTJ ajst-5301 2 4 . . NOUN ajst-5301 2 5 1 1 NUM ajst-5301 2 6 , , PUNCT ajst-5301 2 7 2023 2023 NUM ajst-5301 2 8 32 32 NUM ajst-5301 2 9 research research NOUN ajst-5301 2 10 and and CCONJ ajst-5301 2 11 implementation implementation NOUN ajst-5301 2 12 of of ADP ajst-5301 2 13 a a DET ajst-5301 2 14 numerical numerical PROPN ajst-5301 2 15 control control PROPN ajst-5301 2 16 oscillator oscillator NOUN ajst-5301 2 17 with with ADP ajst-5301 2 18 improved improved ADJ ajst-5301 2 19 pipelined pipeline VERB ajst-5301 2 20 cordic cordic ADJ ajst-5301 2 21 algorithm algorithm PROPN ajst-5301 2 22 yuechuan yuechuan PROPN ajst-5301 2 23 chen chen PROPN ajst-5301 2 24 , , PUNCT ajst-5301 2 25 yu yu PROPN ajst-5301 2 26 liu liu PROPN ajst-5301 2 27 chongqing chongqing PROPN ajst-5301 2 28 university university PROPN ajst-5301 2 29 of of ADP ajst-5301 2 30 posts post NOUN ajst-5301 2 31 and and CCONJ ajst-5301 2 32 telecommunications telecommunication NOUN ajst-5301 2 33 , , PUNCT ajst-5301 2 34 sensor sensor NOUN ajst-5301 2 35 components component NOUN ajst-5301 2 36 and and CCONJ ajst-5301 2 37 microsystem microsystem NOUN ajst-5301 2 38 laboratory laboratory NOUN ajst-5301 2 39 , , PUNCT ajst-5301 2 40 chongqing chongqing PROPN ajst-5301 2 41 , , PUNCT ajst-5301 2 42 400065 400065 NUM ajst-5301 2 43 , , PUNCT ajst-5301 2 44 china china PROPN ajst-5301 2 45 abstract abstract PROPN ajst-5301 2 46 : : PUNCT ajst-5301 2 47 as as SCONJ ajst-5301 2 48 the the DET ajst-5301 2 49 recognized recognize VERB ajst-5301 2 50 core core NOUN ajst-5301 2 51 of of ADP ajst-5301 2 52 electronic electronic ADJ ajst-5301 2 53 systems system NOUN ajst-5301 2 54 , , PUNCT ajst-5301 2 55 frequency frequency NOUN ajst-5301 2 56 synthesizers synthesizer NOUN ajst-5301 2 57 have have AUX ajst-5301 2 58 been be AUX ajst-5301 2 59 applied apply VERB ajst-5301 2 60 in in ADP ajst-5301 2 61 many many ADJ ajst-5301 2 62 communication communication NOUN ajst-5301 2 63 fields field NOUN ajst-5301 2 64 . . PUNCT ajst-5301 3 1 nc nc PROPN ajst-5301 3 2 oscillator oscillator PROPN ajst-5301 3 3 ( ( PUNCT ajst-5301 3 4 nco nco PROPN ajst-5301 3 5 ) ) PUNCT ajst-5301 3 6 is be AUX ajst-5301 3 7 the the DET ajst-5301 3 8 main main ADJ ajst-5301 3 9 component component NOUN ajst-5301 3 10 of of ADP ajst-5301 3 11 the the DET ajst-5301 3 12 frequency frequency NOUN ajst-5301 3 13 synthesizer synthesizer NOUN ajst-5301 3 14 . . PUNCT ajst-5301 4 1 it it PRON ajst-5301 4 2 helps help VERB ajst-5301 4 3 to to PART ajst-5301 4 4 generate generate VERB ajst-5301 4 5 high high ADJ ajst-5301 4 6 - - PUNCT ajst-5301 4 7 precision precision NOUN ajst-5301 4 8 and and CCONJ ajst-5301 4 9 high high ADJ ajst-5301 4 10 - - PUNCT ajst-5301 4 11 frequency frequency NOUN ajst-5301 4 12 signals signal NOUN ajst-5301 4 13 , , PUNCT ajst-5301 4 14 so so SCONJ ajst-5301 4 15 it it PRON ajst-5301 4 16 has have AUX ajst-5301 4 17 been be AUX ajst-5301 4 18 widely widely ADV ajst-5301 4 19 used use VERB ajst-5301 4 20 . . PUNCT ajst-5301 5 1 nco nco NOUN ajst-5301 5 2 implementation implementation NOUN ajst-5301 5 3 methods method NOUN ajst-5301 5 4 include include VERB ajst-5301 5 5 table table NOUN ajst-5301 5 6 lookup lookup NOUN ajst-5301 5 7 method method NOUN ajst-5301 5 8 , , PUNCT ajst-5301 5 9 polynomial polynomial ADJ ajst-5301 5 10 expansion expansion NOUN ajst-5301 5 11 method method NOUN ajst-5301 5 12 , , PUNCT ajst-5301 5 13 coordinate coordinate NOUN ajst-5301 5 14 rotation rotation NOUN ajst-5301 5 15 digital digital ADJ ajst-5301 5 16 computer computer NOUN ajst-5301 5 17 ( ( PUNCT ajst-5301 5 18 cordic cordic ADJ ajst-5301 5 19 ) ) PUNCT ajst-5301 5 20 algorithm algorithm NOUN ajst-5301 5 21 , , PUNCT ajst-5301 5 22 etc etc X ajst-5301 5 23 . . X ajst-5301 5 24 cordic cordic ADJ ajst-5301 5 25 algorithm algorithm NOUN ajst-5301 5 26 is be AUX ajst-5301 5 27 one one NUM ajst-5301 5 28 of of ADP ajst-5301 5 29 many many ADJ ajst-5301 5 30 commonly commonly ADV ajst-5301 5 31 used use VERB ajst-5301 5 32 methods method NOUN ajst-5301 5 33 in in ADP ajst-5301 5 34 trigonometric trigonometric ADJ ajst-5301 5 35 function function NOUN ajst-5301 5 36 calculation calculation NOUN ajst-5301 5 37 and and CCONJ ajst-5301 5 38 digital digital ADJ ajst-5301 5 39 signal signal NOUN ajst-5301 5 40 processing processing NOUN ajst-5301 5 41 , , PUNCT ajst-5301 5 42 and and CCONJ ajst-5301 5 43 is be AUX ajst-5301 5 44 often often ADV ajst-5301 5 45 used use VERB ajst-5301 5 46 as as ADP ajst-5301 5 47 the the DET ajst-5301 5 48 core core NOUN ajst-5301 5 49 of of ADP ajst-5301 5 50 dds dds PROPN ajst-5301 5 51 ( ( PUNCT ajst-5301 5 52 direct direct VERB ajst-5301 5 53 digital digital ADJ ajst-5301 5 54 synthesis synthesis NOUN ajst-5301 5 55 ) ) PUNCT ajst-5301 5 56 to to PART ajst-5301 5 57 generate generate VERB ajst-5301 5 58 signals signal NOUN ajst-5301 5 59 . . PUNCT ajst-5301 6 1 compared compare VERB ajst-5301 6 2 with with ADP ajst-5301 6 3 table table NOUN ajst-5301 6 4 lookup lookup NOUN ajst-5301 6 5 and and CCONJ ajst-5301 6 6 polynomial polynomial ADJ ajst-5301 6 7 expansion expansion NOUN ajst-5301 6 8 , , PUNCT ajst-5301 6 9 cordic cordic ADJ ajst-5301 6 10 algorithm algorithm NOUN ajst-5301 6 11 has have VERB ajst-5301 6 12 higher high ADJ ajst-5301 6 13 efficiency efficiency NOUN ajst-5301 6 14 in in ADP ajst-5301 6 15 signal signal ADJ ajst-5301 6 16 generation generation NOUN ajst-5301 6 17 and and CCONJ ajst-5301 6 18 hardware hardware NOUN ajst-5301 6 19 utilization utilization NOUN ajst-5301 6 20 . . PUNCT ajst-5301 7 1 in in ADP ajst-5301 7 2 view view NOUN ajst-5301 7 3 of of ADP ajst-5301 7 4 the the DET ajst-5301 7 5 disadvantages disadvantage NOUN ajst-5301 7 6 of of ADP ajst-5301 7 7 traditional traditional ADJ ajst-5301 7 8 cordic cordic ADJ ajst-5301 7 9 algorithm algorithm NOUN ajst-5301 7 10 , , PUNCT ajst-5301 7 11 which which PRON ajst-5301 7 12 takes take VERB ajst-5301 7 13 up up ADP ajst-5301 7 14 large large ADJ ajst-5301 7 15 resources resource NOUN ajst-5301 7 16 and and CCONJ ajst-5301 7 17 has have VERB ajst-5301 7 18 relatively relatively ADV ajst-5301 7 19 slow slow ADJ ajst-5301 7 20 calculation calculation NOUN ajst-5301 7 21 speed speed NOUN ajst-5301 7 22 , , PUNCT ajst-5301 7 23 in in ADP ajst-5301 7 24 order order NOUN ajst-5301 7 25 to to PART ajst-5301 7 26 improve improve VERB ajst-5301 7 27 the the DET ajst-5301 7 28 output output NOUN ajst-5301 7 29 efficiency efficiency NOUN ajst-5301 7 30 , , PUNCT ajst-5301 7 31 this this DET ajst-5301 7 32 paper paper NOUN ajst-5301 7 33 uses use VERB ajst-5301 7 34 an an DET ajst-5301 7 35 efficient efficient ADJ ajst-5301 7 36 12 12 NUM ajst-5301 7 37 - - PUNCT ajst-5301 7 38 stage stage NOUN ajst-5301 7 39 pipelined pipeline VERB ajst-5301 7 40 cordic cordic ADJ ajst-5301 7 41 architecture architecture NOUN ajst-5301 7 42 and and CCONJ ajst-5301 7 43 a a DET ajst-5301 7 44 very very ADV ajst-5301 7 45 small small ADJ ajst-5301 7 46 lookup lookup NOUN ajst-5301 7 47 table table NOUN ajst-5301 7 48 ( ( PUNCT ajst-5301 7 49 lut lut PROPN ajst-5301 7 50 ) ) PUNCT ajst-5301 7 51 to to PART ajst-5301 7 52 implement implement VERB ajst-5301 7 53 a a DET ajst-5301 7 54 sine sine ADJ ajst-5301 7 55 wave wave NOUN ajst-5301 7 56 generator generator PROPN ajst-5301 7 57 . . PUNCT ajst-5301 8 1 the the DET ajst-5301 8 2 system system NOUN ajst-5301 8 3 is be AUX ajst-5301 8 4 coded code VERB ajst-5301 8 5 and and CCONJ ajst-5301 8 6 simulated simulate VERB ajst-5301 8 7 in in ADP ajst-5301 8 8 quartus quartus PROPN ajst-5301 8 9 and and CCONJ ajst-5301 8 10 modelsim modelsim PROPN ajst-5301 8 11 . . PUNCT ajst-5301 9 1 the the DET ajst-5301 9 2 results result NOUN ajst-5301 9 3 show show VERB ajst-5301 9 4 that that SCONJ ajst-5301 9 5 the the DET ajst-5301 9 6 proposed propose VERB ajst-5301 9 7 structure structure NOUN ajst-5301 9 8 can can AUX ajst-5301 9 9 increase increase VERB ajst-5301 9 10 the the DET ajst-5301 9 11 operating operating NOUN ajst-5301 9 12 speed speed NOUN ajst-5301 9 13 of of ADP ajst-5301 9 14 the the DET ajst-5301 9 15 system system NOUN ajst-5301 9 16 from from ADP ajst-5301 9 17 217.77 217.77 NUM ajst-5301 9 18 mhz mhz NOUN ajst-5301 9 19 to to ADP ajst-5301 9 20 291.04 291.04 NUM ajst-5301 9 21 mhz mhz NOUN ajst-5301 9 22 , , PUNCT ajst-5301 9 23 and and CCONJ ajst-5301 9 24 improve improve VERB ajst-5301 9 25 the the DET ajst-5301 9 26 output output NOUN ajst-5301 9 27 efficiency efficiency NOUN ajst-5301 9 28 of of ADP ajst-5301 9 29 the the DET ajst-5301 9 30 system system NOUN ajst-5301 9 31 . . PUNCT ajst-5301 10 1 keywords keyword NOUN ajst-5301 10 2 : : PUNCT ajst-5301 10 3 cnc cnc PROPN ajst-5301 10 4 oscillator oscillator NOUN ajst-5301 10 5 , , PUNCT ajst-5301 10 6 waveform waveform VERB ajst-5301 10 7 generator generator NOUN ajst-5301 10 8 , , PUNCT ajst-5301 10 9 cordic cordic ADJ ajst-5301 10 10 algorithm algorithm NOUN ajst-5301 10 11 , , PUNCT ajst-5301 10 12 parallel parallel ADJ ajst-5301 10 13 pipeline pipeline NOUN ajst-5301 10 14 structure structure NOUN ajst-5301 10 15 , , PUNCT ajst-5301 10 16 improved improved ADJ ajst-5301 10 17 pipeline pipeline NOUN ajst-5301 10 18 . . PUNCT ajst-5301 11 1 1 1 X ajst-5301 11 2 . . X ajst-5301 11 3 introduction introduction NOUN ajst-5301 11 4 digital digital PROPN ajst-5301 11 5 controlled control VERB ajst-5301 11 6 oscillator oscillator NOUN ajst-5301 11 7 ( ( PUNCT ajst-5301 11 8 nco nco NOUN ajst-5301 11 9 ) ) PUNCT ajst-5301 11 10 is be AUX ajst-5301 11 11 an an DET ajst-5301 11 12 important important ADJ ajst-5301 11 13 part part NOUN ajst-5301 11 14 of of ADP ajst-5301 11 15 software software NOUN ajst-5301 11 16 radio radio NOUN ajst-5301 11 17 , , PUNCT ajst-5301 11 18 direct direct ADJ ajst-5301 11 19 digital digital ADJ ajst-5301 11 20 synthesizer synthesizer NOUN ajst-5301 11 21 ( ( PUNCT ajst-5301 11 22 dds dds PROPN ajst-5301 11 23 ) ) PUNCT ajst-5301 11 24 , , PUNCT ajst-5301 11 25 fast fast ADJ ajst-5301 11 26 fourier fourier NOUN ajst-5301 11 27 transform transform NOUN ajst-5301 11 28 ( ( PUNCT ajst-5301 11 29 fft fft PROPN ajst-5301 11 30 ) ) PUNCT ajst-5301 11 31 , , PUNCT ajst-5301 11 32 etc etc X ajst-5301 11 33 . . X ajst-5301 11 34 , , PUNCT ajst-5301 11 35 and and CCONJ ajst-5301 11 36 also also ADV ajst-5301 11 37 one one NUM ajst-5301 11 38 of of ADP ajst-5301 11 39 the the DET ajst-5301 11 40 main main ADJ ajst-5301 11 41 factors factor NOUN ajst-5301 11 42 that that PRON ajst-5301 11 43 determine determine VERB ajst-5301 11 44 its its PRON ajst-5301 11 45 performance performance NOUN ajst-5301 11 46 . . PUNCT ajst-5301 12 1 it it PRON ajst-5301 12 2 has have VERB ajst-5301 12 3 the the DET ajst-5301 12 4 characteristics characteristic NOUN ajst-5301 12 5 of of ADP ajst-5301 12 6 high high ADJ ajst-5301 12 7 frequency frequency NOUN ajst-5301 12 8 accuracy accuracy NOUN ajst-5301 12 9 , , PUNCT ajst-5301 12 10 short short ADJ ajst-5301 12 11 conversion conversion NOUN ajst-5301 12 12 time time NOUN ajst-5301 12 13 , , PUNCT ajst-5301 12 14 high high ADJ ajst-5301 12 15 spectral spectral ADJ ajst-5301 12 16 purity purity NOUN ajst-5301 12 17 and and CCONJ ajst-5301 12 18 easy easy ADJ ajst-5301 12 19 programming programming NOUN ajst-5301 12 20 of of ADP ajst-5301 12 21 frequency frequency NOUN ajst-5301 12 22 phase phase NOUN ajst-5301 12 23 , , PUNCT ajst-5301 12 24 therefore therefore ADV ajst-5301 12 25 , , PUNCT ajst-5301 12 26 it it PRON ajst-5301 12 27 is be AUX ajst-5301 12 28 widely widely ADV ajst-5301 12 29 used use VERB ajst-5301 12 30 in in ADP ajst-5301 12 31 software software NOUN ajst-5301 12 32 radio radio NOUN ajst-5301 12 33 digital digital ADJ ajst-5301 12 34 up up ADP ajst-5301 12 35 - - PUNCT ajst-5301 12 36 conversion conversion NOUN ajst-5301 12 37 , , PUNCT ajst-5301 12 38 down down ADJ ajst-5301 12 39 - - PUNCT ajst-5301 12 40 conversion conversion NOUN ajst-5301 12 41 and and CCONJ ajst-5301 12 42 various various ADJ ajst-5301 12 43 frequency frequency NOUN ajst-5301 12 44 and and CCONJ ajst-5301 12 45 phase phase NOUN ajst-5301 12 46 digital digital ADJ ajst-5301 12 47 modulation modulation NOUN ajst-5301 12 48 and and CCONJ ajst-5301 12 49 demodulation demodulation NOUN ajst-5301 12 50 systems system NOUN ajst-5301 12 51 . . PUNCT ajst-5301 13 1 with with ADP ajst-5301 13 2 the the DET ajst-5301 13 3 improvement improvement NOUN ajst-5301 13 4 of of ADP ajst-5301 13 5 chip chip NOUN ajst-5301 13 6 integration integration NOUN ajst-5301 13 7 , , PUNCT ajst-5301 13 8 digital digital PROPN ajst-5301 13 9 controlled control VERB ajst-5301 13 10 oscillators oscillator NOUN ajst-5301 13 11 are be AUX ajst-5301 13 12 more more ADV ajst-5301 13 13 and and CCONJ ajst-5301 13 14 more more ADV ajst-5301 13 15 widely widely ADV ajst-5301 13 16 used use VERB ajst-5301 13 17 in in ADP ajst-5301 13 18 signal signal ADJ ajst-5301 13 19 processing processing NOUN ajst-5301 13 20 , , PUNCT ajst-5301 13 21 digital digital ADJ ajst-5301 13 22 communication communication NOUN ajst-5301 13 23 , , PUNCT ajst-5301 13 24 modulation modulation NOUN ajst-5301 13 25 and and CCONJ ajst-5301 13 26 demodulation demodulation NOUN ajst-5301 13 27 , , PUNCT ajst-5301 13 28 frequency frequency NOUN ajst-5301 13 29 conversion conversion NOUN ajst-5301 13 30 and and CCONJ ajst-5301 13 31 speed speed NOUN ajst-5301 13 32 regulation regulation NOUN ajst-5301 13 33 , , PUNCT ajst-5301 13 34 guidance guidance NOUN ajst-5301 13 35 control control NOUN ajst-5301 13 36 , , PUNCT ajst-5301 13 37 power power NOUN ajst-5301 13 38 electronics electronic NOUN ajst-5301 13 39 and and CCONJ ajst-5301 13 40 other other ADJ ajst-5301 13 41 fields field NOUN ajst-5301 13 42 . . PUNCT ajst-5301 14 1 in in ADP ajst-5301 14 2 order order NOUN ajst-5301 14 3 to to PART ajst-5301 14 4 effectively effectively ADV ajst-5301 14 5 improve improve VERB ajst-5301 14 6 the the DET ajst-5301 14 7 accuracy accuracy NOUN ajst-5301 14 8 of of ADP ajst-5301 14 9 mems mem NOUN ajst-5301 14 10 gyroscope gyroscope NOUN ajst-5301 14 11 , , PUNCT ajst-5301 14 12 it it PRON ajst-5301 14 13 is be AUX ajst-5301 14 14 an an DET ajst-5301 14 15 effective effective ADJ ajst-5301 14 16 and and CCONJ ajst-5301 14 17 stable stable ADJ ajst-5301 14 18 way way NOUN ajst-5301 14 19 to to PART ajst-5301 14 20 convert convert VERB ajst-5301 14 21 the the DET ajst-5301 14 22 analog analog NOUN ajst-5301 14 23 measurement measurement NOUN ajst-5301 14 24 and and CCONJ ajst-5301 14 25 control control NOUN ajst-5301 14 26 circuit circuit NOUN ajst-5301 14 27 in in ADP ajst-5301 14 28 the the DET ajst-5301 14 29 measurement measurement NOUN ajst-5301 14 30 and and CCONJ ajst-5301 14 31 control control NOUN ajst-5301 14 32 circuit circuit PROPN ajst-5301 14 33 of of ADP ajst-5301 14 34 micro micro ADJ ajst-5301 14 35 gyroscope gyroscope NOUN ajst-5301 14 36 into into ADP ajst-5301 14 37 digital digital ADJ ajst-5301 14 38 measurement measurement NOUN ajst-5301 14 39 and and CCONJ ajst-5301 14 40 control control NOUN ajst-5301 14 41 circuit circuit NOUN ajst-5301 14 42 . . PUNCT ajst-5301 15 1 in in ADP ajst-5301 15 2 the the DET ajst-5301 15 3 digital digital ADJ ajst-5301 15 4 measurement measurement NOUN ajst-5301 15 5 and and CCONJ ajst-5301 15 6 control control PROPN ajst-5301 15 7 circuit circuit PROPN ajst-5301 15 8 , , PUNCT ajst-5301 15 9 the the DET ajst-5301 15 10 driving drive VERB ajst-5301 15 11 circuit circuit NOUN ajst-5301 15 12 plays play VERB ajst-5301 15 13 a a DET ajst-5301 15 14 decisive decisive ADJ ajst-5301 15 15 role role NOUN ajst-5301 15 16 . . PUNCT ajst-5301 16 1 the the DET ajst-5301 16 2 main main ADJ ajst-5301 16 3 function function NOUN ajst-5301 16 4 of of ADP ajst-5301 16 5 this this DET ajst-5301 16 6 circuit circuit NOUN ajst-5301 16 7 is be AUX ajst-5301 16 8 to to PART ajst-5301 16 9 stabilize stabilize VERB ajst-5301 16 10 the the DET ajst-5301 16 11 output output NOUN ajst-5301 16 12 frequency frequency NOUN ajst-5301 16 13 and and CCONJ ajst-5301 16 14 amplitude amplitude NOUN ajst-5301 16 15 of of ADP ajst-5301 16 16 the the DET ajst-5301 16 17 mems mem NOUN ajst-5301 16 18 gyroscope gyroscope NOUN ajst-5301 16 19 and and CCONJ ajst-5301 16 20 realize realize VERB ajst-5301 16 21 the the DET ajst-5301 16 22 stable stable ADJ ajst-5301 16 23 operation operation NOUN ajst-5301 16 24 of of ADP ajst-5301 16 25 the the DET ajst-5301 16 26 gyroscope gyroscope NOUN ajst-5301 16 27 . . PUNCT ajst-5301 17 1 the the DET ajst-5301 17 2 digital digital ADJ ajst-5301 17 3 phaselocked phaselocke VERB ajst-5301 17 4 loop loop NOUN ajst-5301 17 5 is be AUX ajst-5301 17 6 mainly mainly ADV ajst-5301 17 7 used use VERB ajst-5301 17 8 to to PART ajst-5301 17 9 stabilize stabilize VERB ajst-5301 17 10 the the DET ajst-5301 17 11 output output NOUN ajst-5301 17 12 frequency frequency NOUN ajst-5301 17 13 . . PUNCT ajst-5301 18 1 as as ADP ajst-5301 18 2 an an DET ajst-5301 18 3 important important ADJ ajst-5301 18 4 part part NOUN ajst-5301 18 5 of of ADP ajst-5301 18 6 the the DET ajst-5301 18 7 digital digital ADJ ajst-5301 18 8 phase phase NOUN ajst-5301 18 9 - - PUNCT ajst-5301 18 10 locked lock VERB ajst-5301 18 11 loop loop NOUN ajst-5301 18 12 , , PUNCT