id sid tid token lemma pos american_scientific_journal-4501 1 1 95 95 NUM american_scientific_journal-4501 1 2 american american ADJ american_scientific_journal-4501 1 3 scientific scientific ADJ american_scientific_journal-4501 1 4 research research NOUN american_scientific_journal-4501 1 5 journal journal NOUN american_scientific_journal-4501 1 6 for for ADP american_scientific_journal-4501 1 7 engineering engineering NOUN american_scientific_journal-4501 1 8 , , PUNCT american_scientific_journal-4501 1 9 technology technology NOUN american_scientific_journal-4501 1 10 , , PUNCT american_scientific_journal-4501 1 11 and and CCONJ american_scientific_journal-4501 1 12 sciences science NOUN american_scientific_journal-4501 1 13 ( ( PUNCT american_scientific_journal-4501 1 14 asrjets asrjet NOUN american_scientific_journal-4501 1 15 ) ) PUNCT american_scientific_journal-4501 1 16 issn issn PROPN american_scientific_journal-4501 1 17 ( ( PUNCT american_scientific_journal-4501 1 18 print print NOUN american_scientific_journal-4501 1 19 ) ) PUNCT american_scientific_journal-4501 1 20 2313 2313 NUM american_scientific_journal-4501 1 21 - - SYM american_scientific_journal-4501 1 22 4410 4410 NUM american_scientific_journal-4501 1 23 , , PUNCT american_scientific_journal-4501 1 24 issn issn PROPN american_scientific_journal-4501 1 25 ( ( PUNCT american_scientific_journal-4501 1 26 online online ADJ american_scientific_journal-4501 1 27 ) ) PUNCT american_scientific_journal-4501 1 28 2313 2313 NUM american_scientific_journal-4501 1 29 - - SYM american_scientific_journal-4501 1 30 4402 4402 NUM american_scientific_journal-4501 1 31 Β© Β© PROPN american_scientific_journal-4501 1 32 global global ADJ american_scientific_journal-4501 1 33 society society NOUN american_scientific_journal-4501 1 34 of of ADP american_scientific_journal-4501 1 35 scientific scientific ADJ american_scientific_journal-4501 1 36 research research NOUN american_scientific_journal-4501 1 37 and and CCONJ american_scientific_journal-4501 1 38 researchers researcher NOUN american_scientific_journal-4501 1 39 http://asrjetsjournal.org/ http://asrjetsjournal.org/ ADJ american_scientific_journal-4501 1 40 synthesis synthesis NOUN american_scientific_journal-4501 1 41 of of ADP american_scientific_journal-4501 1 42 antenna antenna NOUN american_scientific_journal-4501 1 43 arrays array VERB american_scientific_journal-4501 1 44 for for ADP american_scientific_journal-4501 1 45 maximum maximum ADJ american_scientific_journal-4501 1 46 gain gain NOUN american_scientific_journal-4501 1 47 and and CCONJ american_scientific_journal-4501 1 48 its its PRON american_scientific_journal-4501 1 49 impact impact NOUN american_scientific_journal-4501 1 50 on on ADP american_scientific_journal-4501 1 51 ber ber NOUN american_scientific_journal-4501 1 52 performance performance NOUN american_scientific_journal-4501 1 53 of of ADP american_scientific_journal-4501 1 54 mimo mimo PROPN american_scientific_journal-4501 1 55 systems systems PROPN american_scientific_journal-4501 1 56 nourhan nourhan PROPN american_scientific_journal-4501 1 57 m. m. NOUN american_scientific_journal-4501 1 58 salema salema PROPN american_scientific_journal-4501 1 59 * * PROPN american_scientific_journal-4501 1 60 , , PUNCT american_scientific_journal-4501 1 61 amr amr PROPN american_scientific_journal-4501 1 62 h. h. PROPN american_scientific_journal-4501 1 63 husseinb husseinb PROPN american_scientific_journal-4501 1 64 , , PUNCT american_scientific_journal-4501 1 65 mohamed mohamed PROPN american_scientific_journal-4501 1 66 nasrc nasrc PROPN american_scientific_journal-4501 1 67 a a DET american_scientific_journal-4501 1 68 , , PUNCT american_scientific_journal-4501 1 69 b b NOUN american_scientific_journal-4501 1 70 , , PUNCT american_scientific_journal-4501 1 71 celectronics celectronic NOUN american_scientific_journal-4501 1 72 and and CCONJ american_scientific_journal-4501 1 73 electrical electrical ADJ american_scientific_journal-4501 1 74 engineering engineering NOUN american_scientific_journal-4501 1 75 dept dept NOUN american_scientific_journal-4501 1 76 . . PROPN american_scientific_journal-4501 1 77 , , PUNCT american_scientific_journal-4501 1 78 faculty faculty NOUN american_scientific_journal-4501 1 79 of of ADP american_scientific_journal-4501 1 80 engineering engineering PROPN american_scientific_journal-4501 1 81 , , PUNCT american_scientific_journal-4501 1 82 tanta tanta PROPN american_scientific_journal-4501 1 83 university university PROPN american_scientific_journal-4501 1 84 , , PUNCT american_scientific_journal-4501 1 85 tanta tanta PROPN american_scientific_journal-4501 1 86 3111 3111 NUM american_scientific_journal-4501 1 87 , , PUNCT american_scientific_journal-4501 1 88 egypt egypt PROPN american_scientific_journal-4501 1 89 aemail aemail NOUN american_scientific_journal-4501 1 90 : : PUNCT american_scientific_journal-4501 1 91 nouraa.magdy@gmail.com nouraa.magdy@gmail.com X american_scientific_journal-4501 1 92 bemail bemail NOUN american_scientific_journal-4501 1 93 : : PUNCT american_scientific_journal-4501 1 94 amrvips@yahoo.com amrvips@yahoo.com X american_scientific_journal-4501 2 1 cemail cemail NOUN american_scientific_journal-4501 2 2 : : PUNCT american_scientific_journal-4501 2 3 menasr2001@yahoo.com menasr2001@yahoo.com X american_scientific_journal-4501 3 1 abstract abstract ADJ american_scientific_journal-4501 3 2 multiple multiple ADJ american_scientific_journal-4501 3 3 - - PUNCT american_scientific_journal-4501 3 4 input input NOUN american_scientific_journal-4501 3 5 multiple multiple ADJ american_scientific_journal-4501 3 6 - - PUNCT american_scientific_journal-4501 3 7 output output NOUN american_scientific_journal-4501 3 8 ( ( PUNCT american_scientific_journal-4501 3 9 mimo mimo PROPN american_scientific_journal-4501 3 10 ) ) PUNCT american_scientific_journal-4501 3 11 is be AUX american_scientific_journal-4501 3 12 the the DET american_scientific_journal-4501 3 13 most most ADV american_scientific_journal-4501 3 14 promising promising ADJ american_scientific_journal-4501 3 15 technology technology NOUN american_scientific_journal-4501 3 16 that that PRON american_scientific_journal-4501 3 17 improves improve VERB american_scientific_journal-4501 3 18 the the DET american_scientific_journal-4501 3 19 system system NOUN american_scientific_journal-4501 3 20 capacity capacity NOUN american_scientific_journal-4501 3 21 and and CCONJ american_scientific_journal-4501 3 22 data datum NOUN american_scientific_journal-4501 3 23 rate rate NOUN american_scientific_journal-4501 3 24 by by ADP american_scientific_journal-4501 3 25 using use VERB american_scientific_journal-4501 3 26 multiple multiple ADJ american_scientific_journal-4501 3 27 antennas antenna NOUN american_scientific_journal-4501 3 28 at at ADP american_scientific_journal-4501 3 29 transmitting transmit VERB american_scientific_journal-4501 3 30 and and CCONJ american_scientific_journal-4501 3 31 receiving receive VERB american_scientific_journal-4501 3 32 sides side NOUN american_scientific_journal-4501 3 33 of of ADP american_scientific_journal-4501 3 34 wireless wireless ADJ american_scientific_journal-4501 3 35 communication communication NOUN american_scientific_journal-4501 3 36 systems system NOUN american_scientific_journal-4501 3 37 . . PUNCT american_scientific_journal-4501 4 1 many many ADJ american_scientific_journal-4501 4 2 research research NOUN american_scientific_journal-4501 4 3 efforts effort NOUN american_scientific_journal-4501 4 4 are be AUX american_scientific_journal-4501 4 5 introduced introduce VERB american_scientific_journal-4501 4 6 to to PART american_scientific_journal-4501 4 7 enhance enhance VERB american_scientific_journal-4501 4 8 the the DET american_scientific_journal-4501 4 9 bit bit NOUN american_scientific_journal-4501 4 10 error error NOUN american_scientific_journal-4501 4 11 rate rate NOUN american_scientific_journal-4501 4 12 ( ( PUNCT american_scientific_journal-4501 4 13 ber ber NOUN american_scientific_journal-4501 4 14 ) ) PUNCT american_scientific_journal-4501 4 15 performance performance NOUN american_scientific_journal-4501 4 16 of of ADP american_scientific_journal-4501 4 17 mimo mimo PROPN american_scientific_journal-4501 4 18 systems system NOUN american_scientific_journal-4501 4 19 . . PUNCT american_scientific_journal-4501 5 1 in in ADP american_scientific_journal-4501 5 2 this this DET american_scientific_journal-4501 5 3 paper paper NOUN american_scientific_journal-4501 5 4 , , PUNCT american_scientific_journal-4501 5 5 detection detection NOUN american_scientific_journal-4501 5 6 algorithms algorithm NOUN american_scientific_journal-4501 5 7 based base VERB american_scientific_journal-4501 5 8 on on ADP american_scientific_journal-4501 5 9 antenna antenna NOUN american_scientific_journal-4501 5 10 arrays array VERB american_scientific_journal-4501 5 11 synthesis synthesis NOUN american_scientific_journal-4501 5 12 have have AUX american_scientific_journal-4501 5 13 been be AUX american_scientific_journal-4501 5 14 proposed propose VERB american_scientific_journal-4501 5 15 for for ADP american_scientific_journal-4501 5 16 bit bit NOUN american_scientific_journal-4501 5 17 error error NOUN american_scientific_journal-4501 5 18 rate rate NOUN american_scientific_journal-4501 5 19 performance performance NOUN american_scientific_journal-4501 5 20 enhancement enhancement NOUN american_scientific_journal-4501 5 21 of of ADP american_scientific_journal-4501 5 22 mimo mimo PROPN american_scientific_journal-4501 5 23 systems system NOUN american_scientific_journal-4501 5 24 . . PUNCT american_scientific_journal-4501 6 1 it it PRON american_scientific_journal-4501 6 2 is be AUX american_scientific_journal-4501 6 3 well well ADV american_scientific_journal-4501 6 4 known know VERB american_scientific_journal-4501 6 5 that that SCONJ american_scientific_journal-4501 6 6 the the DET american_scientific_journal-4501 6 7 maximum maximum ADJ american_scientific_journal-4501 6 8 number number NOUN american_scientific_journal-4501 6 9 of of ADP american_scientific_journal-4501 6 10 data datum NOUN american_scientific_journal-4501 6 11 streams stream NOUN american_scientific_journal-4501 6 12 that that PRON american_scientific_journal-4501 6 13 can can AUX american_scientific_journal-4501 6 14 be be AUX american_scientific_journal-4501 6 15 supported support VERB american_scientific_journal-4501 6 16 by by ADP american_scientific_journal-4501 6 17 mimo mimo PROPN american_scientific_journal-4501 6 18 system system NOUN american_scientific_journal-4501 6 19 using use VERB american_scientific_journal-4501 6 20 spatial spatial ADJ american_scientific_journal-4501 6 21 multiplexing multiplexing NOUN american_scientific_journal-4501 6 22 is be AUX american_scientific_journal-4501 6 23 given give VERB american_scientific_journal-4501 6 24 by by ADP american_scientific_journal-4501 6 25 𝑁𝑁𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 𝑁𝑁𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 PROPN american_scientific_journal-4501 6 26 = = SYM american_scientific_journal-4501 6 27 π‘šπ‘šπ‘šπ‘šπ‘šπ‘š π‘šπ‘šπ‘šπ‘šπ‘šπ‘š ADJ american_scientific_journal-4501 6 28 ( ( PUNCT american_scientific_journal-4501 6 29 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 6 30 , , PUNCT american_scientific_journal-4501 6 31 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 PROPN american_scientific_journal-4501 6 32 ) ) PUNCT american_scientific_journal-4501 6 33 . . PUNCT american_scientific_journal-4501 7 1 where where SCONJ american_scientific_journal-4501 7 2 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 7 3 is be AUX american_scientific_journal-4501 7 4 the the DET american_scientific_journal-4501 7 5 number number NOUN american_scientific_journal-4501 7 6 of of ADP american_scientific_journal-4501 7 7 transmitting transmit VERB american_scientific_journal-4501 7 8 antennas antenna NOUN american_scientific_journal-4501 7 9 and and CCONJ american_scientific_journal-4501 7 10 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 7 11 is be AUX american_scientific_journal-4501 7 12 the the DET american_scientific_journal-4501 7 13 number number NOUN american_scientific_journal-4501 7 14 of of ADP american_scientific_journal-4501 7 15 receiving receive VERB american_scientific_journal-4501 7 16 antennas antenna NOUN american_scientific_journal-4501 7 17 . . PUNCT american_scientific_journal-4501 8 1 for for ADP american_scientific_journal-4501 8 2 a a DET american_scientific_journal-4501 8 3 given give VERB american_scientific_journal-4501 8 4 ( ( PUNCT american_scientific_journal-4501 8 5 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 ADJ american_scientific_journal-4501 8 6 Γ— Γ— NOUN american_scientific_journal-4501 8 7 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 8 8 ) ) PUNCT american_scientific_journal-4501 8 9 mimo mimo PROPN american_scientific_journal-4501 8 10 system system PROPN american_scientific_journal-4501 8 11 , , PUNCT american_scientific_journal-4501 8 12 the the DET american_scientific_journal-4501 8 13 existing exist VERB american_scientific_journal-4501 8 14 number number NOUN american_scientific_journal-4501 8 15 of of ADP american_scientific_journal-4501 8 16 antenna antenna NOUN american_scientific_journal-4501 8 17 elements element NOUN american_scientific_journal-4501 8 18 at at ADP american_scientific_journal-4501 8 19 transmitting transmit VERB american_scientific_journal-4501 8 20 and and CCONJ american_scientific_journal-4501 8 21 receiving receive VERB american_scientific_journal-4501 8 22 sides side NOUN american_scientific_journal-4501 8 23 are be AUX american_scientific_journal-4501 8 24 individually individually ADV american_scientific_journal-4501 8 25 used use VERB american_scientific_journal-4501 8 26 to to PART american_scientific_journal-4501 8 27 synthesize synthesize VERB american_scientific_journal-4501 8 28 larger large ADJ american_scientific_journal-4501 8 29 size size NOUN american_scientific_journal-4501 8 30 antenna antenna NOUN american_scientific_journal-4501 8 31 arrays array VERB american_scientific_journal-4501 8 32 to to PART american_scientific_journal-4501 8 33 provide provide VERB american_scientific_journal-4501 8 34 higher high ADJ american_scientific_journal-4501 8 35 antenna antenna NOUN american_scientific_journal-4501 8 36 gains gain NOUN american_scientific_journal-4501 8 37 without without ADP american_scientific_journal-4501 8 38 using use VERB american_scientific_journal-4501 8 39 additional additional ADJ american_scientific_journal-4501 8 40 antenna antenna NOUN american_scientific_journal-4501 8 41 elements element NOUN american_scientific_journal-4501 8 42 or or CCONJ american_scientific_journal-4501 8 43 changing change VERB american_scientific_journal-4501 8 44 the the DET american_scientific_journal-4501 8 45 number number NOUN american_scientific_journal-4501 8 46 of of ADP american_scientific_journal-4501 8 47 transmitted transmit VERB american_scientific_journal-4501 8 48 data datum NOUN american_scientific_journal-4501 8 49 streams stream NOUN american_scientific_journal-4501 8 50 . . PUNCT american_scientific_journal-4501 9 1 the the DET american_scientific_journal-4501 9 2 achieved achieve VERB american_scientific_journal-4501 9 3 array array NOUN american_scientific_journal-4501 9 4 gain gain NOUN american_scientific_journal-4501 9 5 will will AUX american_scientific_journal-4501 9 6 enhance enhance VERB american_scientific_journal-4501 9 7 the the DET american_scientific_journal-4501 9 8 signal signal NOUN american_scientific_journal-4501 9 9 to to PART american_scientific_journal-4501 9 10 noise noise VERB american_scientific_journal-4501 9 11 ratio ratio NOUN american_scientific_journal-4501 9 12 of of ADP american_scientific_journal-4501 9 13 the the DET american_scientific_journal-4501 9 14 system system NOUN american_scientific_journal-4501 9 15 giving give VERB american_scientific_journal-4501 9 16 rise rise NOUN american_scientific_journal-4501 9 17 to to ADP american_scientific_journal-4501 9 18 lower low ADJ american_scientific_journal-4501 9 19 bit bit NOUN american_scientific_journal-4501 9 20 error error NOUN american_scientific_journal-4501 9 21 rate rate NOUN american_scientific_journal-4501 9 22 . . PUNCT american_scientific_journal-4501 10 1 the the DET american_scientific_journal-4501 10 2 proposed propose VERB american_scientific_journal-4501 10 3 system system NOUN american_scientific_journal-4501 10 4 is be AUX american_scientific_journal-4501 10 5 tested test VERB american_scientific_journal-4501 10 6 for for ADP american_scientific_journal-4501 10 7 both both DET american_scientific_journal-4501 10 8 zero zero NUM american_scientific_journal-4501 10 9 forcing force VERB american_scientific_journal-4501 10 10 ( ( PUNCT american_scientific_journal-4501 10 11 zf zf PROPN american_scientific_journal-4501 10 12 ) ) PUNCT american_scientific_journal-4501 10 13 and and CCONJ american_scientific_journal-4501 10 14 minimum minimum NOUN american_scientific_journal-4501 10 15 mean mean NOUN american_scientific_journal-4501 10 16 square square NOUN american_scientific_journal-4501 10 17 error error NOUN american_scientific_journal-4501 10 18 ( ( PUNCT american_scientific_journal-4501 10 19 mmse mmse ADJ american_scientific_journal-4501 10 20 ) ) PUNCT american_scientific_journal-4501 10 21 detectors detector NOUN american_scientific_journal-4501 10 22 . . PUNCT american_scientific_journal-4501 11 1 the the DET american_scientific_journal-4501 11 2 simulation simulation NOUN american_scientific_journal-4501 11 3 results result NOUN american_scientific_journal-4501 11 4 revealed reveal VERB american_scientific_journal-4501 11 5 that that SCONJ american_scientific_journal-4501 11 6 the the DET american_scientific_journal-4501 11 7 proposed propose VERB american_scientific_journal-4501 11 8 system system NOUN american_scientific_journal-4501 11 9 outperforms outperform VERB american_scientific_journal-4501 11 10 the the DET american_scientific_journal-4501 11 11 traditional traditional ADJ american_scientific_journal-4501 11 12 zf zf PROPN american_scientific_journal-4501 11 13 and and CCONJ american_scientific_journal-4501 11 14 mmse mmse ADJ american_scientific_journal-4501 11 15 detectors detector NOUN american_scientific_journal-4501 11 16 . . PUNCT american_scientific_journal-4501 12 1 keywords keyword NOUN american_scientific_journal-4501 12 2 : : PUNCT american_scientific_journal-4501 12 3 multi multi ADJ american_scientific_journal-4501 12 4 inputmulti inputmulti PROPN american_scientific_journal-4501 12 5 output output PROPN american_scientific_journal-4501 12 6 ( ( PUNCT american_scientific_journal-4501 12 7 mimo mimo PROPN american_scientific_journal-4501 12 8 ) ) PUNCT american_scientific_journal-4501 12 9 ; ; PUNCT american_scientific_journal-4501 12 10 zero zero NUM american_scientific_journal-4501 12 11 forcing force VERB american_scientific_journal-4501 12 12 ( ( PUNCT american_scientific_journal-4501 12 13 zf zf PROPN american_scientific_journal-4501 12 14 ) ) PUNCT american_scientific_journal-4501 12 15 ; ; PUNCT american_scientific_journal-4501 12 16 minimum minimum ADJ american_scientific_journal-4501 12 17 mean mean NOUN american_scientific_journal-4501 12 18 square square NOUN american_scientific_journal-4501 12 19 error error NOUN american_scientific_journal-4501 12 20 ( ( PUNCT american_scientific_journal-4501 12 21 mmse mmse ADJ american_scientific_journal-4501 12 22 ) ) PUNCT american_scientific_journal-4501 12 23 ; ; PUNCT american_scientific_journal-4501 12 24 bit bit NOUN american_scientific_journal-4501 12 25 error error NOUN american_scientific_journal-4501 12 26 rate rate NOUN american_scientific_journal-4501 12 27 ( ( PUNCT american_scientific_journal-4501 12 28 ber ber PROPN american_scientific_journal-4501 12 29 ) ) PUNCT american_scientific_journal-4501 12 30 . . PUNCT american_scientific_journal-4501 13 1 ----------------------------------------------------------------------- ----------------------------------------------------------------------- PUNCT american_scientific_journal-4501 14 1 * * PUNCT american_scientific_journal-4501 14 2 corresponding correspond VERB american_scientific_journal-4501 14 3 author author NOUN american_scientific_journal-4501 14 4 . . PUNCT american_scientific_journal-4501 15 1 http://asrjetsjournal.org/ http://asrjetsjournal.org/ PROPN american_scientific_journal-4501 15 2 american american PROPN american_scientific_journal-4501 15 3 scientific scientific PROPN american_scientific_journal-4501 15 4 research research NOUN american_scientific_journal-4501 15 5 journal journal NOUN american_scientific_journal-4501 15 6 for for ADP american_scientific_journal-4501 15 7 engineering engineering NOUN american_scientific_journal-4501 15 8 , , PUNCT american_scientific_journal-4501 15 9 technology technology NOUN american_scientific_journal-4501 15 10 , , PUNCT american_scientific_journal-4501 15 11 and and CCONJ american_scientific_journal-4501 15 12 sciences science NOUN american_scientific_journal-4501 15 13 ( ( PUNCT american_scientific_journal-4501 15 14 asrjets asrjet NOUN american_scientific_journal-4501 15 15 ) ) PUNCT american_scientific_journal-4501 15 16 ( ( PUNCT american_scientific_journal-4501 15 17 2018 2018 NUM american_scientific_journal-4501 15 18 ) ) PUNCT american_scientific_journal-4501 15 19 volume volume NOUN american_scientific_journal-4501 15 20 49 49 NUM american_scientific_journal-4501 15 21 , , PUNCT american_scientific_journal-4501 15 22 no no DET american_scientific_journal-4501 15 23 1 1 NUM american_scientific_journal-4501 15 24 , , PUNCT american_scientific_journal-4501 15 25 pp pp ADV american_scientific_journal-4501 15 26 95 95 NUM american_scientific_journal-4501 15 27 - - SYM american_scientific_journal-4501 15 28 105 105 NUM american_scientific_journal-4501 15 29 96 96 NUM american_scientific_journal-4501 15 30 1 1 NUM american_scientific_journal-4501 15 31 . . PUNCT american_scientific_journal-4501 16 1 introduction introduction NOUN american_scientific_journal-4501 16 2 multiple multiple ADJ american_scientific_journal-4501 16 3 - - PUNCT american_scientific_journal-4501 16 4 input input NOUN american_scientific_journal-4501 16 5 multiple multiple ADJ american_scientific_journal-4501 16 6 - - PUNCT american_scientific_journal-4501 16 7 output output NOUN american_scientific_journal-4501 16 8 ( ( PUNCT american_scientific_journal-4501 16 9 mimo mimo PROPN american_scientific_journal-4501 16 10 ) ) PUNCT american_scientific_journal-4501 16 11 systems system NOUN american_scientific_journal-4501 16 12 exploit exploit VERB american_scientific_journal-4501 16 13 multipath multipath NOUN american_scientific_journal-4501 16 14 propagation propagation NOUN american_scientific_journal-4501 16 15 to to PART american_scientific_journal-4501 16 16 achieve achieve VERB american_scientific_journal-4501 16 17 higher high ADJ american_scientific_journal-4501 16 18 data datum NOUN american_scientific_journal-4501 16 19 rates rate NOUN american_scientific_journal-4501 16 20 , , PUNCT american_scientific_journal-4501 16 21 without without ADP american_scientific_journal-4501 16 22 the the DET american_scientific_journal-4501 16 23 need need NOUN american_scientific_journal-4501 16 24 for for ADP american_scientific_journal-4501 16 25 additional additional ADJ american_scientific_journal-4501 16 26 bandwidth bandwidth NOUN american_scientific_journal-4501 16 27 [ [ X american_scientific_journal-4501 16 28 1 1 NUM american_scientific_journal-4501 16 29 - - SYM american_scientific_journal-4501 16 30 5 5 NUM american_scientific_journal-4501 16 31 ] ] PUNCT american_scientific_journal-4501 16 32 . . PUNCT american_scientific_journal-4501 17 1 for for ADP american_scientific_journal-4501 17 2 optimum optimum ADJ american_scientific_journal-4501 17 3 detection detection NOUN american_scientific_journal-4501 17 4 , , PUNCT american_scientific_journal-4501 17 5 the the DET american_scientific_journal-4501 17 6 maximum maximum ADJ american_scientific_journal-4501 17 7 likelihood likelihood NOUN american_scientific_journal-4501 17 8 accomplishes accomplish VERB american_scientific_journal-4501 17 9 the the DET american_scientific_journal-4501 17 10 most most ADV american_scientific_journal-4501 17 11 elevated elevated ADJ american_scientific_journal-4501 17 12 performance performance NOUN american_scientific_journal-4501 17 13 to to ADP american_scientific_journal-4501 17 14 the the DET american_scientific_journal-4501 17 15 detriment detriment NOUN american_scientific_journal-4501 17 16 of of ADP american_scientific_journal-4501 17 17 high high ADJ american_scientific_journal-4501 17 18 computational computational ADJ american_scientific_journal-4501 17 19 complexity complexity NOUN american_scientific_journal-4501 17 20 . . PUNCT american_scientific_journal-4501 18 1 in in ADP american_scientific_journal-4501 18 2 this this DET american_scientific_journal-4501 18 3 context context NOUN american_scientific_journal-4501 18 4 , , PUNCT american_scientific_journal-4501 18 5 great great ADJ american_scientific_journal-4501 18 6 research research NOUN american_scientific_journal-4501 18 7 efforts effort NOUN american_scientific_journal-4501 18 8 are be AUX american_scientific_journal-4501 18 9 exerted exert VERB american_scientific_journal-4501 18 10 to to PART american_scientific_journal-4501 18 11 introduce introduce VERB american_scientific_journal-4501 18 12 new new ADJ american_scientific_journal-4501 18 13 detection detection NOUN american_scientific_journal-4501 18 14 algorithms algorithm NOUN american_scientific_journal-4501 18 15 of of ADP american_scientific_journal-4501 18 16 high high ADJ american_scientific_journal-4501 18 17 performance performance NOUN american_scientific_journal-4501 18 18 close close ADV american_scientific_journal-4501 18 19 to to ADP american_scientific_journal-4501 18 20 the the DET american_scientific_journal-4501 18 21 ml ml ADP american_scientific_journal-4501 18 22 optimal optimal ADJ american_scientific_journal-4501 18 23 performance performance NOUN american_scientific_journal-4501 18 24 . . PUNCT american_scientific_journal-4501 19 1 the the DET american_scientific_journal-4501 19 2 sphere sphere NOUN american_scientific_journal-4501 19 3 decoding decode VERB american_scientific_journal-4501 19 4 ( ( PUNCT american_scientific_journal-4501 19 5 sd sd NOUN american_scientific_journal-4501 19 6 ) ) PUNCT american_scientific_journal-4501 19 7 algorithm algorithm NOUN american_scientific_journal-4501 19 8 can can AUX american_scientific_journal-4501 19 9 efficiently efficiently ADV american_scientific_journal-4501 19 10 attain attain VERB american_scientific_journal-4501 19 11 the the DET american_scientific_journal-4501 19 12 optimal optimal ADJ american_scientific_journal-4501 19 13 maximum maximum ADJ american_scientific_journal-4501 19 14 - - PUNCT american_scientific_journal-4501 19 15 likelihood likelihood NOUN american_scientific_journal-4501 19 16 ( ( PUNCT american_scientific_journal-4501 19 17 ml ml NOUN american_scientific_journal-4501 19 18 ) ) PUNCT american_scientific_journal-4501 19 19 performance performance NOUN american_scientific_journal-4501 19 20 , , PUNCT american_scientific_journal-4501 19 21 although although SCONJ american_scientific_journal-4501 19 22 it it PRON american_scientific_journal-4501 19 23 has have VERB american_scientific_journal-4501 19 24 higher high ADJ american_scientific_journal-4501 19 25 complexity complexity NOUN american_scientific_journal-4501 19 26 at at ADP american_scientific_journal-4501 19 27 lower low ADJ american_scientific_journal-4501 19 28 signal signal NOUN american_scientific_journal-4501 19 29 - - PUNCT american_scientific_journal-4501 19 30 tonoise tonoise NOUN american_scientific_journal-4501 19 31 ratio ratio NOUN american_scientific_journal-4501 19 32 ( ( PUNCT american_scientific_journal-4501 19 33 snr snr PROPN american_scientific_journal-4501 19 34 ) ) PUNCT american_scientific_journal-4501 20 1 [ [ X american_scientific_journal-4501 20 2 2,3 2,3 NUM american_scientific_journal-4501 20 3 ] ] PUNCT american_scientific_journal-4501 20 4 . . PUNCT american_scientific_journal-4501 21 1 the the DET american_scientific_journal-4501 21 2 linear linear PROPN american_scientific_journal-4501 21 3 detectors detector NOUN american_scientific_journal-4501 21 4 , , PUNCT american_scientific_journal-4501 21 5 like like ADP american_scientific_journal-4501 21 6 the the DET american_scientific_journal-4501 21 7 minimum minimum ADJ american_scientific_journal-4501 21 8 mean mean NOUN american_scientific_journal-4501 21 9 square square NOUN american_scientific_journal-4501 21 10 error error NOUN american_scientific_journal-4501 21 11 ( ( PUNCT american_scientific_journal-4501 21 12 mmse mmse ADJ american_scientific_journal-4501 21 13 ) ) PUNCT american_scientific_journal-4501 21 14 based base VERB american_scientific_journal-4501 21 15 detectors detector NOUN american_scientific_journal-4501 21 16 , , PUNCT american_scientific_journal-4501 21 17 have have VERB american_scientific_journal-4501 21 18 much much ADV american_scientific_journal-4501 21 19 lower low ADJ american_scientific_journal-4501 21 20 complexity complexity NOUN american_scientific_journal-4501 21 21 , , PUNCT american_scientific_journal-4501 21 22 but but CCONJ american_scientific_journal-4501 21 23 there there PRON american_scientific_journal-4501 21 24 also also ADV american_scientific_journal-4501 21 25 exists exist VERB american_scientific_journal-4501 21 26 significant significant ADJ american_scientific_journal-4501 21 27 performance performance NOUN american_scientific_journal-4501 21 28 degradation degradation NOUN american_scientific_journal-4501 21 29 comparing compare VERB american_scientific_journal-4501 21 30 with with ADP american_scientific_journal-4501 21 31 the the DET american_scientific_journal-4501 21 32 sd sd NOUN american_scientific_journal-4501 21 33 algorithm algorithm NOUN american_scientific_journal-4501 21 34 . . PUNCT american_scientific_journal-4501 22 1 on on ADP american_scientific_journal-4501 22 2 the the DET american_scientific_journal-4501 22 3 other other ADJ american_scientific_journal-4501 22 4 hand hand NOUN american_scientific_journal-4501 22 5 , , PUNCT american_scientific_journal-4501 22 6 non non ADJ american_scientific_journal-4501 22 7 - - ADJ american_scientific_journal-4501 22 8 linear linear ADJ american_scientific_journal-4501 22 9 detectors detector NOUN american_scientific_journal-4501 22 10 provide provide VERB american_scientific_journal-4501 22 11 better well ADJ american_scientific_journal-4501 22 12 performance performance NOUN american_scientific_journal-4501 22 13 with with ADP american_scientific_journal-4501 22 14 higher high ADJ american_scientific_journal-4501 22 15 complexity complexity NOUN american_scientific_journal-4501 22 16 . . PUNCT american_scientific_journal-4501 23 1 the the DET american_scientific_journal-4501 23 2 vertical vertical ADJ american_scientific_journal-4501 23 3 bell bell NOUN american_scientific_journal-4501 23 4 - - PUNCT american_scientific_journal-4501 23 5 laboratories laboratory NOUN american_scientific_journal-4501 23 6 layered layered ADJ american_scientific_journal-4501 23 7 space space NOUN american_scientific_journal-4501 23 8 - - PUNCT american_scientific_journal-4501 23 9 time time NOUN american_scientific_journal-4501 23 10 ( ( PUNCT american_scientific_journal-4501 23 11 vblast vblast ADJ american_scientific_journal-4501 23 12 ) ) PUNCT american_scientific_journal-4501 23 13 system system NOUN american_scientific_journal-4501 23 14 , , PUNCT american_scientific_journal-4501 23 15 is be AUX american_scientific_journal-4501 23 16 based base VERB american_scientific_journal-4501 23 17 on on ADP american_scientific_journal-4501 23 18 the the DET american_scientific_journal-4501 23 19 mmse mmse ADJ american_scientific_journal-4501 23 20 principle principle NOUN american_scientific_journal-4501 23 21 with with ADP american_scientific_journal-4501 23 22 the the DET american_scientific_journal-4501 23 23 optimal optimal ADJ american_scientific_journal-4501 23 24 successive successive ADJ american_scientific_journal-4501 23 25 interference interference NOUN american_scientific_journal-4501 23 26 cancellation cancellation NOUN american_scientific_journal-4501 23 27 ( ( PUNCT american_scientific_journal-4501 23 28 osic osic ADJ american_scientific_journal-4501 23 29 ) ) PUNCT american_scientific_journal-4501 23 30 . . PUNCT american_scientific_journal-4501 24 1 the the DET american_scientific_journal-4501 24 2 v v NOUN american_scientific_journal-4501 24 3 - - PUNCT american_scientific_journal-4501 24 4 blast blast NOUN american_scientific_journal-4501 24 5 is be AUX american_scientific_journal-4501 24 6 one one NUM american_scientific_journal-4501 24 7 of of ADP american_scientific_journal-4501 24 8 the the DET american_scientific_journal-4501 24 9 most most ADV american_scientific_journal-4501 24 10 well well ADV american_scientific_journal-4501 24 11 - - PUNCT american_scientific_journal-4501 24 12 known know VERB american_scientific_journal-4501 24 13 mimo mimo PROPN american_scientific_journal-4501 24 14 detection detection NOUN american_scientific_journal-4501 24 15 techniques technique NOUN american_scientific_journal-4501 24 16 [ [ X american_scientific_journal-4501 24 17 4 4 NUM american_scientific_journal-4501 24 18 ] ] PUNCT american_scientific_journal-4501 24 19 . . PUNCT american_scientific_journal-4501 25 1 a a DET american_scientific_journal-4501 25 2 fast fast ADJ american_scientific_journal-4501 25 3 detector detector NOUN american_scientific_journal-4501 25 4 for for ADP american_scientific_journal-4501 25 5 mimo mimo PROPN american_scientific_journal-4501 25 6 system system NOUN american_scientific_journal-4501 25 7 which which PRON american_scientific_journal-4501 25 8 utilizes utilize VERB american_scientific_journal-4501 25 9 the the DET american_scientific_journal-4501 25 10 lattice lattice NOUN american_scientific_journal-4501 25 11 reduction reduction NOUN american_scientific_journal-4501 25 12 to to PART american_scientific_journal-4501 25 13 improve improve VERB american_scientific_journal-4501 25 14 the the DET american_scientific_journal-4501 25 15 symbols symbol NOUN american_scientific_journal-4501 25 16 detection detection NOUN american_scientific_journal-4501 25 17 was be AUX american_scientific_journal-4501 25 18 introduced introduce VERB american_scientific_journal-4501 25 19 in in ADP american_scientific_journal-4501 25 20 [ [ X american_scientific_journal-4501 25 21 5 5 NUM american_scientific_journal-4501 25 22 ] ] PUNCT american_scientific_journal-4501 25 23 . . PUNCT american_scientific_journal-4501 26 1 it it PRON american_scientific_journal-4501 26 2 employs employ VERB american_scientific_journal-4501 26 3 the the DET american_scientific_journal-4501 26 4 orthogonality orthogonality NOUN american_scientific_journal-4501 26 5 defect defect NOUN american_scientific_journal-4501 26 6 factor factor NOUN american_scientific_journal-4501 26 7 to to PART american_scientific_journal-4501 26 8 select select VERB american_scientific_journal-4501 26 9 the the DET american_scientific_journal-4501 26 10 best good ADJ american_scientific_journal-4501 26 11 available available ADJ american_scientific_journal-4501 26 12 channel channel NOUN american_scientific_journal-4501 26 13 submatrix submatrix NOUN american_scientific_journal-4501 26 14 for for ADP american_scientific_journal-4501 26 15 conditional conditional ADJ american_scientific_journal-4501 26 16 detection detection NOUN american_scientific_journal-4501 26 17 . . PUNCT american_scientific_journal-4501 27 1 after after ADP american_scientific_journal-4501 27 2 channel channel NOUN american_scientific_journal-4501 27 3 submatrix submatrix NOUN american_scientific_journal-4501 27 4 selection selection NOUN american_scientific_journal-4501 27 5 , , PUNCT american_scientific_journal-4501 27 6 the the DET american_scientific_journal-4501 27 7 lattice lattice NOUN american_scientific_journal-4501 27 8 reduction reduction NOUN american_scientific_journal-4501 27 9 is be AUX american_scientific_journal-4501 27 10 applied apply VERB american_scientific_journal-4501 27 11 to to ADP american_scientific_journal-4501 27 12 the the DET american_scientific_journal-4501 27 13 first first ADJ american_scientific_journal-4501 27 14 channel channel NOUN american_scientific_journal-4501 27 15 submatrix submatrix NOUN american_scientific_journal-4501 27 16 . . PUNCT american_scientific_journal-4501 28 1 zero zero NUM american_scientific_journal-4501 28 2 forcing force VERB american_scientific_journal-4501 28 3 ( ( PUNCT american_scientific_journal-4501 28 4 zf zf PROPN american_scientific_journal-4501 28 5 ) ) PUNCT american_scientific_journal-4501 28 6 as as SCONJ american_scientific_journal-4501 28 7 a a DET american_scientific_journal-4501 28 8 linear linear ADJ american_scientific_journal-4501 28 9 detector detector NOUN american_scientific_journal-4501 28 10 is be AUX american_scientific_journal-4501 28 11 applied apply VERB american_scientific_journal-4501 28 12 to to PART american_scientific_journal-4501 28 13 estimate estimate VERB american_scientific_journal-4501 28 14 the the DET american_scientific_journal-4501 28 15 first first ADJ american_scientific_journal-4501 28 16 symbols symbol NOUN american_scientific_journal-4501 28 17 subset subset VERB american_scientific_journal-4501 28 18 . . PUNCT american_scientific_journal-4501 29 1 these these DET american_scientific_journal-4501 29 2 estimated estimate VERB american_scientific_journal-4501 29 3 symbols symbol NOUN american_scientific_journal-4501 29 4 are be AUX american_scientific_journal-4501 29 5 used use VERB american_scientific_journal-4501 29 6 in in ADP american_scientific_journal-4501 29 7 conditional conditional ADJ american_scientific_journal-4501 29 8 detection detection NOUN american_scientific_journal-4501 29 9 for for ADP american_scientific_journal-4501 29 10 the the DET american_scientific_journal-4501 29 11 second second ADJ american_scientific_journal-4501 29 12 symbols symbol NOUN american_scientific_journal-4501 29 13 subset subset VERB american_scientific_journal-4501 29 14 applying apply VERB american_scientific_journal-4501 29 15 the the DET american_scientific_journal-4501 29 16 ml ml NOUN american_scientific_journal-4501 29 17 detection detection NOUN american_scientific_journal-4501 29 18 technique technique NOUN american_scientific_journal-4501 29 19 . . PUNCT american_scientific_journal-4501 30 1 the the DET american_scientific_journal-4501 30 2 estimated estimate VERB american_scientific_journal-4501 30 3 second second ADJ american_scientific_journal-4501 30 4 symbols symbol NOUN american_scientific_journal-4501 30 5 subset subset VERB american_scientific_journal-4501 30 6 are be AUX american_scientific_journal-4501 30 7 utilized utilize VERB american_scientific_journal-4501 30 8 again again ADV american_scientific_journal-4501 30 9 to to PART american_scientific_journal-4501 30 10 enhance enhance VERB american_scientific_journal-4501 30 11 the the DET american_scientific_journal-4501 30 12 estimation estimation NOUN american_scientific_journal-4501 30 13 of of ADP american_scientific_journal-4501 30 14 the the DET american_scientific_journal-4501 30 15 first first ADJ american_scientific_journal-4501 30 16 symbols symbol NOUN american_scientific_journal-4501 30 17 subset subset VERB american_scientific_journal-4501 30 18 applying apply VERB american_scientific_journal-4501 30 19 the the DET american_scientific_journal-4501 30 20 zf zf PROPN american_scientific_journal-4501 30 21 detector detector NOUN american_scientific_journal-4501 30 22 again again ADV american_scientific_journal-4501 30 23 . . PUNCT american_scientific_journal-4501 31 1 but but CCONJ american_scientific_journal-4501 31 2 , , PUNCT american_scientific_journal-4501 31 3 staring stare VERB american_scientific_journal-4501 31 4 with with ADP american_scientific_journal-4501 31 5 zf zf PROPN american_scientific_journal-4501 31 6 detector detector NOUN american_scientific_journal-4501 31 7 which which PRON american_scientific_journal-4501 31 8 has have VERB american_scientific_journal-4501 31 9 lower low ADJ american_scientific_journal-4501 31 10 estimation estimation NOUN american_scientific_journal-4501 31 11 accuracy accuracy NOUN american_scientific_journal-4501 31 12 than than SCONJ american_scientific_journal-4501 31 13 ml ml NOUN american_scientific_journal-4501 31 14 may may AUX american_scientific_journal-4501 31 15 affect affect VERB american_scientific_journal-4501 31 16 the the DET american_scientific_journal-4501 31 17 results result NOUN american_scientific_journal-4501 31 18 of of ADP american_scientific_journal-4501 31 19 the the DET american_scientific_journal-4501 31 20 second second ADJ american_scientific_journal-4501 31 21 and and CCONJ american_scientific_journal-4501 31 22 third third ADJ american_scientific_journal-4501 31 23 stages stage NOUN american_scientific_journal-4501 31 24 . . PUNCT american_scientific_journal-4501 32 1 in in ADP american_scientific_journal-4501 32 2 this this DET american_scientific_journal-4501 32 3 paper paper NOUN american_scientific_journal-4501 32 4 , , PUNCT american_scientific_journal-4501 32 5 enhanced enhance VERB american_scientific_journal-4501 32 6 detection detection NOUN american_scientific_journal-4501 32 7 techniques technique NOUN american_scientific_journal-4501 32 8 based base VERB american_scientific_journal-4501 32 9 on on ADP american_scientific_journal-4501 32 10 synthesis synthesis NOUN american_scientific_journal-4501 32 11 of of ADP american_scientific_journal-4501 32 12 antenna antenna NOUN american_scientific_journal-4501 32 13 arrays array VERB american_scientific_journal-4501 32 14 at at ADP american_scientific_journal-4501 32 15 both both PRON american_scientific_journal-4501 32 16 transmitting transmit VERB american_scientific_journal-4501 32 17 and and CCONJ american_scientific_journal-4501 32 18 receiving receive VERB american_scientific_journal-4501 32 19 sides side NOUN american_scientific_journal-4501 32 20 are be AUX american_scientific_journal-4501 32 21 introduced introduce VERB american_scientific_journal-4501 32 22 for for ADP american_scientific_journal-4501 32 23 ber ber NOUN american_scientific_journal-4501 32 24 performance performance NOUN american_scientific_journal-4501 32 25 enhancement enhancement NOUN american_scientific_journal-4501 32 26 of of ADP american_scientific_journal-4501 32 27 mimo mimo PROPN american_scientific_journal-4501 32 28 systems system NOUN american_scientific_journal-4501 32 29 . . PUNCT american_scientific_journal-4501 33 1 many many ADJ american_scientific_journal-4501 33 2 research research NOUN american_scientific_journal-4501 33 3 efforts effort NOUN american_scientific_journal-4501 33 4 for for ADP american_scientific_journal-4501 33 5 antennas antenna NOUN american_scientific_journal-4501 33 6 arrays array VERB american_scientific_journal-4501 33 7 synthesis synthesis NOUN american_scientific_journal-4501 33 8 using use VERB american_scientific_journal-4501 33 9 reduced reduce VERB american_scientific_journal-4501 33 10 number number NOUN american_scientific_journal-4501 33 11 of of ADP american_scientific_journal-4501 33 12 antenna antenna NOUN american_scientific_journal-4501 33 13 elements element NOUN american_scientific_journal-4501 33 14 are be AUX american_scientific_journal-4501 33 15 introduced introduce VERB american_scientific_journal-4501 33 16 in in ADP american_scientific_journal-4501 33 17 [ [ PUNCT american_scientific_journal-4501 33 18 6 6 NUM american_scientific_journal-4501 33 19 - - SYM american_scientific_journal-4501 33 20 10 10 NUM american_scientific_journal-4501 33 21 ] ] PUNCT american_scientific_journal-4501 33 22 . . PUNCT american_scientific_journal-4501 34 1 in in ADP american_scientific_journal-4501 34 2 [ [ X american_scientific_journal-4501 34 3 10 10 NUM american_scientific_journal-4501 34 4 ] ] PUNCT american_scientific_journal-4501 34 5 , , PUNCT american_scientific_journal-4501 34 6 the the DET american_scientific_journal-4501 34 7 efficient efficient ADJ american_scientific_journal-4501 34 8 mom mom NOUN american_scientific_journal-4501 34 9 / / SYM american_scientific_journal-4501 34 10 ga ga PROPN american_scientific_journal-4501 34 11 array array NOUN american_scientific_journal-4501 34 12 synthesis synthesis NOUN american_scientific_journal-4501 34 13 technique technique NOUN american_scientific_journal-4501 34 14 was be AUX american_scientific_journal-4501 34 15 introduced introduce VERB american_scientific_journal-4501 34 16 for for ADP american_scientific_journal-4501 34 17 arbitrarily arbitrarily ADV american_scientific_journal-4501 34 18 shaped shape VERB american_scientific_journal-4501 34 19 patterns pattern NOUN american_scientific_journal-4501 34 20 synthesis synthesis NOUN american_scientific_journal-4501 34 21 using use VERB american_scientific_journal-4501 34 22 reduced reduce VERB american_scientific_journal-4501 34 23 number number NOUN american_scientific_journal-4501 34 24 of of ADP american_scientific_journal-4501 34 25 antenna antenna NOUN american_scientific_journal-4501 34 26 elements element NOUN american_scientific_journal-4501 34 27 . . PUNCT american_scientific_journal-4501 35 1 in in ADP american_scientific_journal-4501 35 2 this this DET american_scientific_journal-4501 35 3 work work NOUN american_scientific_journal-4501 35 4 , , PUNCT american_scientific_journal-4501 35 5 the the DET american_scientific_journal-4501 35 6 reverse reverse ADJ american_scientific_journal-4501 35 7 process process NOUN american_scientific_journal-4501 35 8 is be AUX american_scientific_journal-4501 35 9 executed execute VERB american_scientific_journal-4501 35 10 where where SCONJ american_scientific_journal-4501 35 11 the the DET american_scientific_journal-4501 35 12 existing exist VERB american_scientific_journal-4501 35 13 few few ADJ american_scientific_journal-4501 35 14 number number NOUN american_scientific_journal-4501 35 15 of of ADP american_scientific_journal-4501 35 16 antenna antenna NOUN american_scientific_journal-4501 35 17 elements element NOUN american_scientific_journal-4501 35 18 is be AUX american_scientific_journal-4501 35 19 used use VERB american_scientific_journal-4501 35 20 to to PART american_scientific_journal-4501 35 21 synthesize synthesize VERB american_scientific_journal-4501 35 22 larger large ADJ american_scientific_journal-4501 35 23 size size NOUN american_scientific_journal-4501 35 24 antenna antenna NOUN american_scientific_journal-4501 35 25 arrays array VERB american_scientific_journal-4501 35 26 with with ADP american_scientific_journal-4501 35 27 higher high ADJ american_scientific_journal-4501 35 28 gains gain NOUN american_scientific_journal-4501 35 29 . . PUNCT american_scientific_journal-4501 36 1 this this DET american_scientific_journal-4501 36 2 synthesis synthesis NOUN american_scientific_journal-4501 36 3 is be AUX american_scientific_journal-4501 36 4 intended intend VERB american_scientific_journal-4501 36 5 to to PART american_scientific_journal-4501 36 6 reduce reduce VERB american_scientific_journal-4501 36 7 the the DET american_scientific_journal-4501 36 8 ber ber NOUN american_scientific_journal-4501 36 9 by by ADP american_scientific_journal-4501 36 10 increasing increase VERB american_scientific_journal-4501 36 11 the the DET american_scientific_journal-4501 36 12 signal signal NOUN american_scientific_journal-4501 36 13 to to PART american_scientific_journal-4501 36 14 noise noise VERB american_scientific_journal-4501 36 15 ratio ratio NOUN american_scientific_journal-4501 36 16 of of ADP american_scientific_journal-4501 36 17 the the DET american_scientific_journal-4501 36 18 mimo mimo PROPN american_scientific_journal-4501 36 19 signal signal PROPN american_scientific_journal-4501 36 20 via via ADP american_scientific_journal-4501 36 21 increasing increase VERB american_scientific_journal-4501 36 22 the the DET american_scientific_journal-4501 36 23 array array NOUN american_scientific_journal-4501 36 24 gain gain NOUN american_scientific_journal-4501 36 25 . . PUNCT american_scientific_journal-4501 37 1 2 2 X american_scientific_journal-4501 37 2 . . X american_scientific_journal-4501 37 3 problem problem NOUN american_scientific_journal-4501 37 4 formulation formulation NOUN american_scientific_journal-4501 37 5 consider consider VERB american_scientific_journal-4501 37 6 an an DET american_scientific_journal-4501 37 7 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 ADJ american_scientific_journal-4501 37 8 Γ— Γ— NOUN american_scientific_journal-4501 37 9 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 PROPN american_scientific_journal-4501 37 10 mimo mimo PROPN american_scientific_journal-4501 37 11 model model PROPN american_scientific_journal-4501 37 12 as as SCONJ american_scientific_journal-4501 37 13 shown show VERB american_scientific_journal-4501 37 14 in in ADP american_scientific_journal-4501 37 15 figure figure NOUN american_scientific_journal-4501 37 16 ( ( PUNCT american_scientific_journal-4501 37 17 1 1 NUM american_scientific_journal-4501 37 18 ) ) PUNCT american_scientific_journal-4501 37 19 where where SCONJ american_scientific_journal-4501 37 20 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 37 21 and and CCONJ american_scientific_journal-4501 37 22 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 37 23 are be AUX american_scientific_journal-4501 37 24 the the DET american_scientific_journal-4501 37 25 number number NOUN american_scientific_journal-4501 37 26 of of ADP american_scientific_journal-4501 37 27 transmitting transmit VERB american_scientific_journal-4501 37 28 and and CCONJ american_scientific_journal-4501 37 29 receiving receive VERB american_scientific_journal-4501 37 30 antennas antenna NOUN american_scientific_journal-4501 37 31 respectively respectively ADV american_scientific_journal-4501 37 32 . . PUNCT american_scientific_journal-4501 38 1 the the DET american_scientific_journal-4501 38 2 antenna antenna NOUN american_scientific_journal-4501 38 3 elements element NOUN american_scientific_journal-4501 38 4 of of ADP american_scientific_journal-4501 38 5 the the DET american_scientific_journal-4501 38 6 transmitting transmitting NOUN american_scientific_journal-4501 38 7 and and CCONJ american_scientific_journal-4501 38 8 receiving receiving NOUN american_scientific_journal-4501 38 9 arrays array NOUN american_scientific_journal-4501 38 10 are be AUX american_scientific_journal-4501 38 11 aligned align VERB american_scientific_journal-4501 38 12 linearly linearly ADV american_scientific_journal-4501 38 13 with with ADP american_scientific_journal-4501 38 14 uniform uniform NOUN american_scientific_journal-4501 38 15 spacing space VERB american_scientific_journal-4501 38 16 𝑑𝑑 𝑑𝑑 NOUN american_scientific_journal-4501 39 1 = = SYM american_scientific_journal-4501 39 2 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-4501 39 3 2⁄ 2⁄ NUM american_scientific_journal-4501 39 4 . . PUNCT american_scientific_journal-4501 40 1 the the DET american_scientific_journal-4501 40 2 received receive VERB american_scientific_journal-4501 40 3 signal signal NOUN american_scientific_journal-4501 40 4 𝑦𝑦 𝑦𝑦 AUX american_scientific_journal-4501 40 5 is be AUX american_scientific_journal-4501 40 6 given give VERB american_scientific_journal-4501 40 7 by by ADP american_scientific_journal-4501 40 8 [ [ X american_scientific_journal-4501 40 9 1 1 NUM american_scientific_journal-4501 40 10 ] ] PUNCT american_scientific_journal-4501 40 11 . . PUNCT american_scientific_journal-4501 41 1 𝑦𝑦 𝑦𝑦 PROPN american_scientific_journal-4501 41 2 = = SYM american_scientific_journal-4501 41 3 𝐻𝐻𝐻𝐻 𝐻𝐻𝐻𝐻 PROPN american_scientific_journal-4501 