ajst-5301 18 13 the the DET ajst-5301 18 14 digital digital PROPN ajst-5301 18 15 controlled control VERB ajst-5301 18 16 oscillator oscillator NOUN ajst-5301 18 17 ( ( PUNCT ajst-5301 18 18 nco nco PROPN ajst-5301 18 19 ) ) PUNCT ajst-5301 18 20 plays play VERB ajst-5301 18 21 a a DET ajst-5301 18 22 vital vital ADJ ajst-5301 18 23 role role NOUN ajst-5301 18 24 in in ADP ajst-5301 18 25 the the DET ajst-5301 18 26 performance performance NOUN ajst-5301 18 27 of of ADP ajst-5301 18 28 the the DET ajst-5301 18 29 whole whole ADJ ajst-5301 18 30 digital digital ADJ ajst-5301 18 31 phase phase NOUN ajst-5301 18 32 - - PUNCT ajst-5301 18 33 locked lock VERB ajst-5301 18 34 loop loop NOUN ajst-5301 18 35 . . PUNCT ajst-5301 19 1 therefore therefore ADV ajst-5301 19 2 , , PUNCT ajst-5301 19 3 the the DET ajst-5301 19 4 design design NOUN ajst-5301 19 5 of of ADP ajst-5301 19 6 high high ADJ ajst-5301 19 7 - - PUNCT ajst-5301 19 8 precision precision NOUN ajst-5301 19 9 numerical numerical PROPN ajst-5301 19 10 control control PROPN ajst-5301 19 11 oscillator oscillator PROPN ajst-5301 19 12 is be AUX ajst-5301 19 13 the the DET ajst-5301 19 14 focus focus NOUN ajst-5301 19 15 and and CCONJ ajst-5301 19 16 difficulty difficulty NOUN ajst-5301 19 17 of of ADP ajst-5301 19 18 the the DET ajst-5301 19 19 whole whole ADJ ajst-5301 19 20 circuit circuit NOUN ajst-5301 19 21 . . PUNCT ajst-5301 20 1 the the DET ajst-5301 20 2 traditional traditional ADJ ajst-5301 20 3 implementation implementation NOUN ajst-5301 20 4 methods method NOUN ajst-5301 20 5 of of ADP ajst-5301 20 6 nco nco NOUN ajst-5301 20 7 mainly mainly ADV ajst-5301 20 8 include include VERB ajst-5301 20 9 table table NOUN ajst-5301 20 10 lookup lookup NOUN ajst-5301 20 11 method method NOUN ajst-5301 20 12 , , PUNCT ajst-5301 20 13 polynomial polynomial ADJ ajst-5301 20 14 expansion expansion NOUN ajst-5301 20 15 method method NOUN ajst-5301 20 16 or or CCONJ ajst-5301 20 17 approximation approximation NOUN ajst-5301 20 18 method method NOUN ajst-5301 20 19 [ [ X ajst-5301 20 20 1 1 NUM ajst-5301 20 21 ] ] PUNCT ajst-5301 20 22 , , PUNCT ajst-5301 20 23 but but CCONJ ajst-5301 20 24 these these DET ajst-5301 20 25 methods method NOUN ajst-5301 20 26 are be AUX ajst-5301 20 27 difficult difficult ADJ ajst-5301 20 28 to to PART ajst-5301 20 29 give give VERB ajst-5301 20 30 consideration consideration NOUN ajst-5301 20 31 to to PART ajst-5301 20 32 speed speed VERB ajst-5301 20 33 , , PUNCT ajst-5301 20 34 accuracy accuracy NOUN ajst-5301 20 35 and and CCONJ ajst-5301 20 36 resources resource NOUN ajst-5301 20 37 . . PUNCT ajst-5301 21 1 at at ADP ajst-5301 21 2 present present ADJ ajst-5301 21 3 , , PUNCT ajst-5301 21 4 the the DET ajst-5301 21 5 numerical numerical PROPN ajst-5301 21 6 control control PROPN ajst-5301 21 7 oscillator oscillator PROPN ajst-5301 21 8 is be AUX ajst-5301 21 9 mainly mainly ADV ajst-5301 21 10 realized realize VERB ajst-5301 21 11 by by ADP ajst-5301 21 12 cordic cordic ADJ ajst-5301 21 13 algorithm algorithm NOUN ajst-5301 21 14 . . PUNCT ajst-5301 22 1 compared compare VERB ajst-5301 22 2 with with ADP ajst-5301 22 3 the the DET ajst-5301 22 4 traditional traditional ADJ ajst-5301 22 5 implementation implementation NOUN ajst-5301 22 6 method method NOUN ajst-5301 22 7 of of ADP ajst-5301 22 8 nco nco NOUN ajst-5301 22 9 , , PUNCT ajst-5301 22 10 cordic cordic ADJ ajst-5301 22 11 algorithm algorithm NOUN ajst-5301 22 12 can can AUX ajst-5301 22 13 generate generate VERB ajst-5301 22 14 high high ADJ ajst-5301 22 15 - - PUNCT ajst-5301 22 16 precision precision NOUN ajst-5301 22 17 sine sine NOUN ajst-5301 22 18 and and CCONJ ajst-5301 22 19 cosine cosine NOUN ajst-5301 22 20 waveforms waveform NOUN ajst-5301 22 21 without without ADP ajst-5301 22 22 using use VERB ajst-5301 22 23 multipliers multiplier NOUN ajst-5301 22 24 , , PUNCT ajst-5301 22 25 but but CCONJ ajst-5301 22 26 only only ADV ajst-5301 22 27 simple simple ADJ ajst-5301 22 28 shift shift NOUN ajst-5301 22 29 and and CCONJ ajst-5301 22 30 addition addition NOUN ajst-5301 22 31 operations operation NOUN ajst-5301 22 32 , , PUNCT ajst-5301 22 33 especially especially ADV ajst-5301 22 34 suitable suitable ADJ ajst-5301 22 35 for for ADP ajst-5301 22 36 fpga fpga PROPN ajst-5301 22 37 hardware hardware NOUN ajst-5301 22 38 implementation implementation NOUN ajst-5301 23 1 [ [ X ajst-5301 23 2 2 2 NUM ajst-5301 23 3 ] ] PUNCT ajst-5301 23 4 . . PUNCT ajst-5301 24 1 cordic cordic ADJ ajst-5301 24 2 ( ( PUNCT ajst-5301 24 3 coordinate coordinate NOUN ajst-5301 24 4 rotation rotation NOUN ajst-5301 24 5 digital digital ADJ ajst-5301 24 6 computer computer NOUN ajst-5301 24 7 ) ) PUNCT ajst-5301 24 8 algorithm algorithm NOUN ajst-5301 24 9 , , PUNCT ajst-5301 24 10 namely namely ADV ajst-5301 24 11 coordinate coordinate VERB ajst-5301 24 12 rotation rotation NOUN ajst-5301 24 13 digital digital ADJ ajst-5301 24 14 calculation calculation NOUN ajst-5301 24 15 method method NOUN ajst-5301 24 16 , , PUNCT ajst-5301 24 17 is be AUX ajst-5301 24 18 an an DET ajst-5301 24 19 effective effective ADJ ajst-5301 24 20 and and CCONJ ajst-5301 24 21 practical practical ADJ ajst-5301 24 22 method method NOUN ajst-5301 24 23 for for ADP ajst-5301 24 24 generating generate VERB ajst-5301 24 25 sine sine NOUN ajst-5301 24 26 and and CCONJ ajst-5301 24 27 cosine cosine NOUN ajst-5301 24 28 waveforms waveform NOUN ajst-5301 24 29 . . PUNCT ajst-5301 25 1 it it PRON ajst-5301 25 2 was be AUX ajst-5301 25 3 first first ADV ajst-5301 25 4 proposed propose VERB ajst-5301 25 5 by by ADP ajst-5301 25 6 j.d j.d PROPN ajst-5301 25 7 . . PROPN ajst-5301 25 8 volder volder PROPN ajst-5301 25 9 et et PROPN ajst-5301 25 10 al al PROPN ajst-5301 25 11 . . PROPN ajst-5301 25 12 in in ADP ajst-5301 25 13 1959 1959 NUM ajst-5301 25 14 [ [ X ajst-5301 25 15 3 3 NUM ajst-5301 25 16 ] ] PUNCT ajst-5301 25 17 , , PUNCT ajst-5301 25 18 mainly mainly ADV ajst-5301 25 19 used use VERB ajst-5301 25 20 in in ADP ajst-5301 25 21 the the DET ajst-5301 25 22 calculation calculation NOUN ajst-5301 25 23 of of ADP ajst-5301 25 24 trigonometric trigonometric ADJ ajst-5301 25 25 functions function NOUN ajst-5301 25 26 , , PUNCT ajst-5301 25 27 hyperbolas hyperbola NOUN ajst-5301 25 28 , , PUNCT ajst-5301 25 29 exponents exponent NOUN ajst-5301 25 30 and and CCONJ ajst-5301 25 31 logarithms logarithm NOUN ajst-5301 25 32 [ [ X ajst-5301 25 33 4 4 NUM ajst-5301 25 34 ] ] PUNCT ajst-5301 25 35 . . PUNCT ajst-5301 26 1 cordic cordic ADJ ajst-5301 26 2 algorithm algorithm NOUN ajst-5301 26 3 has have VERB ajst-5301 26 4 strong strong ADJ ajst-5301 26 5 portability portability NOUN ajst-5301 26 6 , , PUNCT ajst-5301 26 7 convenient convenient ADJ ajst-5301 26 8 implementation implementation NOUN ajst-5301 26 9 and and CCONJ ajst-5301 26 10 controllable controllable ADJ ajst-5301 26 11 precision precision NOUN ajst-5301 26 12 [ [ X ajst-5301 26 13 5 5 NUM ajst-5301 26 14 - - SYM ajst-5301 26 15 7 7 NUM ajst-5301 26 16 ] ] PUNCT ajst-5301 26 17 . . PUNCT ajst-5301 27 1 in in ADP ajst-5301 27 2 the the DET ajst-5301 27 3 long long ADJ ajst-5301 27 4 process process NOUN ajst-5301 27 5 of of ADP ajst-5301 27 6 development development NOUN ajst-5301 27 7 , , PUNCT ajst-5301 27 8 many many ADJ ajst-5301 27 9 scholars scholar NOUN ajst-5301 27 10 have have AUX ajst-5301 27 11 carried carry VERB ajst-5301 27 12 out out ADP ajst-5301 27 13 various various ADJ ajst-5301 27 14 researches research NOUN ajst-5301 27 15 on on ADP ajst-5301 27 16 the the DET ajst-5301 27 17 algorithm algorithm NOUN ajst-5301 27 18 and and CCONJ ajst-5301 27 19 proposed propose VERB ajst-5301 27 20 different different ADJ ajst-5301 27 21 improvement improvement NOUN ajst-5301 27 22 methods method NOUN ajst-5301 27 23 for for ADP ajst-5301 27 24 different different ADJ ajst-5301 27 25 defects defect NOUN ajst-5301 27 26 of of ADP ajst-5301 27 27 the the DET ajst-5301 27 28 algorithm algorithm NOUN ajst-5301 27 29 . . PUNCT ajst-5301 28 1 in in ADP ajst-5301 28 2 2005 2005 NUM ajst-5301 28 3 , , PUNCT ajst-5301 28 4 maharatna maharatna VERB ajst-5301 28 5 k k PROPN ajst-5301 28 6 et et PROPN ajst-5301 28 7 al al PROPN ajst-5301 28 8 . . PROPN ajst-5301 28 9 proposed propose VERB ajst-5301 28 10 a a DET ajst-5301 28 11 serial serial ADJ ajst-5301 28 12 structure structure NOUN ajst-5301 28 13 based base VERB ajst-5301 28 14 on on ADP ajst-5301 28 15 cordic cordic ADJ ajst-5301 28 16 algorithm algorithm NOUN ajst-5301 29 1 [ [ X ajst-5301 29 2 8 8 NUM ajst-5301 29 3 ] ] PUNCT ajst-5301 30 1 and and CCONJ ajst-5301 30 2 implemented implement VERB ajst-5301 30 3 it it PRON ajst-5301 30 4 on on ADP ajst-5301 30 5 fpga fpga PROPN ajst-5301 30 6 in in ADP ajst-5301 30 7 hardware hardware NOUN ajst-5301 30 8 . . PUNCT ajst-5301 31 1 this this DET ajst-5301 31 2 method method NOUN ajst-5301 31 3 takes take VERB ajst-5301 31 4 less less ADJ ajst-5301 31 5 resources resource NOUN ajst-5301 31 6 , , PUNCT ajst-5301 31 7 making make VERB ajst-5301 31 8 the the DET ajst-5301 31 9 design design NOUN ajst-5301 31 10 of of ADP ajst-5301 31 11 control control NOUN ajst-5301 31 12 unit unit NOUN ajst-5301 31 13 slightly slightly ADV ajst-5301 31 14 complex complex ADJ ajst-5301 31 15 , , PUNCT ajst-5301 31 16 timing time VERB ajst-5301 31 17 control control NOUN ajst-5301 31 18 more more ADV ajst-5301 31 19 cumbersome cumbersome ADJ ajst-5301 31 20 , , PUNCT ajst-5301 31 21 and and CCONJ ajst-5301 31 22 system system NOUN ajst-5301 31 23 processing processing NOUN ajst-5301 31 24 speed speed NOUN ajst-5301 31 25 low low ADJ ajst-5301 31 26 . . PUNCT ajst-5301 32 1 in in ADP ajst-5301 32 2 2013 2013 NUM ajst-5301 32 3 , , PUNCT ajst-5301 32 4 huang huang PROPN ajst-5301 32 5 jun jun PROPN ajst-5301 32 6 et et PROPN ajst-5301 32 7 al al PROPN ajst-5301 32 8 . . PROPN ajst-5301 32 9 proposed propose VERB ajst-5301 32 10 the the DET ajst-5301 32 11 pipelined pipelined ADJ ajst-5301 32 12 cordic cordic ADJ ajst-5301 32 13 algorithm algorithm NOUN ajst-5301 32 14 , , PUNCT ajst-5301 32 15 which which PRON ajst-5301 32 16 improved improve VERB ajst-5301 32 17 the the DET ajst-5301 32 18 computational computational ADJ ajst-5301 32 19 efficiency efficiency NOUN ajst-5301 32 20 of of ADP ajst-5301 32 21 cordic cordic NOUN ajst-5301 32 22 , , PUNCT ajst-5301 32 23 but but CCONJ ajst-5301 32 24 greatly greatly ADV ajst-5301 32 25 increased increase VERB ajst-5301 32 26 the the DET ajst-5301 32 27 logical logical ADJ ajst-5301 32 28 resources resource NOUN ajst-5301 32 29 occupied occupy VERB ajst-5301 32 30 by by ADP ajst-5301 32 31 the the DET ajst-5301 32 32 algorithm algorithm NOUN ajst-5301 32 33 [ [ X ajst-5301 32 34 9 9 NUM ajst-5301 32 35 ] ] PUNCT ajst-5301 32 36 . . PUNCT ajst-5301 33 1 in in ADP ajst-5301 33 2 2014 2014 NUM ajst-5301 33 3 , , PUNCT ajst-5301 33 4 liu liu PROPN ajst-5301 33 5 zhangfa zhangfa PROPN ajst-5301 33 6 et et PROPN ajst-5301 33 7 al al PROPN ajst-5301 33 8 . . PROPN ajst-5301 33 9 proposed propose VERB ajst-5301 33 10 the the DET ajst-5301 33 11 binary binary ADJ ajst-5301 33 12 angle angle NOUN ajst-5301 33 13 recoding recode VERB ajst-5301 33 14 cordic cordic ADJ ajst-5301 33 15 algorithm algorithm NOUN ajst-5301 33 16 [ [ X ajst-5301 33 17 10 10 NUM ajst-5301 33 18 ] ] PUNCT ajst-5301 33 19 , , PUNCT ajst-5301 33 20 which which PRON ajst-5301 33 21 can can AUX ajst-5301 33 22 omit omit VERB ajst-5301 33 23 the the DET ajst-5301 33 24 next next ADJ ajst-5301 33 25 rotation rotation NOUN ajst-5301 33 26 direction direction NOUN ajst-5301 33 27 judgment judgment NOUN ajst-5301 33 28 to to PART ajst-5301 33 29 be be AUX ajst-5301 33 30 performed perform VERB ajst-5301 33 31 in in ADP ajst-5301 33 32 each each DET ajst-5301 33 33 iteration iteration NOUN ajst-5301 33 34 , , PUNCT ajst-5301 33 35 thus thus ADV ajst-5301 33 36 reducing reduce VERB ajst-5301 33 37 the the DET ajst-5301 33 38 resource resource NOUN ajst-5301 33 39 occupation occupation NOUN ajst-5301 33 40 and and CCONJ ajst-5301 33 41 improving improve VERB ajst-5301 33 42 the the DET ajst-5301 33 43 speed speed NOUN ajst-5301 33 44 of of ADP ajst-5301 33 45 understanding understanding NOUN ajst-5301 33 46 . . PUNCT ajst-5301 34 1 in in ADP ajst-5301 34 2 the the DET ajst-5301 34 3 same same ADJ ajst-5301 34 4 year year NOUN ajst-5301 34 5 , , PUNCT ajst-5301 34 6 xu xu PROPN ajst-5301 34 7 cheng cheng PROPN ajst-5301 34 8 and and CCONJ ajst-5301 34 9 others other NOUN ajst-5301 34 10 proposed propose VERB ajst-5301 34 11 an an DET ajst-5301 34 12 iterative iterative NOUN ajst-5301 34 13 merging merge VERB ajst-5301 34 14 cordic cordic ADJ ajst-5301 34 15 algorithm algorithm NOUN ajst-5301 34 16 based base VERB ajst-5301 34 17 on on ADP ajst-5301 34 18 angle angle NOUN ajst-5301 34 19 recoding recode VERB ajst-5301 34 20 [ [ X ajst-5301 34 21 11 11 NUM ajst-5301 34 22 ] ] PUNCT ajst-5301 34 23 , , PUNCT ajst-5301 34 24 which which PRON ajst-5301 34 25 further far ADV ajst-5301 34 26 reduced reduce VERB ajst-5301 34 27 the the DET ajst-5301 34 28 resource resource NOUN ajst-5301 34 29 occupation occupation NOUN ajst-5301 34 30 . . PUNCT ajst-5301 35 1 based base VERB ajst-5301 35 2 on on ADP ajst-5301 35 3 the the DET ajst-5301 35 4 traditional traditional ADJ ajst-5301 35 5 serial serial ADJ ajst-5301 35 6 structure structure NOUN ajst-5301 35 7 , , PUNCT ajst-5301 35 8 parallel parallel ADJ ajst-5301 35 9 structure structure NOUN ajst-5301 35 10 , , PUNCT ajst-5301 35 11 pipelined pipelined ADJ ajst-5301 35 12 structure structure NOUN ajst-5301 35 13 and and CCONJ ajst-5301 35 14 other other ADJ ajst-5301 35 15 technologies technology NOUN ajst-5301 35 16 of of ADP ajst-5301 35 17 cordic cordic ADJ ajst-5301 35 18 , , PUNCT ajst-5301 35 19 this this DET ajst-5301 35 20 paper paper NOUN ajst-5301 35 21 proposes propose VERB ajst-5301 35 22 an an DET ajst-5301 35 23 improved improved ADJ ajst-5301 35 24 parallel parallel NOUN ajst-5301 35 25 pipelined pipeline VERB ajst-5301 35 26 cordic cordic ADJ ajst-5301 35 27 implementation implementation NOUN ajst-5301 35 28 method method NOUN ajst-5301 35 29 . . PUNCT ajst-5301 36 1 in in ADP ajst-5301 36 2 order order NOUN ajst-5301 36 3 to to PART ajst-5301 36 4 improve improve VERB ajst-5301 36 5 the the DET ajst-5301 36 6 output output NOUN ajst-5301 36 7 efficiency efficiency NOUN ajst-5301 36 8 and and CCONJ ajst-5301 36 9 reduce reduce VERB ajst-5301 36 10 the the DET ajst-5301 36 11 resource resource NOUN ajst-5301 36 12 consumption consumption NOUN ajst-5301 36 13 , , PUNCT ajst-5301 36 14 this this DET ajst-5301 36 15 paper paper NOUN ajst-5301 36 16 proposes propose VERB ajst-5301 36 17 an an DET ajst-5301 36 18 improved improved ADJ ajst-5301 36 19 parallel parallel ADJ ajst-5301 36 20 pipelined pipeline VERB ajst-5301 36 21 cordic cordic ADJ ajst-5301 36 22 architecture architecture NOUN ajst-5301 36 23 to to PART ajst-5301 36 24 implement implement VERB ajst-5301 36 25 a a DET ajst-5301 36 26 numerical numerical PROPN ajst-5301 36 27 control control PROPN ajst-5301 36 28 oscillator oscillator PROPN ajst-5301 36 29 . . PUNCT ajst-5301 37 1 this this DET ajst-5301 37 2 structure structure NOUN ajst-5301 37 3 can can AUX ajst-5301 37 4 increase increase VERB ajst-5301 37 5 the the DET ajst-5301 37 6 maximum maximum ADJ ajst-5301 37 7 clock clock NOUN ajst-5301 37 8 speed speed NOUN ajst-5301 37 9 of of ADP ajst-5301 37 10 the the DET ajst-5301 37 11 system system NOUN ajst-5301 37 12 from from ADP ajst-5301 37 13 217.77 217.77 NUM ajst-5301 37 14 mhz mhz NOUN ajst-5301 37 15 to to ADP ajst-5301 37 16 291.04 291.04 NUM ajst-5301 37 17 mhz mhz NOUN ajst-5301 37 18 , , PUNCT ajst-5301 37 19 and and CCONJ ajst-5301 37 20 improve improve VERB ajst-5301 37 21 the the DET ajst-5301 37 22 output output NOUN ajst-5301 37 23 efficiency efficiency NOUN ajst-5301 37 24 of of ADP ajst-5301 37 25 the the DET ajst-5301 37 26 system system NOUN ajst-5301 37 27 . . PUNCT ajst-5301 38 1 33 33 NUM ajst-5301 38 2 2 2 NUM ajst-5301 38 3 . . PUNCT ajst-5301 38 4 cordic cordic ADJ ajst-5301 38 5 algorithm algorithm NOUN ajst-5301 38 6 principle principle NOUN ajst-5301 38 7 the the DET ajst-5301 38 8 operation operation NOUN ajst-5301 38 9 method method NOUN ajst-5301 38 10 of of ADP ajst-5301 38 11 cordic cordic ADJ ajst-5301 38 12 algorithm algorithm NOUN ajst-5301 38 13 is be AUX ajst-5301 38 14 based base VERB ajst-5301 38 15 on on ADP ajst-5301 38 16 triangle triangle NOUN ajst-5301 38 17 operation operation NOUN ajst-5301 38 18 , , PUNCT ajst-5301 38 19 which which PRON ajst-5301 38 20 relies rely VERB ajst-5301 38 21 on on ADP ajst-5301 38 22 vector vector NOUN ajst-5301 38 23 rotation rotation NOUN ajst-5301 38 24 to to PART ajst-5301 38 25 continuously continuously ADV ajst-5301 38 26 map map VERB ajst-5301 38 27 and and CCONJ ajst-5301 38 28 coordinate coordinate VERB ajst-5301 38 29 between between ADP ajst-5301 38 30 polar polar ADJ ajst-5301 38 31 coordinates coordinate NOUN ajst-5301 38 32 and and CCONJ ajst-5301 38 33 rectangular rectangular ADJ ajst-5301 38 34 coordinates coordinate NOUN ajst-5301 38 35 . . PUNCT ajst-5301 39 1 unlike unlike ADP ajst-5301 39 2 lut lut PROPN ajst-5301 39 3 , , PUNCT ajst-5301 39 4 cordic cordic ADJ ajst-5301 39 5 algorithm algorithm NOUN ajst-5301 39 6 does do AUX ajst-5301 39 7 not not PART ajst-5301 39 8 completely completely ADV ajst-5301 39 9 rely rely VERB ajst-5301 39 10 on on ADP ajst-5301 39 11 the the DET ajst-5301 39 12 predetermined predetermine VERB ajst-5301 39 13 phase phase NOUN ajst-5301 39 14 , , PUNCT ajst-5301 39 15 frequency frequency NOUN ajst-5301 39 16 and and CCONJ ajst-5301 39 17 amplitude amplitude NOUN ajst-5301 39 18 values value NOUN ajst-5301 39 19 to to PART ajst-5301 39 20 calculate calculate VERB ajst-5301 39 21 the the DET ajst-5301 39 22 coordinates coordinate NOUN ajst-5301 39 23 on on ADP ajst-5301 39 24 the the DET ajst-5301 39 25 sine sine ADJ ajst-5301 39 26 wave wave NOUN ajst-5301 39 27 . . PUNCT ajst-5301 40 1 it it PRON ajst-5301 40 2 is be AUX ajst-5301 40 3 more more ADV ajst-5301 40 4 flexible flexible ADJ ajst-5301 40 5 than than ADP ajst-5301 40 6 lut lut PROPN ajst-5301 40 7 . . PUNCT ajst-5301 41 1 cordic cordic PROPN ajst-5301 41 2 is be AUX ajst-5301 41 3 superior superior ADJ ajst-5301 41 4 to to ADP ajst-5301 41 5 the the DET ajst-5301 41 6 traditional traditional ADJ ajst-5301 41 7 lut lut PROPN ajst-5301 41 8 method method NOUN ajst-5301 41 9 because because SCONJ ajst-5301 41 10 of of ADP ajst-5301 41 11 its its PRON ajst-5301 41 12 ability ability NOUN ajst-5301 41 13 to to PART ajst-5301 41 14 generate generate VERB ajst-5301 41 15 orthogonal orthogonal ADJ ajst-5301 41 16 components component NOUN ajst-5301 41 17 and and CCONJ ajst-5301 41 18 in in ADP ajst-5301 41 19 - - PUNCT ajst-5301 41 20 phase phase NOUN ajst-5301 41 21 components component NOUN ajst-5301 41 22 at at ADP ajst-5301 41 23 the the DET ajst-5301 41 24 same same ADJ ajst-5301 41 25 time time NOUN ajst-5301 41 26 . . PUNCT ajst-5301 42 1 it it PRON ajst-5301 42 2 can can AUX ajst-5301 42 3 calculate calculate VERB ajst-5301 42 4 the the DET ajst-5301 42 5 required require VERB ajst-5301 42 6 trigonometric trigonometric ADJ ajst-5301 42 7 function function NOUN ajst-5301 42 8 values value NOUN ajst-5301 42 9 , , PUNCT ajst-5301 42 10 such such ADJ ajst-5301 42 11 as as ADP ajst-5301 42 12 sine sine NOUN ajst-5301 42 13 , , PUNCT ajst-5301 42 14 cosine cosine NOUN ajst-5301 42 15 and and CCONJ ajst-5301 42 16 hyperbolic hyperbolic ADJ ajst-5301 42 17 function function NOUN ajst-5301 43 1 d d NOUN ajst-5301 43 2 ( ( PUNCT ajst-5301 43 3 ex ex NOUN ajst-5301 43 4 - - NOUN ajst-5301 43 5 sinh sinh ADJ ajst-5301 43 6 , , PUNCT ajst-5301 43 7 cosh cosh NOUN ajst-5301 43 8 and and CCONJ ajst-5301 43 9 tanh tanh NOUN ajst-5301 43 10 ) ) PUNCT ajst-5301 43 11 , , PUNCT ajst-5301 43 12 and and CCONJ ajst-5301 43 13 can can AUX ajst-5301 43 14 achieve achieve VERB ajst-5301 43 15 any any DET ajst-5301 43 16 required require VERB ajst-5301 43 17 accuracy accuracy NOUN ajst-5301 43 18 . . PUNCT ajst-5301 44 1 cordic cordic ADJ ajst-5301 44 2 algorithm algorithm NOUN ajst-5301 44 3 is be AUX ajst-5301 44 4 divided divide VERB ajst-5301 44 5 into into ADP ajst-5301 44 6 rotation rotation NOUN ajst-5301 44 7 mode mode NOUN ajst-5301 44 8 and and CCONJ ajst-5301 44 9 vector vector NOUN ajst-5301 44 10 mode mode NOUN ajst-5301 44 11 . . PUNCT ajst-5301 45 1 due due ADP ajst-5301 45 2 to to ADP ajst-5301 45 3 the the DET ajst-5301 45 4 consistency consistency NOUN ajst-5301 45 5 of of ADP ajst-5301 45 6 hardware hardware NOUN ajst-5301 45 7 architecture architecture NOUN ajst-5301 45 8 , , PUNCT ajst-5301 45 9 the the DET ajst-5301 45 10 basic basic ADJ ajst-5301 45 11 principle principle NOUN ajst-5301 45 12 of of ADP ajst-5301 45 13 the the DET ajst-5301 45 14 final final ADJ ajst-5301 45 15 implementation implementation NOUN ajst-5301 45 16 of of ADP ajst-5301 45 17 rotation rotation NOUN ajst-5301 45 18 mode mode NOUN ajst-5301 45 19 and and CCONJ ajst-5301 45 20 vector vector NOUN ajst-5301 45 21 mode mode NOUN ajst-5301 45 22 is be AUX ajst-5301 45 23 the the DET ajst-5301 45 24 same same ADJ ajst-5301 45 25 . . PUNCT ajst-5301 46 1 this this DET ajst-5301 46 2 paper paper NOUN ajst-5301 46 3 mainly mainly ADV ajst-5301 46 4 analyzes analyze VERB ajst-5301 46 5 and and CCONJ ajst-5301 46 6 studies study NOUN ajst-5301 46 7 the the DET ajst-5301 46 8 rotation rotation NOUN ajst-5301 46 9 mode mode NOUN ajst-5301 46 10 . . PUNCT ajst-5301 47 1 the the DET ajst-5301 47 2 geometric geometric ADJ ajst-5301 47 3 principle principle NOUN ajst-5301 47 4 of of ADP ajst-5301 47 5 rotation rotation NOUN ajst-5301 47 6 mode mode NOUN ajst-5301 47 7 is be AUX ajst-5301 47 8 shown show VERB ajst-5301 47 9 in in ADP ajst-5301 47 10 figure figure NOUN ajst-5301 47 11 1 1 NUM ajst-5301 47 12 . . PUNCT ajst-5301 48 1 there there PRON ajst-5301 48 2 is be VERB ajst-5301 48 3 a a DET ajst-5301 48 4 point point NOUN ajst-5301 48 5 p1 p1 NOUN ajst-5301 48 6 in in ADP ajst-5301 48 7 the the DET ajst-5301 48 8 coordinate coordinate NOUN ajst-5301 48 9 system system NOUN ajst-5301 48 10 . . PUNCT ajst-5301 49 1 after after ADP ajst-5301 49 2 rotating rotate VERB ajst-5301 49 3 p1 p1 NOUN ajst-5301 49 4 by by ADP ajst-5301 49 5 2 2 NUM ajst-5301 49 6 degrees degree NOUN ajst-5301 49 7 , , PUNCT ajst-5301 49 8 the the DET ajst-5301 49 9 point point NOUN ajst-5301 49 10 p2 p2 NOUN ajst-5301 49 11 is be AUX ajst-5301 49 12 obtained obtain VERB ajst-5301 49 13 . . PUNCT ajst-5301 50 1 the the DET ajst-5301 50 2 angle angle NOUN ajst-5301 50 3 1 1 NUM ajst-5301 50 4 is be AUX ajst-5301 50 5 𝛼 𝛼 PRON ajst-5301 50 6 , , PUNCT ajst-5301 50 7 called call VERB ajst-5301 50 8 initial initial ADJ ajst-5301 50 9 angle angle NOUN ajst-5301 50 10 ; ; PUNCT ajst-5301 50 11 angle angle NOUN ajst-5301 50 12 2 2 NUM ajst-5301 50 13 is be AUX ajst-5301 50 14 the the DET ajst-5301 50 15 rotation rotation NOUN ajst-5301 50 16 angle angle NOUN ajst-5301 50 17 𝛽 𝛽 PROPN ajst-5301 50 18 express express NOUN ajst-5301 50 19 . . PUNCT ajst-5301 51 1 x x PUNCT ajst-5301 51 2 y y NOUN ajst-5301 51 3 x2 x2 NOUN ajst-5301 52 1 x1 x1 PROPN ajst-5301 53 1 y2 y2 NOUN ajst-5301 53 2 y1 y1 NOUN ajst-5301 53 3 p2 p2 NOUN ajst-5301 53 4 p1 p1 NOUN ajst-5301 53 5 1 1 NUM ajst-5301 53 6 2 2 NUM ajst-5301 53 7 0 0 NUM ajst-5301 53 8 figure figure NOUN ajst-5301 53 9 1 1 NUM ajst-5301 53 10 . . PUNCT ajst-5301 54 1 geometric geometric ADJ ajst-5301 54 2 schematic schematic ADJ ajst-5301 54 3 diagram diagram NOUN ajst-5301 54 4 of of ADP ajst-5301 54 5 cordic cordic ADJ ajst-5301 54 6 algorithm algorithm NOUN ajst-5301 54 7 order order NOUN ajst-5301 54 8 2 2 NUM ajst-5301 54 9 2 2 NUM ajst-5301 54 10 2 2 NUM ajst-5301 54 11 2 2 NUM ajst-5301 54 12 1 1 NUM ajst-5301 54 13 1 1 NUM ajst-5301 54 14 2 2 NUM ajst-5301 54 15 21 21 NUM ajst-5301 54 16 2op 2op ADJ ajst-5301 54 17 op op NOUN ajst-5301 54 18 x x PUNCT ajst-5301 54 19 y y NOUN ajst-5301 54 20 x x PUNCT ajst-5301 54 21 y y PROPN ajst-5301 54 22 r r VERB ajst-5301 54 23   PROPN ajst-5301 54 24   ADV ajst-5301 54 25   NUM ajst-5301 54 26   SCONJ ajst-5301 54 27   NUM ajst-5301 54 28 ( ( PUNCT ajst-5301 54 29 1 1 X ajst-5301 54 30 ) ) PUNCT ajst-5301 54 31 get get VERB ajst-5301 54 32 the the DET ajst-5301 54 33 expression expression NOUN ajst-5301 54 34 of of ADP ajst-5301 54 35 p1 p1 PROPN ajst-5301 54 36 point point NOUN ajst-5301 54 37 : : PUNCT ajst-5301 54 38 1 1 NUM ajst-5301 54 39 1 1 NUM ajst-5301 54 40 cos cos X ajst-5301 54 41 sin sin NOUN ajst-5301 54 42 x x PUNCT ajst-5301 54 43 r r NOUN ajst-5301 54 44 y y NOUN ajst-5301 54 45 r r NOUN ajst-5301 54 46   X ajst-5301 54 47   X ajst-5301 54 48   VERB ajst-5301 54 49   NUM ajst-5301 54 50   NOUN ajst-5301 54 51 ( ( PUNCT ajst-5301 54 52 2 2 NUM ajst-5301 54 53 ) ) PUNCT ajst-5301 54 54 then then ADV ajst-5301 54 55 the the DET ajst-5301 54 56 expression expression NOUN ajst-5301 54 57 of of ADP ajst-5301 54 58 p2 p2 PROPN ajst-5301 54 59 point point NOUN ajst-5301 54 60 can can AUX ajst-5301 54 61 be be AUX ajst-5301 54 62 obtained obtain VERB ajst-5301 54 63 : : PUNCT ajst-5301 54 64 𝑥 𝑥 PROPN ajst-5301 54 65 𝑅 𝑅 PROPN ajst-5301 54 66 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 54 67 𝛽 𝛽 NOUN ajst-5301 54 68 𝛼 𝛼 NOUN ajst-5301 54 69 𝑥 𝑥 NOUN ajst-5301 54 70 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 54 71 𝛽 𝛽 PROPN ajst-5301 54 72 𝑦 𝑦 NUM ajst-5301 54 73 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN ajst-5301 54 74 𝛽 𝛽 PROPN ajst-5301 54 75 𝑦 𝑦 SYM ajst-5301 54 76 𝑅 𝑅 PROPN ajst-5301 54 77 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN ajst-5301 54 78 𝛽 𝛽 ADP ajst-5301 54 79 𝛼 𝛼 X ajst-5301 54 80 𝑦 𝑦 NOUN ajst-5301 54 81 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 54 82 𝛽 𝛽 NOUN ajst-5301 54 83 𝑥 𝑥 PROPN ajst-5301 54 84 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-5301 54 85 𝛽 𝛽 PROPN ajst-5301 54 86 ( ( PUNCT ajst-5301 54 87 3 3 NUM ajst-5301 54 88 ) ) PUNCT ajst-5301 54 89 therefore therefore ADV ajst-5301 54 90 , , PUNCT ajst-5301 54 91 after after SCONJ ajst-5301 54 92 p1 p1 NOUN ajst-5301 54 93 and and CCONJ ajst-5301 54 94 rotation rotation NOUN ajst-5301 54 95 angle angle NOUN ajst-5301 54 96 are be AUX ajst-5301 54 97 known know VERB ajst-5301 54 98 , , PUNCT ajst-5301 54 99 point point NOUN ajst-5301 54 100 p2 p2 NOUN ajst-5301 54 101 can can AUX ajst-5301 54 102 be be AUX ajst-5301 54 103 calculated calculate VERB ajst-5301 54 104 . . PUNCT ajst-5301 55 1 the the DET ajst-5301 55 2 coordinates coordinate NOUN ajst-5301 55 3 of of ADP ajst-5301 55 4 p2 p2 PROPN ajst-5301 55 5 can can AUX ajst-5301 55 6 be be AUX ajst-5301 55 7 further far ADV ajst-5301 55 8 written write VERB ajst-5301 55 9 as as ADP ajst-5301 55 10 : : PUNCT ajst-5301 55 11 𝑥 𝑥 NOUN ajst-5301 55 12 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 55 13 𝛽 𝛽 NOUN ajst-5301 55 14 𝑥 𝑥 NOUN ajst-5301 55 15 𝑦 𝑦 NOUN ajst-5301 55 16 𝑡𝑎𝑛 𝑡𝑎𝑛 NOUN ajst-5301 56 1 𝛽 𝛽 NOUN ajst-5301 56 2 𝑦 𝑦 NUM ajst-5301 56 3 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 57 1 𝛽 𝛽 NOUN ajst-5301 57 2 𝑦 𝑦 NOUN ajst-5301 57 3 𝑥 𝑥 PRON ajst-5301 57 4 𝑡𝑎𝑛 𝑡𝑎𝑛 NOUN ajst-5301 57 5 𝛽 𝛽 NOUN ajst-5301 57 6 ( ( PUNCT ajst-5301 57 7 4 4 NUM ajst-5301 57 8 ) ) PUNCT ajst-5301 57 9 in in ADP ajst-5301 57 10 order order NOUN ajst-5301 57 11 to to PART ajst-5301 57 12 facilitate facilitate VERB ajst-5301 57 13 calculation calculation NOUN ajst-5301 57 14 , , PUNCT ajst-5301 57 15 the the DET ajst-5301 57 16 vector vector NOUN ajst-5301 57 17 modulus modulus NOUN ajst-5301 57 18 value value NOUN ajst-5301 57 19 is be AUX ajst-5301 57 20 not not PART ajst-5301 57 21 considered consider VERB ajst-5301 57 22 in in ADP ajst-5301 57 23 rotation rotation NOUN ajst-5301 57 24 , , PUNCT ajst-5301 57 25 and and CCONJ ajst-5301 57 26 will will AUX ajst-5301 57 27 be be AUX ajst-5301 57 28 cos cos VERB ajst-5301 57 29 removed remove VERB ajst-5301 57 30 . . PUNCT ajst-5301 58 1 at at ADP ajst-5301 58 2 this this DET ajst-5301 58 3 time time NOUN ajst-5301 58 4 , , PUNCT ajst-5301 58 5 the the DET ajst-5301 58 6 degree degree NOUN ajst-5301 58 7 of of ADP ajst-5301 58 8 rotation rotation NOUN ajst-5301 58 9 coordinate coordinate NOUN ajst-5301 58 10 can can AUX ajst-5301 58 11 be be AUX ajst-5301 58 12 easily easily ADV ajst-5301 58 13 obtained obtain VERB ajst-5301 58 14 . . PUNCT ajst-5301 59 1 this this DET ajst-5301 59 2 operation operation NOUN ajst-5301 59 3 is be AUX ajst-5301 59 4 called call VERB ajst-5301 59 5 pseudorotation pseudorotation NOUN ajst-5301 59 6 . . PUNCT ajst-5301 60 1 at at ADP ajst-5301 60 2 this this DET ajst-5301 60 3 time time NOUN ajst-5301 60 4 , , PUNCT ajst-5301 60 5 1 1 NUM ajst-5301 60 6 - - SYM ajst-5301 60 7 4 4 NUM ajst-5301 60 8 becomes become VERB ajst-5301 60 9 a a DET ajst-5301 60 10 pseudorotation pseudorotation NOUN ajst-5301 60 11 equation equation NOUN ajst-5301 60 12 : : PUNCT ajst-5301 60 13 𝑥 𝑥 ADP ajst-5301 60 14 𝑥 𝑥 PRON ajst-5301 60 15 𝑦 𝑦 NOUN ajst-5301 60 16 𝑡𝑎𝑛 𝑡𝑎𝑛 NOUN ajst-5301 61 1 𝛽 𝛽 NOUN ajst-5301 61 2 𝑦 𝑦 X ajst-5301 61 3 𝑦 𝑦 NOUN ajst-5301 61 4 𝑥 𝑥 PRON ajst-5301 61 5 𝑡𝑎𝑛 𝑡𝑎𝑛 NOUN ajst-5301 62 1 𝛽 𝛽 NOUN ajst-5301 62 2 ( ( PUNCT ajst-5301 62 3 5 5 NUM ajst-5301 62 4 ) ) PUNCT ajst-5301 62 5 the the DET ajst-5301 62 6 idea idea NOUN ajst-5301 62 7 of of ADP ajst-5301 62 8 pseudo pseudo NOUN ajst-5301 62 9 rotation rotation NOUN ajst-5301 62 10 is be AUX ajst-5301 62 11 to to PART ajst-5301 62 12 split split VERB ajst-5301 62 13 the the DET ajst-5301 62 14 angle angle NOUN ajst-5301 62 15 , , PUNCT ajst-5301 62 16 and and CCONJ ajst-5301 62 17 the the DET ajst-5301 62 18 specific specific ADJ ajst-5301 62 19 method method NOUN ajst-5301 62 20 is be AUX ajst-5301 62 21 to to PART ajst-5301 62 22 rotate rotate VERB ajst-5301 62 23 the the DET ajst-5301 62 24 angle angle NOUN ajst-5301 62 25 𝛽 𝛽 NOUN ajst-5301 62 26 divided divide VERB ajst-5301 62 27 into into ADP ajst-5301 62 28 several several ADJ ajst-5301 62 29 angles angle NOUN ajst-5301 62 30 of of ADP ajst-5301 62 31 equal equal ADJ ajst-5301 62 32 size size NOUN ajst-5301 62 33 𝛽 𝛽 PROPN ajst-5301 62 34 i.e i.e PROPN ajst-5301 62 35 𝛽 𝛽 NOUN ajst-5301 62 36 ∑ ∑ PUNCT ajst-5301 62 37 𝛽∞ 𝛽∞ PROPN ajst-5301 62 38 。 。 PUNCT ajst-5301 62 39 in in ADP ajst-5301 62 40 order order NOUN ajst-5301 62 41 to to PART ajst-5301 62 42 facilitate facilitate VERB ajst-5301 62 43 the the DET ajst-5301 62 44 implementation implementation NOUN ajst-5301 62 45 of of ADP ajst-5301 62 46 cordic cordic ADJ ajst-5301 62 47 algorithm algorithm NOUN ajst-5301 62 48 on on ADP ajst-5301 62 49 hardware hardware NOUN ajst-5301 62 50 , , PUNCT ajst-5301 62 51 set set VERB ajst-5301 62 52 the the DET ajst-5301 62 53 rotation rotation NOUN ajst-5301 62 54 angle angle NOUN ajst-5301 62 55 of of ADP ajst-5301 62 56 each each DET ajst-5301 62 57 time time NOUN ajst-5301 62 58 as as ADP ajst-5301 62 59 𝛽 𝛽 NOUN ajst-5301 62 60 。 。 NOUN ajst-5301 62 61 regulations regulation NOUN ajst-5301 62 62 𝛽 𝛽 NOUN ajst-5301 62 63 satisfy satisfy NOUN ajst-5301 62 64 𝑡𝑎𝑛𝛽 𝑡𝑎𝑛𝛽 AUX ajst-5301 62 65 2 2 NUM ajst-5301 62 66 , , PUNCT ajst-5301 62 67 there there PRON ajst-5301 62 68 are be VERB ajst-5301 62 69 : : PUNCT ajst-5301 62 70 𝛽 𝛽 NOUN ajst-5301 62 71 𝑡𝑎𝑛 𝑡𝑎𝑛 NOUN ajst-5301 62 72 2 2 NUM ajst-5301 62 73 ( ( PUNCT ajst-5301 62 74 6 6 NUM ajst-5301 62 75 ) ) PUNCT ajst-5301 62 76 ∑ ∑ PUNCT ajst-5301 62 77 𝑡𝑎𝑛𝛽 𝑡𝑎𝑛𝛽 AUX ajst-5301 62 78 range range NOUN ajst-5301 62 79 and and CCONJ ajst-5301 62 80 rotation rotation NOUN ajst-5301 62 81 angle angle NOUN ajst-5301 62 82 of of ADP ajst-5301 62 83 𝛽 𝛽 NOUN ajst-5301 62 84 scope scope NOUN ajst-5301 62 85 of of ADP ajst-5301 62 86 [ [ PUNCT ajst-5301 62 87 99 99 NUM ajst-5301 62 88 . . NOUN ajst-5301 62 89 7 7 NUM ajst-5301 62 90 ° ° NUM ajst-5301 62 91 ,99.7 ,99.7 PUNCT ajst-5301 62 92 ° ° PROPN ajst-5301 62 93 ] ] X ajst-5301 62 94 consistent consistent ADJ ajst-5301 62 95 . . PUNCT ajst-5301 63 1 since since SCONJ ajst-5301 63 2 the the DET ajst-5301 63 3 direction direction NOUN ajst-5301 63 4 of of ADP ajst-5301 63 5 each each DET ajst-5301 63 6 rotation rotation NOUN ajst-5301 63 7 is be AUX ajst-5301 63 8 related relate VERB ajst-5301 63 9 to to ADP ajst-5301 63 10 the the DET ajst-5301 63 11 size size NOUN ajst-5301 63 12 of of ADP ajst-5301 63 13 the the DET ajst-5301 63 14 remaining remain VERB ajst-5301 63 15 angle angle NOUN ajst-5301 63 16 after after ADP ajst-5301 63 17 the the DET ajst-5301 63 18 last last ADJ ajst-5301 63 19 rotation rotation NOUN ajst-5301 63 20 , , PUNCT ajst-5301 63 21 it it PRON ajst-5301 63 22 is be AUX ajst-5301 63 23 necessary necessary ADJ ajst-5301 63 24 to to PART ajst-5301 63 25 set set VERB ajst-5301 63 26 a a DET ajst-5301 63 27 direction direction NOUN ajst-5301 63 28 for for ADP ajst-5301 63 29 each each DET ajst-5301 63 30 rotation rotation NOUN ajst-5301 63 31 𝑑 𝑑 NOUN ajst-5301 63 32 , , PUNCT ajst-5301 63 33 if if SCONJ ajst-5301 63 34 the the DET ajst-5301 63 35 sum sum NOUN ajst-5301 63 36 of of ADP ajst-5301 63 37 rotation rotation NOUN ajst-5301 63 38 angles angle NOUN ajst-5301 63 39 is be AUX ajst-5301 63 40 less less ADJ ajst-5301 63 41 than than ADP ajst-5301 63 42 𝛽 𝛽 NOUN ajst-5301 63 43 , , PUNCT ajst-5301 63 44 then then ADV ajst-5301 63 45 𝑑 𝑑 PROPN ajst-5301 63 46 is be AUX ajst-5301 63 47 1 1 NUM ajst-5301 63 48 , , PUNCT ajst-5301 63 49 indicating indicate VERB ajst-5301 63 50 that that SCONJ ajst-5301 63 51 the the DET ajst-5301 63 52 next next ADJ ajst-5301 63 53 rotation rotation NOUN ajst-5301 63 54 is be AUX ajst-5301 63 55 clockwise clockwise NOUN ajst-5301 63 56 . . PUNCT ajst-5301 64 1 if if SCONJ ajst-5301 64 2 the the DET ajst-5301 64 3 sum sum NOUN ajst-5301 64 4 of of ADP ajst-5301 64 5 rotation rotation NOUN ajst-5301 64 6 angles angle NOUN ajst-5301 64 7 is be AUX ajst-5301 64 8 greater great ADJ ajst-5301 64 9 than than ADP ajst-5301 64 10 𝛽 𝛽 NOUN ajst-5301 64 11 , , PUNCT ajst-5301 64 12 then then ADV ajst-5301 64 13 𝑑 𝑑 AUX ajst-5301 64 14 a a DET ajst-5301 64 15 value value NOUN ajst-5301 64 16 of of ADP ajst-5301 64 17 1 1 NUM ajst-5301 64 18 indicates indicate VERB ajst-5301 64 19 that that SCONJ ajst-5301 64 20 the the DET ajst-5301 64 21 next next ADJ ajst-5301 64 22 rotation rotation NOUN ajst-5301 64 23 is be AUX ajst-5301 64 24 counterclockwise counterclockwise ADJ ajst-5301 64 25 . . PUNCT ajst-5301 65 1 after after ADP ajst-5301 65 2 rotating rotate VERB ajst-5301 65 3 a a DET ajst-5301 65 4 certain certain ADJ ajst-5301 65 5 angle angle NOUN ajst-5301 65 6 from from ADP ajst-5301 65 7 the the DET ajst-5301 65 8 initial initial ADJ ajst-5301 65 9 position position NOUN ajst-5301 65 10 , , PUNCT ajst-5301 65 11 there there PRON ajst-5301 65 12 will will AUX ajst-5301 65 13 be be AUX ajst-5301 65 14 a a DET ajst-5301 65 15 residual residual ADJ ajst-5301 65 16 angle angle NOUN ajst-5301 65 17 . . PUNCT ajst-5301 66 1 set set VERB ajst-5301 66 2 the the DET ajst-5301 66 3 residual residual ADJ ajst-5301 66 4 angle angle NOUN ajst-5301 66 5 of of ADP ajst-5301 66 6 rotation rotation NOUN ajst-5301 66 7 as as ADP ajst-5301 66 8 𝑧 𝑧 PROPN ajst-5301 66 9 ， ， PUNCT ajst-5301 66 10 𝑧 𝑧 PROPN ajst-5301 66 11 𝛽 𝛽 PROPN ajst-5301 66 12 𝑑 𝑑 PROPN ajst-5301 66 13 𝛽 𝛽 NOUN ajst-5301 66 14 , , PUNCT ajst-5301 66 15 bringing bring VERB ajst-5301 66 16 ( ( PUNCT ajst-5301 66 17 1 1 NUM ajst-5301 66 18 - - SYM ajst-5301 66 19 6 6 NUM ajst-5301 66 20 ) ) PUNCT ajst-5301 66 21 into into ADP ajst-5301 66 22 : : PUNCT ajst-5301 66 23 𝑧 𝑧 DET ajst-5301 66 24 𝛽 𝛽 NOUN ajst-5301 66 25 𝑑 𝑑 NOUN ajst-5301 66 26 𝑡𝑎𝑛 𝑡𝑎𝑛 NOUN ajst-5301 66 27 2 2 NUM ajst-5301 66 28 。 