41 4 + + CCONJ american_scientific_journal-4501 41 5 𝑣𝑣 𝑣𝑣 X american_scientific_journal-4501 41 6 ( ( PUNCT american_scientific_journal-4501 41 7 1 1 X american_scientific_journal-4501 41 8 ) ) PUNCT american_scientific_journal-4501 41 9 american american ADJ american_scientific_journal-4501 41 10 scientific scientific ADJ american_scientific_journal-4501 41 11 research research NOUN american_scientific_journal-4501 41 12 journal journal NOUN american_scientific_journal-4501 41 13 for for ADP american_scientific_journal-4501 41 14 engineering engineering NOUN american_scientific_journal-4501 41 15 , , PUNCT american_scientific_journal-4501 41 16 technology technology NOUN american_scientific_journal-4501 41 17 , , PUNCT american_scientific_journal-4501 41 18 and and CCONJ american_scientific_journal-4501 41 19 sciences science NOUN american_scientific_journal-4501 41 20 ( ( PUNCT american_scientific_journal-4501 41 21 asrjets asrjet NOUN american_scientific_journal-4501 41 22 ) ) PUNCT american_scientific_journal-4501 41 23 ( ( PUNCT american_scientific_journal-4501 41 24 2018 2018 NUM american_scientific_journal-4501 41 25 ) ) PUNCT american_scientific_journal-4501 41 26 volume volume NOUN american_scientific_journal-4501 41 27 49 49 NUM american_scientific_journal-4501 41 28 , , PUNCT american_scientific_journal-4501 41 29 no no DET american_scientific_journal-4501 41 30 1 1 NUM american_scientific_journal-4501 41 31 , , PUNCT american_scientific_journal-4501 41 32 pp pp ADV american_scientific_journal-4501 41 33 95 95 NUM american_scientific_journal-4501 41 34 - - SYM american_scientific_journal-4501 41 35 105 105 NUM american_scientific_journal-4501 41 36 97 97 NUM american_scientific_journal-4501 41 37 where where SCONJ american_scientific_journal-4501 41 38 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 41 39 is be AUX american_scientific_journal-4501 41 40 the the DET american_scientific_journal-4501 41 41 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 41 42 Γ— Γ— NOUN american_scientific_journal-4501 41 43 1 1 NUM american_scientific_journal-4501 41 44 baseband baseband NOUN american_scientific_journal-4501 41 45 signal signal PROPN american_scientific_journal-4501 41 46 vector vector NOUN american_scientific_journal-4501 41 47 transmitted transmit VERB american_scientific_journal-4501 41 48 during during ADP american_scientific_journal-4501 41 49 each each DET american_scientific_journal-4501 41 50 symbol symbol NOUN american_scientific_journal-4501 41 51 period period NOUN american_scientific_journal-4501 41 52 formed form VERB american_scientific_journal-4501 41 53 by by ADP american_scientific_journal-4501 41 54 the the DET american_scientific_journal-4501 41 55 antenna antenna NOUN american_scientific_journal-4501 41 56 elements element NOUN american_scientific_journal-4501 41 57 . . PUNCT american_scientific_journal-4501 42 1 𝑦𝑦 𝑦𝑦 AUX american_scientific_journal-4501 42 2 denotes denote VERB american_scientific_journal-4501 42 3 the the DET american_scientific_journal-4501 42 4 received receive VERB american_scientific_journal-4501 42 5 symbol symbol NOUN american_scientific_journal-4501 42 6 vector vector NOUN american_scientific_journal-4501 42 7 with with ADP american_scientific_journal-4501 42 8 dimension dimension NOUN american_scientific_journal-4501 42 9 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 42 10 Γ— Γ— NOUN american_scientific_journal-4501 42 11 1 1 NUM american_scientific_journal-4501 42 12 where where SCONJ american_scientific_journal-4501 42 13 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 ADP american_scientific_journal-4501 42 14 ≀ ≀ ADJ american_scientific_journal-4501 42 15 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 42 16 . . PUNCT american_scientific_journal-4501 43 1 𝑣𝑣 𝑣𝑣 X american_scientific_journal-4501 43 2 is be AUX american_scientific_journal-4501 43 3 a a DET american_scientific_journal-4501 43 4 complex complex ADJ american_scientific_journal-4501 43 5 white white ADJ american_scientific_journal-4501 43 6 gaussian gaussian NOUN american_scientific_journal-4501 43 7 noise noise NOUN american_scientific_journal-4501 43 8 vector vector NOUN american_scientific_journal-4501 43 9 of of ADP american_scientific_journal-4501 43 10 dimensions dimension NOUN american_scientific_journal-4501 43 11 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 43 12 Γ— Γ— NOUN american_scientific_journal-4501 43 13 1 1 NUM american_scientific_journal-4501 43 14 with with ADP american_scientific_journal-4501 43 15 zero zero NUM american_scientific_journal-4501 43 16 mean mean NOUN american_scientific_journal-4501 43 17 and and CCONJ american_scientific_journal-4501 43 18 variance variance NOUN american_scientific_journal-4501 43 19 𝜎𝜎2 𝜎𝜎2 PROPN american_scientific_journal-4501 43 20 . . PUNCT american_scientific_journal-4501 44 1 the the DET american_scientific_journal-4501 44 2 channel channel NOUN american_scientific_journal-4501 44 3 matrix matrix NOUN american_scientific_journal-4501 44 4 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 44 5 is be AUX american_scientific_journal-4501 44 6 a a DET american_scientific_journal-4501 44 7 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 44 8 Γ— Γ— NOUN american_scientific_journal-4501 44 9 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 44 10 matrix matrix NOUN american_scientific_journal-4501 44 11 representing represent VERB american_scientific_journal-4501 44 12 the the DET american_scientific_journal-4501 44 13 scattering scattering ADJ american_scientific_journal-4501 44 14 effects effect NOUN american_scientific_journal-4501 44 15 of of ADP american_scientific_journal-4501 44 16 the the DET american_scientific_journal-4501 44 17 channel channel NOUN american_scientific_journal-4501 44 18 . . PUNCT american_scientific_journal-4501 45 1 for for ADP american_scientific_journal-4501 45 2 simplicity simplicity NOUN american_scientific_journal-4501 45 3 the the DET american_scientific_journal-4501 45 4 channel channel NOUN american_scientific_journal-4501 45 5 matrix matrix NOUN american_scientific_journal-4501 45 6 𝐻𝐻 𝐻𝐻 NOUN american_scientific_journal-4501 45 7 is be AUX american_scientific_journal-4501 45 8 considered consider VERB american_scientific_journal-4501 45 9 to to PART american_scientific_journal-4501 45 10 be be AUX american_scientific_journal-4501 45 11 known know VERB american_scientific_journal-4501 45 12 at at ADP american_scientific_journal-4501 45 13 the the DET american_scientific_journal-4501 45 14 receiver receiver NOUN american_scientific_journal-4501 45 15 . . PUNCT american_scientific_journal-4501 46 1 the the DET american_scientific_journal-4501 46 2 main main ADJ american_scientific_journal-4501 46 3 drawback drawback NOUN american_scientific_journal-4501 46 4 of of ADP american_scientific_journal-4501 46 5 this this DET american_scientific_journal-4501 46 6 system system NOUN american_scientific_journal-4501 46 7 is be AUX american_scientific_journal-4501 46 8 that that SCONJ american_scientific_journal-4501 46 9 the the DET american_scientific_journal-4501 46 10 utilized utilize VERB american_scientific_journal-4501 46 11 linear linear NOUN american_scientific_journal-4501 46 12 antenna antenna NOUN american_scientific_journal-4501 46 13 arrays array VERB american_scientific_journal-4501 46 14 suffer suffer VERB american_scientific_journal-4501 46 15 from from ADP american_scientific_journal-4501 46 16 their their PRON american_scientific_journal-4501 46 17 limited limit VERB american_scientific_journal-4501 46 18 array array NOUN american_scientific_journal-4501 46 19 gains gain NOUN american_scientific_journal-4501 46 20 . . PUNCT american_scientific_journal-4501 47 1 traditionally traditionally ADV american_scientific_journal-4501 47 2 to to PART american_scientific_journal-4501 47 3 increase increase VERB american_scientific_journal-4501 47 4 the the DET american_scientific_journal-4501 47 5 array array NOUN american_scientific_journal-4501 47 6 gain gain NOUN american_scientific_journal-4501 47 7 , , PUNCT american_scientific_journal-4501 47 8 the the DET american_scientific_journal-4501 47 9 array array NOUN american_scientific_journal-4501 47 10 size size NOUN american_scientific_journal-4501 47 11 or or CCONJ american_scientific_journal-4501 47 12 number number NOUN american_scientific_journal-4501 47 13 of of ADP american_scientific_journal-4501 47 14 antenna antenna NOUN american_scientific_journal-4501 47 15 elements element NOUN american_scientific_journal-4501 47 16 should should AUX american_scientific_journal-4501 47 17 be be AUX american_scientific_journal-4501 47 18 increased increase VERB american_scientific_journal-4501 47 19 . . PUNCT american_scientific_journal-4501 48 1 consequently consequently ADV american_scientific_journal-4501 48 2 , , PUNCT american_scientific_journal-4501 48 3 the the DET american_scientific_journal-4501 48 4 number number NOUN american_scientific_journal-4501 48 5 of of ADP american_scientific_journal-4501 48 6 rf rf NOUN american_scientific_journal-4501 48 7 chains chain NOUN american_scientific_journal-4501 48 8 , , PUNCT american_scientific_journal-4501 48 9 number number NOUN american_scientific_journal-4501 48 10 of of ADP american_scientific_journal-4501 48 11 data datum NOUN american_scientific_journal-4501 48 12 streams stream NOUN american_scientific_journal-4501 48 13 , , PUNCT american_scientific_journal-4501 48 14 system system NOUN american_scientific_journal-4501 48 15 complexity complexity NOUN american_scientific_journal-4501 48 16 , , PUNCT american_scientific_journal-4501 48 17 and and CCONJ american_scientific_journal-4501 48 18 cost cost NOUN american_scientific_journal-4501 48 19 are be AUX american_scientific_journal-4501 48 20 increased increase VERB american_scientific_journal-4501 48 21 . . PUNCT american_scientific_journal-4501 49 1 it it PRON american_scientific_journal-4501 49 2 is be AUX american_scientific_journal-4501 49 3 required require VERB american_scientific_journal-4501 49 4 to to PART american_scientific_journal-4501 49 5 find find VERB american_scientific_journal-4501 49 6 a a DET american_scientific_journal-4501 49 7 promising promising ADJ american_scientific_journal-4501 49 8 solution solution NOUN american_scientific_journal-4501 49 9 to to PART american_scientific_journal-4501 49 10 achieve achieve VERB american_scientific_journal-4501 49 11 higher high ADJ american_scientific_journal-4501 49 12 array array NOUN american_scientific_journal-4501 49 13 gains gain NOUN american_scientific_journal-4501 49 14 without without ADP american_scientific_journal-4501 49 15 changing change VERB american_scientific_journal-4501 49 16 the the DET american_scientific_journal-4501 49 17 rf rf ADJ american_scientific_journal-4501 49 18 front front ADJ american_scientific_journal-4501 49 19 end end NOUN american_scientific_journal-4501 49 20 structure structure NOUN american_scientific_journal-4501 49 21 of of ADP american_scientific_journal-4501 49 22 the the DET american_scientific_journal-4501 49 23 existing exist VERB american_scientific_journal-4501 49 24 mimo mimo PROPN american_scientific_journal-4501 49 25 system system NOUN american_scientific_journal-4501 49 26 . . PUNCT american_scientific_journal-4501 50 1 figure figure VERB american_scientific_journal-4501 50 2 1 1 NUM american_scientific_journal-4501 50 3 : : PUNCT american_scientific_journal-4501 50 4 traditional traditional ADJ american_scientific_journal-4501 50 5 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 ADJ american_scientific_journal-4501 50 6 Γ— Γ— NOUN american_scientific_journal-4501 50 7 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 50 8 mimo mimo PROPN american_scientific_journal-4501 50 9 system system PROPN american_scientific_journal-4501 50 10 model model NOUN american_scientific_journal-4501 50 11 . . PUNCT american_scientific_journal-4501 51 1 3 3 X american_scientific_journal-4501 51 2 . . NUM american_scientific_journal-4501 51 3 proposed propose VERB american_scientific_journal-4501 51 4 mimo mimo PROPN american_scientific_journal-4501 51 5 signal signal PROPN american_scientific_journal-4501 51 6 model model PROPN american_scientific_journal-4501 51 7 the the DET american_scientific_journal-4501 51 8 traditional traditional ADJ american_scientific_journal-4501 51 9 mimo mimo PROPN american_scientific_journal-4501 51 10 system system NOUN american_scientific_journal-4501 51 11 employs employ VERB american_scientific_journal-4501 51 12 uniform uniform ADJ american_scientific_journal-4501 51 13 linear linear ADJ american_scientific_journal-4501 51 14 antenna antenna NOUN american_scientific_journal-4501 51 15 arrays array VERB american_scientific_journal-4501 51 16 at at ADP american_scientific_journal-4501 51 17 both both PRON american_scientific_journal-4501 51 18 transmitting transmit VERB american_scientific_journal-4501 51 19 and and CCONJ american_scientific_journal-4501 51 20 receiving receive VERB american_scientific_journal-4501 51 21 sides side NOUN american_scientific_journal-4501 51 22 as as SCONJ american_scientific_journal-4501 51 23 shown show VERB american_scientific_journal-4501 51 24 in in ADP american_scientific_journal-4501 51 25 figure figure NOUN american_scientific_journal-4501 51 26 ( ( PUNCT american_scientific_journal-4501 51 27 1 1 NUM american_scientific_journal-4501 51 28 ) ) PUNCT american_scientific_journal-4501 51 29 . . PUNCT american_scientific_journal-4501 52 1 to to PART american_scientific_journal-4501 52 2 mitigate mitigate VERB american_scientific_journal-4501 52 3 the the DET american_scientific_journal-4501 52 4 aforementioned aforementione VERB american_scientific_journal-4501 52 5 problems problem NOUN american_scientific_journal-4501 52 6 of of ADP american_scientific_journal-4501 52 7 the the DET american_scientific_journal-4501 52 8 traditional traditional ADJ american_scientific_journal-4501 52 9 mimo mimo PROPN american_scientific_journal-4501 52 10 , , PUNCT american_scientific_journal-4501 52 11 the the DET american_scientific_journal-4501 52 12 limited limited ADJ american_scientific_journal-4501 52 13 gain gain NOUN american_scientific_journal-4501 52 14 ula ula PROPN american_scientific_journal-4501 52 15 is be AUX american_scientific_journal-4501 52 16 replaced replace VERB american_scientific_journal-4501 52 17 by by ADP american_scientific_journal-4501 52 18 a a DET american_scientific_journal-4501 52 19 synthesized synthesize VERB american_scientific_journal-4501 52 20 higher high ADJ american_scientific_journal-4501 52 21 gain gain NOUN american_scientific_journal-4501 52 22 non non ADJ american_scientific_journal-4501 52 23 - - ADJ american_scientific_journal-4501 52 24 uniform uniform ADJ american_scientific_journal-4501 52 25 feeding feeding NOUN american_scientific_journal-4501 52 26 linear linear ADJ american_scientific_journal-4501 52 27 antenna antenna NOUN american_scientific_journal-4501 52 28 array array NOUN american_scientific_journal-4501 52 29 using use VERB american_scientific_journal-4501 52 30 the the DET american_scientific_journal-4501 52 31 same same ADJ american_scientific_journal-4501 52 32 number number NOUN american_scientific_journal-4501 52 33 of of ADP american_scientific_journal-4501 52 34 antenna antenna NOUN american_scientific_journal-4501 52 35 elements element NOUN american_scientific_journal-4501 52 36 , , PUNCT american_scientific_journal-4501 52 37 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 52 38 and and CCONJ american_scientific_journal-4501 52 39 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 52 40 , , PUNCT american_scientific_journal-4501 52 41 and and CCONJ american_scientific_journal-4501 52 42 the the DET american_scientific_journal-4501 52 43 same same ADJ american_scientific_journal-4501 52 44 number number NOUN american_scientific_journal-4501 52 45 of of ADP american_scientific_journal-4501 52 46 data datum NOUN american_scientific_journal-4501 52 47 streams stream NOUN american_scientific_journal-4501 52 48 which which PRON american_scientific_journal-4501 52 49 is be AUX american_scientific_journal-4501 52 50 given give VERB american_scientific_journal-4501 52 51 by by ADP american_scientific_journal-4501 52 52 : : PUNCT american_scientific_journal-4501 53 1 𝑁𝑁𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 𝑁𝑁𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠 PROPN american_scientific_journal-4501 53 2 = = SYM american_scientific_journal-4501 53 3 min min NOUN american_scientific_journal-4501 53 4 ( ( PUNCT american_scientific_journal-4501 53 5 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 53 6 , , PUNCT american_scientific_journal-4501 53 7 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 53 8 ) ) PUNCT american_scientific_journal-4501 53 9 ( ( PUNCT american_scientific_journal-4501 53 10 2 2 X american_scientific_journal-4501 53 11 ) ) PUNCT american_scientific_journal-4501 53 12 when when SCONJ american_scientific_journal-4501 53 13 applying apply VERB american_scientific_journal-4501 53 14 array array NOUN american_scientific_journal-4501 53 15 synthesis synthesis NOUN american_scientific_journal-4501 53 16 , , PUNCT american_scientific_journal-4501 53 17 the the DET american_scientific_journal-4501 53 18 excitation excitation NOUN american_scientific_journal-4501 53 19 coefficients coefficient NOUN american_scientific_journal-4501 53 20 are be AUX american_scientific_journal-4501 53 21 no no ADV american_scientific_journal-4501 53 22 longer long ADV american_scientific_journal-4501 53 23 uniform uniform ADJ american_scientific_journal-4501 53 24 . . PUNCT american_scientific_journal-4501 54 1 in in ADP american_scientific_journal-4501 54 2 this this DET american_scientific_journal-4501 54 3 case case NOUN american_scientific_journal-4501 54 4 , , PUNCT american_scientific_journal-4501 54 5 the the DET american_scientific_journal-4501 54 6 mimo mimo PROPN american_scientific_journal-4501 54 7 system system NOUN american_scientific_journal-4501 54 8 model model NOUN american_scientific_journal-4501 54 9 can can AUX american_scientific_journal-4501 54 10 be be AUX american_scientific_journal-4501 54 11 redrawn redrawn VERB american_scientific_journal-4501 54 12 as as SCONJ american_scientific_journal-4501 54 13 shown show VERB american_scientific_journal-4501 54 14 in in ADP american_scientific_journal-4501 54 15 figure figure NOUN american_scientific_journal-4501 54 16 ( ( PUNCT american_scientific_journal-4501 54 17 2 2 NUM american_scientific_journal-4501 54 18 ) ) PUNCT american_scientific_journal-4501 54 19 . . PUNCT american_scientific_journal-4501 55 1 for for ADP american_scientific_journal-4501 55 2 this this DET american_scientific_journal-4501 55 3 purpose purpose NOUN american_scientific_journal-4501 55 4 , , PUNCT american_scientific_journal-4501 55 5 the the DET american_scientific_journal-4501 55 6 mom mom NOUN american_scientific_journal-4501 55 7 / / SYM american_scientific_journal-4501 55 8 ga ga PROPN american_scientific_journal-4501 55 9 array array NOUN american_scientific_journal-4501 55 10 synthesis synthesis NOUN american_scientific_journal-4501 55 11 technique technique NOUN american_scientific_journal-4501 55 12 introduced introduce VERB american_scientific_journal-4501 55 13 in in ADP american_scientific_journal-4501 55 14 [ [ X american_scientific_journal-4501 55 15 10 10 NUM american_scientific_journal-4501 55 16 ] ] PUNCT american_scientific_journal-4501 55 17 is be AUX american_scientific_journal-4501 55 18 used use VERB american_scientific_journal-4501 55 19 to to PART american_scientific_journal-4501 55 20 synthesis synthesis VERB american_scientific_journal-4501 55 21 the the DET american_scientific_journal-4501 55 22 radiation radiation NOUN american_scientific_journal-4501 55 23 pattern pattern NOUN american_scientific_journal-4501 55 24 of of ADP american_scientific_journal-4501 55 25 a a DET american_scientific_journal-4501 55 26 chosen choose VERB american_scientific_journal-4501 55 27 large large ADJ american_scientific_journal-4501 55 28 size size NOUN american_scientific_journal-4501 55 29 antenna antenna NOUN american_scientific_journal-4501 55 30 array array NOUN american_scientific_journal-4501 55 31 with with ADP american_scientific_journal-4501 55 32 reduced reduced ADJ american_scientific_journal-4501 55 33 number number NOUN american_scientific_journal-4501 55 34 of of ADP american_scientific_journal-4501 55 35 antenna antenna NOUN american_scientific_journal-4501 55 36 elements element NOUN american_scientific_journal-4501 55 37 which which PRON american_scientific_journal-4501 55 38 equals equal VERB american_scientific_journal-4501 55 39 the the DET american_scientific_journal-4501 55 40 number number NOUN american_scientific_journal-4501 55 41 of of ADP american_scientific_journal-4501 55 42 antenna antenna NOUN american_scientific_journal-4501 55 43 elements element NOUN american_scientific_journal-4501 55 44 of of ADP american_scientific_journal-4501 55 45 the the DET american_scientific_journal-4501 55 46 traditional traditional ADJ american_scientific_journal-4501 55 47 mimo mimo PROPN american_scientific_journal-4501 55 48 system system NOUN american_scientific_journal-4501 55 49 as as SCONJ american_scientific_journal-4501 55 50 shown show VERB american_scientific_journal-4501 55 51 in in ADP american_scientific_journal-4501 55 52 figure figure NOUN american_scientific_journal-4501 55 53 ( ( PUNCT american_scientific_journal-4501 55 54 2 2 NUM american_scientific_journal-4501 55 55 ) ) PUNCT american_scientific_journal-4501 55 56 . . PUNCT american_scientific_journal-4501 56 1 the the DET american_scientific_journal-4501 56 2 original original ADJ american_scientific_journal-4501 56 3 large large ADJ american_scientific_journal-4501 56 4 size size NOUN american_scientific_journal-4501 56 5 array array NOUN american_scientific_journal-4501 56 6 and and CCONJ american_scientific_journal-4501 56 7 the the DET american_scientific_journal-4501 56 8 synthesized synthesize VERB american_scientific_journal-4501 56 9 array array NOUN american_scientific_journal-4501 56 10 patterns pattern NOUN american_scientific_journal-4501 56 11 have have VERB american_scientific_journal-4501 56 12 almost almost ADV american_scientific_journal-4501 56 13 the the DET american_scientific_journal-4501 56 14 same same ADJ american_scientific_journal-4501 56 15 characteristics characteristic NOUN american_scientific_journal-4501 56 16 such such ADJ american_scientific_journal-4501 56 17 as as ADP american_scientific_journal-4501 56 18 side side NOUN american_scientific_journal-4501 56 19 lobe lobe NOUN american_scientific_journal-4501 56 20 level level NOUN american_scientific_journal-4501 56 21 ( ( PUNCT american_scientific_journal-4501 56 22 sll sll PROPN american_scientific_journal-4501 56 23 ) ) PUNCT american_scientific_journal-4501 56 24 , , PUNCT american_scientific_journal-4501 56 25 half half ADJ american_scientific_journal-4501 56 26 power power NOUN american_scientific_journal-4501 56 27 beamwidth beamwidth NOUN american_scientific_journal-4501 56 28 ( ( PUNCT american_scientific_journal-4501 56 29 hpbw hpbw PROPN american_scientific_journal-4501 56 30 ) ) PUNCT american_scientific_journal-4501 56 31 , , PUNCT american_scientific_journal-4501 56 32 array array VERB american_scientific_journal-4501 56 33 gain gain NOUN american_scientific_journal-4501 56 34 , , PUNCT american_scientific_journal-4501 56 35 and and CCONJ american_scientific_journal-4501 56 36 directivity directivity NOUN american_scientific_journal-4501 56 37 . . PUNCT american_scientific_journal-4501 57 1 the the DET american_scientific_journal-4501 57 2 array array NOUN american_scientific_journal-4501 57 3 factor factor NOUN american_scientific_journal-4501 57 4 of of ADP american_scientific_journal-4501 57 5 original original ADJ american_scientific_journal-4501 57 6 large large ADJ american_scientific_journal-4501 57 7 size size NOUN american_scientific_journal-4501 57 8 array array PROPN american_scientific_journal-4501 57 9 𝐴𝐴𝐴𝐴(πœƒπœƒ 𝐴𝐴𝐴𝐴(πœƒπœƒ PROPN american_scientific_journal-4501 57 10 ) ) PUNCT american_scientific_journal-4501 57 11 and and CCONJ american_scientific_journal-4501 57 12 the the DET american_scientific_journal-4501 57 13 array array NOUN american_scientific_journal-4501 57 14 factor factor NOUN american_scientific_journal-4501 57 15 of of ADP american_scientific_journal-4501 57 16 the the DET american_scientific_journal-4501 57 17 synthesized synthesize VERB american_scientific_journal-4501 57 18 array array NOUN american_scientific_journal-4501 57 19 𝐴𝐴𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠(πœƒπœƒ 𝐴𝐴𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠(πœƒπœƒ NOUN american_scientific_journal-4501 57 20 ) ) PUNCT american_scientific_journal-4501 57 21 should should AUX american_scientific_journal-4501 57 22 be be AUX american_scientific_journal-4501 57 23 american american ADJ american_scientific_journal-4501 57 24 scientific scientific ADJ american_scientific_journal-4501 57 25 research research NOUN american_scientific_journal-4501 57 26 journal journal NOUN american_scientific_journal-4501 57 27 for for ADP american_scientific_journal-4501 57 28 engineering engineering NOUN american_scientific_journal-4501 57 29 , , PUNCT american_scientific_journal-4501 57 30 technology technology NOUN american_scientific_journal-4501 57 31 , , PUNCT american_scientific_journal-4501 57 32 and and CCONJ american_scientific_journal-4501 57 33 sciences science NOUN american_scientific_journal-4501 57 34 ( ( PUNCT american_scientific_journal-4501 57 35 asrjets asrjet NOUN american_scientific_journal-4501 57 36 ) ) PUNCT american_scientific_journal-4501 57 37 ( ( PUNCT american_scientific_journal-4501 57 38 2018 2018 NUM american_scientific_journal-4501 57 39 ) ) PUNCT american_scientific_journal-4501 57 40 volume volume NOUN american_scientific_journal-4501 57 41 49 49 NUM american_scientific_journal-4501 57 42 , , PUNCT