。 NUM ajst-5301 66 29 𝑧 𝑧 PRON ajst-5301 66 30 initially initially ADV ajst-5301 66 31 𝛽 𝛽 X ajst-5301 66 32 i.e i.e X ajst-5301 66 33 𝑧 𝑧 NOUN ajst-5301 66 34 0 0 NUM ajst-5301 66 35 𝛽 𝛽 NOUN ajst-5301 66 36 。 。 PROPN ajst-5301 66 37 along along ADP ajst-5301 66 38 with with ADP ajst-5301 66 39 𝑖 𝑖 ADP ajst-5301 66 40 the the DET ajst-5301 66 41 value value NOUN ajst-5301 66 42 of of ADP ajst-5301 66 43 is be AUX ajst-5301 66 44 increasing increase VERB ajst-5301 66 45 , , PUNCT ajst-5301 66 46 < < X ajst-5301 66 47 i i PROPN ajst-5301 66 48 mtid='471'>hellohello > X ajst-5301 67 1 it it PRON ajst-5301 67 2 will will AUX ajst-5301 67 3 approach approach VERB ajst-5301 67 4 0 0 PUNCT ajst-5301 68 1 and and CCONJ ajst-5301 68 2 the the DET ajst-5301 68 3 rotation rotation NOUN ajst-5301 68 4 will will AUX ajst-5301 68 5 end end VERB ajst-5301 68 6 . . PUNCT ajst-5301 69 1 i i PRON ajst-5301 69 2 d d PROPN ajst-5301 69 3 after after ADP ajst-5301 69 4 defining define VERB ajst-5301 69 5 the the DET ajst-5301 69 6 rotation rotation NOUN ajst-5301 69 7 direction direction NOUN ajst-5301 69 8 , , PUNCT ajst-5301 69 9 formula formula NOUN ajst-5301 69 10 ( ( PUNCT ajst-5301 69 11 1 1 NUM ajst-5301 69 12 - - SYM ajst-5301 69 13 6 6 NUM ajst-5301 69 14 ) ) PUNCT ajst-5301 69 15 can can AUX ajst-5301 69 16 be be AUX ajst-5301 69 17 changed change VERB ajst-5301 69 18 to to ADP ajst-5301 69 19 : : PUNCT ajst-5301 69 20 𝛽 𝛽 NOUN ajst-5301 69 21 𝑡𝑎𝑛 𝑡𝑎𝑛 NOUN ajst-5301 69 22 𝑑 𝑑 NOUN ajst-5301 69 23 2 2 NUM ajst-5301 69 24 ( ( PUNCT ajst-5301 69 25 7 7 NUM ajst-5301 69 26 ) ) PUNCT ajst-5301 69 27 when when SCONJ ajst-5301 69 28 using use VERB ajst-5301 69 29 pseudo pseudo NOUN ajst-5301 69 30 rotation rotation NOUN ajst-5301 69 31 , , PUNCT ajst-5301 69 32 each each DET ajst-5301 69 33 rotation rotation NOUN ajst-5301 69 34 will will AUX ajst-5301 69 35 correspond correspond VERB ajst-5301 69 36 to to ADP ajst-5301 69 37 a a DET ajst-5301 69 38 residual residual ADJ ajst-5301 69 39 angle angle NOUN ajst-5301 69 40 , , PUNCT ajst-5301 69 41 and and CCONJ ajst-5301 69 42 a a DET ajst-5301 69 43 rotation rotation NOUN ajst-5301 69 44 will will AUX ajst-5301 69 45 be be AUX ajst-5301 69 46 generated generate VERB ajst-5301 69 47 at at ADP ajst-5301 69 48 the the DET ajst-5301 69 49 end end NOUN ajst-5301 69 50 of of ADP ajst-5301 69 51 rotation rotation NOUN ajst-5301 69 52 ∏𝑐𝑜𝑠𝛽 ∏𝑐𝑜𝑠𝛽 NOUN ajst-5301 69 53 accumulation accumulation NOUN ajst-5301 69 54 of of ADP ajst-5301 69 55 . . PUNCT ajst-5301 70 1 assuming assume VERB ajst-5301 70 2 the the DET ajst-5301 70 3 number number NOUN ajst-5301 70 4 of of ADP ajst-5301 70 5 iterations iteration NOUN ajst-5301 70 6 1n 1n NUM ajst-5301 70 7 a a NOUN ajst-5301 70 8   NOUN ajst-5301 70 9 , , PUNCT ajst-5301 70 10 the the DET ajst-5301 70 11 rotation rotation NOUN ajst-5301 70 12 coordinate coordinate NOUN ajst-5301 70 13 of of ADP ajst-5301 70 14 p2 p2 PROPN ajst-5301 70 15 should should AUX ajst-5301 70 16 be be AUX ajst-5301 70 17 𝑥 𝑥 DET ajst-5301 70 18 ∗ ∗ NOUN ajst-5301 70 19 ∏𝑐𝑜𝑠𝛽 ∏𝑐𝑜𝑠𝛽 NUM ajst-5301 70 20 , , PUNCT ajst-5301 70 21 𝑦 𝑦 NUM ajst-5301 70 22 ∗ ∗ NOUN ajst-5301 70 23 ∏𝑐𝑜𝑠𝛽 ∏𝑐𝑜𝑠𝛽 NUM ajst-5301 70 24 therefore therefore ADV ajst-5301 70 25 , , PUNCT ajst-5301 70 26 the the DET ajst-5301 70 27 final final ADJ ajst-5301 70 28 coordinate coordinate NOUN ajst-5301 70 29 angle angle NOUN ajst-5301 70 30 of of ADP ajst-5301 70 31 p2 p2 PROPN ajst-5301 70 32 should should AUX ajst-5301 70 33 be be AUX ajst-5301 70 34 : : PUNCT ajst-5301 70 35 𝑥 𝑥 NOUN ajst-5301 70 36 ∗ ∗ NOUN ajst-5301 70 37 ∏𝑐𝑜𝑠𝛽 ∏𝑐𝑜𝑠𝛽 NUM ajst-5301 70 38 𝑥 𝑥 NOUN ajst-5301 70 39 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 71 1 𝛽 𝛽 NOUN ajst-5301 71 2 𝑦 𝑦 NUM ajst-5301 71 3 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN ajst-5301 71 4 𝛽 𝛽 ADP ajst-5301 71 5 𝑦 𝑦 NOUN ajst-5301 71 6 ∗ ∗ NOUN ajst-5301 71 7 ∏𝑐𝑜𝑠𝛽 ∏𝑐𝑜𝑠𝛽 NOUN ajst-5301 71 8 𝑦 𝑦 NOUN ajst-5301 71 9 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 71 10 𝛽 𝛽 NOUN ajst-5301 71 11 𝑥 𝑥 PROPN ajst-5301 71 12 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-5301 71 13 𝛽 𝛽 PROPN ajst-5301 71 14 ( ( PUNCT ajst-5301 71 15 8) 8) NUM ajst-5301 71 16 namely namely ADV ajst-5301 71 17 𝑥 𝑥 DET ajst-5301 71 18 ∏ ∏ NUM ajst-5301 71 19 𝑥 𝑥 NOUN ajst-5301 71 20 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 71 21 𝛽 𝛽 PROPN ajst-5301 71 22 𝑦 𝑦 NUM ajst-5301 71 23 𝑠𝑖𝑛 𝑠𝑖𝑛 NOUN ajst-5301 71 24 𝛽 𝛽 PROPN ajst-5301 71 25 𝑦 𝑦 NOUN ajst-5301 71 26 ∏ ∏ NUM ajst-5301 71 27 𝑦 𝑦 DET ajst-5301 71 28 𝑐𝑜𝑠 𝑐𝑜𝑠 NOUN ajst-5301 71 29 𝛽 𝛽 NOUN ajst-5301 71 30 𝑥 𝑥 PROPN ajst-5301 71 31 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-5301 71 32 𝛽 𝛽 NOUN ajst-5301 71 33 ( ( PUNCT ajst-5301 71 34 9 9 NUM ajst-5301 71 35 ) ) PUNCT ajst-5301 71 36 from from ADP ajst-5301 71 37 the the DET ajst-5301 71 38 above above ADJ ajst-5301 71 39 formula formula NOUN ajst-5301 71 40 , , PUNCT ajst-5301 71 41 when when SCONJ ajst-5301 71 42 i i PRON ajst-5301 71 43 the the DET ajst-5301 71 44 value value NOUN ajst-5301 71 45 is be AUX ajst-5301 71 46 large large ADJ ajst-5301 71 47 enough enough ADV ajst-5301 71 48 , , PUNCT ajst-5301 71 49 𝛱𝑐𝑜𝑠𝛽 𝛱𝑐𝑜𝑠𝛽 PROPN ajst-5301 71 50 approaches approach VERB ajst-5301 71 51 to to ADP ajst-5301 71 52 a a DET ajst-5301 71 53 constant constant ADJ ajst-5301 71 54 , , PUNCT ajst-5301 71 55 which which PRON ajst-5301 71 56 can can AUX ajst-5301 71 57 be be AUX ajst-5301 71 58 set set VERB ajst-5301 71 59 manually manually ADV ajst-5301 71 60 at at ADP ajst-5301 71 61 this this DET ajst-5301 71 62 time time NOUN ajst-5301 71 63 𝑥 𝑥 PRON ajst-5301 71 64 、 、 NOUN ajst-5301 71 65 < < X ajst-5301 71 66 i i PROPN ajst-5301 71 67 mtid='535'>hellohello > X ajst-5301 71 69 the the DET ajst-5301 71 70 value value NOUN ajst-5301 71 71 of of ADP ajst-5301 71 72 < < X ajst-5301 71 73 p p X ajst-5301 71 74 mtid='539 mtid='539 X ajst-5301 71 75 ' ' NOUN ajst-5301 71 76 / / SYM ajst-5301 71 77 > > X ajst-5301 72 1 𝑥 𝑥 DET ajst-5301 72 2 𝛱 𝛱 PROPN ajst-5301 72 3 𝑐𝑜𝑠𝛽 𝑐𝑜𝑠𝛽 NOUN ajst-5301 72 4 , , PUNCT ajst-5301 72 5 𝑦 𝑦 NOUN ajst-5301 72 6 0 0 NUM ajst-5301 72 7 can can AUX ajst-5301 72 8 be be AUX ajst-5301 72 9 calculated calculate VERB ajst-5301 72 10 cos𝛽 cos𝛽 ADJ ajst-5301 72 11 , , PUNCT ajst-5301 72 12 𝑠𝑖𝑛 𝑠𝑖𝑛 ADJ ajst-5301 72 13 𝛽 𝛽 NOUN ajst-5301 72 14 to to PART ajst-5301 72 15 realize realize VERB ajst-5301 72 16 the the DET ajst-5301 72 17 operation operation NOUN ajst-5301 72 18 of of ADP ajst-5301 72 19 sine sine NOUN ajst-5301 72 20 and and CCONJ ajst-5301 72 21 cosine cosine NOUN ajst-5301 72 22 . . PUNCT ajst-5301 73 1 the the DET ajst-5301 73 2 idea idea NOUN ajst-5301 73 3 of of ADP ajst-5301 73 4 cordic cordic ADJ ajst-5301 73 5 algorithm algorithm NOUN ajst-5301 73 6 is be AUX ajst-5301 73 7 to to PART ajst-5301 73 8 use use VERB ajst-5301 73 9 a a DET ajst-5301 73 10 series series NOUN ajst-5301 73 11 of of ADP ajst-5301 73 12 iterative iterative ADJ ajst-5301 73 13 algorithms algorithm NOUN ajst-5301 73 14 to to ADP ajst-5301 73 15 yaw yaw NOUN ajst-5301 73 16 at at ADP ajst-5301 73 17 a a DET ajst-5301 73 18 fixed fix VERB ajst-5301 73 19 parameter parameter NOUN ajst-5301 73 20 angle angle NOUN ajst-5301 73 21 to to PART ajst-5301 73 22 approximate approximate VERB ajst-5301 73 23 the the DET ajst-5301 73 24 required require VERB ajst-5301 73 25 rotation rotation NOUN ajst-5301 73 26 angle angle NOUN ajst-5301 73 27 . . PUNCT ajst-5301 74 1 the the DET ajst-5301 74 2 implementation implementation NOUN ajst-5301 74 3 of of ADP ajst-5301 74 4 the the DET ajst-5301 74 5 algorithm algorithm NOUN ajst-5301 74 6 is be AUX ajst-5301 74 7 to to PART ajst-5301 74 8 iteratively iteratively ADV ajst-5301 74 9 approximate approximate VERB ajst-5301 74 10 the the DET ajst-5301 74 11 required require VERB ajst-5301 74 12 value value NOUN ajst-5301 74 13 . . PUNCT ajst-5301 75 1 at at ADP ajst-5301 75 2 the the DET ajst-5301 75 3 same same ADJ ajst-5301 75 4 time time NOUN ajst-5301 75 5 , , PUNCT ajst-5301 75 6 it it PRON ajst-5301 75 7 can can AUX ajst-5301 75 8 be be AUX ajst-5301 75 9 seen see VERB ajst-5301 75 10 that that SCONJ ajst-5301 75 11 due due ADP ajst-5301 75 12 to to ADP ajst-5301 75 13 the the DET ajst-5301 75 14 limitation limitation NOUN ajst-5301 75 15 of of ADP ajst-5301 75 16 hardware hardware NOUN ajst-5301 75 17 implementation implementation NOUN ajst-5301 75 18 , , PUNCT ajst-5301 75 19 infinite infinite ADJ ajst-5301 75 20 iteration iteration NOUN ajst-5301 75 21 is be AUX ajst-5301 75 22 not not PART ajst-5301 75 23 allowed allow VERB ajst-5301 75 24 , , PUNCT ajst-5301 75 25 otherwise otherwise ADV ajst-5301 75 26 the the DET ajst-5301 75 27 required required ADJ ajst-5301 75 28 resources resource NOUN ajst-5301 75 29 and and CCONJ ajst-5301 75 30 processing processing NOUN ajst-5301 75 31 time time NOUN ajst-5301 75 32 will will AUX ajst-5301 75 33 34 34 NUM ajst-5301 75 34 increase increase VERB ajst-5301 75 35 . . PUNCT ajst-5301 76 1 therefore therefore ADV ajst-5301 76 2 , , PUNCT ajst-5301 76 3 in in ADP ajst-5301 76 4 practical practical ADJ ajst-5301 76 5 application application NOUN ajst-5301 76 6 , , PUNCT ajst-5301 76 7 it it PRON ajst-5301 76 8 is be AUX ajst-5301 76 9 necessary necessary ADJ ajst-5301 76 10 to to PART ajst-5301 76 11 select select VERB ajst-5301 76 12 the the DET ajst-5301 76 13 number number NOUN ajst-5301 76 14 of of ADP ajst-5301 76 15 iterations iteration NOUN ajst-5301 76 16 according accord VERB ajst-5301 76 17 to to ADP ajst-5301 76 18 the the DET ajst-5301 76 19 requirements requirement NOUN ajst-5301 76 20 of of ADP ajst-5301 76 21 the the DET ajst-5301 76 22 system system NOUN ajst-5301 76 23 to to PART ajst-5301 76 24 achieve achieve VERB ajst-5301 76 25 the the DET ajst-5301 76 26 accuracy accuracy NOUN ajst-5301 76 27 required require VERB ajst-5301 76 28 by by ADP ajst-5301 76 29 the the DET ajst-5301 76 30 system system NOUN ajst-5301 76 31 . . PUNCT ajst-5301 77 1 3 3 X ajst-5301 77 2 . . X ajst-5301 77 3 cordic cordic ADJ ajst-5301 77 4 algorithm algorithm NOUN ajst-5301 77 5 structure structure NOUN ajst-5301 77 6 analysis analysis NOUN ajst-5301 77 7 from from ADP ajst-5301 77 8 the the DET ajst-5301 77 9 pseudorotation pseudorotation NOUN ajst-5301 77 10 equation equation NOUN ajst-5301 77 11 mentioned mention VERB ajst-5301 77 12 above above ADV ajst-5301 77 13 , , PUNCT ajst-5301 77 14 the the DET ajst-5301 77 15 following follow VERB ajst-5301 77 16 expression expression NOUN ajst-5301 77 17 can can AUX ajst-5301 77 18 be be AUX ajst-5301 77 19 obtained obtain VERB ajst-5301 77 20 : : PUNCT ajst-5301 77 21   NUM ajst-5301 77 22   PROPN ajst-5301 77 23   NUM ajst-5301 77 24   NUM ajst-5301 77 25   ADP ajst-5301 77 26   ADJ ajst-5301 77 27   ADJ ajst-5301 77 28   ADJ ajst-5301 77 29   PROPN ajst-5301 77 30   ADV ajst-5301 77 31   PROPN ajst-5301 77 32   VERB ajst-5301 77 33   PROPN ajst-5301 77 34   VERB ajst-5301 77 35 i i PRON ajst-5301 77 36 iii iii VERB ajst-5301 78 1 i i PRON ajst-5301 78 2 iiii iiii VERB ajst-5301 78 3 i i PRON ajst-5301 78 4 iiii iiii PROPN ajst-5301 78 5 dzz dzz PROPN ajst-5301 78 6 xdyy xdyy PROPN ajst-5301 78 7 ydxx ydxx PROPN ajst-5301 79 1 2tan 2tan NUM ajst-5301 79 2 2 2 NUM ajst-5301 79 3 2 2 NUM ajst-5301 79 4 1 1 NUM ajst-5301 79 5 1 1 NUM ajst-5301 79 6 1 1 NUM ajst-5301 79 7 1 1 NUM ajst-5301 79 8 ( ( PUNCT ajst-5301 79 9 10 10 NUM ajst-5301 79 10 ) ) PUNCT ajst-5301 79 11 where where SCONJ ajst-5301 79 12 ix ix ADV ajst-5301 79 13 , , PUNCT ajst-5301 79 14 iy iy INTJ ajst-5301 79 15 , , PUNCT ajst-5301 79 16 , , PUNCT ajst-5301 79 17 iz iz CCONJ ajst-5301 79 18 respectively respectively ADV ajst-5301 79 19 represent represent VERB ajst-5301 79 20 the the DET ajst-5301 79 21 abscissa abscissa NOUN ajst-5301 79 22 before before ADP ajst-5301 79 23 rotation rotation NOUN ajst-5301 79 24 , , PUNCT ajst-5301 79 25 the the DET ajst-5301 79 26 ordinate ordinate NOUN ajst-5301 79 27 before before ADP ajst-5301 79 28 rotation rotation NOUN ajst-5301 79 29 , , PUNCT ajst-5301 79 30 and and CCONJ ajst-5301 79 31 the the DET ajst-5301 79 32 remaining remain VERB ajst-5301 79 33 angle angle NOUN ajst-5301 79 34 before before ADP ajst-5301 79 35 rotation rotation NOUN ajst-5301 79 36 . . PUNCT ajst-5301 80 1 in in ADP ajst-5301 80 2 combination combination NOUN ajst-5301 80 3 with with ADP ajst-5301 80 4 the the DET ajst-5301 80 5 selection selection NOUN ajst-5301 80 6 direction direction NOUN ajst-5301 80 7 mentioned mention VERB ajst-5301 80 8 above above ADP ajst-5301 80 9 i i PROPN ajst-5301 80 10 d d PROPN ajst-5301 80 11 , , PUNCT ajst-5301 80 12 there there PRON ajst-5301 80 13 are be VERB ajst-5301 80 14 : : PUNCT ajst-5301 80 15   NOUN ajst-5301 80 16   NUM ajst-5301 80 17   NOUN ajst-5301 80 18   PUNCT ajst-5301 80 19   ADV ajst-5301 81 1   NOUN ajst-5301 82 1 01 01 NUM ajst-5301 82 2 01 01 NUM ajst-5301 83 1 i i PRON ajst-5301 83 2 i i PRON ajst-5301 84 1 i i VERB ajst-5301 84 2 z z NOUN ajst-5301 84 3 z z NOUN ajst-5301 85 1 d d NOUN ajst-5301 85 2 ( ( PUNCT ajst-5301 85 3 11 11 NUM ajst-5301 85 4 ) ) PUNCT ajst-5301 85 5 equations equation NOUN ajst-5301 85 6 ( ( PUNCT ajst-5301 85 7 10 10 NUM ajst-5301 85 8 ) ) PUNCT ajst-5301 85 9 and and CCONJ ajst-5301 85 10 ( ( PUNCT ajst-5301 85 11 11 11 NUM ajst-5301 85 12 ) ) PUNCT ajst-5301 85 13 are be AUX ajst-5301 85 14 referred refer VERB ajst-5301 85 15 to to ADP ajst-5301 85 16 as as ADP ajst-5301 85 17 the the DET ajst-5301 85 18 overall overall ADJ ajst-5301 85 19 iterative iterative NOUN ajst-5301 85 20 process process NOUN ajst-5301 85 21 of of ADP ajst-5301 85 22 cordic cordic ADJ ajst-5301 85 23 algorithm algorithm NOUN ajst-5301 85 24 circular circular ADJ ajst-5301 85 25 system system NOUN ajst-5301 85 26 rotation rotation NOUN ajst-5301 85 27 mode mode NOUN ajst-5301 85 28 . . PUNCT ajst-5301 86 1 from from ADP ajst-5301 86 2 the the DET ajst-5301 86 3 iterative iterative NOUN ajst-5301 86 4 process process NOUN ajst-5301 86 5 expression expression NOUN ajst-5301 86 6 , , PUNCT ajst-5301 86 7 the the DET ajst-5301 86 8 basic basic ADJ ajst-5301 86 9 processing processing NOUN ajst-5301 86 10 unit unit NOUN ajst-5301 86 11 of of ADP ajst-5301 86 12 cordic cordic ADJ ajst-5301 86 13 algorithm algorithm NOUN ajst-5301 86 14 for for ADP ajst-5301 86 15 hardware hardware NOUN ajst-5301 86 16 implementation implementation NOUN ajst-5301 86 17 in in ADP ajst-5301 86 18 rotation rotation NOUN ajst-5301 86 19 mode mode NOUN ajst-5301 86 20 can can AUX ajst-5301 86 21 be be AUX ajst-5301 86 22 obtained obtain VERB ajst-5301 86 23 . . PUNCT ajst-5301 87 1 as as SCONJ ajst-5301 87 2 shown show VERB ajst-5301 87 3 in in ADP ajst-5301 87 4 figure figure NOUN ajst-5301 87 5 2 2 NUM ajst-5301 87 6 . . X ajst-5301 87 7 ± ± NUM ajst-5301 87 8 notmsb notmsb PROPN ajst-5301 87 9 ix ix PROPN ajst-5301 87 10 iy iy INTJ ajst-5301 88 1 iz iz INTJ ajst-5301 88 2 i i PROPN ajst-5301 88 3 i i PROPN ajst-5301 88 4 ) ) PUNCT ajst-5301 88 5 2(tan 2(tan NOUN ajst-5301 88 6 1 1 NUM ajst-5301 88 7 i i PROPN ajst-5301 88 8 ± ± NUM ajst-5301 88 9 ± ± NUM ajst-5301 88 10 1ix 1ix NUM ajst-5301 88 11 1iy 1iy NUM ajst-5301 88 12 1iz 1iz NUM ajst-5301 88 13             SPACE ajst-5301 88 14 figure figure NOUN ajst-5301 88 15 2 2 NUM ajst-5301 88 16 . . PUNCT ajst-5301 88 17 cordic cordic ADJ ajst-5301 88 18 algorithm algorithm NOUN ajst-5301 88 19 circle circle NOUN ajst-5301 88 20 system system NOUN ajst-5301 88 21 rotation rotation NOUN ajst-5301 88 22 mode mode NOUN ajst-5301 88 23 processing processing NOUN ajst-5301 88 24 unit unit NOUN ajst-5301 88 25 it it PRON ajst-5301 88 26 can can AUX ajst-5301 88 27 be be AUX ajst-5301 88 28 seen see VERB ajst-5301 88 29 from from ADP ajst-5301 88 30 the the DET ajst-5301 88 31 above above ADJ ajst-5301 88 32 figure figure NOUN ajst-5301 88 33 that that SCONJ ajst-5301 88 34 the the DET ajst-5301 88 35 basic basic ADJ ajst-5301 88 36 processing processing NOUN ajst-5301 88 37 unit unit NOUN ajst-5301 88 38 of of ADP ajst-5301 88 39 cordic cordic ADJ ajst-5301 88 40 algorithm algorithm NOUN ajst-5301 88 41 is be AUX ajst-5301 88 42 composed compose VERB ajst-5301 88 43 of of ADP ajst-5301 88 44 three three NUM ajst-5301 88 45 adders adder NOUN ajst-5301 88 46 , , PUNCT ajst-5301 88 47 a a DET ajst-5301 88 48 lookup lookup NOUN ajst-5301 88 49 table table NOUN ajst-5301 88 50 lut lut PROPN ajst-5301 88 51 ( ( PUNCT ajst-5301 88 52 storage storage NOUN ajst-5301 88 53 angle angle NOUN ajst-5301 88 54 ) ) PUNCT ajst-5301 88 55 and and CCONJ ajst-5301 88 56 two two NUM ajst-5301 88 57 shift shift NOUN ajst-5301 88 58 operators operator NOUN ajst-5301 88 59 . . PUNCT ajst-5301 89 1 it it PRON ajst-5301 89 2 can can AUX ajst-5301 89 3 be be AUX ajst-5301 89 4 seen see VERB ajst-5301 89 5 from from ADP ajst-5301 89 6 this this DET ajst-5301 89 7 structure structure NOUN ajst-5301 89 8 that that SCONJ ajst-5301 89 9 the the DET ajst-5301 89 10 advantages advantage NOUN ajst-5301 89 11 of of ADP ajst-5301 89 12 cordic cordic ADJ ajst-5301 89 13 algorithm algorithm NOUN ajst-5301 89 14 are be AUX ajst-5301 89 15 perfectly perfectly ADV ajst-5301 89 16 reflected reflect VERB ajst-5301 89 17 . . PUNCT ajst-5301 90 1 since since SCONJ ajst-5301 90 2 the the DET ajst-5301 90 3 basic basic ADJ ajst-5301 90 4 structure structure NOUN ajst-5301 90 5 of of ADP ajst-5301 90 6 the the DET ajst-5301 90 7 processing processing NOUN ajst-5301 90 8 unit unit NOUN ajst-5301 90 9 used use VERB ajst-5301 90 10 in in ADP ajst-5301 90 11 each each DET ajst-5301 90 12 iteration iteration NOUN ajst-5301 90 13 is be AUX ajst-5301 90 14 the the DET ajst-5301 90 15 same same ADJ ajst-5301 90 16 , , PUNCT ajst-5301 90 17 only only ADV ajst-5301 90 18 in in ADP ajst-5301 90 19 terms term NOUN ajst-5301 90 20 of of ADP ajst-5301 90 21 shift shift NOUN ajst-5301 90 22 amount amount NOUN ajst-5301 90 23 and and CCONJ ajst-5301 90 24 storage storage NOUN ajst-5301 90 25 angle angle NOUN ajst-5301 90 26 , , PUNCT ajst-5301 90 27 two two NUM ajst-5301 90 28 hardware hardware NOUN ajst-5301 90 29 implementation implementation NOUN ajst-5301 90 30 architectures architecture NOUN ajst-5301 90 31 of of ADP ajst-5301 90 32 cordic cordic ADJ ajst-5301 90 33 algorithm algorithm NOUN ajst-5301 90 34 can can AUX ajst-5301 90 35 be be AUX ajst-5301 90 36 obtained obtain VERB ajst-5301 90 37 , , PUNCT ajst-5301 90 38 namely namely ADV ajst-5301 90 39 , , PUNCT ajst-5301 90 40 serial serial ADJ ajst-5301 90 41 architecture architecture NOUN ajst-5301 90 42 and and CCONJ ajst-5301 90 43 parallel parallel ADJ ajst-5301 90 44 architecture architecture NOUN ajst-5301 90 45 . . PUNCT ajst-5301 91 1 the the DET ajst-5301 91 2 general general ADJ ajst-5301 91 3 block block NOUN ajst-5301 91 4 diagram diagram NOUN ajst-5301 91 5 of of ADP ajst-5301 91 6 the the DET ajst-5301 91 7 serial serial ADJ ajst-5301 91 8 architecture architecture NOUN ajst-5301 91 9 is be AUX ajst-5301 91 10 shown show VERB ajst-5301 91 11 in in ADP ajst-5301 91 12 figure figure NOUN ajst-5301 91 13 3 3 NUM ajst-5301 91 14 . . PUNCT ajst-5301 91 15 figure figure NOUN ajst-5301 91 16 3 3 NUM ajst-5301 91 17 . . PUNCT ajst-5301 92 1 cordic cordic ADJ ajst-5301 92 2 algorithm algorithm NOUN ajst-5301 92 3 serial serial ADJ ajst-5301 92 4 structure structure NOUN ajst-5301 92 5 the the DET ajst-5301 92 6 block block NOUN ajst-5301 92 7 diagram diagram NOUN ajst-5301 92 8 of of ADP ajst-5301 92 9 parallel parallel ADJ ajst-5301 92 10 structure structure NOUN ajst-5301 92 11 is be AUX ajst-5301 92 12 shown show VERB ajst-5301 92 13 in in ADP ajst-5301 92 14 figure figure NOUN ajst-5301 92 15 4 4 NUM ajst-5301 92 16 . . PUNCT ajst-5301 92 17 figure figure VERB ajst-5301 92 18 4 4 NUM ajst-5301 92 19 . . PUNCT ajst-5301 93 1 cordic cordic ADJ ajst-5301 93 2 algorithm algorithm NOUN ajst-5301 93 3 parallel parallel NOUN ajst-5301 93 4 structure structure NOUN ajst-5301 93 5 the the DET ajst-5301 93 6 detailed detailed ADJ ajst-5301 93 7 block block NOUN ajst-5301 93 8 diagram diagram NOUN ajst-5301 93 9 of of ADP ajst-5301 93 10 the the DET ajst-5301 93 11 serial serial ADJ ajst-5301 93 12 structure structure NOUN ajst-5301 93 13 is be AUX ajst-5301 93 14 shown show VERB ajst-5301 93 15 in in ADP ajst-5301 93 16 figure figure NOUN ajst-5301 93 17 5 5 NUM ajst-5301 93 18 . . PUNCT ajst-5301 94 1 d d X ajst-5301 94 2 > > X ajst-5301 94 3 > > X ajst-5301 94 4 ± ± NUM ajst-5301 94 5 ± ± NUM ajst-5301 95 1 d d PROPN ajst-5301 95 2 d d PROPN ajst-5301 95 3 ± ± NUM ajst-5301 95 4 i i PRON ajst-5301 95 5 > > PUNCT ajst-5301 95 6 > > PUNCT ajst-5301 95 7 i i PRON ajst-5301 95 8 nx nx PROPN ajst-5301 95 9 sel sel PROPN ajst-5301 95 10 0y 0y PROPN ajst-5301 95 11 ny ny PROPN ajst-5301 95 12 nz nz PROPN ajst-5301 95 13 control control PROPN ajst-5301 95 14 ) ) PUNCT ajst-5301 95 15 sgn sgn NOUN ajst-5301 95 16 ( ( PUNCT ajst-5301 95 17 iy iy INTJ ajst-5301 95 18 i i PROPN ajst-5301 95 19 d d PROPN ajst-5301 95 20 i i PROPN ajst-5301 95 21 d d PROPN ajst-5301 95 22     SPACE ajst-5301 95 23 ) ) PUNCT ajst-5301 95 24 sgn sgn NOUN ajst-5301 95 25 ( ( PUNCT ajst-5301 95 26 iz iz ADV ajst-5301 95 27     SPACE ajst-5301 95 28 0z 0z X ajst-5301 95 29 sel sel PROPN ajst-5301 95 30 rom rom PROPN ajst-5301 95 31     SPACE ajst-5301 95 32 cnt cnt PROPN ajst-5301 95 33     SPACE ajst-5301 95 34 i i PROPN ajst-5301 95 35 d d PROPN ajst-5301 95 36 figure figure VERB ajst-5301 95 37 5 5 NUM ajst-5301 95 38 . . PUNCT ajst-5301 95 39 detailed detailed ADJ ajst-5301 95 40 diagram diagram NOUN ajst-5301 95 41 of of ADP ajst-5301 95 42 cordic cordic ADJ ajst-5301 95 43 algorithm algorithm NOUN ajst-5301 95 44 serial serial ADJ ajst-5301 95 45 structure structure NOUN ajst-5301 95 46 in in ADP ajst-5301 95 47 figure figure NOUN ajst-5301 95 48 5 5 NUM ajst-5301 95 49 , , PUNCT ajst-5301 95 50 sgn sgn NOUN ajst-5301 95 51 ( ( PUNCT ajst-5301 95 52 yi yi NOUN ajst-5301 95 53 ) ) PUNCT ajst-5301 95 54 and and CCONJ ajst-5301 95 55 sgn sgn NOUN ajst-5301 95 56 ( ( PUNCT ajst-5301 95 57 zi zi NOUN ajst-5301 95 58 ) ) PUNCT ajst-5301 95 59 respectively respectively ADV ajst-5301 95 60 represent represent VERB ajst-5301 95 61 the the DET ajst-5301 95 62 sign sign NOUN ajst-5301 95 63 bits bit NOUN ajst-5301 95 64 of of ADP ajst-5301 95 65 yi yi PROPN ajst-5301 95 66 and and CCONJ ajst-5301 95 67 zi zi NOUN ajst-5301 95 68 , , PUNCT ajst-5301 95 69 that that ADV ajst-5301 95 70 is is ADV ajst-5301 95 71 , , PUNCT ajst-5301 95 72 the the DET ajst-5301 95 73 highest high ADJ ajst-5301 95 74 bit bit NOUN ajst-5301 95 75 . . PUNCT ajst-5301 96 1 in in ADP ajst-5301 96 2 operation operation NOUN ajst-5301 96 3 , , PUNCT ajst-5301 96 4 cordic cordic ADJ ajst-5301 96 5 algorithm algorithm NOUN ajst-5301 96 6 will will AUX ajst-5301 96 7 choose choose VERB ajst-5301 96 8 different different ADJ ajst-5301 96 9 operation operation NOUN ajst-5301 96 10 modes mode NOUN ajst-5301 96 11 ( ( PUNCT ajst-5301 96 12 rotation rotation NOUN ajst-5301 96 13 mode mode NOUN ajst-5301 96 14 and and CCONJ ajst-5301 96 15 vector vector NOUN ajst-5301 96 16 mode mode NOUN ajst-5301 96 17 ) ) PUNCT ajst-5301 96 18 , , PUNCT ajst-5301 96 19 and and CCONJ ajst-5301 96 20 choose choose VERB ajst-5301 96 21 one one NUM ajst-5301 96 22 of of ADP ajst-5301 96 23 them they PRON ajst-5301 96 24 to to PART ajst-5301 96 25 assign assign VERB ajst-5301 96 26 to to ADP ajst-5301 96 27 di di PROPN ajst-5301 96 28 . . PUNCT ajst-5301 97 1 secondly secondly ADV ajst-5301 97 2 , , PUNCT ajst-5301 97 3 the the DET ajst-5301 97 4 adder adder NOUN ajst-5301 97 5 determines determine VERB ajst-5301 97 6 the the DET ajst-5301 97 7 working work VERB ajst-5301 97 8 mode mode NOUN ajst-5301 97 9 ( ( PUNCT ajst-5301 97 10 addition addition NOUN ajst-5301 97 11 operation operation NOUN ajst-5301 97 12 , , PUNCT ajst-5301 97 13 subtraction subtraction NOUN ajst-5301 97 14 operation operation NOUN ajst-5301 97 15 ) ) PUNCT ajst-5301 97 16 according accord VERB ajst-5301 97 17 to to ADP ajst-5301 97 18 the the DET ajst-5301 97 19 selected select VERB ajst-5301 97 20 value value NOUN ajst-5301 97 21 of of ADP ajst-5301 97 22 di di NOUN ajst-5301 97 23 . . PUNCT ajst-5301 98 1 " " PUNCT ajst-5301 98 2 > > PUNCT ajst-5301 98 3 > > PUNCT ajst-5301 98 4 i i PROPN ajst-5301 98 5 " " PUNCT ajst-5301 98 6 means mean VERB ajst-5301 98 7 that that SCONJ ajst-5301 98 8 the the DET ajst-5301 98 9 input input NOUN ajst-5301 98 10 data datum NOUN ajst-5301 98 11 is be AUX ajst-5301 98 12 shifted shift VERB ajst-5301 98 13 to to ADP ajst-5301 98 14 the the DET ajst-5301 98 15 right right NOUN ajst-5301 98 16 by by ADP ajst-5301 98 17 i i PRON ajst-5301 98 18 bit bit NOUN ajst-5301 98 19 , , PUNCT ajst-5301 98 20 which which PRON ajst-5301 98 21 is be AUX ajst-5301 98 22 controlled control VERB ajst-5301 98 23 by by ADP ajst-5301 98 24 the the DET ajst-5301 98 25 control control NOUN ajst-5301 98 26 module module NOUN ajst-5301 98 27 . . PUNCT ajst-5301 99 1 the the DET ajst-5301 99 2 data datum NOUN ajst-5301 99 3 stored store VERB ajst-5301 99 4 in in ADP ajst-5301 99 5 rom rom NOUN ajst-5301 99 6 is be AUX ajst-5301 99 7 the the DET ajst-5301 99 8 rotation rotation NOUN ajst-5301 99 9 angle angle NOUN ajst-5301 99 10 at at ADP ajst-5301 99 11 each each DET ajst-5301 99 12 iteration iteration NOUN ajst-5301 99 13 𝑡𝑎𝑛𝑑 𝑡𝑎𝑛𝑑 NOUN ajst-5301 99 14 2 2 NUM ajst-5301 99 15 , , PUNCT ajst-5301 99 16 can can AUX ajst-5301 99 17 be be AUX ajst-5301 99 18 expressed express VERB ajst-5301 99 19 in in ADP ajst-5301 99 20 angle angle NOUN ajst-5301 99 21 or or CCONJ ajst-5301 99 22 radian radian PROPN ajst-5301 99 23 . . PUNCT ajst-5301 100 1 take take VERB ajst-5301 100 2 16 16 NUM ajst-5301 100 3 iterations iteration NOUN ajst-5301 100 4 as as ADP ajst-5301 100 5 an an DET ajst-5301 100 6 example example NOUN ajst-5301 100 7 , , PUNCT ajst-5301 100 8 that that ADV ajst-5301 100 9 is is ADV ajst-5301 100 10 , , PUNCT ajst-5301 100 11 i=0 i=0 PROPN ajst-5301 100 12 , , PUNCT ajst-5301 100 13 1 1 NUM ajst-5301 100 14 , , PUNCT ajst-5301 100 15 2 2 NUM ajst-5301 100 16 , , PUNCT ajst-5301 100 17 ... ... PUNCT ajst-5301 100 18 , , PUNCT ajst-5301 100 19 15 15 NUM ajst-5301 100 20 , , PUNCT ajst-5301 100 21 design design VERB ajst-5301 100 22 a a DET ajst-5301 100 23 counter counter NOUN ajst-5301 100 24 cnt cnt PROPN ajst-5301 100 25 count count NOUN ajst-5301 100 26 value value NOUN ajst-5301 100 27 of of ADP ajst-5301 100 28 module module NOUN ajst-5301 100 29 16 16 NUM ajst-5301 100 30 from from ADP ajst-5301 100 31 0 0 NUM ajst-5301 100 32 to to ADP ajst-5301 100 33 15 15 NUM ajst-5301 100 34 , , PUNCT ajst-5301 100 35 and and CCONJ ajst-5301 100 36 generate generate VERB ajst-5301 100 37 the the DET ajst-5301 100 38 sel sel PROPN ajst-5301 100 39 signal signal NOUN ajst-5301 100 40 in in ADP ajst-5301 100 41 the the DET ajst-5301 100 42 figure figure NOUN ajst-5301 100 43 by by ADP ajst-5301 100 44 decoding decode VERB ajst-5301 100 45 the the DET ajst-5301 100 46 count count NOUN ajst-5301 100 47 value value NOUN ajst-5301 100 48 , , PUNCT ajst-5301 100 49 that that ADV ajst-5301 100 50 is is ADV ajst-5301 100 51 , , PUNCT ajst-5301 100 52 when when SCONJ ajst-5301 100 53 cnt>0 cnt>0 PROPN ajst-5301 100 54 , , PUNCT ajst-5301 100 55 sel sel X ajst-5301 100 56 is be AUX ajst-5301 100 57 1 1 NUM ajst-5301 100 58 , , PUNCT ajst-5301 100 59 otherwise otherwise ADV ajst-5301 100 60 it it PRON ajst-5301 100 61 is be AUX ajst-5301 100 62 0 0 NUM ajst-5301 100 63 . . PUNCT ajst-5301 101 1 at at ADP ajst-5301 101 2 the the DET ajst-5301 101 3 same same ADJ ajst-5301 101 4 time time NOUN ajst-5301 101 5 , , PUNCT ajst-5301 101 6 the the DET ajst-5301 101 7 count count NOUN ajst-5301 101 8 value value NOUN ajst-5301 101 9 can can AUX ajst-5301 101 10 also also ADV ajst-5301 101 11 dynamically dynamically ADV ajst-5301 101 12 adjust adjust VERB ajst-5301 101 13 the the DET ajst-5301 101 14 shift shift NOUN ajst-5301 101 15 amount amount NOUN ajst-5301 101 16 , , PUNCT ajst-5301 101 17 as as SCONJ ajst-5301 101 18 shown show VERB ajst-5301 101 19 in in ADP ajst-5301 101 20 figure figure NOUN ajst-5301 101 21 6 6 NUM ajst-5301 101 22 . . PUNCT ajst-5301 102 1 in in ADP ajst-5301 102 2 addition addition NOUN ajst-5301 102 3 , , PUNCT ajst-5301 102 4 the the DET ajst-5301 102 5 count count NOUN ajst-5301 102 6 value value NOUN ajst-5301 102 7 can can AUX ajst-5301 102 8 also also ADV ajst-5301 102 9 be be AUX ajst-5301 102 10 used use VERB ajst-5301 102 11 as as ADP ajst-5301 102 12 the the DET ajst-5301 102 13 read read ADJ ajst-5301 102 14 address address NOUN ajst-5301 102 15 of of ADP ajst-5301 102 16 the the DET ajst-5301 102 17 rom rom NOUN ajst-5301 102 18 . . PUNCT ajst-5301 103 1 this this DET ajst-5301 103 2 35 35 NUM ajst-5301 103 3 is be AUX ajst-5301 103 4 the the DET ajst-5301 103 5 architecture architecture NOUN ajst-5301 103 6 used use VERB ajst-5301 103 7 by by ADP ajst-5301 103 8 the the DET ajst-5301 103 9 traditional traditional ADJ ajst-5301 103 10 cordic cordic ADJ ajst-5301 103 11 algorithm algorithm NOUN ajst-5301 103 12 . . PUNCT ajst-5301 104 1 0 0 NUM ajst-5301 104 2 1 1 NUM ajst-5301 104 3 0 0 NUM ajst-5301 104 4 1 1 NUM ajst-5301 104 5 0 0 NUM ajst-5301 104 6 1 1 NUM ajst-5301 104 7 0 0 NUM ajst-5301 104 8 1 1 NUM ajst-5301 104 9 cnt cnt NOUN ajst-5301 104 10 ix ix ADP ajst-5301 104 11 > > X ajst-5301 104 12 > > PROPN ajst-5301 104 13 1 1 NUM ajst-5301 104 14 > > PUNCT ajst-5301 104 15 > > X ajst-5301 104 16 2 2 NUM ajst-5301 104 17 > > PUNCT ajst-5301 104 18 > > X ajst-5301 104 19 4 4 NUM ajst-5301 104 20 > > PUNCT ajst-5301 104 21 > > X ajst-5301 104 22 8 8 NUM ajst-5301 104 23 1ix 1ix NUM ajst-5301 104 24 ] ] PUNCT ajst-5301 104 25 0[cnt 0[cnt NUM ajst-5301 104 26 ] ] PUNCT ajst-5301 104 27 1[cnt 1[cnt NUM ajst-5301 104 28 ] ] X ajst-5301 104 29 2[cnt 2[cnt NUM ajst-5301 104 30 ] ] PUNCT ajst-5301 104 31 3[cnt 3[cnt NUM ajst-5301 104 32 figure figure NOUN ajst-5301 104 33 6 6 NUM ajst-5301 104 34 . . PUNCT ajst-5301 104 35 dynamic dynamic ADJ ajst-5301 104 36 shift shift NOUN ajst-5301 104 37 circuit circuit NOUN ajst-5301 104 38 the the DET ajst-5301 104 39 detailed detailed ADJ ajst-5301 104 40 block block NOUN ajst-5301 104 41 diagram diagram NOUN ajst-5301 104 42 of of ADP ajst-5301 104 43 the the DET ajst-5301 104 44 parallel parallel ADJ ajst-5301 104 45 structure structure NOUN ajst-5301 104 46 is be AUX ajst-5301 104 47 shown show VERB ajst-5301 104 48 in in ADP ajst-5301 104 49 figure figure NOUN ajst-5301 104 50 7 7 NUM ajst-5301 104 51 . . PUNCT ajst-5301 104 52 > > PUNCT ajst-5301 104 53 > > X ajst-5301 104 54 0 0 PUNCT ajst-5301 104 55 > > PUNCT ajst-5301 104 56 > > X ajst-5301 104 57 0 0 PUNCT ajst-5301 104 58 > > PUNCT ajst-5301 104 59 > > X ajst-5301 104 60 1>>1 1>>1 NUM ajst-5301 104 61 > > PUNCT ajst-5301 104 62 > > X ajst-5301 104 63 2>>2 2>>2 NUM ajst-5301 104 64 > > PUNCT ajst-5301 104 65 > > X ajst-5301 104 66 n>>n n>>n PROPN ajst-5301 104 67 ± ± PROPN ajst-5301 104 68 ± ± PROPN ajst-5301 104 69 ± ± PROPN ajst-5301 104 70 ± ± PROPN ajst-5301 104 71 ± ± PROPN ajst-5301 104 72 ± ± PROPN ajst-5301 104 73 ± ± PROPN ajst-5301 104 74 ± ± PROPN ajst-5301 104 75 ± ± PROPN ajst-5301 104 76 ± ± PROPN ajst-5301 104 77 ± ± PROPN ajst-5301 104 78 ± ± PROPN ajst-5301 104 79 c0 c0 PROPN ajst-5301 104 80 c1 c1 PROPN ajst-5301 104 81 c2 c2 PROPN ajst-5301 104 82 cn cn PROPN ajst-5301 105 1 0x 0x PROPN ajst-5301 105 2 0y 0y X ajst-5301 105 3 0z 0z PROPN ajst-5301 105 4 nx nx PROPN ajst-5301 105 5 ny ny PROPN ajst-5301 105 6 nz nz PROPN ajst-5301 105 7 sgn sgn NOUN ajst-5301 105 8 sgn sgn NOUN ajst-5301 105 9 figure figure NOUN ajst-5301 105 10 7 7 NUM ajst-5301 105 11 . . PUNCT ajst-5301 105 12 detailed detailed ADJ ajst-5301 105 13 parallel parallel ADJ ajst-5301 105 14 structure structure NOUN ajst-5301 105 15 of of ADP ajst-5301 105 16 cordic cordic ADJ ajst-5301 105 17 algorithm algorithm NOUN ajst-5301 105 18 it it PRON ajst-5301 105 19 can can AUX ajst-5301 105 20 be be AUX ajst-5301 105 21 seen see VERB ajst-5301 105 22 from from ADP ajst-5301 105 23 the the DET ajst-5301 105 24 above above ADJ ajst-5301 105 25 figures figure NOUN ajst-5301 105 26 that that SCONJ ajst-5301 105 27 in in ADP ajst-5301 105 28 the the DET ajst-5301 105 29 implementation implementation NOUN ajst-5301 105 30 architecture architecture NOUN ajst-5301 105 31 of of ADP ajst-5301 105 32 cordic cordic NOUN ajst-5301 105 33 , , PUNCT ajst-5301 105 34 compared compare VERB ajst-5301 105 35 with with ADP ajst-5301 105 36 the the DET ajst-5301 105 37 parallel parallel ADJ ajst-5301 105 38 architecture architecture NOUN ajst-5301 105 39 , , PUNCT ajst-5301 105 40 the the DET ajst-5301 105 41 serial serial ADJ ajst-5301 105 42 cordic cordic ADJ ajst-5301 105 43 processing processing NOUN ajst-5301 105 44 unit unit NOUN ajst-5301 105 45 uses use VERB ajst-5301 105 46 synchronous synchronous ADJ ajst-5301 105 47 time time NOUN ajst-5301 105 48 - - PUNCT ajst-5301 105 49 sharing share VERB ajst-5301 105 50 multiplexing multiplexing NOUN ajst-5301 105 51 , , PUNCT ajst-5301 105 