american_scientific_journal-4501 57 43 no no DET american_scientific_journal-4501 57 44 1 1 NUM american_scientific_journal-4501 57 45 , , PUNCT american_scientific_journal-4501 57 46 pp pp ADV american_scientific_journal-4501 57 47 95 95 NUM american_scientific_journal-4501 57 48 - - SYM american_scientific_journal-4501 57 49 105 105 NUM american_scientific_journal-4501 57 50 98 98 NUM american_scientific_journal-4501 57 51 close close ADV american_scientific_journal-4501 57 52 to to ADP american_scientific_journal-4501 57 53 each each DET american_scientific_journal-4501 57 54 other other ADJ american_scientific_journal-4501 57 55 which which PRON american_scientific_journal-4501 57 56 can can AUX american_scientific_journal-4501 57 57 be be AUX american_scientific_journal-4501 57 58 expressed express VERB american_scientific_journal-4501 57 59 as as SCONJ american_scientific_journal-4501 57 60 follows follow VERB american_scientific_journal-4501 57 61 : : PUNCT american_scientific_journal-4501 57 62 𝐴𝐴𝐴𝐴(πœƒπœƒ 𝐴𝐴𝐴𝐴(πœƒπœƒ NOUN american_scientific_journal-4501 57 63 ) ) PUNCT american_scientific_journal-4501 58 1 β‰ˆ β‰ˆ PROPN american_scientific_journal-4501 58 2 𝐴𝐴𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠(πœƒπœƒ 𝐴𝐴𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠(πœƒπœƒ PROPN american_scientific_journal-4501 58 3 ) ) PUNCT american_scientific_journal-4501 58 4 ( ( PUNCT american_scientific_journal-4501 58 5 3 3 X american_scientific_journal-4501 58 6 ) ) PUNCT american_scientific_journal-4501 58 7 equation equation NOUN american_scientific_journal-4501 58 8 ( ( PUNCT american_scientific_journal-4501 58 9 3 3 X american_scientific_journal-4501 58 10 ) ) PUNCT american_scientific_journal-4501 58 11 can can AUX american_scientific_journal-4501 58 12 be be AUX american_scientific_journal-4501 58 13 written write VERB american_scientific_journal-4501 58 14 as as ADP american_scientific_journal-4501 58 15 [ [ X american_scientific_journal-4501 58 16 10 10 NUM american_scientific_journal-4501 58 17 ] ] PUNCT american_scientific_journal-4501 58 18 βˆ‘ βˆ‘ PUNCT american_scientific_journal-4501 58 19 π‘Žπ‘Žπ‘ π‘ π‘€π‘€βˆ’1 π‘Žπ‘Žπ‘ π‘ π‘€π‘€βˆ’1 PROPN american_scientific_journal-4501 58 20 𝑠𝑠=0 𝑠𝑠=0 PROPN american_scientific_journal-4501 58 21 𝑒𝑒𝑗𝑗𝑗𝑗𝑠𝑠𝑗𝑗 𝑒𝑒𝑗𝑗𝑗𝑗𝑠𝑠𝑗𝑗 PROPN american_scientific_journal-4501 58 22 cos(πœƒπœƒ cos(πœƒπœƒ NUM american_scientific_journal-4501 58 23 ) ) PUNCT american_scientific_journal-4501 59 1 β‰ˆ β‰ˆ NUM american_scientific_journal-4501 59 2 βˆ‘ βˆ‘ PUNCT american_scientific_journal-4501 59 3 π‘Žπ‘Žπ‘ π‘  π‘Žπ‘Žπ‘ π‘  VERB american_scientific_journal-4501 59 4 π‘π‘π‘‡π‘‡βˆ’1 π‘π‘π‘‡π‘‡βˆ’1 X american_scientific_journal-4501 59 5 𝑠𝑠=0 𝑠𝑠=0 PROPN american_scientific_journal-4501 59 6 𝑒𝑒𝑗𝑗𝑗𝑗𝑠𝑠𝑗𝑗𝑠𝑠 𝑒𝑒𝑗𝑗𝑗𝑗𝑠𝑠𝑗𝑗𝑠𝑠 ADJ american_scientific_journal-4501 59 7 cos(πœƒπœƒ cos(πœƒπœƒ NOUN american_scientific_journal-4501 59 8 ) ) PUNCT american_scientific_journal-4501 59 9 ( ( PUNCT american_scientific_journal-4501 59 10 4 4 X american_scientific_journal-4501 59 11 ) ) PUNCT american_scientific_journal-4501 59 12 where where SCONJ american_scientific_journal-4501 59 13 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 59 14 is be AUX american_scientific_journal-4501 59 15 the the DET american_scientific_journal-4501 59 16 number number NOUN american_scientific_journal-4501 59 17 of of ADP american_scientific_journal-4501 59 18 antenna antenna NOUN american_scientific_journal-4501 59 19 elements element NOUN american_scientific_journal-4501 59 20 of of ADP american_scientific_journal-4501 59 21 the the DET american_scientific_journal-4501 59 22 large large ADJ american_scientific_journal-4501 59 23 size size NOUN american_scientific_journal-4501 59 24 array array NOUN american_scientific_journal-4501 59 25 and and CCONJ american_scientific_journal-4501 59 26 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 59 27 is be AUX american_scientific_journal-4501 59 28 the the DET american_scientific_journal-4501 59 29 number number NOUN american_scientific_journal-4501 59 30 of of ADP american_scientific_journal-4501 59 31 elements element NOUN american_scientific_journal-4501 59 32 of of ADP american_scientific_journal-4501 59 33 the the DET american_scientific_journal-4501 59 34 synthesized synthesize VERB american_scientific_journal-4501 59 35 array array NOUN american_scientific_journal-4501 59 36 where where SCONJ american_scientific_journal-4501 59 37 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 59 38 > > X american_scientific_journal-4501 59 39 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 59 40 . . PUNCT american_scientific_journal-4501 60 1 π‘Žπ‘Žπ‘ π‘  π‘Žπ‘Žπ‘ π‘  PROPN american_scientific_journal-4501 60 2 and and CCONJ american_scientific_journal-4501 60 3 π‘Žπ‘Žπ‘ π‘  π‘Žπ‘Žπ‘ π‘  VERB american_scientific_journal-4501 60 4 are be AUX american_scientific_journal-4501 60 5 the the DET american_scientific_journal-4501 60 6 excitation excitation NOUN american_scientific_journal-4501 60 7 coefficients coefficient NOUN american_scientific_journal-4501 60 8 of of ADP american_scientific_journal-4501 60 9 the the DET american_scientific_journal-4501 60 10 original original ADJ american_scientific_journal-4501 60 11 and and CCONJ american_scientific_journal-4501 60 12 synthesized synthesize VERB american_scientific_journal-4501 60 13 arrays array NOUN american_scientific_journal-4501 60 14 respectively respectively ADV american_scientific_journal-4501 60 15 . . PUNCT american_scientific_journal-4501 61 1 𝑑𝑑 𝑑𝑑 VERB american_scientific_journal-4501 61 2 and and CCONJ american_scientific_journal-4501 61 3 𝑑𝑑𝑠𝑠 𝑑𝑑𝑠𝑠 NOUN american_scientific_journal-4501 61 4 are be AUX american_scientific_journal-4501 61 5 the the DET american_scientific_journal-4501 61 6 element element NOUN american_scientific_journal-4501 61 7 spacing spacing NOUN american_scientific_journal-4501 61 8 of of ADP american_scientific_journal-4501 61 9 the the DET american_scientific_journal-4501 61 10 original original ADJ american_scientific_journal-4501 61 11 and and CCONJ american_scientific_journal-4501 61 12 synthesized synthesize VERB american_scientific_journal-4501 61 13 arrays array NOUN american_scientific_journal-4501 61 14 respectively respectively ADV american_scientific_journal-4501 61 15 . . PUNCT american_scientific_journal-4501 62 1 figure figure NOUN american_scientific_journal-4501 62 2 2 2 NUM american_scientific_journal-4501 62 3 : : PUNCT american_scientific_journal-4501 62 4 proposed propose VERB american_scientific_journal-4501 62 5 mimo mimo PROPN american_scientific_journal-4501 62 6 system system PROPN american_scientific_journal-4501 62 7 model model NOUN american_scientific_journal-4501 62 8 with with ADP american_scientific_journal-4501 62 9 synthesized synthesize VERB american_scientific_journal-4501 62 10 transmitting transmitting NOUN american_scientific_journal-4501 62 11 and and CCONJ american_scientific_journal-4501 62 12 receiving receive VERB american_scientific_journal-4501 62 13 antenna antenna NOUN american_scientific_journal-4501 62 14 arrays array VERB american_scientific_journal-4501 62 15 . . PUNCT american_scientific_journal-4501 63 1 consider consider VERB american_scientific_journal-4501 63 2 ( ( PUNCT american_scientific_journal-4501 63 3 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 63 4 = = SYM american_scientific_journal-4501 63 5 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 PROPN american_scientific_journal-4501 63 6 ) ) PUNCT american_scientific_journal-4501 64 1 mimo mimo PROPN american_scientific_journal-4501 64 2 system system NOUN american_scientific_journal-4501 64 3 whose whose DET american_scientific_journal-4501 64 4 antenna antenna NOUN american_scientific_journal-4501 64 5 arrays array VERB american_scientific_journal-4501 64 6 are be AUX american_scientific_journal-4501 64 7 radiating radiate VERB american_scientific_journal-4501 64 8 in in ADP american_scientific_journal-4501 64 9 the the DET american_scientific_journal-4501 64 10 broadside broadside NOUN american_scientific_journal-4501 64 11 direction direction NOUN american_scientific_journal-4501 64 12 and and CCONJ american_scientific_journal-4501 64 13 aligned align VERB american_scientific_journal-4501 64 14 together together ADV american_scientific_journal-4501 64 15 . . PUNCT american_scientific_journal-4501 65 1 in in ADP american_scientific_journal-4501 65 2 this this DET american_scientific_journal-4501 65 3 case case NOUN american_scientific_journal-4501 65 4 , , PUNCT american_scientific_journal-4501 65 5 the the DET american_scientific_journal-4501 65 6 synthesized synthesize VERB american_scientific_journal-4501 65 7 arrays array NOUN american_scientific_journal-4501 65 8 steering steering NOUN american_scientific_journal-4501 65 9 vectors vector NOUN american_scientific_journal-4501 65 10 are be AUX american_scientific_journal-4501 65 11 identical identical ADJ american_scientific_journal-4501 65 12 such such ADJ american_scientific_journal-4501 65 13 that that SCONJ american_scientific_journal-4501 65 14 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 65 15 = = PUNCT american_scientific_journal-4501 66 1 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 66 2 = = PUNCT american_scientific_journal-4501 67 1 𝐴𝐴. 𝐴𝐴. X american_scientific_journal-4501 67 2 where where SCONJ american_scientific_journal-4501 67 3 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 67 4 and and CCONJ american_scientific_journal-4501 67 5 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 67 6 are be AUX american_scientific_journal-4501 67 7 the the DET american_scientific_journal-4501 67 8 synthesized synthesize VERB american_scientific_journal-4501 67 9 steering steering NOUN american_scientific_journal-4501 67 10 vectors vector NOUN american_scientific_journal-4501 67 11 of of ADP american_scientific_journal-4501 67 12 the the DET american_scientific_journal-4501 67 13 transmitting transmitting NOUN american_scientific_journal-4501 67 14 and and CCONJ american_scientific_journal-4501 67 15 receiving receive VERB american_scientific_journal-4501 67 16 antenna antenna NOUN american_scientific_journal-4501 67 17 arrays array VERB american_scientific_journal-4501 67 18 respectively respectively ADV american_scientific_journal-4501 67 19 . . PUNCT american_scientific_journal-4501 68 1 to to PART american_scientific_journal-4501 68 2 derive derive VERB american_scientific_journal-4501 68 3 the the DET american_scientific_journal-4501 68 4 mimo mimo PROPN american_scientific_journal-4501 68 5 signal signal PROPN american_scientific_journal-4501 68 6 model model PROPN american_scientific_journal-4501 68 7 , , PUNCT american_scientific_journal-4501 68 8 consider consider VERB american_scientific_journal-4501 68 9 applying apply VERB american_scientific_journal-4501 68 10 array array NOUN american_scientific_journal-4501 68 11 synthesis synthesis NOUN american_scientific_journal-4501 68 12 at at ADP american_scientific_journal-4501 68 13 transmitting transmit VERB american_scientific_journal-4501 68 14 side side NOUN american_scientific_journal-4501 68 15 only only ADV american_scientific_journal-4501 68 16 . . PUNCT american_scientific_journal-4501 69 1 then then ADV american_scientific_journal-4501 69 2 received receive VERB american_scientific_journal-4501 69 3 signal signal NOUN american_scientific_journal-4501 69 4 will will AUX american_scientific_journal-4501 69 5 be be AUX american_scientific_journal-4501 69 6 : : PUNCT american_scientific_journal-4501 69 7 𝑦𝑦 𝑦𝑦 PROPN american_scientific_journal-4501 69 8 = = SYM american_scientific_journal-4501 69 9 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 69 10 ( ( PUNCT american_scientific_journal-4501 69 11 𝐴𝐴 𝐴𝐴 PROPN american_scientific_journal-4501 69 12 βˆ™ βˆ™ PROPN american_scientific_journal-4501 69 13 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 69 14 ) ) PUNCT american_scientific_journal-4501 70 1 + + NUM american_scientific_journal-4501 70 2 𝑣𝑣 𝑣𝑣 X american_scientific_journal-4501 70 3 ( ( PUNCT american_scientific_journal-4501 70 4 5 5 NUM american_scientific_journal-4501 70 5 ) ) PUNCT american_scientific_journal-4501 70 6 where where SCONJ american_scientific_journal-4501 70 7 ( ( PUNCT american_scientific_journal-4501 70 8 βˆ™ βˆ™ PROPN american_scientific_journal-4501 70 9 ) ) PUNCT american_scientific_journal-4501 70 10 is be AUX american_scientific_journal-4501 70 11 the the DET american_scientific_journal-4501 70 12 dot dot NOUN american_scientific_journal-4501 70 13 product product NOUN american_scientific_journal-4501 70 14 . . PUNCT american_scientific_journal-4501 71 1 when when SCONJ american_scientific_journal-4501 71 2 applying apply VERB american_scientific_journal-4501 71 3 array array NOUN american_scientific_journal-4501 71 4 synthesis synthesis NOUN american_scientific_journal-4501 71 5 at at ADP american_scientific_journal-4501 71 6 receiving receive VERB american_scientific_journal-4501 71 7 side side NOUN american_scientific_journal-4501 71 8 , , PUNCT american_scientific_journal-4501 71 9 the the DET american_scientific_journal-4501 71 10 total total ADJ american_scientific_journal-4501 71 11 received receive VERB american_scientific_journal-4501 71 12 signal signal NOUN american_scientific_journal-4501 71 13 𝑦𝑦𝑠𝑠 𝑦𝑦𝑠𝑠 NOUN american_scientific_journal-4501 71 14 can can AUX american_scientific_journal-4501 71 15 be be AUX american_scientific_journal-4501 71 16 written write VERB american_scientific_journal-4501 71 17 as as ADP american_scientific_journal-4501 71 18 : : PUNCT american_scientific_journal-4501 71 19 𝑦𝑦𝑠𝑠 𝑦𝑦𝑠𝑠 ADJ american_scientific_journal-4501 71 20 = = SYM american_scientific_journal-4501 71 21 ( ( PUNCT american_scientific_journal-4501 71 22 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 71 23 ( ( PUNCT american_scientific_journal-4501 71 24 𝐴𝐴 𝐴𝐴 PROPN american_scientific_journal-4501 71 25 βˆ™ βˆ™ PROPN american_scientific_journal-4501 71 26 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 71 27 ) ) PUNCT american_scientific_journal-4501 71 28 + + CCONJ american_scientific_journal-4501 72 1 𝑣𝑣).𝐴𝐴 𝑣𝑣).𝐴𝐴 X american_scientific_journal-4501 72 2 ( ( PUNCT american_scientific_journal-4501 72 3 6 6 NUM american_scientific_journal-4501 72 4 ) ) PUNCT american_scientific_journal-4501 72 5 or or CCONJ american_scientific_journal-4501 72 6 american american ADJ american_scientific_journal-4501 72 7 scientific scientific ADJ american_scientific_journal-4501 72 8 research research NOUN american_scientific_journal-4501 72 9 journal journal NOUN american_scientific_journal-4501 72 10 for for ADP american_scientific_journal-4501 72 11 engineering engineering NOUN american_scientific_journal-4501 72 12 , , PUNCT american_scientific_journal-4501 72 13 technology technology NOUN american_scientific_journal-4501 72 14 , , PUNCT american_scientific_journal-4501 72 15 and and CCONJ american_scientific_journal-4501 72 16 sciences science NOUN american_scientific_journal-4501 72 17 ( ( PUNCT american_scientific_journal-4501 72 18 asrjets asrjet NOUN american_scientific_journal-4501 72 19 ) ) PUNCT american_scientific_journal-4501 72 20 ( ( PUNCT american_scientific_journal-4501 72 21 2018 2018 NUM american_scientific_journal-4501 72 22 ) ) PUNCT american_scientific_journal-4501 72 23 volume volume NOUN american_scientific_journal-4501 72 24 49 49 NUM american_scientific_journal-4501 72 25 , , PUNCT american_scientific_journal-4501 72 26 no no DET american_scientific_journal-4501 72 27 1 1 NUM american_scientific_journal-4501 72 28 , , PUNCT american_scientific_journal-4501 72 29 pp pp ADV american_scientific_journal-4501 72 30 95 95 NUM american_scientific_journal-4501 72 31 - - SYM american_scientific_journal-4501 72 32 105 105 NUM american_scientific_journal-4501 72 33 99 99 NUM american_scientific_journal-4501 72 34 𝑦𝑦𝑠𝑠 𝑦𝑦𝑠𝑠 ADJ american_scientific_journal-4501 72 35 = = SYM american_scientific_journal-4501 72 36 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 72 37 ( ( PUNCT american_scientific_journal-4501 72 38 𝐴𝐴2 𝐴𝐴2 PROPN american_scientific_journal-4501 72 39 βˆ™ βˆ™ PROPN american_scientific_journal-4501 72 40 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 72 41 ) ) PUNCT american_scientific_journal-4501 73 1 + + CCONJ american_scientific_journal-4501 73 2 𝐴𝐴. 𝐴𝐴. NUM american_scientific_journal-4501 73 3 𝑣𝑣 𝑣𝑣 X american_scientific_journal-4501 73 4 ( ( PUNCT american_scientific_journal-4501 73 5 7 7 X american_scientific_journal-4501 73 6 ) ) PUNCT american_scientific_journal-4501 73 7 let let VERB american_scientific_journal-4501 73 8 π‘Šπ‘Š π‘Šπ‘Š PRON american_scientific_journal-4501 73 9 = = SYM american_scientific_journal-4501 73 10 π‘‘π‘‘π‘šπ‘šπ‘Žπ‘Žπ‘‘π‘‘(𝐴𝐴2 π‘‘π‘‘π‘šπ‘šπ‘Žπ‘Žπ‘‘π‘‘(𝐴𝐴2 X american_scientific_journal-4501 73 11 ) ) PUNCT american_scientific_journal-4501 73 12 is be AUX american_scientific_journal-4501 73 13 a a DET american_scientific_journal-4501 73 14 square square ADJ american_scientific_journal-4501 73 15 matrix matrix NOUN american_scientific_journal-4501 73 16 of of ADP american_scientific_journal-4501 73 17 dimensions dimension NOUN american_scientific_journal-4501 73 18 ( ( PUNCT american_scientific_journal-4501 73 19 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 ADP american_scientific_journal-4501 73 20 Γ— Γ— NOUN american_scientific_journal-4501 73 21 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 73 22 ) ) PUNCT american_scientific_journal-4501 74 1 and and CCONJ american_scientific_journal-4501 74 2 ( ( PUNCT american_scientific_journal-4501 74 3 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 74 4 = = SYM american_scientific_journal-4501 74 5 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 74 6 ) ) PUNCT american_scientific_journal-4501 74 7 . . PUNCT american_scientific_journal-4501 75 1 also also ADV american_scientific_journal-4501 75 2 let let VERB american_scientific_journal-4501 75 3 = = PRON american_scientific_journal-4501 75 4 𝐴𝐴. 𝐴𝐴. NOUN american_scientific_journal-4501 75 5 𝑣𝑣 𝑣𝑣 X american_scientific_journal-4501 75 6 . . PUNCT american_scientific_journal-4501 76 1 then then ADV american_scientific_journal-4501 76 2 equation equation NOUN american_scientific_journal-4501 76 3 ( ( PUNCT american_scientific_journal-4501 76 4 7 7 X american_scientific_journal-4501 76 5 ) ) PUNCT american_scientific_journal-4501 76 6 can can AUX american_scientific_journal-4501 76 7 be be AUX american_scientific_journal-4501 76 8 written write VERB american_scientific_journal-4501 76 9 as as ADP american_scientific_journal-4501 76 10 : : PUNCT american_scientific_journal-4501 76 11 𝑦𝑦𝑠𝑠 𝑦𝑦𝑠𝑠 ADJ american_scientific_journal-4501 76 12 = = PUNCT american_scientific_journal-4501 76 13 π‘Šπ‘Š π‘Šπ‘Š PROPN american_scientific_journal-4501 76 14 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 76 15 𝐻𝐻 𝐻𝐻 NOUN american_scientific_journal-4501 76 16 + + CCONJ american_scientific_journal-4501 76 17 π‘šπ‘š π‘šπ‘š ADP american_scientific_journal-4501 76 18 ( ( PUNCT american_scientific_journal-4501 76 19 8) 8) NUM american_scientific_journal-4501 76 20 for for ADP american_scientific_journal-4501 76 21 more more ADJ american_scientific_journal-4501 76 22 simplicity simplicity NOUN american_scientific_journal-4501 76 23 let let VERB american_scientific_journal-4501 76 24 ψ ψ NOUN american_scientific_journal-4501 76 25 = = X american_scientific_journal-4501 76 26 π‘Šπ‘Š π‘Šπ‘Š PROPN american_scientific_journal-4501 76 27 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 76 28 , , PUNCT american_scientific_journal-4501 76 29 then then ADV american_scientific_journal-4501 76 30 equation equation NOUN american_scientific_journal-4501 76 31 ( ( PUNCT american_scientific_journal-4501 76 32 8) 8) NUM american_scientific_journal-4501 76 33 is be AUX american_scientific_journal-4501 76 34 written write VERB american_scientific_journal-4501 76 35 as as SCONJ american_scientific_journal-4501 76 36 follows follow VERB american_scientific_journal-4501 76 37 : : PUNCT american_scientific_journal-4501 76 38 𝑦𝑦𝑠𝑠 𝑦𝑦𝑠𝑠 ADJ american_scientific_journal-4501 76 39 = = SYM american_scientific_journal-4501 76 40 ψ ψ X american_scientific_journal-4501 76 41 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 76 42 + + CCONJ american_scientific_journal-4501 76 43 π‘šπ‘š π‘šπ‘š ADP american_scientific_journal-4501 76 44 ( ( PUNCT american_scientific_journal-4501 76 45 9 9 NUM american_scientific_journal-4501 76 46 ) ) PUNCT american_scientific_journal-4501 76 47 to to PART american_scientific_journal-4501 76 48 express express VERB american_scientific_journal-4501 76 49 equation equation NOUN american_scientific_journal-4501 76 50 ( ( PUNCT american_scientific_journal-4501 76 51 9 9 NUM american_scientific_journal-4501 76 52 ) ) PUNCT american_scientific_journal-4501 76 53 in in ADP american_scientific_journal-4501 76 54 matrix matrix NOUN american_scientific_journal-4501 76 55 form form NOUN american_scientific_journal-4501 76 56 , , PUNCT american_scientific_journal-4501 76 57 consider consider VERB american_scientific_journal-4501 76 58 the the DET american_scientific_journal-4501 76 59 steering steering NOUN american_scientific_journal-4501 76 60 vectors vector NOUN american_scientific_journal-4501 76 61 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 76 62 = = PUNCT american_scientific_journal-4501 77 1 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 77 2 = = PUNCT american_scientific_journal-4501 78 1 𝐴𝐴 𝐴𝐴 PROPN american_scientific_journal-4501 78 2 which which PRON american_scientific_journal-4501 78 3 are be AUX american_scientific_journal-4501 78 4 derived derive VERB american_scientific_journal-4501 78 5 from from ADP american_scientific_journal-4501 78 6 the the DET american_scientific_journal-4501 78 7 synthesized synthesize VERB american_scientific_journal-4501 78 8 array array NOUN american_scientific_journal-4501 78 9 factor factor NOUN american_scientific_journal-4501 78 10 𝐴𝐴𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠(πœƒπœƒ 𝐴𝐴𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠(πœƒπœƒ NOUN american_scientific_journal-4501 78 11 ) ) PUNCT american_scientific_journal-4501 78 12 substituting substitute VERB american_scientific_journal-4501 78 13 πœƒπœƒ πœƒπœƒ PROPN american_scientific_journal-4501 78 14 = = SYM american_scientific_journal-4501 78 15 πœƒπœƒπ‘–π‘– πœƒπœƒπ‘–π‘– NOUN american_scientific_journal-4501 78 16 . . PUNCT american_scientific_journal-4501 79 1 as as SCONJ american_scientific_journal-4501 79 2 stated state VERB american_scientific_journal-4501 79 3 previously previously ADV american_scientific_journal-4501 79 4 , , PUNCT american_scientific_journal-4501 79 5 the the DET american_scientific_journal-4501 79 6 transmitting transmitting NOUN american_scientific_journal-4501 79 7 and and CCONJ american_scientific_journal-4501 79 8 receiving receive VERB american_scientific_journal-4501 79 9 antenna antenna NOUN american_scientific_journal-4501 79 10 arrays array NOUN american_scientific_journal-4501 79 11 are be AUX american_scientific_journal-4501 79 12 aligned align VERB american_scientific_journal-4501 79 13 together together ADV american_scientific_journal-4501 79 14 in in ADP american_scientific_journal-4501 79 15 broadside broadside PROPN american_scientific_journal-4501 79 16 direction direction NOUN american_scientific_journal-4501 79 17 , , PUNCT american_scientific_journal-4501 79 18 hence hence ADV american_scientific_journal-4501 79 19 πœƒπœƒπ‘–π‘– πœƒπœƒπ‘–π‘– NOUN american_scientific_journal-4501 80 1 = = PUNCT american_scientific_journal-4501 80 2 90 90 NUM american_scientific_journal-4501 80 3 Β° Β° NOUN american_scientific_journal-4501 80 4 with with ADP american_scientific_journal-4501 80 5 respect respect NOUN american_scientific_journal-4501 80 6 to to ADP american_scientific_journal-4501 80 7 the the DET american_scientific_journal-4501 80 8 array array NOUN american_scientific_journal-4501 80 9 line line NOUN american_scientific_journal-4501 80 10 . . PUNCT american_scientific_journal-4501 81 1 the the DET american_scientific_journal-4501 81 2 steering steering NOUN american_scientific_journal-4501 81 3 vectors vector NOUN american_scientific_journal-4501 81 4 at at ADP american_scientific_journal-4501 81 5 broadside broadside NOUN american_scientific_journal-4501 81 6 direction direction NOUN american_scientific_journal-4501 81 7 can can AUX american_scientific_journal-4501 81 8 be be AUX american_scientific_journal-4501 81 9 written write VERB american_scientific_journal-4501 81 10 as as SCONJ american_scientific_journal-4501 81 11 follows follow VERB american_scientific_journal-4501 81 12 : : PUNCT american_scientific_journal-4501 81 13 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 81 14 = = PUNCT american_scientific_journal-4501 82 1 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 82 2 = = PUNCT american_scientific_journal-4501 82 3 𝐴𝐴 𝐴𝐴 PROPN american_scientific_journal-4501 82 4 = = SYM american_scientific_journal-4501 82 5 𝐴𝐴𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠(90 𝐴𝐴𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠(90 PROPN american_scientific_journal-4501 82 6 Β° Β° PROPN american_scientific_journal-4501 82 7 ) ) PUNCT american_scientific_journal-4501 82 8 ( ( PUNCT american_scientific_journal-4501 82 9 10 10 NUM american_scientific_journal-4501 82 10 ) ) PUNCT american_scientific_journal-4501 82 11 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 83 1 = = PUNCT american_scientific_journal-4501 84 1 𝐴𝐴𝑠𝑠 𝐴𝐴𝑠𝑠 PROPN american_scientific_journal-4501 84 2 = = PUNCT american_scientific_journal-4501 84 3 𝐴𝐴 𝐴𝐴 PROPN american_scientific_journal-4501 84 4 = = SYM american_scientific_journal-4501 84 5 οΏ½ οΏ½ PROPN american_scientific_journal-4501 84 6 π‘Žπ‘Ž0 π‘Žπ‘Ž0 VERB american_scientific_journal-4501 84 7 π‘Žπ‘Ž1 π‘Žπ‘Ž1 NOUN american_scientific_journal-4501 84 8 π‘Žπ‘Ž2 π‘Žπ‘Ž2 X american_scientific_journal-4501 84 9 … … PUNCT american_scientific_journal-4501 84 10 … … PUNCT american_scientific_journal-4501 