52 which which PRON ajst-5301 105 53 leads lead VERB ajst-5301 105 54 to to ADP ajst-5301 105 55 the the DET ajst-5301 105 56 minimum minimum ADJ ajst-5301 105 57 resources resource NOUN ajst-5301 105 58 occupied occupy VERB ajst-5301 105 59 by by ADP ajst-5301 105 60 the the DET ajst-5301 105 61 serial serial ADJ ajst-5301 105 62 structure structure NOUN ajst-5301 105 63 . . PUNCT ajst-5301 106 1 this this PRON ajst-5301 106 2 makes make VERB ajst-5301 106 3 the the DET ajst-5301 106 4 design design NOUN ajst-5301 106 5 of of ADP ajst-5301 106 6 cordic cordic ADJ ajst-5301 106 7 control control NOUN ajst-5301 106 8 unit unit NOUN ajst-5301 106 9 slightly slightly ADV ajst-5301 106 10 more more ADV ajst-5301 106 11 complex complex ADJ ajst-5301 106 12 , , PUNCT ajst-5301 106 13 the the DET ajst-5301 106 14 timing timing NOUN ajst-5301 106 15 control control NOUN ajst-5301 106 16 is be AUX ajst-5301 106 17 more more ADV ajst-5301 106 18 cumbersome cumbersome ADJ ajst-5301 106 19 , , PUNCT ajst-5301 106 20 and and CCONJ ajst-5301 106 21 the the DET ajst-5301 106 22 system system NOUN ajst-5301 106 23 processing processing NOUN ajst-5301 106 24 speed speed NOUN ajst-5301 106 25 is be AUX ajst-5301 106 26 lower low ADJ ajst-5301 106 27 . . PUNCT ajst-5301 107 1 the the DET ajst-5301 107 2 parallel parallel ADJ ajst-5301 107 3 structure structure NOUN ajst-5301 107 4 is be AUX ajst-5301 107 5 an an DET ajst-5301 107 6 extension extension NOUN ajst-5301 107 7 and and CCONJ ajst-5301 107 8 improvement improvement NOUN ajst-5301 107 9 of of ADP ajst-5301 107 10 the the DET ajst-5301 107 11 serial serial ADJ ajst-5301 107 12 structure structure NOUN ajst-5301 107 13 . . PUNCT ajst-5301 108 1 this this DET ajst-5301 108 2 structure structure NOUN ajst-5301 108 3 introduces introduce VERB ajst-5301 108 4 an an DET ajst-5301 108 5 independent independent ADJ ajst-5301 108 6 cordic cordic ADJ ajst-5301 108 7 processing processing NOUN ajst-5301 108 8 unit unit NOUN ajst-5301 108 9 for for ADP ajst-5301 108 10 each each DET ajst-5301 108 11 iteration iteration NOUN ajst-5301 108 12 of of ADP ajst-5301 108 13 the the DET ajst-5301 108 14 algorithm algorithm NOUN ajst-5301 108 15 , , PUNCT ajst-5301 108 16 so so SCONJ ajst-5301 108 17 it it PRON ajst-5301 108 18 does do AUX ajst-5301 108 19 not not PART ajst-5301 108 20 need need VERB ajst-5301 108 21 the the DET ajst-5301 108 22 addition addition NOUN ajst-5301 108 23 of of ADP ajst-5301 108 24 other other ADJ ajst-5301 108 25 control control NOUN ajst-5301 108 26 circuits circuit NOUN ajst-5301 108 27 , , PUNCT ajst-5301 108 28 and and CCONJ ajst-5301 108 29 the the DET ajst-5301 108 30 whole whole ADJ ajst-5301 108 31 process process NOUN ajst-5301 108 32 only only ADV ajst-5301 108 33 needs need VERB ajst-5301 108 34 shift shift NOUN ajst-5301 108 35 , , PUNCT ajst-5301 108 36 addition addition NOUN ajst-5301 108 37 and and CCONJ ajst-5301 108 38 subtraction subtraction NOUN ajst-5301 108 39 operations operation NOUN ajst-5301 108 40 . . PUNCT ajst-5301 109 1 this this PRON ajst-5301 109 2 is be AUX ajst-5301 109 3 the the DET ajst-5301 109 4 biggest big ADJ ajst-5301 109 5 difference difference NOUN ajst-5301 109 6 from from ADP ajst-5301 109 7 the the DET ajst-5301 109 8 cordic cordic ADJ ajst-5301 109 9 processing processing NOUN ajst-5301 109 10 unit unit NOUN ajst-5301 109 11 in in ADP ajst-5301 109 12 the the DET ajst-5301 109 13 serial serial ADJ ajst-5301 109 14 structure structure NOUN ajst-5301 109 15 . . PUNCT ajst-5301 110 1 in in ADP ajst-5301 110 2 order order NOUN ajst-5301 110 3 to to PART ajst-5301 110 4 improve improve VERB ajst-5301 110 5 the the DET ajst-5301 110 6 processing processing NOUN ajst-5301 110 7 speed speed NOUN ajst-5301 110 8 of of ADP ajst-5301 110 9 the the DET ajst-5301 110 10 system system NOUN ajst-5301 110 11 , , PUNCT ajst-5301 110 12 this this DET ajst-5301 110 13 paper paper NOUN ajst-5301 110 14 adds add VERB ajst-5301 110 15 a a DET ajst-5301 110 16 pipeline pipeline NOUN ajst-5301 110 17 register register VERB ajst-5301 110 18 to to ADP ajst-5301 110 19 the the DET ajst-5301 110 20 parallel parallel ADJ ajst-5301 110 21 structure structure NOUN ajst-5301 110 22 , , PUNCT ajst-5301 110 23 which which PRON ajst-5301 110 24 effectively effectively ADV ajst-5301 110 25 shortens shorten VERB ajst-5301 110 26 the the DET ajst-5301 110 27 critical critical ADJ ajst-5301 110 28 path path NOUN ajst-5301 110 29 and and CCONJ ajst-5301 110 30 makes make VERB ajst-5301 110 31 the the DET ajst-5301 110 32 length length NOUN ajst-5301 110 33 of of ADP ajst-5301 110 34 the the DET ajst-5301 110 35 critical critical ADJ ajst-5301 110 36 path path NOUN ajst-5301 110 37 change change NOUN ajst-5301 110 38 from from ADP ajst-5301 110 39 n n CCONJ ajst-5301 110 40 cordic cordic ADJ ajst-5301 110 41 processing processing NOUN ajst-5301 110 42 units unit NOUN ajst-5301 110 43 of of ADP ajst-5301 110 44 the the DET ajst-5301 110 45 parallel parallel ADJ ajst-5301 110 46 structure structure NOUN ajst-5301 110 47 to to ADP ajst-5301 110 48 1 1 NUM ajst-5301 110 49 cordic cordic ADJ ajst-5301 110 50 processing processing NOUN ajst-5301 110 51 unit unit NOUN ajst-5301 110 52 . . PUNCT ajst-5301 111 1 the the DET ajst-5301 111 2 block block NOUN ajst-5301 111 3 diagram diagram NOUN ajst-5301 111 4 of of ADP ajst-5301 111 5 parallel parallel ADJ ajst-5301 111 6 pipeline pipeline NOUN ajst-5301 111 7 structure structure NOUN ajst-5301 111 8 is be AUX ajst-5301 111 9 shown show VERB ajst-5301 111 10 in in ADP ajst-5301 111 11 figure figure NOUN ajst-5301 111 12 8 8 NUM ajst-5301 111 13 . . PUNCT ajst-5301 112 1 cordic cordic ADJ ajst-5301 112 2 处理单元 处理单元 PROPN ajst-5301 112 3 0x 0x PROPN ajst-5301 112 4 nx nx NUM ajst-5301 112 5 0i 0i NOUN ajst-5301 112 6 0y 0y NOUN ajst-5301 112 7 0z 0z X ajst-5301 112 8 cordic cordic PROPN ajst-5301 112 9 处理单元 处理单元 PROPN ajst-5301 112 10 cordic cordic PROPN ajst-5301 112 11 处理单元 处理单元 PROPN ajst-5301 112 12 nz nz PROPN ajst-5301 112 13 ny ny PROPN ajst-5301 112 14 1i 1i PROPN ajst-5301 112 15 1ni 1ni NUM ajst-5301 112 16 d d PART ajst-5301 112 17 dd dd NOUN ajst-5301 112 18 figure figure NOUN ajst-5301 112 19 8 8 NUM ajst-5301 112 20 . . PUNCT ajst-5301 113 1 parallel parallel ADJ ajst-5301 113 2 pipeline pipeline NOUN ajst-5301 113 3 structure structure NOUN ajst-5301 113 4 of of ADP ajst-5301 113 5 cordic cordic ADJ ajst-5301 113 6 algorithm algorithm NOUN ajst-5301 113 7 4 4 NUM ajst-5301 113 8 . . PUNCT ajst-5301 113 9 improved improve VERB ajst-5301 113 10 cordic cordic ADJ ajst-5301 113 11 algorithm algorithm NOUN ajst-5301 113 12 the the DET ajst-5301 113 13 implementation implementation NOUN ajst-5301 113 14 method method NOUN ajst-5301 113 15 and and CCONJ ajst-5301 113 16 process process NOUN ajst-5301 113 17 of of ADP ajst-5301 113 18 the the DET ajst-5301 113 19 traditional traditional ADJ ajst-5301 113 20 serial serial ADJ ajst-5301 113 21 cordic cordic ADJ ajst-5301 113 22 algorithm algorithm NOUN ajst-5301 113 23 is be AUX ajst-5301 113 24 relatively relatively ADV ajst-5301 113 25 simple simple ADJ ajst-5301 113 26 , , PUNCT ajst-5301 113 27 and and CCONJ ajst-5301 113 28 because because SCONJ ajst-5301 113 29 the the DET ajst-5301 113 30 angle angle NOUN ajst-5301 113 31 of of ADP ajst-5301 113 32 each each DET ajst-5301 113 33 rotation rotation NOUN ajst-5301 113 34 is be AUX ajst-5301 113 35 fixed fix VERB ajst-5301 113 36 , , PUNCT ajst-5301 113 37 the the DET ajst-5301 113 38 multi multi ADJ ajst-5301 113 39 - - ADJ ajst-5301 113 40 level level ADJ ajst-5301 113 41 parallel parallel ADJ ajst-5301 113 42 pipeline pipeline NOUN ajst-5301 113 43 structure structure NOUN ajst-5301 113 44 is be AUX ajst-5301 113 45 required require VERB ajst-5301 113 46 to to PART ajst-5301 113 47 achieve achieve VERB ajst-5301 113 48 high high ADJ ajst-5301 113 49 precision precision NOUN ajst-5301 113 50 calculation calculation NOUN ajst-5301 113 51 . . PUNCT ajst-5301 114 1 however however ADV ajst-5301 114 2 , , PUNCT ajst-5301 114 3 the the DET ajst-5301 114 4 traditional traditional ADJ ajst-5301 114 5 cordic cordic ADJ ajst-5301 114 6 parallel parallel ADJ ajst-5301 114 7 multistage multistage NOUN ajst-5301 114 8 pipeline pipeline NOUN ajst-5301 114 9 structure structure NOUN ajst-5301 114 10 uses use VERB ajst-5301 114 11 a a DET ajst-5301 114 12 higher high ADJ ajst-5301 114 13 number number NOUN ajst-5301 114 14 of of ADP ajst-5301 114 15 stages stage NOUN ajst-5301 114 16 , , PUNCT ajst-5301 114 17 resulting result VERB ajst-5301 114 18 in in ADP ajst-5301 114 19 a a DET ajst-5301 114 20 large large ADJ ajst-5301 114 21 overall overall ADJ ajst-5301 114 22 circuit circuit NOUN ajst-5301 114 23 delay delay NOUN ajst-5301 114 24 and and CCONJ ajst-5301 114 25 increased increase VERB ajst-5301 114 26 hardware hardware NOUN ajst-5301 114 27 costs cost NOUN ajst-5301 114 28 . . PUNCT ajst-5301 115 1 based base VERB ajst-5301 115 2 on on ADP ajst-5301 115 3 the the DET ajst-5301 115 4 above above ADJ ajst-5301 115 5 conditions condition NOUN ajst-5301 115 6 , , PUNCT ajst-5301 115 7 this this DET ajst-5301 115 8 paper paper NOUN ajst-5301 115 9 proposes propose VERB ajst-5301 115 10 an an DET ajst-5301 115 11 improved improved ADJ ajst-5301 115 12 cordic cordic ADJ ajst-5301 115 13 parallel parallel ADJ ajst-5301 115 14 structure structure NOUN ajst-5301 115 15 based base VERB ajst-5301 115 16 on on ADP ajst-5301 115 17 the the DET ajst-5301 115 18 traditional traditional ADJ ajst-5301 115 19 serial serial ADJ ajst-5301 115 20 cordic cordic NOUN ajst-5301 115 21 and and CCONJ ajst-5301 115 22 the the DET ajst-5301 115 23 traditional traditional ADJ ajst-5301 115 24 parallel parallel ADJ ajst-5301 115 25 pipelined pipeline VERB ajst-5301 115 26 cordic cordic NOUN ajst-5301 115 27 , , PUNCT ajst-5301 115 28 which which PRON ajst-5301 115 29 is be AUX ajst-5301 115 30 composed compose VERB ajst-5301 115 31 of of ADP ajst-5301 115 32 a a DET ajst-5301 115 33 12 12 NUM ajst-5301 115 34 - - PUNCT ajst-5301 115 35 stage stage NOUN ajst-5301 115 36 pipeline pipeline NOUN ajst-5301 115 37 and and CCONJ ajst-5301 115 38 a a DET ajst-5301 115 39 small small ADJ ajst-5301 115 40 - - PUNCT ajst-5301 115 41 capacity capacity NOUN ajst-5301 115 42 sine sine NOUN ajst-5301 115 43 and and CCONJ ajst-5301 115 44 cosine cosine NOUN ajst-5301 115 45 lookup lookup NOUN ajst-5301 115 46 table table NOUN ajst-5301 115 47 . . PUNCT ajst-5301 116 1 4.1 4.1 NUM ajst-5301 116 2 . . PUNCT ajst-5301 116 3 angle angle NOUN ajst-5301 116 4 binary binary ADJ ajst-5301 116 5 coding coding NOUN ajst-5301 116 6 in in ADP ajst-5301 116 7 the the DET ajst-5301 116 8 research research NOUN ajst-5301 116 9 of of ADP ajst-5301 116 10 traditional traditional ADJ ajst-5301 116 11 researchers researcher NOUN ajst-5301 116 12 and and CCONJ ajst-5301 116 13 scholars scholar NOUN ajst-5301 116 14 on on ADP ajst-5301 116 15 cordic cordic ADJ ajst-5301 116 16 , , PUNCT ajst-5301 116 17 it it PRON ajst-5301 116 18 is be AUX ajst-5301 116 19 known know VERB ajst-5301 116 20 from from ADP ajst-5301 116 21 various various ADJ ajst-5301 116 22 research research NOUN ajst-5301 116 23 data datum NOUN ajst-5301 116 24 that that PRON ajst-5301 116 25 in in ADP ajst-5301 116 26 the the DET ajst-5301 116 27 traditional traditional ADJ ajst-5301 116 28 implementation implementation NOUN ajst-5301 116 29 method method NOUN ajst-5301 116 30 of of ADP ajst-5301 116 31 the the DET ajst-5301 116 32 algorithm algorithm NOUN ajst-5301 116 33 , , PUNCT ajst-5301 116 34 the the DET ajst-5301 116 35 resource resource NOUN ajst-5301 116 36 consumption consumption NOUN ajst-5301 116 37 for for ADP ajst-5301 116 38 calculating calculate VERB ajst-5301 116 39 the the DET ajst-5301 116 40 remaining remain VERB ajst-5301 116 41 angle angle NOUN ajst-5301 116 42 basically basically ADV ajst-5301 116 43 accounts account VERB ajst-5301 116 44 for for ADP ajst-5301 116 45 1/3 1/3 NUM ajst-5301 116 46 of of ADP ajst-5301 116 47 the the DET ajst-5301 116 48 total total ADJ ajst-5301 116 49 resource resource NOUN ajst-5301 116 50 consumption consumption NOUN ajst-5301 116 51 . . PUNCT ajst-5301 117 1 in in ADP ajst-5301 117 2 the the DET ajst-5301 117 3 actual actual ADJ ajst-5301 117 4 operation operation NOUN ajst-5301 117 5 process process NOUN ajst-5301 117 6 of of ADP ajst-5301 117 7 the the DET ajst-5301 117 8 algorithm algorithm NOUN ajst-5301 117 9 , , PUNCT ajst-5301 117 10 the the DET ajst-5301 117 11 direction direction NOUN ajst-5301 117 12 of of ADP ajst-5301 117 13 each each DET ajst-5301 117 14 rotation rotation NOUN ajst-5301 117 15 and and CCONJ ajst-5301 117 16 the the DET ajst-5301 117 17 size size NOUN ajst-5301 117 18 of of ADP ajst-5301 117 19 the the DET ajst-5301 117 20 iteration iteration NOUN ajst-5301 117 21 are be AUX ajst-5301 117 22 inseparable inseparable ADJ ajst-5301 117 23 from from ADP ajst-5301 117 24 the the DET ajst-5301 117 25 last last ADJ ajst-5301 117 26 rotation rotation NOUN ajst-5301 117 27 , , PUNCT ajst-5301 117 28 which which PRON ajst-5301 117 29 has have VERB ajst-5301 117 30 an an DET ajst-5301 117 31 inevitable inevitable ADJ ajst-5301 117 32 impact impact NOUN ajst-5301 117 33 on on ADP ajst-5301 117 34 the the DET ajst-5301 117 35 overall overall ADJ ajst-5301 117 36 operation operation NOUN ajst-5301 117 37 speed speed NOUN ajst-5301 117 38 of of ADP ajst-5301 117 39 the the DET ajst-5301 117 40 system system NOUN ajst-5301 117 41 . . PUNCT ajst-5301 118 1 according accord VERB ajst-5301 118 2 to to ADP ajst-5301 118 3 the the DET ajst-5301 118 4 calculation calculation NOUN ajst-5301 118 5 relationship relationship NOUN ajst-5301 118 6 of of ADP ajst-5301 118 7 trigonometric trigonometric ADJ ajst-5301 118 8 function function NOUN ajst-5301 118 9 , , PUNCT ajst-5301 118 10 in in ADP ajst-5301 118 11 order order NOUN ajst-5301 118 12 to to PART ajst-5301 118 13 avoid avoid VERB ajst-5301 118 14 such such ADJ ajst-5301 118 15 influence influence NOUN ajst-5301 118 16 0 0 NUM ajst-5301 118 17 , , PUNCT ajst-5301 118 18 𝜋/4 𝜋/4 PUNCT ajst-5301 118 19 the the DET ajst-5301 118 20 rotation rotation NOUN ajst-5301 118 21 angle angle NOUN ajst-5301 118 22 of of ADP ajst-5301 118 23 is be AUX ajst-5301 118 24 expressed express VERB ajst-5301 118 25 by by ADP ajst-5301 118 26 n n CCONJ ajst-5301 118 27 - - PUNCT ajst-5301 118 28 bit bit NOUN ajst-5301 118 29 binary binary ADJ ajst-5301 118 30 number number NOUN ajst-5301 118 31 . . PUNCT ajst-5301 119 1   X ajst-5301 119 2   NUM ajst-5301 119 3   PROPN ajst-5301 119 4 n n CCONJ ajst-5301 119 5 n n CCONJ ajst-5301 119 6 n n ADV ajst-5301 119 7 na na PART ajst-5301 119 8 1 1 NUM ajst-5301 119 9 2 2 NUM ajst-5301 119 10 ( ( PUNCT ajst-5301 119 11 12 12 NUM ajst-5301 119 12 ) ) PUNCT ajst-5301 119 13 among among ADP ajst-5301 119 14 them they PRON ajst-5301 119 15 , , PUNCT ajst-5301 119 16 𝑎 𝑎 DET ajst-5301 119 17 0，1 0，1 NOUN ajst-5301 119 18 it it PRON ajst-5301 119 19 is be AUX ajst-5301 119 20 the the DET ajst-5301 119 21 bit bit NOUN ajst-5301 119 22   NOUN ajst-5301 119 23 value value NOUN ajst-5301 119 24 of of ADP ajst-5301 119 25 the the DET ajst-5301 119 26 input input NOUN ajst-5301 119 27 rotation rotation NOUN ajst-5301 119 28 angle angle NOUN ajst-5301 119 29 expressed express VERB ajst-5301 119 30 in in ADP ajst-5301 119 31 binary binary NOUN ajst-5301 119 32 . . PUNCT ajst-5301 120 1 so so ADV ajst-5301 120 2 far far ADV ajst-5301 120 3 , , PUNCT ajst-5301 120 4 the the DET ajst-5301 120 5 angle angle NOUN ajst-5301 120 6 and and CCONJ ajst-5301 120 7 direction direction NOUN ajst-5301 120 8 of of ADP ajst-5301 120 9 each each DET ajst-5301 120 10 rotation rotation NOUN ajst-5301 120 11 can can AUX ajst-5301 120 12 be be AUX ajst-5301 120 13 determined determine VERB ajst-5301 120 14 according accord VERB ajst-5301 120 15 to to ADP ajst-5301 120 16 the the DET ajst-5301 120 17 size size NOUN ajst-5301 120 18 of of ADP ajst-5301 120 19 this this DET ajst-5301 120 20 value value NOUN ajst-5301 120 21 . . PUNCT ajst-5301 121 1 because because SCONJ ajst-5301 121 2 𝑎 𝑎 PRON ajst-5301 121 3 it it PRON ajst-5301 121 4 represents represent VERB ajst-5301 121 5 a a DET ajst-5301 121 6 binary binary ADJ ajst-5301 121 7 bit bit NOUN ajst-5301 121 8 value value NOUN ajst-5301 121 9 . . PUNCT ajst-5301 122 1 it it PRON ajst-5301 122 2 does do AUX ajst-5301 122 3 not not PART ajst-5301 122 4 consume consume VERB ajst-5301 122 5 additional additional ADJ ajst-5301 122 6 resources resource NOUN ajst-5301 122 7 in in ADP ajst-5301 122 8 the the DET ajst-5301 122 9 hardware hardware NOUN ajst-5301 122 10 implementation implementation NOUN ajst-5301 122 11 process process NOUN ajst-5301 122 12 , , PUNCT ajst-5301 122 13 thus thus ADV ajst-5301 122 14 eliminating eliminate VERB ajst-5301 122 15 the the DET ajst-5301 122 16 internal internal ADJ ajst-5301 122 17 consumption consumption NOUN ajst-5301 122 18 of of ADP ajst-5301 122 19 resources resource NOUN ajst-5301 122 20 generated generate VERB ajst-5301 122 21 when when SCONJ ajst-5301 122 22 calculating calculate VERB ajst-5301 122 23 the the DET ajst-5301 122 24 remaining remain VERB ajst-5301 122 25 angle angle NOUN ajst-5301 122 26 , , PUNCT ajst-5301 122 27 and and CCONJ ajst-5301 122 28 improving improve VERB ajst-5301 122 29 the the DET ajst-5301 122 30 overall overall ADJ ajst-5301 122 31 running running NOUN ajst-5301 122 32 speed speed NOUN ajst-5301 122 33 of of ADP ajst-5301 122 34 the the DET ajst-5301 122 35 system system NOUN ajst-5301 122 36 . . PUNCT ajst-5301 123 1 4.2 4.2 NUM ajst-5301 123 2 . . PUNCT ajst-5301 123 3 establishment establishment NOUN ajst-5301 123 4 of of ADP ajst-5301 123 5 small small ADJ ajst-5301 123 6 lookup lookup NOUN ajst-5301 123 7 table table NOUN ajst-5301 123 8 in in ADP ajst-5301 123 9 this this DET ajst-5301 123 10 paper paper NOUN ajst-5301 123 11 , , PUNCT ajst-5301 123 12 13 13 NUM ajst-5301 123 13 - - PUNCT ajst-5301 123 14 bit bit NOUN ajst-5301 123 15 binary binary ADJ ajst-5301 123 16 number number NOUN ajst-5301 123 17 is be AUX ajst-5301 123 18 used use VERB ajst-5301 123 19 0 0 NUM ajst-5301 123 20 , , PUNCT ajst-5301 123 21 𝜋/4 𝜋/4 PUNCT ajst-5301 123 22 the the DET ajst-5301 123 23 input input NOUN ajst-5301 123 24 angle angle NOUN ajst-5301 123 25 in in ADP ajst-5301 123 26 the the PRON ajst-5301 123 27 , , PUNCT ajst-5301 123 28 and and CCONJ ajst-5301 123 29 𝜋/4，2𝜋 𝜋/4，2𝜋 NUM ajst-5301 123 30 the the DET ajst-5301 123 31 sine sine NOUN ajst-5301 123 32 and and CCONJ ajst-5301 123 33 cosine cosine NOUN ajst-5301 123 34 function function NOUN ajst-5301 123 35 values value NOUN ajst-5301 123 36 of of ADP ajst-5301 123 37 the the DET ajst-5301 123 38 internal internal ADJ ajst-5301 123 39 input input NOUN ajst-5301 123 40 angle angle NOUN ajst-5301 123 41 can can AUX ajst-5301 123 42 be be AUX ajst-5301 123 43 obtained obtain VERB ajst-5301 123 44 through through ADP ajst-5301 123 45 the the DET ajst-5301 123 46 transformation transformation NOUN ajst-5301 123 47 of of ADP ajst-5301 123 48 the the DET ajst-5301 123 49 trigonometric trigonometric ADJ ajst-5301 123 50 function function NOUN ajst-5301 123 51 formula formula NOUN ajst-5301 123 52 , , PUNCT ajst-5301 123 53 so so CCONJ ajst-5301 123 54 only only ADJ ajst-5301 123 55 input input NOUN ajst-5301 123 56 is be AUX ajst-5301 123 57 required require VERB ajst-5301 123 58 0 0 NUM ajst-5301 123 59 , , PUNCT ajst-5301 123 60 𝜋/4 𝜋/4 PUNCT ajst-5301 123 61 the the DET ajst-5301 123 62 angle angle NOUN ajst-5301 123 63 value value NOUN ajst-5301 123 64 in in ADP ajst-5301 123 65 is be AUX ajst-5301 123 66 enough enough ADJ ajst-5301 123 67 . . PUNCT ajst-5301 124 1 some some DET ajst-5301 124 2 lookup lookup NOUN ajst-5301 124 3 tables table NOUN ajst-5301 124 4 are be AUX ajst-5301 124 5 shown show VERB ajst-5301 124 6 in in ADP ajst-5301 124 7 table table NOUN ajst-5301 124 8 1 1 NUM ajst-5301 124 9 below below ADV ajst-5301 124 10 . . PUNCT ajst-5301 125 1 36 36 NUM ajst-5301 125 2 table table NOUN ajst-5301 125 3 1 1 NUM ajst-5301 125 4 . . PUNCT ajst-5301 125 5 lookup lookup NOUN ajst-5301 125 6 table table NOUN ajst-5301 125 7 address address NOUN ajst-5301 125 8 binary binary PROPN ajst-5301 125 9 cosine cosine NOUN ajst-5301 125 10 value value NOUN ajst-5301 125 11 binary binary ADJ ajst-5301 125 12 sine sine NOUN ajst-5301 125 13 value value NOUN ajst-5301 125 14 0000 0000 NUM ajst-5301 125 15 010000000000000 010000000000000 NUM ajst-5301 125 16 000000000000000 000000000000000 NUM ajst-5301 125 17 0001 0001 NUM ajst-5301 125 18 001111111110000 001111111110000 NUM ajst-5301 125 19 000001000000000 000001000000000 NUM ajst-5301 125 20 0010 0010 NUM ajst-5301 125 21 001111111000000 001111111000000 NUM ajst-5301 125 22 000001111111101 000001111111101 NUM ajst-5301 125 23 ...... ...... PUNCT ajst-5301 125 24 ...... ...... PUNCT ajst-5301 126 1 ...... ...... PUNCT ajst-5301 127 1 one one NUM ajst-5301 127 2 thousand thousand NUM ajst-5301 127 3 one one NUM ajst-5301 127 4 hundred hundred NUM ajst-5301 127 5 and and CCONJ ajst-5301 127 6 one one NUM ajst-5301 127 7 00101100000010 00101100000010 NUM ajst-5301 127 8 001011100111011 001011100111011 NUM ajst-5301 127 9 5 5 X ajst-5301 127 10 . . PUNCT ajst-5301 127 11 simulation simulation NOUN ajst-5301 127 12 of of ADP ajst-5301 127 13 improved improve VERB ajst-5301 127 14 cordic cordic ADJ ajst-5301 127 15 parallel parallel ADJ ajst-5301 127 16 architecture architecture NOUN ajst-5301 127 17 according accord VERB ajst-5301 127 18 to to ADP ajst-5301 127 19 the the DET ajst-5301 127 20 traditional traditional ADJ ajst-5301 127 21 cordic cordic ADJ ajst-5301 127 22 parallel parallel ADJ ajst-5301 127 23 structure structure NOUN ajst-5301 127 24 , , PUNCT ajst-5301 127 25 the the DET ajst-5301 127 26 traditional traditional ADJ ajst-5301 127 27 cordic cordic ADJ ajst-5301 127 28 pipelined pipelined ADJ ajst-5301 127 29 parallel parallel ADJ ajst-5301 127 30 structure structure NOUN ajst-5301 127 31 and and CCONJ ajst-5301 127 32 the the DET ajst-5301 127 33 improved improve VERB ajst-5301 127 34 cordic cordic ADJ ajst-5301 127 35 pipelined pipelined ADJ ajst-5301 127 36 structure structure NOUN ajst-5301 127 37 proposed propose VERB ajst-5301 127 38 in in ADP ajst-5301 127 39 this this DET ajst-5301 127 40 paper paper NOUN ajst-5301 127 41 , , PUNCT ajst-5301 127 42 the the DET ajst-5301 127 43 verilog verilog PROPN ajst-5301 127 44 digital digital PROPN ajst-5301 127 45 code code PROPN ajst-5301 127 46 is be AUX ajst-5301 127 47 written write VERB ajst-5301 127 48 on on ADP ajst-5301 127 49 quartus quartus PROPN ajst-5301 127 50 , , PUNCT ajst-5301 127 51 and and CCONJ ajst-5301 127 52 the the DET ajst-5301 127 53 simulation simulation NOUN ajst-5301 127 54 is be AUX ajst-5301 127 55 performed perform VERB ajst-5301 127 56 on on ADP ajst-5301 127 57 modelsim modelsim NOUN ajst-5301 127 58 . . PUNCT ajst-5301 128 1 the the DET ajst-5301 128 2 simulation simulation NOUN ajst-5301 128 3 results result NOUN ajst-5301 128 4 are be AUX ajst-5301 128 5 as as SCONJ ajst-5301 128 6 follows follow VERB ajst-5301 128 7 . . PUNCT ajst-5301 129 1 figure figure VERB ajst-5301 129 2 9 9 NUM ajst-5301 129 3 . . PUNCT ajst-5301 130 1 cordic cordic ADJ ajst-5301 130 2 logic logic NOUN ajst-5301 130 3 resource resource NOUN ajst-5301 130 4 consumption consumption NOUN ajst-5301 130 5 of of ADP ajst-5301 130 6 traditional traditional ADJ ajst-5301 130 7 parallel parallel ADJ ajst-5301 130 8 architecture architecture NOUN ajst-5301 130 9 figure figure NOUN ajst-5301 130 10 10 10 NUM ajst-5301 130 11 . . PUNCT ajst-5301 131 1 cordic cordic ADJ ajst-5301 131 2 logic logic NOUN ajst-5301 131 3 resource resource NOUN ajst-5301 131 4 consumption consumption NOUN ajst-5301 131 5 of of ADP ajst-5301 131 6 traditional traditional ADJ ajst-5301 131 7 parallel parallel ADJ ajst-5301 131 8 pipeline pipeline NOUN ajst-5301 131 9 structure structure NOUN ajst-5301 131 10 figure figure NOUN ajst-5301 131 11 11 11 NUM ajst-5301 131 12 . . PUNCT ajst-5301 132 1 improved improve VERB ajst-5301 132 2 parallel parallel ADJ ajst-5301 132 3 pipeline pipeline NOUN ajst-5301 132 4 cordic cordic ADJ ajst-5301 132 5 logic logic NOUN ajst-5301 132 6 resource resource NOUN ajst-5301 132 7 consumption consumption NOUN ajst-5301 132 8 figure figure NOUN ajst-5301 132 9 12 12 NUM ajst-5301 132 10 . . PUNCT ajst-5301 133 1 maximum maximum ADJ ajst-5301 133 2 clock clock NOUN ajst-5301 133 3 speed speed NOUN ajst-5301 133 4 of of ADP ajst-5301 133 5 traditional traditional ADJ ajst-5301 133 6 parallel parallel ADJ ajst-5301 133 7 architecture architecture NOUN ajst-5301 133 8 figure figure NOUN ajst-5301 133 9 13 13 NUM ajst-5301 133 10 . . PUNCT ajst-5301 134 1 maximum maximum ADJ ajst-5301 134 2 clock clock NOUN ajst-5301 134 3 speed speed NOUN ajst-5301 134 4 of of ADP ajst-5301 134 5 traditional traditional ADJ ajst-5301 134 6 parallel parallel ADJ ajst-5301 134 7 pipeline pipeline NOUN ajst-5301 134 8 structure structure NOUN ajst-5301 134 9 figure figure NOUN ajst-5301 134 10 14 14 NUM ajst-5301 134 11 . . PUNCT ajst-5301 135 1 maximum maximum ADJ ajst-5301 135 2 clock clock NOUN ajst-5301 135 3 speed speed NOUN ajst-5301 135 4 of of ADP ajst-5301 135 5 improved improved ADJ ajst-5301 135 6 parallel parallel ADJ ajst-5301 135 7 pipelining pipeline VERB ajst-5301 135 8 structure structure NOUN ajst-5301 135 9 figure figure NOUN ajst-5301 135 10 9 9 NUM ajst-5301 135 11 , , PUNCT ajst-5301 135 12 figure figure VERB ajst-5301 135 13 10 10 NUM ajst-5301 135 14 and and CCONJ ajst-5301 135 15 figure figure VERB ajst-5301 135 16 11 11 NUM ajst-5301 135 17 show show NOUN ajst-5301 135 18 that that SCONJ ajst-5301 135 19 the the DET ajst-5301 135 20 traditional traditional ADJ ajst-5301 135 21 parallel parallel ADJ ajst-5301 135 22 pipeline pipeline NOUN ajst-5301 135 23 architecture architecture NOUN ajst-5301 135 24 uses use VERB ajst-5301 135 25 more more ADJ ajst-5301 135 26 registers register NOUN ajst-5301 135 27 than than ADP ajst-5301 135 28 the the DET ajst-5301 135 29 traditional traditional ADJ ajst-5301 135 30 parallel parallel ADJ ajst-5301 135 31 architecture architecture NOUN ajst-5301 135 32 ( ( PUNCT ajst-5301 135 33 pipeline pipeline NOUN ajst-5301 135 34 architecture architecture NOUN ajst-5301 135 35 2263 2263 NUM ajst-5301 135 36 , , PUNCT ajst-5301 135 37 non non ADJ ajst-5301 135 38 - - ADJ ajst-5301 135 39 pipeline pipeline ADJ ajst-5301 135 40 architecture architecture NOUN ajst-5301 135 41 1346 1346 NUM ajst-5301 135 42 ) ) PUNCT ajst-5301 135 43 , , PUNCT ajst-5301 135 44 while while SCONJ ajst-5301 135 45 the the DET ajst-5301 135 46 improved improved ADJ ajst-5301 135 47 parallel parallel ADJ ajst-5301 135 48 pipeline pipeline NOUN ajst-5301 135 49 cordic cordic ADJ ajst-5301 135 50 architecture architecture NOUN ajst-5301 135 51 proposed propose VERB ajst-5301 135 52 in in ADP ajst-5301 135 53 this this DET ajst-5301 135 54 paper paper NOUN ajst-5301 135 55 uses use VERB ajst-5301 135 56 504 504 NUM ajst-5301 135 57 registers register NOUN ajst-5301 135 58 , , PUNCT ajst-5301 135 59 which which PRON ajst-5301 135 60 significantly significantly ADV ajst-5301 135 61 reduces reduce VERB ajst-5301 135 62 the the DET ajst-5301 135 63 built build VERB ajst-5301 135 64 - - PUNCT ajst-5301 135 65 in in ADP ajst-5301 135 66 resource resource NOUN ajst-5301 135 67 consumption consumption NOUN ajst-5301 135 68 compared compare VERB ajst-5301 135 69 with with ADP ajst-5301 135 70 the the DET ajst-5301 135 71 previous previous ADJ ajst-5301 135 72 two two NUM ajst-5301 135 73 traditional traditional ADJ ajst-5301 135 74 cordic cordic ADJ ajst-5301 135 75 architectures architecture NOUN ajst-5301 135 76 . . PUNCT ajst-5301 136 1 figure figure NOUN ajst-5301 136 2 12 12 NUM ajst-5301 136 3 , , PUNCT ajst-5301 136 4 figure figure VERB ajst-5301 136 5 13 13 NUM ajst-5301 136 6 and and CCONJ ajst-5301 136 7 figure figure VERB ajst-5301 136 8 14 14 NUM ajst-5301 136 9 measure measure NOUN ajst-5301 136 10 the the DET ajst-5301 136 11 clock clock NOUN ajst-5301 136 12 speed speed NOUN ajst-5301 136 13 of of ADP ajst-5301 136 14 the the DET ajst-5301 136 15 system system NOUN ajst-5301 136 16 . . PUNCT ajst-5301 137 1 the the DET ajst-5301 137 2 results result NOUN ajst-5301 137 3 show show VERB ajst-5301 137 4 that that SCONJ ajst-5301 137 5 the the DET ajst-5301 137 6 running run VERB ajst-5301 137 7 speed speed NOUN ajst-5301 137 8 of of ADP ajst-5301 137 9 the the DET ajst-5301 137 10 traditional traditional ADJ ajst-5301 137 11 parallel parallel ADJ ajst-5301 137 12 structure structure NOUN ajst-5301 137 13 cordic cordic ADJ ajst-5301 137 14 algorithm algorithm NOUN ajst-5301 137 15 is be AUX ajst-5301 137 16 217.77 217.77 NUM ajst-5301 137 17 mhz mhz NOUN ajst-5301 137 18 , , PUNCT ajst-5301 137 19 and and CCONJ ajst-5301 137 20 the the DET ajst-5301 137 21 running run VERB ajst-5301 137 22 speed speed NOUN ajst-5301 137 23 of of ADP ajst-5301 137 24 the the DET ajst-5301 137 25 traditional traditional ADJ ajst-5301 137 26 parallel parallel ADJ ajst-5301 137 27 pipeline pipeline NOUN ajst-5301 137 28 structure structure NOUN ajst-5301 137 29 is be AUX ajst-5301 137 30 303.12 303.12 NUM ajst-5301 137 31 mhz mhz NOUN ajst-5301 137 32 , , PUNCT ajst-5301 137 33 while while SCONJ ajst-5301 137 34 the the DET ajst-5301 137 35 running run VERB ajst-5301 137 36 speed speed NOUN ajst-5301 137 37 of of ADP ajst-5301 137 38 the the DET ajst-5301 137 39 improved improve VERB ajst-5301 137 40 parallel parallel ADJ ajst-5301 137 41 pipeline pipeline NOUN ajst-5301 137 42 structure structure NOUN ajst-5301 137 43 algorithm algorithm NOUN ajst-5301 137 44 proposed propose VERB ajst-5301 137 45 in in ADP ajst-5301 137 46 this this DET ajst-5301 137 47 paper paper NOUN ajst-5301 137 48 is be AUX ajst-5301 137 49 291.04 291.04 NUM ajst-5301 137 50 mhz mhz NOUN ajst-5301 137 51 . . PUNCT ajst-5301 138 1 overall overall ADJ ajst-5301 138 2 , , PUNCT ajst-5301 138 3 the the DET ajst-5301 138 4 traditional traditional ADJ ajst-5301 138 5 pipeline pipeline NOUN ajst-5301 138 6 structure structure NOUN ajst-5301 138 7 can can AUX ajst-5301 138 8 greatly greatly ADV ajst-5301 138 9 improve improve VERB ajst-5301 138 10 the the DET ajst-5301 138 11 system system NOUN ajst-5301 138 12 running run VERB ajst-5301 138 13 speed speed NOUN ajst-5301 138 14 , , PUNCT ajst-5301 138 15 but but CCONJ ajst-5301 138 16 the the DET ajst-5301 138 17 use use NOUN ajst-5301 138 18 of of ADP ajst-5301 138 19 more more ADJ ajst-5301 138 20 registers register NOUN ajst-5301 138 21 leads lead VERB ajst-5301 138 22 to to ADP ajst-5301 138 23 increased increase VERB ajst-5301 138 24 resource resource NOUN ajst-5301 138 25 consumption consumption NOUN ajst-5301 138 26 , , PUNCT ajst-5301 138 27 which which PRON ajst-5301 138 28 affects affect VERB ajst-5301 138 29 the the DET ajst-5301 138 30 overall overall ADJ ajst-5301 138 31 performance performance NOUN ajst-5301 138 32 . . PUNCT ajst-5301 139 1 the the DET ajst-5301 139 2 improved improve VERB ajst-5301 139 3 pipeline pipeline NOUN ajst-5301 139 4 structure structure NOUN ajst-5301 139 5 proposed propose VERB ajst-5301 139 6 in in ADP ajst-5301 139 7 this this DET ajst-5301 139 8 paper paper NOUN ajst-5301 139 9 uses use VERB ajst-5301 139 10 the the DET ajst-5301 139 11 least least ADJ ajst-5301 139 12 registers register NOUN ajst-5301 139 13 , , PUNCT ajst-5301 139 14 37 37 NUM ajst-5301 139 15 reduces reduce VERB ajst-5301 139 16 the the DET ajst-5301 139 17 internal internal ADJ ajst-5301 139 18 resource resource NOUN ajst-5301 139 19 consumption consumption NOUN ajst-5301 139 20 , , PUNCT ajst-5301 139 21 and and CCONJ ajst-5301 139 22 the the DET ajst-5301 139 23 overall overall ADJ ajst-5301 139 24 speed speed NOUN ajst-5301 139 25 is be AUX ajst-5301 139 26 only only ADV ajst-5301 139 27 less less ADJ ajst-5301 139 28 than than ADP ajst-5301 139 29 3.9 3.9 NUM ajst-5301 139 30 % % NOUN ajst-5301 139 31 lower low ADJ ajst-5301 139 32 than than ADP ajst-5301 139 33 the the DET ajst-5301 139 34 traditional traditional ADJ ajst-5301 139 35 parallel parallel ADJ ajst-5301 139 36 pipeline pipeline NOUN ajst-5301 139 37 , , PUNCT ajst-5301 139 38 and and CCONJ ajst-5301 139 39 also also ADV ajst-5301 139 40 ensures ensure VERB ajst-5301 139 41 the the DET ajst-5301 139 42 high high ADJ ajst-5301 139 43 speed speed NOUN ajst-5301 139 44 of of ADP ajst-5301 139 45 the the DET ajst-5301 139 46 system system NOUN ajst-5301 139 47 . . PUNCT ajst-5301 140 1 the the DET ajst-5301 140 2 following follow VERB ajst-5301 140 3 figure figure NOUN ajst-5301 140 4 shows show VERB ajst-5301 140 5 the the DET ajst-5301 140 6 simulation simulation NOUN ajst-5301 140 7 results result NOUN ajst-5301 140 8 using use VERB ajst-5301 140 9 modelsim modelsim PROPN ajst-5301 140 10 . . PUNCT ajst-5301 141 1 figure figure NOUN ajst-5301 141 2 15 15 NUM ajst-5301 141 3 . . PUNCT ajst-5301 142 1 modelsim modelsim PROPN ajst-5301 142 2 simulation simulation NOUN ajst-5301 142 3 results result VERB ajst-5301 142 4 6 6 NUM ajst-5301 142 5 . . PUNCT ajst-5301 142 6 conclusion conclusion NOUN ajst-5301 142 7 in in ADP ajst-5301 142 8 view view NOUN ajst-5301 142 9 of of ADP ajst-5301 142 10 the the DET ajst-5301 142 11 problems problem NOUN ajst-5301 142 12 of of ADP ajst-5301 142 13 the the DET ajst-5301 142 14 slow slow ADJ ajst-5301 142 15 operation operation NOUN ajst-5301 142 16 speed speed NOUN ajst-5301 142 17 of of ADP ajst-5301 142 18 the the DET ajst-5301 142 19 traditional traditional ADJ ajst-5301 142 20 serial serial ADJ ajst-5301 142 21 cordic cordic ADJ ajst-5301 142 22 algorithm algorithm NOUN ajst-5301 142 23 and and CCONJ ajst-5301 142 24 the the DET ajst-5301 142 25 large large ADJ ajst-5301 142 26 resource resource NOUN ajst-5301 142 27 consumption consumption NOUN ajst-5301 142 28 of of ADP ajst-5301 142 29 the the DET ajst-5301 142 30 traditional traditional ADJ ajst-5301 142 31 parallel parallel ADJ ajst-5301 142 32 cordic cordic ADJ ajst-5301 142 33 algorithm algorithm NOUN ajst-5301 142 34 , , PUNCT ajst-5301 142 35 this this DET ajst-5301 142 36 paper paper NOUN ajst-5301 142 37 proposes propose VERB ajst-5301 142 38 an an DET ajst-5301 142 39 improved improved ADJ ajst-5301 142 40 cordic cordic ADJ ajst-5301 142 41 parallel