84 11 … … PUNCT american_scientific_journal-4501 84 12 … … PUNCT american_scientific_journal-4501 84 13 π‘Žπ‘Žπ‘π‘π‘‡π‘‡βˆ’1 π‘Žπ‘Žπ‘π‘π‘‡π‘‡βˆ’1 PROPN american_scientific_journal-4501 84 14 οΏ½ οΏ½ PROPN american_scientific_journal-4501 84 15 𝑇𝑇 𝑇𝑇 PROPN american_scientific_journal-4501 84 16 ( ( PUNCT american_scientific_journal-4501 84 17 11 11 NUM american_scientific_journal-4501 84 18 ) ) PUNCT american_scientific_journal-4501 84 19 also also ADV american_scientific_journal-4501 84 20 , , PUNCT american_scientific_journal-4501 84 21 the the DET american_scientific_journal-4501 84 22 remaining remain VERB american_scientific_journal-4501 84 23 parameters parameter NOUN american_scientific_journal-4501 84 24 can can AUX american_scientific_journal-4501 84 25 be be AUX american_scientific_journal-4501 84 26 expressed express VERB american_scientific_journal-4501 84 27 in in ADP american_scientific_journal-4501 84 28 matrix matrix NOUN american_scientific_journal-4501 84 29 form form NOUN american_scientific_journal-4501 84 30 as as SCONJ american_scientific_journal-4501 84 31 follows follow VERB american_scientific_journal-4501 84 32 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 84 33 = = SYM american_scientific_journal-4501 85 1 [ [ X american_scientific_journal-4501 85 2 𝐻𝐻1(π‘šπ‘š 𝐻𝐻1(π‘šπ‘š NOUN american_scientific_journal-4501 85 3 ) ) PUNCT american_scientific_journal-4501 85 4 𝐻𝐻2(π‘šπ‘š 𝐻𝐻2(π‘šπ‘š NOUN american_scientific_journal-4501 85 5 ) ) PUNCT american_scientific_journal-4501 85 6 𝐻𝐻3(π‘šπ‘š 𝐻𝐻3(π‘šπ‘š NOUN american_scientific_journal-4501 85 7 ) ) PUNCT american_scientific_journal-4501 85 8 … … PUNCT american_scientific_journal-4501 85 9 … … PUNCT american_scientific_journal-4501 85 10 … … PUNCT american_scientific_journal-4501 85 11 … … PUNCT american_scientific_journal-4501 85 12 𝐻𝐻𝑁𝑁𝑇𝑇(π‘šπ‘š)]𝑇𝑇 𝐻𝐻𝑁𝑁𝑇𝑇(π‘šπ‘š)]𝑇𝑇 NUM american_scientific_journal-4501 85 13 ( ( PUNCT american_scientific_journal-4501 85 14 12 12 NUM american_scientific_journal-4501 85 15 ) ) PUNCT american_scientific_journal-4501 85 16 𝐻𝐻𝑠𝑠(π‘šπ‘š 𝐻𝐻𝑠𝑠(π‘šπ‘š NOUN american_scientific_journal-4501 85 17 ) ) PUNCT american_scientific_journal-4501 85 18 = = SYM american_scientific_journal-4501 86 1 [ [ X american_scientific_journal-4501 86 2 𝐻𝐻𝑠𝑠(1 𝐻𝐻𝑠𝑠(1 NOUN american_scientific_journal-4501 86 3 ) ) PUNCT american_scientific_journal-4501 86 4 𝐻𝐻𝑠𝑠(2 𝐻𝐻𝑠𝑠(2 NOUN american_scientific_journal-4501 86 5 ) ) PUNCT american_scientific_journal-4501 86 6 𝐻𝐻𝑠𝑠(3 𝐻𝐻𝑠𝑠(3 PROPN american_scientific_journal-4501 86 7 ) ) PUNCT american_scientific_journal-4501 86 8 … … PUNCT american_scientific_journal-4501 86 9 … … PUNCT american_scientific_journal-4501 86 10 … … PUNCT american_scientific_journal-4501 86 11 … … PUNCT american_scientific_journal-4501 86 12 𝐻𝐻𝑠𝑠(𝑁𝑁)]𝑇𝑇 𝐻𝐻𝑠𝑠(𝑁𝑁)]𝑇𝑇 X american_scientific_journal-4501 86 13 ( ( PUNCT american_scientific_journal-4501 86 14 13 13 NUM american_scientific_journal-4501 86 15 ) ) PUNCT american_scientific_journal-4501 86 16 π‘šπ‘š π‘šπ‘š ADP american_scientific_journal-4501 86 17 = = PUNCT american_scientific_journal-4501 87 1 [ [ X american_scientific_journal-4501 87 2 π‘šπ‘š1(π‘šπ‘š π‘šπ‘š1(π‘šπ‘š NOUN american_scientific_journal-4501 87 3 ) ) PUNCT american_scientific_journal-4501 87 4 π‘šπ‘š2(π‘šπ‘š π‘šπ‘š2(π‘šπ‘š NOUN american_scientific_journal-4501 87 5 ) ) PUNCT american_scientific_journal-4501 87 6 π‘šπ‘š3(π‘šπ‘š π‘šπ‘š3(π‘šπ‘š NOUN american_scientific_journal-4501 87 7 ) ) PUNCT american_scientific_journal-4501 87 8 … … PUNCT american_scientific_journal-4501 87 9 … … PUNCT american_scientific_journal-4501 87 10 … … PUNCT american_scientific_journal-4501 87 11 … … PUNCT american_scientific_journal-4501 87 12 π‘šπ‘šπ‘π‘π‘‡π‘‡(π‘šπ‘š)]𝑇𝑇 π‘šπ‘šπ‘π‘π‘‡π‘‡(π‘šπ‘š)]𝑇𝑇 NOUN american_scientific_journal-4501 87 13 ( ( PUNCT american_scientific_journal-4501 87 14 14 14 NUM american_scientific_journal-4501 87 15 ) ) PUNCT american_scientific_journal-4501 87 16 π‘šπ‘šπ‘ π‘ (π‘šπ‘š π‘šπ‘šπ‘ π‘ (π‘šπ‘š VERB american_scientific_journal-4501 87 17 ) ) PUNCT american_scientific_journal-4501 87 18 = = SYM american_scientific_journal-4501 88 1 [ [ X american_scientific_journal-4501 88 2 π‘šπ‘šπ‘ π‘ (1 π‘šπ‘šπ‘ π‘ (1 NOUN american_scientific_journal-4501 88 3 ) ) PUNCT american_scientific_journal-4501 88 4 π‘šπ‘šπ‘ π‘ (2 π‘šπ‘šπ‘ π‘ (2 NUM american_scientific_journal-4501 88 5 ) ) PUNCT american_scientific_journal-4501 88 6 π‘šπ‘šπ‘ π‘ (3 π‘šπ‘šπ‘ π‘ (3 NUM american_scientific_journal-4501 88 7 ) ) PUNCT american_scientific_journal-4501 88 8 … … PUNCT american_scientific_journal-4501 88 9 … … PUNCT american_scientific_journal-4501 88 10 … … PUNCT american_scientific_journal-4501 88 11 … … PUNCT american_scientific_journal-4501 88 12 π‘šπ‘šπ‘ π‘ (𝑁𝑁)]𝑇𝑇 π‘šπ‘šπ‘ π‘ (𝑁𝑁)]𝑇𝑇 X american_scientific_journal-4501 88 13 ( ( PUNCT american_scientific_journal-4501 88 14 15 15 NUM american_scientific_journal-4501 88 15 ) ) PUNCT american_scientific_journal-4501 88 16 𝑦𝑦𝑠𝑠 𝑦𝑦𝑠𝑠 NOUN american_scientific_journal-4501 88 17 = = PUNCT american_scientific_journal-4501 89 1 [ [ X american_scientific_journal-4501 89 2 𝑦𝑦1(π‘šπ‘š 𝑦𝑦1(π‘šπ‘š NOUN american_scientific_journal-4501 89 3 ) ) PUNCT american_scientific_journal-4501 89 4 𝑦𝑦2(π‘šπ‘š 𝑦𝑦2(π‘šπ‘š NOUN american_scientific_journal-4501 89 5 ) ) PUNCT american_scientific_journal-4501 90 1 𝑦𝑦3(π‘šπ‘š 𝑦𝑦3(π‘šπ‘š NOUN american_scientific_journal-4501 90 2 ) ) PUNCT american_scientific_journal-4501 90 3 … … PUNCT american_scientific_journal-4501 90 4 … … PUNCT american_scientific_journal-4501 90 5 … … PUNCT american_scientific_journal-4501 90 6 … … PUNCT american_scientific_journal-4501 90 7 𝑦𝑦𝑁𝑁𝑅𝑅(π‘šπ‘š)]𝑇𝑇 𝑦𝑦𝑁𝑁𝑅𝑅(π‘šπ‘š)]𝑇𝑇 NUM american_scientific_journal-4501 90 8 ( ( PUNCT american_scientific_journal-4501 90 9 16 16 NUM american_scientific_journal-4501 90 10 ) ) PUNCT american_scientific_journal-4501 90 11 𝑦𝑦𝑠𝑠(π‘šπ‘š 𝑦𝑦𝑠𝑠(π‘šπ‘š NOUN american_scientific_journal-4501 90 12 ) ) PUNCT american_scientific_journal-4501 90 13 = = PUNCT american_scientific_journal-4501 91 1 [ [ X american_scientific_journal-4501 91 2 𝑦𝑦𝑠𝑠(1 𝑦𝑦𝑠𝑠(1 NOUN american_scientific_journal-4501 91 3 ) ) PUNCT american_scientific_journal-4501 91 4 𝑦𝑦𝑠𝑠(2 𝑦𝑦𝑠𝑠(2 PROPN american_scientific_journal-4501 91 5 ) ) PUNCT american_scientific_journal-4501 91 6 𝑦𝑦𝑠𝑠(3 𝑦𝑦𝑠𝑠(3 PROPN american_scientific_journal-4501 91 7 ) ) PUNCT american_scientific_journal-4501 91 8 … … PUNCT american_scientific_journal-4501 91 9 … … PUNCT american_scientific_journal-4501 91 10 … … PUNCT american_scientific_journal-4501 91 11 … … PUNCT american_scientific_journal-4501 91 12 𝑦𝑦𝑠𝑠(𝑁𝑁)]𝑇𝑇 𝑦𝑦𝑠𝑠(𝑁𝑁)]𝑇𝑇 X american_scientific_journal-4501 91 13 ( ( PUNCT american_scientific_journal-4501 91 14 17 17 NUM american_scientific_journal-4501 91 15 ) ) PUNCT american_scientific_journal-4501 91 16 where where SCONJ american_scientific_journal-4501 91 17 [ [ PUNCT american_scientific_journal-4501 91 18 ] ] X american_scientific_journal-4501 91 19 𝑇𝑇 𝑇𝑇 PROPN american_scientific_journal-4501 91 20 is be AUX american_scientific_journal-4501 91 21 the the DET american_scientific_journal-4501 91 22 matrix matrix NOUN american_scientific_journal-4501 91 23 transpose transpose NOUN american_scientific_journal-4501 91 24 . . PUNCT american_scientific_journal-4501 92 1 4 4 X american_scientific_journal-4501 92 2 . . X american_scientific_journal-4501 92 3 simulation simulation NOUN american_scientific_journal-4501 92 4 results result NOUN american_scientific_journal-4501 92 5 and and CCONJ american_scientific_journal-4501 92 6 discussions discussion NOUN american_scientific_journal-4501 92 7 in in ADP american_scientific_journal-4501 92 8 order order NOUN american_scientific_journal-4501 92 9 to to PART american_scientific_journal-4501 92 10 analyze analyze VERB american_scientific_journal-4501 92 11 the the DET american_scientific_journal-4501 92 12 impact impact NOUN american_scientific_journal-4501 92 13 of of ADP american_scientific_journal-4501 92 14 the the DET american_scientific_journal-4501 92 15 proposed propose VERB american_scientific_journal-4501 92 16 technique technique NOUN american_scientific_journal-4501 92 17 on on ADP american_scientific_journal-4501 92 18 the the DET american_scientific_journal-4501 92 19 ber ber NOUN american_scientific_journal-4501 92 20 , , PUNCT american_scientific_journal-4501 92 21 the the DET american_scientific_journal-4501 92 22 8 8 NUM american_scientific_journal-4501 92 23 Γ— Γ— NOUN american_scientific_journal-4501 92 24 8 8 NUM american_scientific_journal-4501 92 25 lte lte PROPN american_scientific_journal-4501 92 26 mimo mimo PROPN american_scientific_journal-4501 92 27 system system PROPN american_scientific_journal-4501 92 28 is be AUX american_scientific_journal-4501 92 29 taken take VERB american_scientific_journal-4501 92 30 as as ADP american_scientific_journal-4501 92 31 the the DET american_scientific_journal-4501 92 32 simulation simulation NOUN american_scientific_journal-4501 92 33 object object NOUN american_scientific_journal-4501 92 34 . . PUNCT american_scientific_journal-4501 93 1 it it PRON american_scientific_journal-4501 93 2 employs employ VERB american_scientific_journal-4501 93 3 two two NUM american_scientific_journal-4501 93 4 equal equal ADJ american_scientific_journal-4501 93 5 size size NOUN american_scientific_journal-4501 93 6 uniform uniform ADJ american_scientific_journal-4501 93 7 linear linear PROPN american_scientific_journal-4501 93 8 antenna antenna NOUN american_scientific_journal-4501 93 9 arrays array VERB american_scientific_journal-4501 93 10 at at ADP american_scientific_journal-4501 93 11 both both PRON american_scientific_journal-4501 93 12 transmitting transmit VERB american_scientific_journal-4501 93 13 and and CCONJ american_scientific_journal-4501 93 14 receiving receive VERB american_scientific_journal-4501 93 15 sides side NOUN american_scientific_journal-4501 93 16 with with ADP american_scientific_journal-4501 93 17 uniform uniform ADJ american_scientific_journal-4501 93 18 element element NOUN american_scientific_journal-4501 93 19 spacing space VERB american_scientific_journal-4501 93 20 𝑑𝑑 𝑑𝑑 PROPN american_scientific_journal-4501 94 1 = = SYM american_scientific_journal-4501 94 2 πœ†πœ† πœ†πœ† NOUN american_scientific_journal-4501 94 3 2⁄ 2⁄ NUM american_scientific_journal-4501 94 4 . . PUNCT american_scientific_journal-4501 95 1 the the DET american_scientific_journal-4501 95 2 transmitted transmit VERB american_scientific_journal-4501 95 3 signal signal NOUN american_scientific_journal-4501 95 4 is be AUX american_scientific_journal-4501 95 5 modulated modulate VERB american_scientific_journal-4501 95 6 using use VERB american_scientific_journal-4501 95 7 4 4 NUM american_scientific_journal-4501 95 8 - - PUNCT american_scientific_journal-4501 95 9 qam qam NOUN american_scientific_journal-4501 95 10 and and CCONJ american_scientific_journal-4501 95 11 transmitted transmit VERB american_scientific_journal-4501 95 12 over over ADP american_scientific_journal-4501 95 13 a a DET american_scientific_journal-4501 95 14 rayleigh rayleigh PROPN american_scientific_journal-4501 95 15 american american ADJ american_scientific_journal-4501 95 16 scientific scientific PROPN american_scientific_journal-4501 95 17 research research PROPN american_scientific_journal-4501 95 18 journal journal NOUN american_scientific_journal-4501 95 19 for for ADP american_scientific_journal-4501 95 20 engineering engineering NOUN american_scientific_journal-4501 95 21 , , PUNCT american_scientific_journal-4501 95 22 technology technology NOUN american_scientific_journal-4501 95 23 , , PUNCT american_scientific_journal-4501 95 24 and and CCONJ american_scientific_journal-4501 95 25 sciences science NOUN american_scientific_journal-4501 95 26 ( ( PUNCT american_scientific_journal-4501 95 27 asrjets asrjet NOUN american_scientific_journal-4501 95 28 ) ) PUNCT american_scientific_journal-4501 95 29 ( ( PUNCT american_scientific_journal-4501 95 30 2018 2018 NUM american_scientific_journal-4501 95 31 ) ) PUNCT american_scientific_journal-4501 95 32 volume volume NOUN american_scientific_journal-4501 95 33 49 49 NUM american_scientific_journal-4501 95 34 , , PUNCT american_scientific_journal-4501 95 35 no no DET american_scientific_journal-4501 95 36 1 1 NUM american_scientific_journal-4501 95 37 , , PUNCT american_scientific_journal-4501 95 38 pp pp ADV american_scientific_journal-4501 95 39 95 95 NUM american_scientific_journal-4501 95 40 - - SYM american_scientific_journal-4501 95 41 105 105 NUM american_scientific_journal-4501 95 42 100 100 NUM american_scientific_journal-4501 95 43 fading fade VERB american_scientific_journal-4501 95 44 channel channel NOUN american_scientific_journal-4501 95 45 . . PUNCT american_scientific_journal-4501 96 1 the the DET american_scientific_journal-4501 96 2 signal signal NOUN american_scientific_journal-4501 96 3 is be AUX american_scientific_journal-4501 96 4 subjected subject VERB american_scientific_journal-4501 96 5 to to ADP american_scientific_journal-4501 96 6 an an DET american_scientific_journal-4501 96 7 additive additive ADJ american_scientific_journal-4501 96 8 white white ADJ american_scientific_journal-4501 96 9 gaussian gaussian NOUN american_scientific_journal-4501 96 10 noise noise NOUN american_scientific_journal-4501 96 11 ( ( PUNCT american_scientific_journal-4501 96 12 awgn awgn NOUN american_scientific_journal-4501 96 13 ) ) PUNCT american_scientific_journal-4501 96 14 with with ADP american_scientific_journal-4501 96 15 zero zero NUM american_scientific_journal-4501 96 16 mean mean NOUN american_scientific_journal-4501 96 17 and and CCONJ american_scientific_journal-4501 96 18 variance variance NOUN american_scientific_journal-4501 96 19 𝜎𝜎2 𝜎𝜎2 PROPN american_scientific_journal-4501 96 20 . . PUNCT american_scientific_journal-4501 97 1 applying apply VERB american_scientific_journal-4501 97 2 the the DET american_scientific_journal-4501 97 3 array array NOUN american_scientific_journal-4501 97 4 synthesis synthesis NOUN american_scientific_journal-4501 97 5 algorithm algorithm NOUN american_scientific_journal-4501 97 6 presented present VERB american_scientific_journal-4501 97 7 in in ADP american_scientific_journal-4501 97 8 [ [ X american_scientific_journal-4501 97 9 10 10 NUM american_scientific_journal-4501 97 10 ] ] PUNCT american_scientific_journal-4501 97 11 , , PUNCT american_scientific_journal-4501 97 12 the the DET american_scientific_journal-4501 97 13 dedicated dedicated ADJ american_scientific_journal-4501 97 14 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 97 15 = = SYM american_scientific_journal-4501 97 16 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 97 17 = = SYM american_scientific_journal-4501 97 18 8 8 NUM american_scientific_journal-4501 97 19 elements element NOUN american_scientific_journal-4501 97 20 are be AUX american_scientific_journal-4501 97 21 used use VERB american_scientific_journal-4501 97 22 to to PART american_scientific_journal-4501 97 23 synthesize synthesize VERB american_scientific_journal-4501 97 24 different different ADJ american_scientific_journal-4501 97 25 larger large ADJ american_scientific_journal-4501 97 26 size size NOUN american_scientific_journal-4501 97 27 antenna antenna NOUN american_scientific_journal-4501 97 28 arrays array VERB american_scientific_journal-4501 97 29 from from ADP american_scientific_journal-4501 97 30 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 97 31 = = NOUN american_scientific_journal-4501 97 32 9 9 NUM american_scientific_journal-4501 97 33 to to ADP american_scientific_journal-4501 97 34 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 97 35 = = SYM american_scientific_journal-4501 97 36 16 16 NUM american_scientific_journal-4501 97 37 as as SCONJ american_scientific_journal-4501 97 38 shown show VERB american_scientific_journal-4501 97 39 in in ADP american_scientific_journal-4501 97 40 figure figure NOUN american_scientific_journal-4501 97 41 ( ( PUNCT american_scientific_journal-4501 97 42 3 3 NUM american_scientific_journal-4501 97 43 ) ) PUNCT american_scientific_journal-4501 97 44 . . PUNCT american_scientific_journal-4501 98 1 but but CCONJ american_scientific_journal-4501 98 2 , , PUNCT american_scientific_journal-4501 98 3 as as ADP american_scientific_journal-4501 98 4 the the DET american_scientific_journal-4501 98 5 number number NOUN american_scientific_journal-4501 98 6 of of ADP american_scientific_journal-4501 98 7 antenna antenna NOUN american_scientific_journal-4501 98 8 elements element NOUN american_scientific_journal-4501 98 9 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 98 10 increase increase NOUN american_scientific_journal-4501 98 11 , , PUNCT american_scientific_journal-4501 98 12 the the DET american_scientific_journal-4501 98 13 side side NOUN american_scientific_journal-4501 98 14 lobe lobe NOUN american_scientific_journal-4501 98 15 level level NOUN american_scientific_journal-4501 98 16 increase increase NOUN american_scientific_journal-4501 98 17 . . PUNCT american_scientific_journal-4501 99 1 the the DET american_scientific_journal-4501 99 2 grating grate VERB american_scientific_journal-4501 99 3 lobes lobe NOUN american_scientific_journal-4501 99 4 appear appear VERB american_scientific_journal-4501 99 5 significantly significantly ADV american_scientific_journal-4501 99 6 at at ADP american_scientific_journal-4501 99 7 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 99 8 = = SYM american_scientific_journal-4501 99 9 15 15 NUM american_scientific_journal-4501 99 10 and and CCONJ american_scientific_journal-4501 99 11 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 99 12 = = NOUN american_scientific_journal-4501 99 13 16 16 NUM american_scientific_journal-4501 99 14 . . PUNCT american_scientific_journal-4501 100 1 the the DET american_scientific_journal-4501 100 2 synthesized synthesize VERB american_scientific_journal-4501 100 3 array array NOUN american_scientific_journal-4501 100 4 parameters parameter NOUN american_scientific_journal-4501 100 5 and and CCONJ american_scientific_journal-4501 100 6 excitations excitation NOUN american_scientific_journal-4501 100 7 are be AUX american_scientific_journal-4501 100 8 listed list VERB american_scientific_journal-4501 100 9 in in ADP american_scientific_journal-4501 100 10 table table NOUN american_scientific_journal-4501 100 11 ( ( PUNCT american_scientific_journal-4501 100 12 1 1 NUM american_scientific_journal-4501 100 13 ) ) PUNCT american_scientific_journal-4501 100 14 . . PUNCT american_scientific_journal-4501 101 1 to to PART american_scientific_journal-4501 101 2 verify verify VERB american_scientific_journal-4501 101 3 the the DET american_scientific_journal-4501 101 4 effectiveness effectiveness NOUN american_scientific_journal-4501 101 5 of of ADP american_scientific_journal-4501 101 6 the the DET american_scientific_journal-4501 101 7 proposed propose VERB american_scientific_journal-4501 101 8 technique technique NOUN american_scientific_journal-4501 101 9 , , PUNCT american_scientific_journal-4501 101 10 two two NUM american_scientific_journal-4501 101 11 simulation simulation NOUN american_scientific_journal-4501 101 12 test test NOUN american_scientific_journal-4501 101 13 cases case NOUN american_scientific_journal-4501 101 14 considering consider VERB american_scientific_journal-4501 101 15 zf zf PRON american_scientific_journal-4501 101 16 and and CCONJ american_scientific_journal-4501 101 17 mmse mmse ADJ american_scientific_journal-4501 101 18 detectors detector NOUN american_scientific_journal-4501 101 19 are be AUX american_scientific_journal-4501 101 20 presented present VERB american_scientific_journal-4501 101 21 in in ADP american_scientific_journal-4501 101 22 the the DET american_scientific_journal-4501 101 23 next next ADJ american_scientific_journal-4501 101 24 sections section NOUN american_scientific_journal-4501 101 25 . . PUNCT american_scientific_journal-4501 102 1 ( ( PUNCT american_scientific_journal-4501 102 2 a a X american_scientific_journal-4501 102 3 ) ) PUNCT american_scientific_journal-4501 102 4 ( ( PUNCT american_scientific_journal-4501 102 5 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 6 = = SYM american_scientific_journal-4501 102 7 9,𝑁𝑁𝑇𝑇 9,𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 102 8 = = SYM american_scientific_journal-4501 102 9 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 10 = = SYM american_scientific_journal-4501 102 11 8) 8) NUM american_scientific_journal-4501 102 12 ( ( PUNCT american_scientific_journal-4501 102 13 b b NOUN american_scientific_journal-4501 102 14 ) ) PUNCT american_scientific_journal-4501 102 15 ( ( PUNCT american_scientific_journal-4501 102 16 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 17 = = SYM american_scientific_journal-4501 102 18 10,𝑁𝑁𝑇𝑇 10,𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 102 19 = = SYM american_scientific_journal-4501 102 20 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 21 = = SYM american_scientific_journal-4501 102 22 8) 8) NUM american_scientific_journal-4501 102 23 ( ( PUNCT american_scientific_journal-4501 102 24 c c NOUN american_scientific_journal-4501 102 25 ) ) PUNCT american_scientific_journal-4501 102 26 ( ( PUNCT american_scientific_journal-4501 102 27 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 28 = = SYM american_scientific_journal-4501 102 29 11,𝑁𝑁𝑇𝑇 11,𝑁𝑁𝑇𝑇 NUM american_scientific_journal-4501 102 30 = = SYM american_scientific_journal-4501 102 31 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 32 = = SYM american_scientific_journal-4501 102 33 8) 8) NUM american_scientific_journal-4501 102 34 ( ( PUNCT american_scientific_journal-4501 102 35 d d NOUN american_scientific_journal-4501 102 36 ) ) PUNCT american_scientific_journal-4501 102 37 ( ( PUNCT american_scientific_journal-4501 102 38 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 39 = = SYM american_scientific_journal-4501 102 40 12,𝑁𝑁𝑇𝑇 12,𝑁𝑁𝑇𝑇 NUM american_scientific_journal-4501 102 41 = = SYM american_scientific_journal-4501 102 42 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 43 = = SYM american_scientific_journal-4501 102 44 8) 8) NUM american_scientific_journal-4501 102 45 american american ADJ american_scientific_journal-4501 102 46 scientific scientific ADJ american_scientific_journal-4501 102 47 research research NOUN american_scientific_journal-4501 102 48 journal journal NOUN american_scientific_journal-4501 102 49 for for ADP american_scientific_journal-4501 102 50 engineering engineering NOUN american_scientific_journal-4501 102 51 , , PUNCT american_scientific_journal-4501 102 52 technology technology NOUN american_scientific_journal-4501 102 53 , , PUNCT american_scientific_journal-4501 102 54 and and CCONJ american_scientific_journal-4501 102 55 sciences science NOUN american_scientific_journal-4501 102 56 ( ( PUNCT american_scientific_journal-4501 102 57 asrjets asrjet NOUN american_scientific_journal-4501 102 58 ) ) PUNCT american_scientific_journal-4501 102 59 ( ( PUNCT american_scientific_journal-4501 102 60 2018 2018 NUM american_scientific_journal-4501 102 61 ) ) PUNCT american_scientific_journal-4501 102 62 volume volume NOUN american_scientific_journal-4501 102 63 49 49 NUM american_scientific_journal-4501 102 64 , , PUNCT american_scientific_journal-4501 102 65 no no DET american_scientific_journal-4501 102 66 1 1 NUM american_scientific_journal-4501 102 67 , , PUNCT american_scientific_journal-4501 102 68 pp pp ADV american_scientific_journal-4501 102 69 95 95 NUM american_scientific_journal-4501 102 70 - - SYM american_scientific_journal-4501 102 71 105 105 NUM american_scientific_journal-4501 102 72 101 101 NUM american_scientific_journal-4501 102 73 ( ( PUNCT american_scientific_journal-4501 102 74 e e NOUN american_scientific_journal-4501 102 75 ) ) PUNCT american_scientific_journal-4501 102 76 ( ( PUNCT american_scientific_journal-4501 102 77 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 78 = = SYM american_scientific_journal-4501 102 79 13,𝑁𝑁𝑇𝑇 13,𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 102 80 = = SYM american_scientific_journal-4501 102 81 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 82 = = SYM american_scientific_journal-4501 102 83 8) 8) NUM american_scientific_journal-4501 102 84 ( ( PUNCT american_scientific_journal-4501 102 85 f f NOUN american_scientific_journal-4501 102 86 ) ) PUNCT american_scientific_journal-4501 102 87 ( ( PUNCT american_scientific_journal-4501 102 88 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 89 = = SYM american_scientific_journal-4501 102 90 14,𝑁𝑁𝑇𝑇 14,𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 102 91 = = SYM american_scientific_journal-4501 102 92 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 93 = = SYM american_scientific_journal-4501 102 94 8) 8) NUM american_scientific_journal-4501 102 95 ( ( PUNCT american_scientific_journal-4501 102 96 g g NOUN american_scientific_journal-4501 102 97 ) ) PUNCT american_scientific_journal-4501 102 98 ( ( PUNCT american_scientific_journal-4501 102 99 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 100 = = SYM american_scientific_journal-4501 102 101 15,𝑁𝑁𝑇𝑇 15,𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 102 102 = = SYM american_scientific_journal-4501 102 103 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 104 = = SYM american_scientific_journal-4501 102 105 8) 8) NUM american_scientific_journal-4501 102 106 ( ( PUNCT american_scientific_journal-4501 102 107 h h NOUN american_scientific_journal-4501 102 108 ) ) PUNCT american_scientific_journal-4501 102 109 ( ( PUNCT american_scientific_journal-4501 102 110 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 111 = = SYM american_scientific_journal-4501 102 112 16,𝑁𝑁𝑇𝑇 16,𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 102 113 = = SYM american_scientific_journal-4501 102 114 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 115 = = SYM american_scientific_journal-4501 102 116 8) 8) NUM american_scientific_journal-4501 102 117 figure figure NOUN american_scientific_journal-4501 102 118 3 3 NUM american_scientific_journal-4501 102 119 : : PUNCT american_scientific_journal-4501 102 120 the the DET american_scientific_journal-4501 102 121 synthesized synthesize VERB american_scientific_journal-4501 102 122 antenna antenna NOUN american_scientific_journal-4501 102 123 arrays array VERB american_scientific_journal-4501 102 124 using use VERB american_scientific_journal-4501 102 125 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 102 126 = = SYM american_scientific_journal-4501 102 127 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 128 = = SYM american_scientific_journal-4501 102 129 8 8 NUM american_scientific_journal-4501 102 130 elements element NOUN american_scientific_journal-4501 102 131 for for ADP american_scientific_journal-4501 102 132 different different ADJ american_scientific_journal-4501 102 133 larger large ADJ american_scientific_journal-4501 102 134 size size NOUN american_scientific_journal-4501 102 135 antenna antenna NOUN american_scientific_journal-4501 102 136 arrays array VERB american_scientific_journal-4501 102 137 from from ADP american_scientific_journal-4501 102 138 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 139 = = NOUN american_scientific_journal-4501 102 140 9 9 NUM american_scientific_journal-4501 102 141 to to ADP american_scientific_journal-4501 102 142 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 143 = = SYM american_scientific_journal-4501 102 144 16 16 NUM american_scientific_journal-4501 102 145 . . PUNCT american_scientific_journal-4501 102 146 table table NOUN american_scientific_journal-4501 102 147 1 1 NUM american_scientific_journal-4501 102 148 : : PUNCT american_scientific_journal-4501 102 149 the the DET american_scientific_journal-4501 102 150 synthesized synthesize VERB american_scientific_journal-4501 102 151 array array NOUN american_scientific_journal-4501 102 152 parameters parameter NOUN american_scientific_journal-4501 102 153 for for ADP american_scientific_journal-4501 102 154 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 155 = = SYM american_scientific_journal-4501 102 156 9 9 NUM american_scientific_journal-4501 102 157 to to ADP american_scientific_journal-4501 102 158 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 102 159 = = NOUN american_scientific_journal-4501 102 160 16 16 NUM american_scientific_journal-4501 102 161 using use VERB american_scientific_journal-4501 102 162 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 102 163 = = SYM american_scientific_journal-4501 102 164 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 102 165 = = SYM american_scientific_journal-4501 102 166 8 8 NUM american_scientific_journal-4501 102 167 elements element NOUN american_scientific_journal-4501 102 168 𝑴𝑴 𝑴𝑴 PROPN american_scientific_journal-4501 102 169 9 9 NUM american_scientific_journal-4501 102 170 10 10 NUM american_scientific_journal-4501 102 171 11 11 NUM american_scientific_journal-4501 102 172 12 12 NUM american_scientific_journal-4501 102 173 13 13 NUM american_scientific_journal-4501 102 174 14 14 NUM american_scientific_journal-4501 102 175 15 15 NUM american_scientific_journal-4501 102 176 16 16 NUM american_scientific_journal-4501 102 177 𝒅𝒅𝒔𝒔 𝒅𝒅𝒔𝒔 NOUN american_scientific_journal-4501 102 178 0.564πœ†πœ† 0.564πœ†πœ† PROPN american_scientific_journal-4501 102 179 0.626πœ†πœ† 0.626πœ†πœ† PROPN american_scientific_journal-4501 102 180 0.701πœ†πœ† 0.701πœ†πœ† PROPN american_scientific_journal-4501 102 181 0.75πœ†πœ† 0.75πœ†πœ† NOUN american_scientific_journal-4501 102 182 0.869πœ†πœ† 0.869πœ†πœ† NOUN american_scientific_journal-4501 102 183 0.879πœ†πœ† 0.879πœ†πœ† NUM american_scientific_journal-4501 102 184 0.915πœ†πœ† 0.915πœ†πœ† NOUN american_scientific_journal-4501 102 185 0.944πœ†πœ† 0.944πœ†πœ† NOUN american_scientific_journal-4501 102 186 π’‚π’‚πŸπŸ π’‚π’‚πŸπŸ PROPN american_scientific_journal-4501 102 187 1.0892 1.0892 NUM american_scientific_journal-4501 102 188 1.1930 1.1930 NUM american_scientific_journal-4501 102 189 1.2061 1.2061 NUM american_scientific_journal-4501 102 190 1.3415 1.3415 NUM american_scientific_journal-4501 102 191 1.2964 1.2964 NUM american_scientific_journal-4501 102 192 1.4636 1.4636 NUM american_scientific_journal-4501 102 193 1.4198 1.4198 NUM american_scientific_journal-4501 102 194 0.9000 0.9000 NUM american_scientific_journal-4501 103 1 π’‚π’‚πŸπŸ π’‚π’‚πŸπŸ PROPN american_scientific_journal-4501 103 2 1.144 1.144 NUM american_scientific_journal-4501 103 3 1.2673 1.2673 NUM american_scientific_journal-4501 103 4 1.3920 1.3920 NUM american_scientific_journal-4501 103 5 1.4908 1.4908 NUM american_scientific_journal-4501 103 6 1.3678 1.3678 NUM american_scientific_journal-4501 103 7 1.5052 1.5052 NUM american_scientific_journal-4501 103 8 1.3144 1.3144 NUM american_scientific_journal-4501 103 9 0.7752 0.7752 NUM american_scientific_journal-4501 103 10 π’‚π’‚πŸ‘πŸ‘ π’‚π’‚πŸ‘πŸ‘ PROPN american_scientific_journal-4501 103 11 1.1196 1.1196 NUM american_scientific_journal-4501 103 12 1.2494 1.2494 NUM american_scientific_journal-4501 103 13 1.4952 1.4952 NUM american_scientific_journal-4501 103 14 1.5509 1.5509 NUM american_scientific_journal-4501 103 15 1.6494 1.6494 NUM american_scientific_journal-4501 103 16 1.6865 1.6865 NUM american_scientific_journal-4501 103 17 1.3236 1.3236 NUM american_scientific_journal-4501 103 18 0.7216 0.7216 NUM american_scientific_journal-4501 103 19 π’‚π’‚πŸ’πŸ’ π’‚π’‚πŸ’πŸ’ PROPN american_scientific_journal-4501 103 20 1.1307 1.1307 NUM american_scientific_journal-4501 103 21 1.2518 1.2518 NUM american_scientific_journal-4501 103 22 1.3518 1.3518 NUM american_scientific_journal-4501 103 23 1.479 1.479 NUM american_scientific_journal-4501 103 24 1.8438 1.8438 NUM american_scientific_journal-4501 103 25 1.8100 1.8100 NUM american_scientific_journal-4501 103 26 1.3414 1.3414 NUM american_scientific_journal-4501 103 27 0.6999 0.6999 NUM american_scientific_journal-4501 103 28 π’‚π’‚πŸ“πŸ“ π’‚π’‚πŸ“πŸ“ PROPN american_scientific_journal-4501 103 29 1.1307 1.1307 NUM american_scientific_journal-4501 103 30 1.2518 1.2518 NUM american_scientific_journal-4501 103 31 1.3518 1.3518 NUM american_scientific_journal-4501 103 32 1.479 1.479 NUM american_scientific_journal-4501 103 33 1.8438 1.8438 NUM american_scientific_journal-4501 103 34 1.8100 1.8100 NUM american_scientific_journal-4501 103 35 1.3414 1.3414 NUM american_scientific_journal-4501 103 36 0.6999 0.6999 NUM american_scientific_journal-4501 103 37 π’‚π’‚πŸ”πŸ” π’‚π’‚πŸ”πŸ” PROPN american_scientific_journal-4501 103 38 1.1196 1.1196 NUM american_scientific_journal-4501 103 39 1.2494 1.2494 NUM american_scientific_journal-4501 103 40 1.4952 1.4952 NUM american_scientific_journal-4501 103 41 1.5509 1.5509 NUM american_scientific_journal-4501 103 42 1.6494 1.6494 NUM american_scientific_journal-4501 103 43 1.6865 1.6865 NUM american_scientific_journal-4501 103 44 1.3236 1.3236 NUM american_scientific_journal-4501 103 45 0.7216 0.7216 NUM american_scientific_journal-4501 103 46 π’‚π’‚πŸ•πŸ• π’‚π’‚πŸ•πŸ• PROPN american_scientific_journal-4501 103 47 1.144 1.144 NUM american_scientific_journal-4501 103 48 1.2673 1.2673 NUM american_scientific_journal-4501 103 49 1.3920 1.3920 NUM american_scientific_journal-4501 103 50 1.4908 1.4908 NUM american_scientific_journal-4501 103 51 1.3678 1.3678 NUM american_scientific_journal-4501 103 52 1.5052 1.5052 NUM american_scientific_journal-4501 103 53 1.3144 1.3144 NUM american_scientific_journal-4501 103 54 0.7752 0.7752 NUM american_scientific_journal-4501 103 55 π’‚π’‚πŸ–πŸ– π’‚π’‚πŸ–πŸ– PROPN american_scientific_journal-4501 103 56 1.0892 1.0892 NUM american_scientific_journal-4501 103 57 1.1930 1.1930 NUM american_scientific_journal-4501 103 58 1.2061 1.2061 NUM american_scientific_journal-4501 103 59 1.3415 1.3415 NUM american_scientific_journal-4501 103 60 1.2964 1.2964 NUM american_scientific_journal-4501 103 61 1.4636 1.4636 NUM american_scientific_journal-4501 103 62 1.4198 1.4198 NUM american_scientific_journal-4501 103 63 0.9000 0.9000 NUM american_scientific_journal-4501 103 64 4.1 4.1 NUM american_scientific_journal-4501 103 65 zf zf PROPN american_scientific_journal-4501 103 66 detector detector NOUN american_scientific_journal-4501 103 67 based base VERB american_scientific_journal-4501 103 68 on on ADP american_scientific_journal-4501 103 69 array array NOUN american_scientific_journal-4501 103 70 synthesis synthesis NOUN american_scientific_journal-4501 103 71 ( ( PUNCT american_scientific_journal-4501 103 72 𝒁𝒁𝒁𝒁𝒔𝒔𝒔𝒔𝒔𝒔 𝒁𝒁𝒁𝒁𝒔𝒔𝒔𝒔𝒔𝒔 NOUN american_scientific_journal-4501 103 73 ) ) PUNCT american_scientific_journal-4501 103 74 american american ADJ american_scientific_journal-4501 103 75 scientific scientific ADJ american_scientific_journal-4501 103 76 research research NOUN american_scientific_journal-4501 103 77 journal journal NOUN american_scientific_journal-4501 103 78 for for ADP american_scientific_journal-4501 103 79 engineering engineering NOUN american_scientific_journal-4501 103 80 , , PUNCT american_scientific_journal-4501 103 81 technology technology NOUN american_scientific_journal-4501 103 82 , , PUNCT american_scientific_journal-4501 103 83 and and CCONJ american_scientific_journal-4501 103 84 sciences science NOUN american_scientific_journal-4501 103 85 ( ( PUNCT american_scientific_journal-4501 103 86 asrjets asrjet NOUN american_scientific_journal-4501 103 87 ) ) PUNCT american_scientific_journal-4501 103 88 ( ( PUNCT american_scientific_journal-4501 103 89 2018 2018 NUM american_scientific_journal-4501 103 90 ) ) PUNCT american_scientific_journal-4501 103 91 volume volume NOUN american_scientific_journal-4501 103 92 49 49 NUM american_scientific_journal-4501 103 93 , , PUNCT american_scientific_journal-4501 103 94 no no DET american_scientific_journal-4501 103 95 1 1 NUM american_scientific_journal-4501 103 96 , , PUNCT american_scientific_journal-4501 103 97 pp pp ADV american_scientific_journal-4501 103 98 95 95 NUM american_scientific_journal-4501 103 99 - - SYM american_scientific_journal-4501 103 100 105 105 NUM american_scientific_journal-4501 103 101 102 102 NUM american_scientific_journal-4501 103 102 according accord VERB american_scientific_journal-4501 103 103 to to ADP american_scientific_journal-4501 103 104 equation equation NOUN american_scientific_journal-4501 103 105 ( ( PUNCT american_scientific_journal-4501 103 106 1 1 NUM american_scientific_journal-4501 103 107 ) ) PUNCT american_scientific_journal-4501 103 108 , , PUNCT american_scientific_journal-4501 103 109 the the DET american_scientific_journal-4501 103 110 traditional traditional ADJ american_scientific_journal-4501 103 111 zero zero NUM american_scientific_journal-4501 103 112 - - PUNCT american_scientific_journal-4501 103 113 forcing force VERB american_scientific_journal-4501 103 114 detection detection NOUN american_scientific_journal-4501 103 115 as as ADP american_scientific_journal-4501 103 116 a a DET american_scientific_journal-4501 103 117 low low ADJ american_scientific_journal-4501 103 118 complexity complexity NOUN american_scientific_journal-4501 103 119 linear linear PROPN american_scientific_journal-4501 103 120 detection detection NOUN american_scientific_journal-4501 103 121 algorithm algorithm NOUN american_scientific_journal-4501 103 122 gives give VERB american_scientific_journal-4501 103 123 the the DET american_scientific_journal-4501 103 124 estimate estimate NOUN american_scientific_journal-4501 103 125 of of ADP american_scientific_journal-4501 103 126 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 103 127 as as SCONJ american_scientific_journal-4501 103 128 follows follow VERB american_scientific_journal-4501 103 129 [ [ X american_scientific_journal-4501 103 130 11 11 NUM american_scientific_journal-4501 103 131 ] ] SYM american_scientific_journal-4501 103 132 : : PUNCT american_scientific_journal-4501 103 133 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 103 134 οΏ½ οΏ½ PROPN american_scientific_journal-4501 103 135 = = PUNCT american_scientific_journal-4501 103 136 𝐻𝐻† 𝐻𝐻† PROPN american_scientific_journal-4501 103 137 𝑦𝑦 𝑦𝑦 NOUN american_scientific_journal-4501 103 138 = = SYM american_scientific_journal-4501 103 139 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 103 140 + + CCONJ american_scientific_journal-4501 103 141 ( ( PUNCT american_scientific_journal-4501 103 142 𝐻𝐻𝐻𝐻𝐻𝐻)βˆ’1𝐻𝐻𝐻𝐻 𝐻𝐻𝐻𝐻𝐻𝐻)βˆ’1𝐻𝐻𝐻𝐻 X american_scientific_journal-4501 103 143 𝑣𝑣 𝑣𝑣 X american_scientific_journal-4501 103 144 = = SYM american_scientific_journal-4501 103 145 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 103 146 + + NUM american_scientific_journal-4501 103 147 𝑣𝑣 𝑣𝑣 PROPN american_scientific_journal-4501 103 148 οΏ½ οΏ½ PROPN american_scientific_journal-4501 103 149 𝑧𝑧𝑧𝑧 𝑧𝑧𝑧𝑧 PROPN american_scientific_journal-4501 103 150 ( ( PUNCT american_scientific_journal-4501 103 151 18 18 NUM american_scientific_journal-4501 103 152 ) ) PUNCT american_scientific_journal-4501 103 153 the the DET american_scientific_journal-4501 103 154 detector detector NOUN american_scientific_journal-4501 103 155 thus thus ADV american_scientific_journal-4501 103 156 forces force VERB american_scientific_journal-4501 103 157 the the DET american_scientific_journal-4501 103 158 interference interference NOUN american_scientific_journal-4501 103 159 to to ADP american_scientific_journal-4501 103 160 zero zero NUM american_scientific_journal-4501 103 161 . . PUNCT american_scientific_journal-4501 104 1 the the DET american_scientific_journal-4501 104 2 matrix matrix NOUN american_scientific_journal-4501 104 3 𝐻𝐻† 𝐻𝐻† ADP american_scientific_journal-4501 104 4 nullifying nullify VERB american_scientific_journal-4501 104 5 the the DET american_scientific_journal-4501 104 6 interference interference NOUN american_scientific_journal-4501 104 7 is be AUX american_scientific_journal-4501 104 8 given give VERB american_scientific_journal-4501 104 9 by by ADP american_scientific_journal-4501 104 10 : : PUNCT american_scientific_journal-4501 104 11 𝐻𝐻† 𝐻𝐻† PROPN american_scientific_journal-4501 104 12 = = SYM american_scientific_journal-4501 104 13 ( ( PUNCT american_scientific_journal-4501 104 14 𝐻𝐻𝐻𝐻𝐻𝐻)βˆ’1𝐻𝐻𝐻𝐻 𝐻𝐻𝐻𝐻𝐻𝐻)βˆ’1𝐻𝐻𝐻𝐻 PROPN american_scientific_journal-4501 104 15 ( ( PUNCT american_scientific_journal-4501 104 16 19 19 NUM american_scientific_journal-4501 104 17 ) ) PUNCT american_scientific_journal-4501 104 18 where where SCONJ american_scientific_journal-4501 104 19 𝐻𝐻† 𝐻𝐻† PROPN american_scientific_journal-4501 104 20 is be AUX american_scientific_journal-4501 104 21 the the DET american_scientific_journal-4501 104 22 pseudo pseudo NOUN american_scientific_journal-4501 104 23 inverse inverse NOUN american_scientific_journal-4501 104 24 of of ADP american_scientific_journal-4501 104 25 the the DET american_scientific_journal-4501 104 26 channel channel NOUN american_scientific_journal-4501 104 27 matrix matrix NOUN american_scientific_journal-4501 104 28 𝐻𝐻. 𝐻𝐻. NOUN american_scientific_journal-4501 104 29 using use VERB american_scientific_journal-4501 104 30 the the DET american_scientific_journal-4501 104 31 proposed propose VERB american_scientific_journal-4501 104 32 signal signal NOUN american_scientific_journal-4501 104 33 model model NOUN american_scientific_journal-4501 104 34 expressed express VERB american_scientific_journal-4501 104 35 in in ADP american_scientific_journal-4501 104 36 equation equation NOUN american_scientific_journal-4501 104 37 ( ( PUNCT american_scientific_journal-4501 104 38 9 9 NUM american_scientific_journal-4501 104 39 ) ) PUNCT american_scientific_journal-4501 104 40 , , PUNCT american_scientific_journal-4501 104 41 the the DET american_scientific_journal-4501 104 42 zf zf PROPN american_scientific_journal-4501 104 43 detection detection NOUN american_scientific_journal-4501 104 44 process process NOUN american_scientific_journal-4501 104 45 applying apply VERB american_scientific_journal-4501 104 46 array array NOUN american_scientific_journal-4501 104 47 synthesis synthesis NOUN american_scientific_journal-4501 104 48 can can AUX american_scientific_journal-4501 104 49 be be AUX american_scientific_journal-4501 104 50 summarized summarize VERB american_scientific_journal-4501 104 51 as as SCONJ american_scientific_journal-4501 104 52 follows follow VERB american_scientific_journal-4501 104 53 where where SCONJ american_scientific_journal-4501 104 54 the the DET american_scientific_journal-4501 104 55 matrix matrix NOUN american_scientific_journal-4501 104 56 𝛹𝛹† 𝛹𝛹† ADV american_scientific_journal-4501 104 57 nullifying nullify VERB american_scientific_journal-4501 104 58 the the DET american_scientific_journal-4501 104 59 interference interference NOUN american_scientific_journal-4501 104 60 is be AUX american_scientific_journal-4501 104 61 given give VERB american_scientific_journal-4501 104 62 by by ADP american_scientific_journal-4501 104 63 : : PUNCT american_scientific_journal-4501 104 64 𝛹𝛹† 𝛹𝛹† PROPN american_scientific_journal-4501 104 65 = = PRON american_scientific_journal-4501 104 66 ( ( PUNCT american_scientific_journal-4501 104 67 𝛹𝛹𝐻𝐻𝛹𝛹)βˆ’1𝛹𝛹𝐻𝐻 𝛹𝛹𝐻𝐻𝛹𝛹)βˆ’1𝛹𝛹𝐻𝐻 X american_scientific_journal-4501 104 68 ( ( PUNCT american_scientific_journal-4501 104 69 20 20 NUM american_scientific_journal-4501 104 70 ) ) PUNCT american_scientific_journal-4501 104 71 where where SCONJ american_scientific_journal-4501 104 72 𝛹𝛹† 𝛹𝛹† PROPN american_scientific_journal-4501 104 73 is be AUX american_scientific_journal-4501 104 74 the the DET american_scientific_journal-4501 104 75 pseudo pseudo NOUN american_scientific_journal-4501 104 76 inverse inverse NOUN american_scientific_journal-4501 104 77 of of ADP american_scientific_journal-4501 104 78 the the DET american_scientific_journal-4501 104 79 matrix matrix NOUN american_scientific_journal-4501 104 80 𝛹𝛹. 𝛹𝛹. ADP american_scientific_journal-4501 104 81 the the DET american_scientific_journal-4501 104 82 new new ADJ american_scientific_journal-4501 104 83 symbols symbol NOUN american_scientific_journal-4501 104 84 estimates estimate VERB american_scientific_journal-4501 104 85 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 104 86 οΏ½ οΏ½ PROPN american_scientific_journal-4501 104 87 𝑠𝑠𝑠𝑠𝑠𝑠 𝑠𝑠𝑠𝑠𝑠𝑠 NOUN american_scientific_journal-4501 104 88 will will AUX american_scientific_journal-4501 104 89 be be AUX american_scientific_journal-4501 104 90 given give VERB american_scientific_journal-4501 104 91 as as SCONJ american_scientific_journal-4501 104 92 follows follow VERB american_scientific_journal-4501 104 93 : : PUNCT american_scientific_journal-4501 104 94 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 104 95 οΏ½ οΏ½ NOUN american_scientific_journal-4501 104 96 𝑠𝑠𝑠𝑠𝑠𝑠 𝑠𝑠𝑠𝑠𝑠𝑠 NOUN american_scientific_journal-4501 104 97 = = SYM american_scientific_journal-4501 104 98 𝛹𝛹† 𝛹𝛹† ADV american_scientific_journal-4501 104 99 𝑦𝑦𝑠𝑠 𝑦𝑦𝑠𝑠 ADJ american_scientific_journal-4501 104 100 = = SYM american_scientific_journal-4501 104 101 𝐻𝐻 𝐻𝐻 NOUN american_scientific_journal-4501 104 102 + + CCONJ american_scientific_journal-4501 104 103 ( ( PUNCT american_scientific_journal-4501 104 104 𝛹𝛹𝐻𝐻𝛹𝛹)βˆ’1𝛹𝛹𝐻𝐻 𝛹𝛹𝐻𝐻𝛹𝛹)βˆ’1𝛹𝛹𝐻𝐻 NOUN american_scientific_journal-4501 104 105 π‘šπ‘š π‘šπ‘š ADP american_scientific_journal-4501 104 106 = = PUNCT american_scientific_journal-4501 104 107 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 104 108 + + CCONJ american_scientific_journal-4501 104 109 π‘šπ‘š π‘šπ‘š PROPN american_scientific_journal-4501 104 110 οΏ½ οΏ½ PROPN american_scientific_journal-4501 104 111 𝑧𝑧𝑧𝑧 𝑧𝑧𝑧𝑧 PROPN american_scientific_journal-4501 104 112 ( ( PUNCT american_scientific_journal-4501 104 113 21 21 NUM american_scientific_journal-4501 104 114 ) ) PUNCT american_scientific_journal-4501 104 115 figure figure NOUN american_scientific_journal-4501 104 116 4 4 NUM american_scientific_journal-4501 104 117 : : PUNCT american_scientific_journal-4501 104 118 the the DET american_scientific_journal-4501 104 119 ber ber NOUN american_scientific_journal-4501 104 120 versus versus ADP american_scientific_journal-4501 104 121 snr snr NOUN american_scientific_journal-4501 104 122 for for ADP american_scientific_journal-4501 104 123 different different ADJ american_scientific_journal-4501 104 124 array array NOUN american_scientific_journal-4501 104 125 sizes size NOUN american_scientific_journal-4501 104 126 ( ( PUNCT american_scientific_journal-4501 104 127 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 104 128 > > SYM american_scientific_journal-4501 104 129 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 104 130 ) ) PUNCT american_scientific_journal-4501 104 131 synthesized synthesize VERB american_scientific_journal-4501 104 132 using use VERB american_scientific_journal-4501 104 133 the the DET american_scientific_journal-4501 104 134 same same ADJ american_scientific_journal-4501 104 135 number number NOUN american_scientific_journal-4501 104 136 of of ADP american_scientific_journal-4501 104 137 antenna antenna NOUN american_scientific_journal-4501 104 138 elements element NOUN american_scientific_journal-4501 104 139 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PUNCT american_scientific_journal-4501 105 1 = = PUNCT american_scientific_journal-4501 105 2 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 105 3 = = SYM american_scientific_journal-4501 105 4 8 8 NUM american_scientific_journal-4501 105 5 compared compare VERB american_scientific_journal-4501 105 6 to to ADP american_scientific_journal-4501 105 7 the the DET american_scientific_journal-4501 105 8 traditional traditional ADJ american_scientific_journal-4501 105 9 zf zf PROPN american_scientific_journal-4501 105 10 detector detector NOUN american_scientific_journal-4501 105 11 in in ADP american_scientific_journal-4501 105 12 a a DET american_scientific_journal-4501 105 13 8 8 NUM american_scientific_journal-4501 105 14 Γ— Γ— NOUN american_scientific_journal-4501 105 15 8 8 NUM american_scientific_journal-4501 105 16 mimo mimo PROPN american_scientific_journal-4501 105 17 system system NOUN american_scientific_journal-4501 105 18 . . PUNCT american_scientific_journal-4501 106 1 to to PART american_scientific_journal-4501 106 2 verify verify VERB american_scientific_journal-4501 106 3 the the DET american_scientific_journal-4501 106 4 effectiveness effectiveness NOUN american_scientific_journal-4501 106 5 of of ADP american_scientific_journal-4501 106 6 the the DET american_scientific_journal-4501 106 7 proposed propose VERB american_scientific_journal-4501 106 8 technique technique NOUN american_scientific_journal-4501 106 9 , , PUNCT american_scientific_journal-4501 106 10 the the DET american_scientific_journal-4501 106 11 ber ber NOUN american_scientific_journal-4501 106 12 versus versus ADP american_scientific_journal-4501 106 13 signal signal VERB american_scientific_journal-4501 106 14 to to PART american_scientific_journal-4501 106 15 noise noise VERB american_scientific_journal-4501 106 16 ratio ratio NOUN american_scientific_journal-4501 106 17 ( ( PUNCT american_scientific_journal-4501 106 18 snr snr PROPN american_scientific_journal-4501 106 19 ) ) PUNCT american_scientific_journal-4501 106 20 is be AUX american_scientific_journal-4501 106 21 plotted plot VERB american_scientific_journal-4501 106 22 for for ADP american_scientific_journal-4501 106 23 the the DET american_scientific_journal-4501 106 24 zf zf PROPN american_scientific_journal-4501 106 25 detector detector NOUN american_scientific_journal-4501 106 26 applying apply VERB american_scientific_journal-4501 106 27 array array NOUN american_scientific_journal-4501 106 28 synthesis synthesis NOUN american_scientific_journal-4501 106 29 , , PUNCT american_scientific_journal-4501 106 30 𝑍𝑍𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠 𝑍𝑍𝐴𝐴𝑠𝑠𝑠𝑠𝑠𝑠 NOUN american_scientific_journal-4501 106 31 , , PUNCT american_scientific_journal-4501 106 32 as as SCONJ american_scientific_journal-4501 106 33 shown show VERB american_scientific_journal-4501 106 34 in in ADP american_scientific_journal-4501 106 35 figure figure NOUN american_scientific_journal-4501 106 36 ( ( PUNCT american_scientific_journal-4501 106 37 4 4 NUM american_scientific_journal-4501 106 38 ) ) PUNCT american_scientific_journal-4501 106 39 . . PUNCT american_scientific_journal-4501 107 1 replacing replace VERB american_scientific_journal-4501 107 2 the the DET american_scientific_journal-4501 107 3 8 8 NUM american_scientific_journal-4501 107 4 - - PUNCT american_scientific_journal-4501 107 5 elements element NOUN american_scientific_journal-4501 107 6 uniform uniform ADJ american_scientific_journal-4501 107 7 antenna antenna NOUN american_scientific_journal-4501 107 8 arrays array VERB american_scientific_journal-4501 107 9 by by ADP american_scientific_journal-4501 107 10 the the DET american_scientific_journal-4501 107 11 8 8 NUM american_scientific_journal-4501 107 12 - - PUNCT american_scientific_journal-4501 107 13 elements element NOUN american_scientific_journal-4501 107 14 synthesized synthesize VERB american_scientific_journal-4501 107 15 antenna antenna NOUN american_scientific_journal-4501 107 16 arrays array VERB american_scientific_journal-4501 107 17 , , PUNCT american_scientific_journal-4501 107 18 it it PRON american_scientific_journal-4501 107 19 is be AUX american_scientific_journal-4501 107 20 found find VERB american_scientific_journal-4501 107 21 that that SCONJ american_scientific_journal-4501 107 22 the the DET american_scientific_journal-4501 107 23 ber ber NOUN american_scientific_journal-4501 107 24 performance performance NOUN american_scientific_journal-4501 107 25 is be AUX american_scientific_journal-4501 107 26 significantly significantly ADV american_scientific_journal-4501 107 27 enhanced enhance VERB american_scientific_journal-4501 107 28 as as ADP american_scientific_journal-4501 107 29 the the DET american_scientific_journal-4501 107 30 number number NOUN american_scientific_journal-4501 107 31 of of ADP american_scientific_journal-4501 107 32 antenna antenna NOUN