parallel ADJ ajst-5301 142 42 structure structure NOUN ajst-5301 142 43 based base VERB ajst-5301 142 44 on on ADP ajst-5301 142 45 the the DET ajst-5301 142 46 traditional traditional ADJ ajst-5301 142 47 serial serial ADJ ajst-5301 142 48 cordic cordic NOUN ajst-5301 142 49 and and CCONJ ajst-5301 142 50 the the DET ajst-5301 142 51 traditional traditional ADJ ajst-5301 142 52 parallel parallel ADJ ajst-5301 142 53 pipelined pipeline VERB ajst-5301 142 54 cordic cordic NOUN ajst-5301 142 55 , , PUNCT ajst-5301 142 56 which which PRON ajst-5301 142 57 is be AUX ajst-5301 142 58 composed compose VERB ajst-5301 142 59 of of ADP ajst-5301 142 60 a a DET ajst-5301 142 61 12 12 NUM ajst-5301 142 62 - - PUNCT ajst-5301 142 63 stage stage NOUN ajst-5301 142 64 pipeline pipeline NOUN ajst-5301 142 65 and and CCONJ ajst-5301 142 66 a a DET ajst-5301 142 67 small small ADJ ajst-5301 142 68 - - PUNCT ajst-5301 142 69 capacity capacity NOUN ajst-5301 142 70 sine sine NOUN ajst-5301 142 71 and and CCONJ ajst-5301 142 72 cosine cosine NOUN ajst-5301 142 73 lookup lookup NOUN ajst-5301 142 74 table table NOUN ajst-5301 142 75 . . PUNCT ajst-5301 143 1 finally finally ADV ajst-5301 143 2 , , PUNCT ajst-5301 143 3 the the DET ajst-5301 143 4 parallel parallel ADJ ajst-5301 143 5 architecture architecture NOUN ajst-5301 143 6 , , PUNCT ajst-5301 143 7 parallel parallel ADJ ajst-5301 143 8 pipeline pipeline NOUN ajst-5301 143 9 architecture architecture NOUN ajst-5301 143 10 and and CCONJ ajst-5301 143 11 improved improve VERB ajst-5301 143 12 cordic cordic ADJ ajst-5301 143 13 architecture architecture NOUN ajst-5301 143 14 are be AUX ajst-5301 143 15 successfully successfully ADV ajst-5301 143 16 implemented implement VERB ajst-5301 143 17 on on ADP ajst-5301 143 18 quartus quartus PROPN ajst-5301 143 19 , , PUNCT ajst-5301 143 20 and and CCONJ ajst-5301 143 21 the the DET ajst-5301 143 22 resource resource NOUN ajst-5301 143 23 consumption consumption NOUN ajst-5301 143 24 and and CCONJ ajst-5301 143 25 running run VERB ajst-5301 143 26 speed speed NOUN ajst-5301 143 27 of of ADP ajst-5301 143 28 the the DET ajst-5301 143 29 three three NUM ajst-5301 143 30 are be AUX ajst-5301 143 31 compared compare VERB ajst-5301 143 32 . . PUNCT ajst-5301 144 1 the the DET ajst-5301 144 2 comprehensive comprehensive ADJ ajst-5301 144 3 conclusion conclusion NOUN ajst-5301 144 4 is be AUX ajst-5301 144 5 that that SCONJ ajst-5301 144 6 the the DET ajst-5301 144 7 structure structure NOUN ajst-5301 144 8 proposed propose VERB ajst-5301 144 9 in in ADP ajst-5301 144 10 this this DET ajst-5301 144 11 paper paper NOUN ajst-5301 144 12 not not PART ajst-5301 144 13 only only ADV ajst-5301 144 14 reduces reduce VERB ajst-5301 144 15 the the DET ajst-5301 144 16 resource resource NOUN ajst-5301 144 17 consumption consumption NOUN ajst-5301 144 18 , , PUNCT ajst-5301 144 19 but but CCONJ ajst-5301 144 20 also also ADV ajst-5301 144 21 improves improve VERB ajst-5301 144 22 the the DET ajst-5301 144 23 running running NOUN ajst-5301 144 24 speed speed NOUN ajst-5301 144 25 . . PUNCT ajst-5301 145 1 finally finally ADV ajst-5301 145 2 , , PUNCT ajst-5301 145 3 the the DET ajst-5301 145 4 required require VERB ajst-5301 145 5 sine sine ADJ ajst-5301 145 6 wave wave NOUN ajst-5301 145 7 is be AUX ajst-5301 145 8 obtained obtain VERB ajst-5301 145 9 on on ADP ajst-5301 145 10 modelsim modelsim PROPN ajst-5301 145 11 . . PUNCT ajst-5301 146 1 references reference NOUN ajst-5301 146 2 [ [ X ajst-5301 146 3 1 1 NUM ajst-5301 146 4 ] ] PUNCT ajst-5301 146 5 wang wang PROPN ajst-5301 146 6 zixuan zixuan PROPN ajst-5301 146 7 , , PUNCT ajst-5301 146 8 wang wang PROPN ajst-5301 146 9 xin xin PROPN ajst-5301 146 10 , , PUNCT ajst-5301 146 11 cai cai PROPN ajst-5301 146 12 zhikuang zhikuang PROPN ajst-5301 146 13 , , PUNCT ajst-5301 146 14 etc etc X ajst-5301 146 15 a a DET ajst-5301 146 16 low low ADJ ajst-5301 146 17 - - PUNCT ajst-5301 146 18 voltage voltage NOUN ajst-5301 146 19 digital digital PROPN ajst-5301 146 20 controlled control VERB ajst-5301 146 21 oscillator oscillator NOUN ajst-5301 146 22 based base VERB ajst-5301 146 23 on on ADP ajst-5301 146 24 multistage multistage NOUN ajst-5301 146 25 capacitor capacitor NOUN ajst-5301 146 26 attenuation attenuation NOUN ajst-5301 146 27 technology technology NOUN ajst-5301 147 1 [ [ X ajst-5301 147 2 j j X ajst-5301 147 3 ] ] X ajst-5301 147 4 research research NOUN ajst-5301 147 5 and and CCONJ ajst-5301 147 6 progress progress NOUN ajst-5301 147 7 in in ADP ajst-5301 147 8 solid solid ADJ ajst-5301 147 9 state state NOUN ajst-5301 147 10 electronics electronic NOUN ajst-5301 147 11 , , PUNCT ajst-5301 147 12 2019 2019 NUM ajst-5301 147 13 , , PUNCT ajst-5301 147 14 39 39 NUM ajst-5301 147 15 ( ( PUNCT ajst-5301 147 16 5 5 NUM ajst-5301 147 17 ): ): PUNCT ajst-5301 147 18 7 7 NUM ajst-5301 147 19 . . PUNCT ajst-5301 148 1 [ [ X ajst-5301 148 2 2 2 NUM ajst-5301 148 3 ] ] X ajst-5301 148 4 tang tang NOUN ajst-5301 148 5 wenming wenming NOUN ajst-5301 148 6 , , PUNCT ajst-5301 148 7 liu liu PROPN ajst-5301 148 8 guixiong guixiong PROPN ajst-5301 148 9 fpga fpga PROPN ajst-5301 148 10 fixed fix VERB ajst-5301 148 11 - - PUNCT ajst-5301 148 12 point point NOUN ajst-5301 148 13 technology technology NOUN ajst-5301 148 14 of of ADP ajst-5301 148 15 exponential exponential ADJ ajst-5301 148 16 function function NOUN ajst-5301 148 17 cordic cordic ADJ ajst-5301 148 18 algorithm algorithm NOUN ajst-5301 148 19 [ [ X ajst-5301 148 20 j j X ajst-5301 148 21 ] ] X ajst-5301 148 22 journal journal NOUN ajst-5301 148 23 of of ADP ajst-5301 148 24 south south PROPN ajst-5301 148 25 china china PROPN ajst-5301 148 26 university university PROPN ajst-5301 148 27 of of ADP ajst-5301 148 28 technology technology NOUN ajst-5301 148 29 : : PUNCT ajst-5301 148 30 natural natural ADJ ajst-5301 148 31 science science NOUN ajst-5301 148 32 edition edition NOUN ajst-5301 148 33 , , PUNCT ajst-5301 148 34 2016 2016 NUM ajst-5301 148 35 , , PUNCT ajst-5301 148 36 44 44 NUM ajst-5301 148 37 ( ( PUNCT ajst-5301 148 38 7 7 NUM ajst-5301 148 39 ): ): PUNCT ajst-5301 148 40 6 6 NUM ajst-5301 148 41 . . PUNCT ajst-5301 149 1 [ [ X ajst-5301 149 2 3 3 X ajst-5301 149 3 ] ] X ajst-5301 149 4 jack jack PROPN ajst-5301 149 5 e. e. PROPN ajst-5301 149 6 volder volder PROPN ajst-5301 149 7 . . PUNCT ajst-5301 150 1 the the DET ajst-5301 150 2 cordic cordic ADJ ajst-5301 150 3 trigonometric trigonometric NOUN ajst-5301 150 4 computing compute VERB ajst-5301 150 5 technique[j technique[j PROPN ajst-5301 150 6 ] ] PUNCT ajst-5301 150 7 . . PUNCT ajst-5301 151 1 ire ire ADJ ajst-5301 151 2 transactions transaction NOUN ajst-5301 151 3 on on ADP ajst-5301 151 4 electronic electronic ADJ ajst-5301 151 5 computers computer NOUN ajst-5301 151 6 , , PUNCT ajst-5301 151 7 1959 1959 NUM ajst-5301 151 8 , , PUNCT ajst-5301 151 9 ec-8(3 ec-8(3 ADJ ajst-5301 151 10 ): ): PUNCT ajst-5301 151 11 330 330 NUM ajst-5301 151 12 - - SYM ajst-5301 151 13 334 334 NUM ajst-5301 151 14 . . PUNCT ajst-5301 152 1 [ [ X ajst-5301 152 2 4 4 NUM ajst-5301 152 3 ] ] X ajst-5301 152 4 yong yong PROPN ajst-5301 152 5 - - PUNCT ajst-5301 152 6 sen sen PROPN ajst-5301 152 7 wang wang PROPN ajst-5301 152 8 , , PUNCT ajst-5301 152 9 yu yu PROPN ajst-5301 152 10 - - PROPN ajst-5301 152 11 qun qun PROPN ajst-5301 152 12 xue xue PROPN ajst-5301 152 13 , , PUNCT ajst-5301 152 14 heng heng PROPN ajst-5301 152 15 you you PRON ajst-5301 152 16 , , PUNCT ajst-5301 152 17 shu shu PROPN ajst-5301 152 18 - - PUNCT ajst-5301 152 19 shan shan PROPN ajst-5301 152 20 qiao qiao PROPN ajst-5301 152 21 . . PUNCT ajst-5301 152 22 area area NOUN ajst-5301 152 23 - - PUNCT ajst-5301 152 24 energy energy NOUN ajst-5301 152 25 efficient efficient ADJ ajst-5301 152 26 cordics cordic NOUN ajst-5301 152 27 using use VERB ajst-5301 152 28 new new ADJ ajst-5301 152 29 elementary elementary ADJ ajst-5301 152 30 - - PUNCT ajst-5301 152 31 angleset angleset VERB ajst-5301 152 32 and and CCONJ ajst-5301 152 33 base-2 base-2 NUM ajst-5301 152 34 exponent exponent NOUN ajst-5301 152 35 expansions expansion NOUN ajst-5301 152 36 scheme scheme NOUN ajst-5301 152 37 : : PUNCT ajst-5301 152 38 letter[j letter[j NOUN ajst-5301 152 39 ] ] PUNCT ajst-5301 152 40 . . PUNCT ajst-5301 153 1 ieice ieice NOUN ajst-5301 153 2 electronics electronic NOUN ajst-5301 153 3 express,2021,18(2 express,2021,18(2 NOUN ajst-5301 153 4 ) ) PUNCT ajst-5301 153 5 . . PUNCT ajst-5301 154 1 [ [ X ajst-5301 154 2 5 5 NUM ajst-5301 154 3 ] ] PUNCT ajst-5301 154 4 supriya supriya PROPN ajst-5301 154 5 aggarwal aggarwal PROPN ajst-5301 154 6 , , PUNCT ajst-5301 154 7 pramod pramod PROPN ajst-5301 154 8 kumar kumar PROPN ajst-5301 154 9 meher meher PROPN ajst-5301 154 10 , , PUNCT ajst-5301 154 11 kavita kavita PROPN ajst-5301 154 12 khare khare PROPN ajst-5301 154 13 . . PUNCT ajst-5301 155 1 concept concept PROPN ajst-5301 155 2 , , PUNCT ajst-5301 155 3 design design NOUN ajst-5301 155 4 , , PUNCT ajst-5301 155 5 and and CCONJ ajst-5301 155 6 implementation implementation NOUN ajst-5301 155 7 of of ADP ajst-5301 155 8 reconfigurable reconfigurable ADJ ajst-5301 155 9 cordic[j cordic[j NOUN ajst-5301 155 10 ] ] PUNCT ajst-5301 155 11 . . PUNCT ajst-5301 156 1 ieee ieee PROPN ajst-5301 156 2 trans trans PROPN ajst-5301 156 3 . . PUNCT ajst-5301 157 1 vlsi vlsi PROPN ajst-5301 157 2 syst syst PROPN ajst-5301 157 3 , , PUNCT ajst-5301 157 4 2016 2016 NUM ajst-5301 157 5 , , PUNCT ajst-5301 157 6 24(4 24(4 NUM ajst-5301 157 7 ) ) PUNCT ajst-5301 157 8 . . PUNCT ajst-5301 158 1 [ [ X ajst-5301 158 2 6 6 NUM ajst-5301 158 3 ] ] PUNCT ajst-5301 158 4 mahdavi mahdavi PROPN ajst-5301 158 5 hossein hossein PROPN ajst-5301 158 6 , , PUNCT ajst-5301 158 7 timarchi timarchi PROPN ajst-5301 158 8 s. s. PROPN ajst-5301 158 9 improving improve VERB ajst-5301 158 10 architectures architecture NOUN ajst-5301 158 11 of of ADP ajst-5301 158 12 binary binary ADJ ajst-5301 158 13 signed sign VERB ajst-5301 158 14 - - PUNCT ajst-5301 158 15 digit digit NOUN ajst-5301 158 16 cordic cordic NOUN ajst-5301 158 17 with with ADP ajst-5301 158 18 generic generic ADJ ajst-5301 158 19 / / SYM ajst-5301 158 20 specific specific ADJ ajst-5301 158 21 initial initial ADJ ajst-5301 158 22 angles[j angles[j PROPN ajst-5301 158 23 ] ] PUNCT ajst-5301 158 24 . . PUNCT ajst-5301 159 1 ieee ieee NOUN ajst-5301 159 2 transactions transaction NOUN ajst-5301 159 3 on on ADP ajst-5301 159 4 circuits circuit NOUN ajst-5301 159 5 and and CCONJ ajst-5301 159 6 systems system NOUN ajst-5301 159 7 i i PRON ajst-5301 159 8 : : PUNCT ajst-5301 159 9 regular regular ADJ ajst-5301 159 10 papers,2020,67(7 papers,2020,67(7 NOUN ajst-5301 159 11 ) ) PUNCT ajst-5301 159 12 . . PUNCT ajst-5301 160 1 [ [ X ajst-5301 160 2 7 7 NUM ajst-5301 160 3 ] ] PUNCT ajst-5301 160 4 mahdavi mahdavi NOUN ajst-5301 160 5 h h PROPN ajst-5301 160 6 , , PUNCT ajst-5301 160 7 timarchi timarchi PROPN ajst-5301 160 8 s. s. PROPN ajst-5301 160 9 area area PROPN ajst-5301 160 10 – – PUNCT ajst-5301 160 11 time time NOUN ajst-5301 160 12 – – PUNCT ajst-5301 160 13 power power NOUN ajst-5301 160 14 efficient efficient ADJ ajst-5301 160 15 fft fft PROPN ajst-5301 160 16 architectures architecture NOUN ajst-5301 160 17 based base VERB ajst-5301 160 18 on on ADP ajst-5301 160 19 binary binary ADJ ajst-5301 160 20 - - PUNCT ajst-5301 160 21 signed sign VERB ajst-5301 160 22 - - PUNCT ajst-5301 160 23 digit digit NOUN ajst-5301 160 24 cordic[j cordic[j NOUN ajst-5301 160 25 ] ] PUNCT ajst-5301 160 26 . . PUNCT ajst-5301 161 1 circuits circuit NOUN ajst-5301 161 2 and and CCONJ ajst-5301 161 3 systems system NOUN ajst-5301 161 4 i i PRON ajst-5301 161 5 : : PUNCT ajst-5301 161 6 regular regular ADJ ajst-5301 161 7 papers paper NOUN ajst-5301 161 8 , , PUNCT ajst-5301 161 9 ieee ieee NOUN ajst-5301 161 10 transactions transaction NOUN ajst-5301 161 11 on on ADP ajst-5301 161 12 , , PUNCT ajst-5301 161 13 2019 2019 NUM ajst-5301 161 14 , , PUNCT ajst-5301 161 15 66(10 66(10 NUM ajst-5301 161 16 ): ): PUNCT ajst-5301 161 17 3874 3874 NUM ajst-5301 161 18 - - SYM ajst-5301 161 19 3881 3881 NUM ajst-5301 161 20 . . PUNCT ajst-5301 162 1 [ [ X ajst-5301 162 2 8 8 NUM ajst-5301 162 3 ] ] SYM ajst-5301 162 4 maharatna maharatna PROPN ajst-5301 162 5 k k PROPN ajst-5301 162 6 , , PUNCT ajst-5301 162 7 banerjee banerjee PROPN ajst-5301 162 8 s s PART ajst-5301 162 9 , , PUNCT ajst-5301 162 10 grass grass NOUN ajst-5301 162 11 e e NOUN ajst-5301 162 12 , , PUNCT ajst-5301 162 13 et et PROPN ajst-5301 162 14 al al PROPN ajst-5301 162 15 . . PROPN ajst-5301 162 16 modified modify VERB ajst-5301 162 17 virtually virtually ADV ajst-5301 162 18 scaling scaling ADJ ajst-5301 162 19 - - PUNCT ajst-5301 162 20 free free ADJ ajst-5301 162 21 adaptive adaptive ADJ ajst-5301 162 22 cordic cordic ADJ ajst-5301 162 23 rotator rotator NOUN ajst-5301 162 24 algorithm algorithm NOUN ajst-5301 162 25 and and CCONJ ajst-5301 162 26 architecture[j architecture[j NOUN ajst-5301 162 27 ] ] PUNCT ajst-5301 162 28 . . PUNCT ajst-5301 163 1 ieee ieee NOUN ajst-5301 163 2 transactions transaction NOUN ajst-5301 163 3 on on ADP ajst-5301 163 4 circuits circuit NOUN ajst-5301 163 5 & & CCONJ ajst-5301 163 6 systems system NOUN ajst-5301 163 7 for for ADP ajst-5301 163 8 video video NOUN ajst-5301 163 9 technology technology NOUN ajst-5301 163 10 , , PUNCT ajst-5301 163 11 2005 2005 NUM ajst-5301 163 12 , , PUNCT ajst-5301 163 13 15(11 15(11 NUM ajst-5301 163 14 ): ): PUNCT ajst-5301 163 15 1463 1463 NUM ajst-5301 163 16 - - SYM ajst-5301 163 17 1474 1474 NUM ajst-5301 163 18 . . PUNCT ajst-5301 164 1 [ [ X ajst-5301 164 2 9 9 NUM ajst-5301 164 3 ] ] X ajst-5301 164 4 huang huang PROPN ajst-5301 164 5 jun jun PROPN ajst-5301 164 6 cordic cordic PROPN ajst-5301 164 7 pipeline pipeline NOUN ajst-5301 164 8 design design NOUN ajst-5301 164 9 of of ADP ajst-5301 164 10 sine sine NOUN ajst-5301 164 11 and and CCONJ ajst-5301 164 12 cosine cosine NOUN ajst-5301 164 13 wave wave NOUN ajst-5301 164 14 generator generator NOUN ajst-5301 164 15 based base VERB ajst-5301 164 16 on on ADP ajst-5301 164 17 fpga fpga PROPN ajst-5301 164 18 [ [ X ajst-5301 164 19 j j X ajst-5301 164 20 ] ] X ajst-5301 164 21 mechanical mechanical ADJ ajst-5301 164 22 engineering engineering NOUN ajst-5301 164 23 and and CCONJ ajst-5301 164 24 automation automation NOUN ajst-5301 164 25 , , PUNCT ajst-5301 164 26 2013 2013 NUM ajst-5301 164 27 , , PUNCT ajst-5301 164 28 ( ( PUNCT ajst-5301 164 29 05 05 NUM ajst-5301 164 30 ): ): PUNCT ajst-5301 164 31 17 17 NUM ajst-5301 164 32 - - SYM ajst-5301 164 33 19 19 NUM ajst-5301 164 34 . . PUNCT ajst-5301 165 1 [ [ X ajst-5301 165 2 10 10 NUM ajst-5301 165 3 ] ] X ajst-5301 165 4 qi qi PROPN ajst-5301 165 5 yanjie yanjie PROPN ajst-5301 165 6 , , PUNCT ajst-5301 165 7 liu liu PROPN ajst-5301 165 8 zhangfa zhangfa PROPN ajst-5301 165 9 fpga fpga PROPN ajst-5301 165 10 implementation implementation NOUN ajst-5301 165 11 of of ADP ajst-5301 165 12 high high ADJ ajst-5301 165 13 precision precision NOUN ajst-5301 165 14 and and CCONJ ajst-5301 165 15 high high ADJ ajst-5301 165 16 speed speed NOUN ajst-5301 165 17 direct direct ADJ ajst-5301 165 18 digital digital ADJ ajst-5301 165 19 frequency frequency NOUN ajst-5301 165 20 synthesizer synthesizer NOUN ajst-5301 165 21 based base VERB ajst-5301 165 22 on on ADP ajst-5301 165 23 parallel parallel NOUN ajst-5301 165 24 - - PUNCT ajst-5301 165 25 cordic cordic NOUN ajst-5301 165 26 [ [ X ajst-5301 165 27 j j X ajst-5301 165 28 ] ] X ajst-5301 165 29 journal journal NOUN ajst-5301 165 30 of of ADP ajst-5301 165 31 electronics electronic NOUN ajst-5301 165 32 , , PUNCT ajst-5301 165 33 2014 2014 NUM ajst-5301 165 34 , , PUNCT ajst-5301 165 35 42 42 NUM ajst-5301 165 36 ( ( PUNCT ajst-5301 165 37 7 7 NUM ajst-5301 165 38 ): ): PUNCT ajst-5301 165 39 1392 1392 NUM ajst-5301 165 40 - - SYM ajst-5301 165 41 1397 1397 NUM ajst-5301 165 42 . . PUNCT ajst-5301 166 1 [ [ X ajst-5301 166 2 11 11 NUM ajst-5301 166 3 ] ] PUNCT ajst-5301 166 4 xu xu PROPN ajst-5301 166 5 cheng cheng PROPN ajst-5301 166 6 , , PUNCT ajst-5301 166 7 qin qin PROPN ajst-5301 166 8 yunchuan yunchuan PROPN ajst-5301 166 9 , , PUNCT ajst-5301 166 10 li li PROPN ajst-5301 166 11 kenli kenli PROPN ajst-5301 166 12 , , PUNCT ajst-5301 166 13 et et PROPN ajst-5301 166 14 al al PROPN ajst-5301 166 15 the the DET ajst-5301 166 16 two two NUM ajst-5301 166 17 - - PUNCT ajst-5301 166 18 step step NOUN ajst-5301 166 19 rotation rotation NOUN ajst-5301 166 20 cordic cordic ADJ ajst-5301 166 21 algorithm algorithm NOUN ajst-5301 166 22 without without ADP ajst-5301 166 23 scaling scale VERB ajst-5301 166 24 factor factor NOUN ajst-5301 166 25 [ [ X ajst-5301 166 26 j j X ajst-5301 166 27 ] ] X ajst-5301 166 28 journal journal NOUN ajst-5301 166 29 of of ADP ajst-5301 166 30 electronics electronic NOUN ajst-5301 166 31 , , PUNCT ajst-5301 166 32 2014 2014 NUM ajst-5301 166 33 , , PUNCT ajst-5301 166 34 42 42 NUM ajst-5301 166 35 ( ( PUNCT ajst-5301 166 36 7 7 NUM ajst-5301 166 37 ): ): PUNCT ajst-5301 166 38 1441 1441 NUM ajst-5301 166 39 - - SYM ajst-5301 166 40 1445 1445 NUM ajst-5301 166 41 . . PUNCT