american_scientific_journal-4501 107 33 elements element NOUN american_scientific_journal-4501 107 34 increases increase NOUN american_scientific_journal-4501 107 35 from from ADP american_scientific_journal-4501 107 36 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 107 37 = = NOUN american_scientific_journal-4501 107 38 9 9 NUM american_scientific_journal-4501 107 39 to to ADP american_scientific_journal-4501 107 40 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 107 41 = = SYM american_scientific_journal-4501 107 42 14 14 NUM american_scientific_journal-4501 107 43 as as SCONJ american_scientific_journal-4501 107 44 shown show VERB american_scientific_journal-4501 107 45 in in ADP american_scientific_journal-4501 107 46 figure figure NOUN american_scientific_journal-4501 107 47 ( ( PUNCT american_scientific_journal-4501 107 48 4 4 NUM american_scientific_journal-4501 107 49 ) ) PUNCT american_scientific_journal-4501 107 50 . . PUNCT american_scientific_journal-4501 108 1 but but CCONJ american_scientific_journal-4501 108 2 , , PUNCT american_scientific_journal-4501 108 3 for for ADP american_scientific_journal-4501 108 4 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 108 5 = = SYM american_scientific_journal-4501 108 6 15 15 NUM american_scientific_journal-4501 108 7 and and CCONJ american_scientific_journal-4501 108 8 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 108 9 = = SYM american_scientific_journal-4501 108 10 16 16 NUM american_scientific_journal-4501 108 11 , , PUNCT american_scientific_journal-4501 108 12 the the DET american_scientific_journal-4501 108 13 appearance appearance NOUN american_scientific_journal-4501 108 14 of of ADP american_scientific_journal-4501 108 15 grating grating NOUN american_scientific_journal-4501 108 16 lobes lobe NOUN american_scientific_journal-4501 108 17 highly highly ADV american_scientific_journal-4501 108 18 degrades degrade VERB american_scientific_journal-4501 108 19 the the DET american_scientific_journal-4501 108 20 ber ber NOUN american_scientific_journal-4501 108 21 performance performance NOUN american_scientific_journal-4501 108 22 as as SCONJ american_scientific_journal-4501 108 23 shown show VERB american_scientific_journal-4501 108 24 in in ADP american_scientific_journal-4501 108 25 figure figure NOUN american_scientific_journal-4501 108 26 ( ( PUNCT american_scientific_journal-4501 108 27 5 5 NUM american_scientific_journal-4501 108 28 ) ) PUNCT american_scientific_journal-4501 108 29 . . PUNCT american_scientific_journal-4501 109 1 for for ADP american_scientific_journal-4501 109 2 examples example NOUN american_scientific_journal-4501 109 3 , , PUNCT american_scientific_journal-4501 109 4 at at ADP american_scientific_journal-4501 109 5 𝑆𝑆𝑁𝑁𝑆𝑆 𝑆𝑆𝑁𝑁𝑆𝑆 PROPN american_scientific_journal-4501 109 6 = = PROPN american_scientific_journal-4501 109 7 0𝑑𝑑𝑑𝑑 0𝑑𝑑𝑑𝑑 PROPN american_scientific_journal-4501 109 8 and and CCONJ american_scientific_journal-4501 109 9 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 109 10 = = SYM american_scientific_journal-4501 109 11 14 14 NUM american_scientific_journal-4501 109 12 , , PUNCT american_scientific_journal-4501 109 13 the the DET american_scientific_journal-4501 109 14 ber ber NOUN american_scientific_journal-4501 109 15 is be AUX american_scientific_journal-4501 109 16 reduced reduce VERB american_scientific_journal-4501 109 17 by by ADP american_scientific_journal-4501 109 18 0.2867 0.2867 NUM american_scientific_journal-4501 109 19 compared compare VERB american_scientific_journal-4501 109 20 to to ADP american_scientific_journal-4501 109 21 the the DET american_scientific_journal-4501 109 22 american american ADJ american_scientific_journal-4501 109 23 scientific scientific PROPN american_scientific_journal-4501 109 24 research research PROPN american_scientific_journal-4501 109 25 journal journal NOUN american_scientific_journal-4501 109 26 for for ADP american_scientific_journal-4501 109 27 engineering engineering NOUN american_scientific_journal-4501 109 28 , , PUNCT american_scientific_journal-4501 109 29 technology technology NOUN american_scientific_journal-4501 109 30 , , PUNCT american_scientific_journal-4501 109 31 and and CCONJ american_scientific_journal-4501 109 32 sciences science NOUN american_scientific_journal-4501 109 33 ( ( PUNCT american_scientific_journal-4501 109 34 asrjets asrjet NOUN american_scientific_journal-4501 109 35 ) ) PUNCT american_scientific_journal-4501 109 36 ( ( PUNCT american_scientific_journal-4501 109 37 2018 2018 NUM american_scientific_journal-4501 109 38 ) ) PUNCT american_scientific_journal-4501 109 39 volume volume NOUN american_scientific_journal-4501 109 40 49 49 NUM american_scientific_journal-4501 109 41 , , PUNCT american_scientific_journal-4501 109 42 no no DET american_scientific_journal-4501 109 43 1 1 NUM american_scientific_journal-4501 109 44 , , PUNCT american_scientific_journal-4501 109 45 pp pp ADV american_scientific_journal-4501 109 46 95 95 NUM american_scientific_journal-4501 109 47 - - SYM american_scientific_journal-4501 109 48 105 105 NUM american_scientific_journal-4501 109 49 103 103 NUM american_scientific_journal-4501 109 50 traditional traditional ADJ american_scientific_journal-4501 109 51 zf zf PROPN american_scientific_journal-4501 109 52 detector detector NOUN american_scientific_journal-4501 109 53 . . PUNCT american_scientific_journal-4501 110 1 also also ADV american_scientific_journal-4501 110 2 , , PUNCT american_scientific_journal-4501 110 3 the the DET american_scientific_journal-4501 110 4 simulation simulation NOUN american_scientific_journal-4501 110 5 results result NOUN american_scientific_journal-4501 110 6 revealed reveal VERB american_scientific_journal-4501 110 7 that that SCONJ american_scientific_journal-4501 110 8 ( ( PUNCT american_scientific_journal-4501 110 9 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 110 10 = = SYM american_scientific_journal-4501 110 11 14,𝑁𝑁𝑇𝑇 14,𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 110 12 = = SYM american_scientific_journal-4501 110 13 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 110 14 = = SYM american_scientific_journal-4501 110 15 8) 8) NUM american_scientific_journal-4501 110 16 system system NOUN american_scientific_journal-4501 110 17 provides provide VERB american_scientific_journal-4501 110 18 the the DET american_scientific_journal-4501 110 19 best good ADJ american_scientific_journal-4501 110 20 ber ber NOUN american_scientific_journal-4501 110 21 performance performance NOUN american_scientific_journal-4501 110 22 . . PUNCT american_scientific_journal-4501 111 1 figure figure NOUN american_scientific_journal-4501 111 2 5 5 NUM american_scientific_journal-4501 111 3 : : PUNCT american_scientific_journal-4501 111 4 the the DET american_scientific_journal-4501 111 5 ber ber NOUN american_scientific_journal-4501 111 6 performance performance NOUN american_scientific_journal-4501 111 7 degradation degradation NOUN american_scientific_journal-4501 111 8 of of ADP american_scientific_journal-4501 111 9 the the DET american_scientific_journal-4501 111 10 proposed propose VERB american_scientific_journal-4501 111 11 zf zf PROPN american_scientific_journal-4501 111 12 detector detector NOUN american_scientific_journal-4501 111 13 at at ADP american_scientific_journal-4501 111 14 ( ( PUNCT american_scientific_journal-4501 111 15 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 111 16 β‰₯ β‰₯ NOUN american_scientific_journal-4501 111 17 15,𝑁𝑁𝑇𝑇 15,𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 111 18 = = SYM american_scientific_journal-4501 111 19 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 111 20 = = SYM american_scientific_journal-4501 111 21 8) 8) NUM american_scientific_journal-4501 111 22 for for ADP american_scientific_journal-4501 111 23 a a DET american_scientific_journal-4501 111 24 8 8 NUM american_scientific_journal-4501 111 25 Γ— Γ— NOUN american_scientific_journal-4501 111 26 8 8 NUM american_scientific_journal-4501 111 27 mimo mimo PROPN american_scientific_journal-4501 111 28 system system NOUN american_scientific_journal-4501 111 29 . . PUNCT american_scientific_journal-4501 112 1 4.2 4.2 NUM american_scientific_journal-4501 112 2 mmse mmse ADJ american_scientific_journal-4501 112 3 detector detector NOUN american_scientific_journal-4501 112 4 based base VERB american_scientific_journal-4501 112 5 on on ADP american_scientific_journal-4501 112 6 array array NOUN american_scientific_journal-4501 112 7 synthesis synthesis NOUN american_scientific_journal-4501 112 8 ( ( PUNCT american_scientific_journal-4501 112 9 𝑴𝑴𝑴𝑴𝑴𝑴𝑴𝑴𝒔𝒔𝒔𝒔𝒔𝒔 𝑴𝑴𝑴𝑴𝑴𝑴𝑴𝑴𝒔𝒔𝒔𝒔𝒔𝒔 PROPN american_scientific_journal-4501 112 10 ) ) PUNCT american_scientific_journal-4501 112 11 according accord VERB american_scientific_journal-4501 112 12 to to ADP american_scientific_journal-4501 112 13 equation equation NOUN american_scientific_journal-4501 112 14 ( ( PUNCT american_scientific_journal-4501 112 15 1 1 NUM american_scientific_journal-4501 112 16 ) ) PUNCT american_scientific_journal-4501 112 17 , , PUNCT american_scientific_journal-4501 112 18 the the DET american_scientific_journal-4501 112 19 mmse mmse ADJ american_scientific_journal-4501 112 20 detector detector NOUN american_scientific_journal-4501 112 21 estimates estimate VERB american_scientific_journal-4501 112 22 the the DET american_scientific_journal-4501 112 23 transmitted transmit VERB american_scientific_journal-4501 112 24 vector vector NOUN american_scientific_journal-4501 112 25 𝐻𝐻 𝐻𝐻 NOUN american_scientific_journal-4501 112 26 by by ADP american_scientific_journal-4501 112 27 applying apply VERB american_scientific_journal-4501 112 28 a a DET american_scientific_journal-4501 112 29 linear linear ADJ american_scientific_journal-4501 112 30 transformation transformation NOUN american_scientific_journal-4501 112 31 to to ADP american_scientific_journal-4501 112 32 the the DET american_scientific_journal-4501 112 33 received receive VERB american_scientific_journal-4501 112 34 vector vector NOUN american_scientific_journal-4501 112 35 𝑦𝑦. 𝑦𝑦. ADP american_scientific_journal-4501 112 36 it it PRON american_scientific_journal-4501 112 37 finds find VERB american_scientific_journal-4501 112 38 out out ADP american_scientific_journal-4501 112 39 the the DET american_scientific_journal-4501 112 40 estimate estimate NOUN american_scientific_journal-4501 112 41 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 112 42 οΏ½ οΏ½ PROPN american_scientific_journal-4501 112 43 𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀 𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀 NOUN american_scientific_journal-4501 112 44 of of ADP american_scientific_journal-4501 112 45 the the DET american_scientific_journal-4501 112 46 transmitted transmit VERB american_scientific_journal-4501 112 47 symbol symbol NOUN american_scientific_journal-4501 112 48 vector vector NOUN american_scientific_journal-4501 112 49 𝐻𝐻 𝐻𝐻 NOUN american_scientific_journal-4501 112 50 as as ADP american_scientific_journal-4501 112 51 [ [ X american_scientific_journal-4501 112 52 11 11 NUM american_scientific_journal-4501 112 53 ] ] SYM american_scientific_journal-4501 112 54 : : PUNCT american_scientific_journal-4501 112 55 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 112 56 οΏ½ οΏ½ NOUN american_scientific_journal-4501 112 57 𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀 𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀 NOUN american_scientific_journal-4501 112 58 = = SYM american_scientific_journal-4501 112 59 π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€ π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€ NOUN american_scientific_journal-4501 112 60 𝑦𝑦 𝑦𝑦 PART american_scientific_journal-4501 112 61 = = PUNCT american_scientific_journal-4501 112 62 ( ( PUNCT american_scientific_journal-4501 112 63 𝐻𝐻𝐻𝐻𝐻𝐻 𝐻𝐻𝐻𝐻𝐻𝐻 PROPN american_scientific_journal-4501 112 64 + + CCONJ american_scientific_journal-4501 112 65 𝜎𝜎2𝐼𝐼)βˆ’1𝐻𝐻𝐻𝐻y 𝜎𝜎2𝐼𝐼)βˆ’1𝐻𝐻𝐻𝐻y PROPN american_scientific_journal-4501 112 66 = = SYM american_scientific_journal-4501 112 67 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 112 68 οΏ½ οΏ½ PROPN american_scientific_journal-4501 112 69 + + CCONJ american_scientific_journal-4501 112 70 ( ( PUNCT american_scientific_journal-4501 112 71 𝐻𝐻𝐻𝐻𝐻𝐻 𝐻𝐻𝐻𝐻𝐻𝐻 PROPN american_scientific_journal-4501 112 72 + + CCONJ american_scientific_journal-4501 112 73 𝜎𝜎2𝐼𝐼)βˆ’1𝐻𝐻𝐻𝐻𝑣𝑣 𝜎𝜎2𝐼𝐼)βˆ’1𝐻𝐻𝐻𝐻𝑣𝑣 X american_scientific_journal-4501 112 74 = = SYM american_scientific_journal-4501 112 75 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 112 76 οΏ½ οΏ½ PROPN american_scientific_journal-4501 112 77 + + CCONJ american_scientific_journal-4501 112 78 𝑣𝑣 𝑣𝑣 PROPN american_scientific_journal-4501 112 79 οΏ½ οΏ½ NOUN american_scientific_journal-4501 112 80 𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀 𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀 NOUN american_scientific_journal-4501 112 81 ( ( PUNCT american_scientific_journal-4501 112 82 22 22 NUM american_scientific_journal-4501 112 83 ) ) PUNCT american_scientific_journal-4501 112 84 the the DET american_scientific_journal-4501 112 85 mmse mmse ADJ american_scientific_journal-4501 112 86 weight weight NOUN american_scientific_journal-4501 112 87 matrix matrix NOUN american_scientific_journal-4501 112 88 , , PUNCT american_scientific_journal-4501 112 89 π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€ π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€ NOUN american_scientific_journal-4501 112 90 , , PUNCT american_scientific_journal-4501 112 91 is be AUX american_scientific_journal-4501 112 92 utilized utilize VERB american_scientific_journal-4501 112 93 to to PART american_scientific_journal-4501 112 94 maximize maximize VERB american_scientific_journal-4501 112 95 the the DET american_scientific_journal-4501 112 96 post post ADJ american_scientific_journal-4501 112 97 - - ADJ american_scientific_journal-4501 112 98 detection detection ADJ american_scientific_journal-4501 112 99 signal signal NOUN american_scientific_journal-4501 112 100 - - PUNCT american_scientific_journal-4501 112 101 to to PART american_scientific_journal-4501 112 102 interference interference VERB american_scientific_journal-4501 112 103 plus plus CCONJ american_scientific_journal-4501 112 104 noise noise NOUN american_scientific_journal-4501 112 105 ratio ratio NOUN american_scientific_journal-4501 112 106 ( ( PUNCT american_scientific_journal-4501 112 107 sinr sinr NOUN american_scientific_journal-4501 112 108 ) ) PUNCT american_scientific_journal-4501 113 1 [ [ X american_scientific_journal-4501 113 2 11 11 NUM american_scientific_journal-4501 113 3 ] ] PUNCT american_scientific_journal-4501 113 4 . . PUNCT american_scientific_journal-4501 114 1 while while SCONJ american_scientific_journal-4501 114 2 the the DET american_scientific_journal-4501 114 3 mmse mmse ADJ american_scientific_journal-4501 114 4 receiver receiver NOUN american_scientific_journal-4501 114 5 requires require VERB american_scientific_journal-4501 114 6 the the DET american_scientific_journal-4501 114 7 statistical statistical ADJ american_scientific_journal-4501 114 8 information information NOUN american_scientific_journal-4501 114 9 of of ADP american_scientific_journal-4501 114 10 noise noise NOUN american_scientific_journal-4501 114 11 variance variance NOUN american_scientific_journal-4501 114 12 𝜎𝜎2 𝜎𝜎2 PROPN american_scientific_journal-4501 114 13 . . PUNCT american_scientific_journal-4501 115 1 its its PRON american_scientific_journal-4501 115 2 ber ber NOUN american_scientific_journal-4501 115 3 performance performance NOUN american_scientific_journal-4501 115 4 is be AUX american_scientific_journal-4501 115 5 superior superior ADJ american_scientific_journal-4501 115 6 to to ADP american_scientific_journal-4501 115 7 zf zf PROPN american_scientific_journal-4501 115 8 detection detection NOUN american_scientific_journal-4501 115 9 due due ADP american_scientific_journal-4501 115 10 to to ADP american_scientific_journal-4501 115 11 mitigating mitigate VERB american_scientific_journal-4501 115 12 the the DET american_scientific_journal-4501 115 13 noise noise NOUN american_scientific_journal-4501 115 14 enhancement enhancement NOUN american_scientific_journal-4501 115 15 . . PUNCT american_scientific_journal-4501 116 1 the the DET american_scientific_journal-4501 116 2 mmse mmse ADJ american_scientific_journal-4501 116 3 weight weight NOUN american_scientific_journal-4501 116 4 matrix matrix NOUN american_scientific_journal-4501 116 5 π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€ π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€ NOUN american_scientific_journal-4501 116 6 is be AUX american_scientific_journal-4501 116 7 given give VERB american_scientific_journal-4501 116 8 by by ADP american_scientific_journal-4501 116 9 : : PUNCT american_scientific_journal-4501 116 10 π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€ π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€ NOUN american_scientific_journal-4501 116 11 = = SYM american_scientific_journal-4501 116 12 ( ( PUNCT american_scientific_journal-4501 116 13 𝐻𝐻𝐻𝐻𝐻𝐻 𝐻𝐻𝐻𝐻𝐻𝐻 PROPN american_scientific_journal-4501 116 14 + + PROPN american_scientific_journal-4501 116 15 𝜎𝜎2𝐼𝐼)βˆ’1𝐻𝐻𝐻𝐻 𝜎𝜎2𝐼𝐼)βˆ’1𝐻𝐻𝐻𝐻 NUM american_scientific_journal-4501 116 16 ( ( PUNCT american_scientific_journal-4501 116 17 23 23 NUM american_scientific_journal-4501 116 18 ) ) PUNCT american_scientific_journal-4501 116 19 using use VERB american_scientific_journal-4501 116 20 the the DET american_scientific_journal-4501 116 21 proposed propose VERB american_scientific_journal-4501 116 22 signal signal NOUN american_scientific_journal-4501 116 23 model model NOUN american_scientific_journal-4501 116 24 expressed express VERB american_scientific_journal-4501 116 25 in in ADP american_scientific_journal-4501 116 26 equation equation NOUN american_scientific_journal-4501 116 27 ( ( PUNCT american_scientific_journal-4501 116 28 9 9 NUM american_scientific_journal-4501 116 29 ) ) PUNCT american_scientific_journal-4501 116 30 , , PUNCT american_scientific_journal-4501 116 31 the the DET american_scientific_journal-4501 116 32 mmse mmse ADJ american_scientific_journal-4501 116 33 detection detection NOUN american_scientific_journal-4501 116 34 process process NOUN american_scientific_journal-4501 116 35 applying apply VERB american_scientific_journal-4501 116 36 array array NOUN american_scientific_journal-4501 116 37 synthesis synthesis NOUN american_scientific_journal-4501 116 38 can can AUX american_scientific_journal-4501 116 39 be be AUX american_scientific_journal-4501 116 40 summarized summarize VERB american_scientific_journal-4501 116 41 as as SCONJ american_scientific_journal-4501 116 42 follows follow VERB american_scientific_journal-4501 116 43 where where SCONJ american_scientific_journal-4501 116 44 the the DET american_scientific_journal-4501 116 45 mmse mmse ADJ american_scientific_journal-4501 116 46 weight weight NOUN american_scientific_journal-4501 116 47 matrix matrix NOUN american_scientific_journal-4501 116 48 π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘ π‘ π‘ π‘ π‘ π‘  π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘ π‘ π‘ π‘ π‘ π‘  PROPN american_scientific_journal-4501 116 49 is be AUX american_scientific_journal-4501 116 50 given give VERB american_scientific_journal-4501 116 51 by by ADP american_scientific_journal-4501 116 52 : : PUNCT american_scientific_journal-4501 116 53 π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘ π‘ π‘ π‘ π‘ π‘  π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘ π‘ π‘ π‘ π‘ π‘  PROPN american_scientific_journal-4501 116 54 = = SYM american_scientific_journal-4501 116 55 ( ( PUNCT american_scientific_journal-4501 116 56 𝛹𝛹𝐻𝐻𝛹𝛹 𝛹𝛹𝐻𝐻𝛹𝛹 NOUN american_scientific_journal-4501 116 57 + + CCONJ american_scientific_journal-4501 116 58 𝜎𝜎2𝐼𝐼)βˆ’1𝛹𝛹𝐻𝐻 𝜎𝜎2𝐼𝐼)βˆ’1𝛹𝛹𝐻𝐻 PROPN american_scientific_journal-4501 116 59 ( ( PUNCT american_scientific_journal-4501 116 60 24 24 NUM american_scientific_journal-4501 116 61 ) ) PUNCT american_scientific_journal-4501 116 62 american american ADJ american_scientific_journal-4501 116 63 scientific scientific ADJ american_scientific_journal-4501 116 64 research research NOUN american_scientific_journal-4501 116 65 journal journal NOUN american_scientific_journal-4501 116 66 for for ADP american_scientific_journal-4501 116 67 engineering engineering NOUN american_scientific_journal-4501 116 68 , , PUNCT american_scientific_journal-4501 116 69 technology technology NOUN american_scientific_journal-4501 116 70 , , PUNCT american_scientific_journal-4501 116 71 and and CCONJ american_scientific_journal-4501 116 72 sciences science NOUN american_scientific_journal-4501 116 73 ( ( PUNCT american_scientific_journal-4501 116 74 asrjets asrjet NOUN american_scientific_journal-4501 116 75 ) ) PUNCT american_scientific_journal-4501 116 76 ( ( PUNCT american_scientific_journal-4501 116 77 2018 2018 NUM american_scientific_journal-4501 116 78 ) ) PUNCT american_scientific_journal-4501 116 79 volume volume NOUN american_scientific_journal-4501 116 80 49 49 NUM american_scientific_journal-4501 116 81 , , PUNCT american_scientific_journal-4501 116 82 no no DET american_scientific_journal-4501 116 83 1 1 NUM american_scientific_journal-4501 116 84 , , PUNCT american_scientific_journal-4501 116 85 pp pp ADV american_scientific_journal-4501 116 86 95 95 NUM american_scientific_journal-4501 116 87 - - SYM american_scientific_journal-4501 116 88 105 105 NUM american_scientific_journal-4501 116 89 104 104 NUM american_scientific_journal-4501 116 90 the the DET american_scientific_journal-4501 116 91 new new ADJ american_scientific_journal-4501 116 92 symbols symbol NOUN american_scientific_journal-4501 116 93 estimates estimate VERB american_scientific_journal-4501 116 94 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 116 95 οΏ½ οΏ½ PROPN american_scientific_journal-4501 116 96 𝑠𝑠𝑠𝑠𝑠𝑠 𝑠𝑠𝑠𝑠𝑠𝑠 NOUN american_scientific_journal-4501 116 97 will will AUX american_scientific_journal-4501 116 98 be be AUX american_scientific_journal-4501 116 99 given give VERB american_scientific_journal-4501 116 100 as as SCONJ american_scientific_journal-4501 116 101 follows follow VERB american_scientific_journal-4501 116 102 : : PUNCT american_scientific_journal-4501 116 103 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 116 104 οΏ½ οΏ½ NOUN american_scientific_journal-4501 116 105 𝑠𝑠𝑠𝑠𝑠𝑠 𝑠𝑠𝑠𝑠𝑠𝑠 NOUN american_scientific_journal-4501 116 106 = = PUNCT american_scientific_journal-4501 116 107 π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘ π‘ π‘ π‘ π‘ π‘  π‘Šπ‘Šπ‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘€π‘ π‘ π‘ π‘ π‘ π‘  NUM american_scientific_journal-4501 116 108 𝑦𝑦𝑠𝑠 𝑦𝑦𝑠𝑠 NOUN american_scientific_journal-4501 116 109 = = PUNCT american_scientific_journal-4501 116 110 ( ( PUNCT american_scientific_journal-4501 116 111 𝛹𝛹𝐻𝐻𝛹𝛹 𝛹𝛹𝐻𝐻𝛹𝛹 NOUN american_scientific_journal-4501 117 1 + + X american_scientific_journal-4501 117 2 𝜎𝜎2𝐼𝐼)βˆ’1𝛹𝛹𝐻𝐻𝑦𝑦𝑠𝑠 𝜎𝜎2𝐼𝐼)βˆ’1𝛹𝛹𝐻𝐻𝑦𝑦𝑠𝑠 ADJ american_scientific_journal-4501 117 3 = = SYM american_scientific_journal-4501 117 4 𝐻𝐻 𝐻𝐻 PROPN american_scientific_journal-4501 117 5 + + CCONJ american_scientific_journal-4501 117 6 ( ( PUNCT american_scientific_journal-4501 117 7 𝛹𝛹𝐻𝐻𝛹𝛹 𝛹𝛹𝐻𝐻𝛹𝛹 NOUN american_scientific_journal-4501 117 8 + + X american_scientific_journal-4501 117 9 𝜎𝜎2𝐼𝐼)βˆ’1𝛹𝛹𝐻𝐻𝑧𝑧 𝜎𝜎2𝐼𝐼)βˆ’1𝛹𝛹𝐻𝐻𝑧𝑧 NUM american_scientific_journal-4501 117 10 = = SYM american_scientific_journal-4501 117 11 𝐻𝐻 𝐻𝐻 NOUN american_scientific_journal-4501 117 12 + + CCONJ american_scientific_journal-4501 117 13 π‘šπ‘š π‘šπ‘š NOUN american_scientific_journal-4501 117 14 οΏ½ οΏ½ NOUN american_scientific_journal-4501 117 15 𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀 𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀 NOUN american_scientific_journal-4501 117 16 ( ( PUNCT american_scientific_journal-4501 117 17 25 25 NUM american_scientific_journal-4501 117 18 ) ) PUNCT american_scientific_journal-4501 117 19 also also ADV american_scientific_journal-4501 117 20 , , PUNCT american_scientific_journal-4501 117 21 replacing replace VERB american_scientific_journal-4501 117 22 the the DET american_scientific_journal-4501 117 23 8 8 NUM american_scientific_journal-4501 117 24 - - PUNCT american_scientific_journal-4501 117 25 elements element NOUN american_scientific_journal-4501 117 26 uniform uniform ADJ american_scientific_journal-4501 117 27 antenna antenna NOUN american_scientific_journal-4501 117 28 array array NOUN american_scientific_journal-4501 117 29 by by ADP american_scientific_journal-4501 117 30 the the DET american_scientific_journal-4501 117 31 8 8 NUM american_scientific_journal-4501 117 32 - - PUNCT american_scientific_journal-4501 117 33 elements element NOUN american_scientific_journal-4501 117 34 synthesized synthesize VERB american_scientific_journal-4501 117 35 antenna antenna NOUN american_scientific_journal-4501 117 36 arrays array VERB american_scientific_journal-4501 117 37 , , PUNCT american_scientific_journal-4501 117 38 it it PRON american_scientific_journal-4501 117 39 is be AUX american_scientific_journal-4501 117 40 found find VERB american_scientific_journal-4501 117 41 that that SCONJ american_scientific_journal-4501 117 42 the the DET american_scientific_journal-4501 117 43 ber ber NOUN american_scientific_journal-4501 117 44 performance performance NOUN american_scientific_journal-4501 117 45 of of ADP american_scientific_journal-4501 117 46 the the DET american_scientific_journal-4501 117 47 mmse mmse ADJ american_scientific_journal-4501 117 48 detector detector NOUN american_scientific_journal-4501 117 49 is be AUX american_scientific_journal-4501 117 50 significantly significantly ADV american_scientific_journal-4501 117 51 enhanced enhance VERB american_scientific_journal-4501 117 52 as as SCONJ american_scientific_journal-4501 117 53 the the DET american_scientific_journal-4501 117 54 number number NOUN american_scientific_journal-4501 117 55 of of ADP american_scientific_journal-4501 117 56 elements element NOUN american_scientific_journal-4501 117 57 increase increase VERB american_scientific_journal-4501 117 58 from from ADP american_scientific_journal-4501 117 59 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 117 60 = = NOUN american_scientific_journal-4501 117 61 9 9 NUM american_scientific_journal-4501 117 62 to to ADP american_scientific_journal-4501 117 63 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 117 64 = = SYM american_scientific_journal-4501 117 65 14 14 NUM american_scientific_journal-4501 117 66 as as SCONJ american_scientific_journal-4501 117 67 shown show VERB american_scientific_journal-4501 117 68 in in ADP american_scientific_journal-4501 117 69 figure figure NOUN american_scientific_journal-4501 117 70 ( ( PUNCT american_scientific_journal-4501 117 71 6 6 NUM american_scientific_journal-4501 117 72 ) ) PUNCT american_scientific_journal-4501 117 73 . . PUNCT american_scientific_journal-4501 118 1 also also ADV american_scientific_journal-4501 118 2 , , PUNCT american_scientific_journal-4501 118 3 for for ADP american_scientific_journal-4501 118 4 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 118 5 = = SYM american_scientific_journal-4501 118 6 15 15 NUM american_scientific_journal-4501 118 7 and and CCONJ american_scientific_journal-4501 118 8 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 118 9 = = SYM american_scientific_journal-4501 118 10 16 16 NUM american_scientific_journal-4501 118 11 , , PUNCT american_scientific_journal-4501 118 12 the the DET american_scientific_journal-4501 118 13 appearance appearance NOUN american_scientific_journal-4501 118 14 of of ADP american_scientific_journal-4501 118 15 grating grating NOUN american_scientific_journal-4501 118 16 lobes lobe NOUN american_scientific_journal-4501 118 17 highly highly ADV american_scientific_journal-4501 118 18 degrades degrade VERB american_scientific_journal-4501 118 19 the the DET american_scientific_journal-4501 118 20 ber ber NOUN american_scientific_journal-4501 118 21 performance performance NOUN american_scientific_journal-4501 118 22 as as SCONJ american_scientific_journal-4501 118 23 shown show VERB american_scientific_journal-4501 118 24 in in ADP american_scientific_journal-4501 118 25 figure figure NOUN american_scientific_journal-4501 118 26 ( ( PUNCT american_scientific_journal-4501 118 27 7 7 NUM american_scientific_journal-4501 118 28 ) ) PUNCT american_scientific_journal-4501 118 29 . . PUNCT american_scientific_journal-4501 119 1 for for ADP american_scientific_journal-4501 119 2 examples example NOUN american_scientific_journal-4501 119 3 , , PUNCT american_scientific_journal-4501 119 4 at at ADP american_scientific_journal-4501 119 5 𝑆𝑆𝑁𝑁𝑆𝑆 𝑆𝑆𝑁𝑁𝑆𝑆 PROPN american_scientific_journal-4501 119 6 = = PROPN american_scientific_journal-4501 119 7 0𝑑𝑑𝑑𝑑 0𝑑𝑑𝑑𝑑 PROPN american_scientific_journal-4501 119 8 and and CCONJ american_scientific_journal-4501 119 9 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 119 10 = = SYM american_scientific_journal-4501 119 11 14 14 NUM american_scientific_journal-4501 119 12 , , PUNCT american_scientific_journal-4501 119 13 the the DET american_scientific_journal-4501 119 14 ber ber NOUN american_scientific_journal-4501 119 15 is be AUX american_scientific_journal-4501 119 16 reduced reduce VERB american_scientific_journal-4501 119 17 by by ADP american_scientific_journal-4501 119 18 0.4257 0.4257 NUM american_scientific_journal-4501 119 19 compared compare VERB american_scientific_journal-4501 119 20 to to ADP american_scientific_journal-4501 119 21 the the DET american_scientific_journal-4501 119 22 traditional traditional ADJ american_scientific_journal-4501 119 23 mmse mmse ADJ american_scientific_journal-4501 119 24 detector detector NOUN american_scientific_journal-4501 119 25 . . PUNCT american_scientific_journal-4501 120 1 the the DET american_scientific_journal-4501 120 2 simulation simulation NOUN american_scientific_journal-4501 120 3 results result NOUN american_scientific_journal-4501 120 4 revealed reveal VERB american_scientific_journal-4501 120 5 that that SCONJ american_scientific_journal-4501 120 6 ( ( PUNCT american_scientific_journal-4501 120 7 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 120 8 = = SYM american_scientific_journal-4501 120 9 14,𝑁𝑁𝑇𝑇 14,𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 120 10 = = SYM american_scientific_journal-4501 120 11 8) 8) NUM american_scientific_journal-4501 120 12 system system NOUN american_scientific_journal-4501 120 13 provides provide VERB american_scientific_journal-4501 120 14 the the DET american_scientific_journal-4501 120 15 best good ADJ american_scientific_journal-4501 120 16 ber ber NOUN american_scientific_journal-4501 120 17 performance performance NOUN american_scientific_journal-4501 120 18 . . PUNCT american_scientific_journal-4501 121 1 figure figure VERB american_scientific_journal-4501 121 2 6 6 NUM american_scientific_journal-4501 121 3 : : PUNCT american_scientific_journal-4501 121 4 the the DET american_scientific_journal-4501 121 5 ber ber NOUN american_scientific_journal-4501 121 6 versus versus ADP american_scientific_journal-4501 121 7 snr snr NOUN american_scientific_journal-4501 121 8 for for ADP american_scientific_journal-4501 121 9 different different ADJ american_scientific_journal-4501 121 10 array array NOUN american_scientific_journal-4501 121 11 sizes size NOUN american_scientific_journal-4501 121 12 ( ( PUNCT american_scientific_journal-4501 121 13 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 121 14 > > SYM american_scientific_journal-4501 121 15 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PROPN american_scientific_journal-4501 121 16 ) ) PUNCT american_scientific_journal-4501 121 17 synthesized synthesize VERB american_scientific_journal-4501 121 18 using use VERB american_scientific_journal-4501 121 19 the the DET american_scientific_journal-4501 121 20 same same ADJ american_scientific_journal-4501 121 21 number number NOUN american_scientific_journal-4501 121 22 of of ADP american_scientific_journal-4501 121 23 antenna antenna NOUN american_scientific_journal-4501 121 24 elements element NOUN american_scientific_journal-4501 121 25 𝑁𝑁𝑇𝑇 𝑁𝑁𝑇𝑇 PUNCT american_scientific_journal-4501 122 1 = = PUNCT american_scientific_journal-4501 122 2 𝑁𝑁𝑅𝑅 𝑁𝑁𝑅𝑅 NOUN american_scientific_journal-4501 122 3 = = SYM american_scientific_journal-4501 122 4 8 8 NUM american_scientific_journal-4501 122 5 compared compare VERB american_scientific_journal-4501 122 6 to to ADP american_scientific_journal-4501 122 7 the the DET american_scientific_journal-4501 122 8 traditional traditional ADJ american_scientific_journal-4501 122 9 mmse mmse ADJ american_scientific_journal-4501 122 10 detector detector NOUN american_scientific_journal-4501 122 11 in in ADP american_scientific_journal-4501 122 12 a a DET american_scientific_journal-4501 122 13 8 8 NUM american_scientific_journal-4501 122 14 Γ— Γ— NOUN american_scientific_journal-4501 122 15 8 8 NUM american_scientific_journal-4501 122 16 mimo mimo PROPN american_scientific_journal-4501 122 17 system system NOUN american_scientific_journal-4501 122 18 . . PUNCT american_scientific_journal-4501 123 1 figure figure VERB american_scientific_journal-4501 123 2 7 7 NUM american_scientific_journal-4501 123 3 : : PUNCT american_scientific_journal-4501 123 4 the the DET american_scientific_journal-4501 123 5 ber ber NOUN american_scientific_journal-4501 123 6 performance performance NOUN american_scientific_journal-4501 123 7 degradation degradation NOUN american_scientific_journal-4501 123 8 of of ADP american_scientific_journal-4501 123 9 the the DET american_scientific_journal-4501 123 10 proposed propose VERB american_scientific_journal-4501 123 11 mmse mmse ADJ american_scientific_journal-4501 123 12 detector detector NOUN american_scientific_journal-4501 123 13 at at ADP american_scientific_journal-4501 123 14 ( ( PUNCT american_scientific_journal-4501 123 15 𝑀𝑀 𝑀𝑀 PROPN american_scientific_journal-4501 123 16 β‰₯ β‰₯ NOUN american_scientific_journal-4501 123 17 15,𝑁𝑁𝑇𝑇 15,𝑁𝑁𝑇𝑇 NOUN american_scientific_journal-4501 123 18 = = SYM american_scientific_journal-4501 123 19 8) 8) NUM american_scientific_journal-4501 123 20 for for ADP american_scientific_journal-4501 123 21 a a DET american_scientific_journal-4501 123 22 8 8 NUM american_scientific_journal-4501 123 23 Γ— Γ— NOUN american_scientific_journal-4501 123 24 8 8 NUM american_scientific_journal-4501 123 25 mimo mimo NOUN american_scientific_journal-4501 123 26 system system NOUN american_scientific_journal-4501 123 27 . . PUNCT american_scientific_journal-4501 124 1 5 5 X american_scientific_journal-4501 124 2 . . X american_scientific_journal-4501 124 3 conclusion conclusion NOUN american_scientific_journal-4501 124 4 in in ADP american_scientific_journal-4501 124 5 this this DET american_scientific_journal-4501 124 6 paper paper NOUN american_scientific_journal-4501 124 7 , , PUNCT american_scientific_journal-4501 124 8 new new ADJ american_scientific_journal-4501 124 9 detection detection NOUN american_scientific_journal-4501 124 10 techniques technique NOUN american_scientific_journal-4501 124 11 based base VERB american_scientific_journal-4501 124 12 on on ADP american_scientific_journal-4501 124 13 antenna antenna NOUN american_scientific_journal-4501 124 14 arrays array VERB american_scientific_journal-4501 124 15 synthesis synthesis NOUN american_scientific_journal-4501 124 16 for for ADP american_scientific_journal-4501 124 17 maximum maximum ADJ american_scientific_journal-4501 124 18 gain gain NOUN american_scientific_journal-4501 124 19 have have AUX american_scientific_journal-4501 124 20 been be AUX american_scientific_journal-4501 124 21 introduced introduce VERB american_scientific_journal-4501 124 22 . . PUNCT american_scientific_journal-4501 125 1 the the DET american_scientific_journal-4501 125 2 achieved achieve VERB american_scientific_journal-4501 125 3 array array NOUN american_scientific_journal-4501 125 4 gain gain NOUN american_scientific_journal-4501 125 5 significantly significantly ADV american_scientific_journal-4501 125 6 enhanced enhance VERB american_scientific_journal-4501 125 7 the the DET american_scientific_journal-4501 125 8 signal signal NOUN american_scientific_journal-4501 125 9 to to PART american_scientific_journal-4501 125 10 noise noise VERB american_scientific_journal-4501 125 11 ratio ratio NOUN american_scientific_journal-4501 125 12 of of ADP american_scientific_journal-4501 125 13 the the DET american_scientific_journal-4501 125 14 system system NOUN american_scientific_journal-4501 125 15 giving give VERB american_scientific_journal-4501 125 16 rise rise NOUN american_scientific_journal-4501 125 17 to to ADP american_scientific_journal-4501 125 18 better well ADJ american_scientific_journal-4501 125 19 ber ber NOUN american_scientific_journal-4501 125 20 performance performance NOUN american_scientific_journal-4501 125 21 . . PUNCT american_scientific_journal-4501 126 1 to to PART american_scientific_journal-4501 126 2 verify verify VERB american_scientific_journal-4501 126 3 the the DET american_scientific_journal-4501 126 4 effectiveness effectiveness NOUN american_scientific_journal-4501 126 5 of of ADP american_scientific_journal-4501 126 6 the the DET american_scientific_journal-4501 126 7 proposed propose VERB american_scientific_journal-4501 126 8 technique technique NOUN american_scientific_journal-4501 126 9 , , PUNCT american_scientific_journal-4501 126 10 the the DET american_scientific_journal-4501 126 11 new new ADJ american_scientific_journal-4501 126 12 signal signal NOUN american_scientific_journal-4501 126 13 model model NOUN american_scientific_journal-4501 126 14 is be AUX american_scientific_journal-4501 126 15 applied apply VERB american_scientific_journal-4501 126 16 american american ADJ american_scientific_journal-4501 126 17 scientific scientific ADJ american_scientific_journal-4501 126 18 research research NOUN american_scientific_journal-4501 126 19 journal journal NOUN american_scientific_journal-4501 126 20 for for ADP american_scientific_journal-4501 126 21 engineering engineering NOUN american_scientific_journal-4501 126 22 , , PUNCT american_scientific_journal-4501 126 23 technology technology NOUN american_scientific_journal-4501 126 24 , , PUNCT american_scientific_journal-4501 126 25 and and CCONJ american_scientific_journal-4501 126 26 sciences science NOUN american_scientific_journal-4501 126 27 ( ( PUNCT american_scientific_journal-4501 126 28 asrjets asrjet NOUN american_scientific_journal-4501 126 29 ) ) PUNCT american_scientific_journal-4501 126 30 ( ( PUNCT american_scientific_journal-4501 126 31 2018 2018 NUM american_scientific_journal-4501 126 32 ) ) PUNCT american_scientific_journal-4501 126 33 volume volume NOUN american_scientific_journal-4501 126 34 49 49 NUM american_scientific_journal-4501 126 35 , , PUNCT american_scientific_journal-4501 126 36 no no DET american_scientific_journal-4501 126 37 1 1 NUM american_scientific_journal-4501 126 38 , , PUNCT american_scientific_journal-4501 126 39 pp pp ADV american_scientific_journal-4501 126 40 95 95 NUM american_scientific_journal-4501 126 41 - - SYM american_scientific_journal-4501 126 42 105 105 NUM american_scientific_journal-4501 126 43 105 105 NUM american_scientific_journal-4501 126 44 for for ADP american_scientific_journal-4501 126 45 both both DET american_scientific_journal-4501 126 46 zero zero NUM american_scientific_journal-4501 126 47 forcing forcing NOUN american_scientific_journal-4501 126 48 and and CCONJ american_scientific_journal-4501 126 49 minimum minimum ADJ american_scientific_journal-4501 126 50 mean mean NOUN american_scientific_journal-4501 126 51 square square NOUN american_scientific_journal-4501 126 52 error error NOUN american_scientific_journal-4501 126 53 detectors detector NOUN american_scientific_journal-4501 126 54 . . PUNCT american_scientific_journal-4501 127 1 the the DET american_scientific_journal-4501 127 2 simulation simulation NOUN american_scientific_journal-4501 127 3 results result NOUN american_scientific_journal-4501 127 4 revealed reveal VERB american_scientific_journal-4501 127 5 that that SCONJ american_scientific_journal-4501 127 6 the the DET american_scientific_journal-4501 127 7 proposed propose VERB american_scientific_journal-4501 127 8 system system NOUN american_scientific_journal-4501 127 9 outperforms outperform VERB american_scientific_journal-4501 127 10 the the DET american_scientific_journal-4501 127 11 traditional traditional ADJ american_scientific_journal-4501 127 12 zf zf PROPN american_scientific_journal-4501 127 13 and and CCONJ american_scientific_journal-4501 127 14 mmse mmse ADJ american_scientific_journal-4501 127 15 detectors detector NOUN american_scientific_journal-4501 127 16 . . PUNCT american_scientific_journal-4501 128 1 but but CCONJ american_scientific_journal-4501 128 2 , , PUNCT american_scientific_journal-4501 128 3 the the DET american_scientific_journal-4501 128 4 proposed propose VERB american_scientific_journal-4501 128 5 system system NOUN american_scientific_journal-4501 128 6 performance performance NOUN american_scientific_journal-4501 128 7 is be AUX american_scientific_journal-4501 128 8 highly highly ADV american_scientific_journal-4501 128 9 degraded degraded ADJ american_scientific_journal-4501 128 10 with with ADP american_scientific_journal-4501 128 11 the the DET american_scientific_journal-4501 128 12 appearance appearance NOUN american_scientific_journal-4501 128 13 of of ADP american_scientific_journal-4501 128 14 the the DET american_scientific_journal-4501 128 15 grating grate VERB american_scientific_journal-4501 128 16 lobes lobe NOUN american_scientific_journal-4501 128 17 . . PUNCT american_scientific_journal-4501 129 1 references reference NOUN american_scientific_journal-4501 129 2 [ [ X american_scientific_journal-4501 129 3 1 1 NUM american_scientific_journal-4501 129 4 ] ] PUNCT american_scientific_journal-4501 129 5 a. a. NOUN american_scientific_journal-4501 129 6 sridhanya sridhanya PROPN american_scientific_journal-4501 129 7 , , PUNCT american_scientific_journal-4501 129 8 y. y. PROPN american_scientific_journal-4501 129 9 abhiram abhiram PROPN american_scientific_journal-4501 129 10 , , PUNCT american_scientific_journal-4501 129 11 p. p. NOUN american_scientific_journal-4501 129 12 guru guru NOUN american_scientific_journal-4501 129 13 , , PUNCT american_scientific_journal-4501 129 14 and and CCONJ american_scientific_journal-4501 129 15 s. s. PROPN american_scientific_journal-4501 129 16 varsha varsha PROPN american_scientific_journal-4501 129 17 , , PUNCT american_scientific_journal-4501 129 18 ” " PUNCT american_scientific_journal-4501 129 19 on on ADP american_scientific_journal-4501 129 20 the the DET american_scientific_journal-4501 129 21 design design NOUN american_scientific_journal-4501 129 22 of of ADP american_scientific_journal-4501 129 23 mimo mimo PROPN american_scientific_journal-4501 129 24 - - PUNCT american_scientific_journal-4501 129 25 ofdm ofdm PROPN american_scientific_journal-4501 129 26 transceivers transceiver NOUN american_scientific_journal-4501 129 27 via via ADP american_scientific_journal-4501 129 28 geometric geometric ADJ american_scientific_journal-4501 129 29 mean mean NOUN american_scientific_journal-4501 129 30 decomposition decomposition NOUN american_scientific_journal-4501 129 31 ” " PUNCT american_scientific_journal-4501 129 32 , , PUNCT american_scientific_journal-4501 129 33 international international ADJ american_scientific_journal-4501 129 34 journal journal NOUN american_scientific_journal-4501 129 35 of of ADP american_scientific_journal-4501 129 36 computer computer NOUN american_scientific_journal-4501 129 37 applications application NOUN american_scientific_journal-4501 129 38 , , PUNCT american_scientific_journal-4501 129 39 vol vol NOUN american_scientific_journal-4501 129 40 . . PROPN american_scientific_journal-4501 129 41 43 43 NUM american_scientific_journal-4501 129 42 , , PUNCT american_scientific_journal-4501 129 43 no no INTJ american_scientific_journal-4501 129 44 . . NOUN american_scientific_journal-4501 129 45 19 19 NUM american_scientific_journal-4501 129 46 , , PUNCT american_scientific_journal-4501 129 47 april april PROPN american_scientific_journal-4501 129 48 , , PUNCT american_scientific_journal-4501 129 49 2012 2012 NUM american_scientific_journal-4501 129 50 . . PUNCT american_scientific_journal-4501 130 1 [ [ X american_scientific_journal-4501 130 2 2 2 NUM american_scientific_journal-4501 130 3 ] ] PUNCT american_scientific_journal-4501 130 4 m. m. NOUN american_scientific_journal-4501 130 5 o. o. PROPN american_scientific_journal-4501 130 6 damen damen PROPN american_scientific_journal-4501 130 7 , , PUNCT american_scientific_journal-4501 130 8 h. h. PROPN american_scientific_journal-4501 130 9 e. e. PROPN american_scientific_journal-4501 130 10 gamal gamal PROPN american_scientific_journal-4501 130 11 , , PUNCT american_scientific_journal-4501 130 12 and and CCONJ american_scientific_journal-4501 130 13 g. g. PROPN american_scientific_journal-4501 130 14 caire caire PROPN american_scientific_journal-4501 130 15 , , PUNCT american_scientific_journal-4501 130 16 β€œ " PUNCT american_scientific_journal-4501 130 17 on on ADP american_scientific_journal-4501 130 18 maximum maximum ADJ american_scientific_journal-4501 130 19 - - PUNCT american_scientific_journal-4501 130 20 likelihood likelihood NOUN american_scientific_journal-4501 130 21 detection detection NOUN american_scientific_journal-4501 130 22 and and CCONJ american_scientific_journal-4501 130 23 the the DET american_scientific_journal-4501 130 24 search search NOUN american_scientific_journal-4501 130 25 for for ADP american_scientific_journal-4501 130 26 the the DET american_scientific_journal-4501 130 27 closest close ADJ american_scientific_journal-4501 130 28 lattice lattice NOUN american_scientific_journal-4501 130 29 point point NOUN american_scientific_journal-4501 130 30 , , PUNCT american_scientific_journal-4501 130 31 ” " PUNCT american_scientific_journal-4501 130 32 ieee ieee NOUN american_scientific_journal-4501 130 33 trans trans PROPN american_scientific_journal-4501 130 34 . . PROPN american_scientific_journal-4501 130 35 inf inf PROPN american_scientific_journal-4501 130 36 . . PUNCT american_scientific_journal-4501 131 1 theory theory NOUN american_scientific_journal-4501 131 2 , , PUNCT american_scientific_journal-4501 131 3 vol vol NOUN american_scientific_journal-4501 131 4 . . PROPN american_scientific_journal-4501 131 5 49 49 NUM american_scientific_journal-4501 131 6 , , PUNCT american_scientific_journal-4501 131 7 pp pp ADJ american_scientific_journal-4501 131 8 . . PUNCT american_scientific_journal-4501 132 1 2389 2389 NUM american_scientific_journal-4501 132 2 - - SYM american_scientific_journal-4501 132 3 2402 2402 NUM american_scientific_journal-4501 132 4 , , PUNCT american_scientific_journal-4501 132 5 oct oct PROPN american_scientific_journal-4501 132 6 . . PROPN american_scientific_journal-4501 132 7 2003 2003 NUM american_scientific_journal-4501 132 8 . . PUNCT american_scientific_journal-4501 133 1 [ [ X american_scientific_journal-4501 133 2 3 3 X american_scientific_journal-4501 133 3 ] ] X american_scientific_journal-4501 133 4 l. l. PROPN american_scientific_journal-4501 133 5 g. g. PROPN american_scientific_journal-4501 133 6 barbero barbero PROPN american_scientific_journal-4501 133 7 , , PUNCT american_scientific_journal-4501 133 8 and and CCONJ american_scientific_journal-4501 133 9 j. j. PROPN american_scientific_journal-4501 133 10 s. s. PROPN american_scientific_journal-4501 133 11 thompson thompson PROPN american_scientific_journal-4501 133 12 , , PUNCT american_scientific_journal-4501 133 13 β€œ " PUNCT american_scientific_journal-4501 133 14 fixing fix VERB american_scientific_journal-4501 133 15 the the DET american_scientific_journal-4501 133 16 complexity complexity NOUN american_scientific_journal-4501 133 17 of of ADP american_scientific_journal-4501 133 18 the the DET american_scientific_journal-4501 133 19 sphere sphere NOUN american_scientific_journal-4501 133 20 decoder decoder NOUN american_scientific_journal-4501 133 21 for for ADP american_scientific_journal-4501 133 22 mimo mimo PROPN american_scientific_journal-4501 133 23 detection detection PROPN american_scientific_journal-4501 133 24 ” " PUNCT american_scientific_journal-4501 133 25 ieee ieee PROPN american_scientific_journal-4501 133 26 trans tran NOUN american_scientific_journal-4501 133 27 . . PUNCT american_scientific_journal-4501 134 1 wireless wireless PROPN american_scientific_journal-4501 134 2 commun commun PROPN american_scientific_journal-4501 134 3 . . PROPN american_scientific_journal-4501 134 4 , , PUNCT american_scientific_journal-4501 134 5 vol vol NOUN american_scientific_journal-4501 134 6 . . PROPN american_scientific_journal-4501 135 1 7 7 NUM american_scientific_journal-4501 135 2 , , PUNCT american_scientific_journal-4501 135 3 pp pp ADJ american_scientific_journal-4501 135 4 . . PUNCT american_scientific_journal-4501 136 1 2131 2131 NUM american_scientific_journal-4501 136 2 - - SYM american_scientific_journal-4501 136 3 2142 2142 NUM american_scientific_journal-4501 136 4 , , PUNCT american_scientific_journal-4501 136 5 june june PROPN american_scientific_journal-4501 136 6 2008 2008 NUM american_scientific_journal-4501 136 7 . . PUNCT american_scientific_journal-4501 137 1 [ [ X american_scientific_journal-4501 137 2 4 4 NUM american_scientific_journal-4501 137 3 ] ] X american_scientific_journal-4501 137 4 f. f. PROPN american_scientific_journal-4501 137 5 fisher fisher PROPN american_scientific_journal-4501 137 6 , , PUNCT american_scientific_journal-4501 137 7 and and CCONJ american_scientific_journal-4501 137 8 c. c. PROPN american_scientific_journal-4501 137 9 windpassinger windpassinger NOUN american_scientific_journal-4501 137 10 , , PUNCT american_scientific_journal-4501 137 11 β€œ " PUNCT american_scientific_journal-4501 137 12 real real ADJ american_scientific_journal-4501 137 13 versus versus ADP american_scientific_journal-4501 137 14 complex complex ADV american_scientific_journal-4501 137 15 - - PUNCT american_scientific_journal-4501 137 16 valued value VERB american_scientific_journal-4501 137 17 equalization equalization NOUN american_scientific_journal-4501 137 18 in in ADP american_scientific_journal-4501 137 19 v v NOUN american_scientific_journal-4501 137 20 - - PUNCT american_scientific_journal-4501 137 21 blast blast NOUN american_scientific_journal-4501 137 22 systems system NOUN american_scientific_journal-4501 137 23 , , PUNCT american_scientific_journal-4501 137 24 ” " PUNCT american_scientific_journal-4501 137 25 iet iet PROPN american_scientific_journal-4501 137 26 electron electron PROPN american_scientific_journal-4501 137 27 lett lett PROPN american_scientific_journal-4501 137 28 . . PROPN american_scientific_journal-4501 137 29 , , PUNCT american_scientific_journal-4501 137 30 vol vol NOUN american_scientific_journal-4501 137 31 . . PROPN american_scientific_journal-4501 137 32 39 39 NUM american_scientific_journal-4501 137 33 , , PUNCT american_scientific_journal-4501 137 34 no no INTJ american_scientific_journal-4501 137 35 . . NOUN american_scientific_journal-4501 137 36 5 5 NUM american_scientific_journal-4501 137 37 , , PUNCT american_scientific_journal-4501 137 38 pp pp ADJ american_scientific_journal-4501 137 39 . . PUNCT american_scientific_journal-4501 138 1 470 470 NUM american_scientific_journal-4501 138 2 - - SYM american_scientific_journal-4501 138 3 471 471 NUM american_scientific_journal-4501 138 4 , , PUNCT american_scientific_journal-4501 138 5 mar mar PROPN american_scientific_journal-4501 138 6 . . PROPN american_scientific_journal-4501 138 7 2003 2003 NUM american_scientific_journal-4501 138 8 . . PUNCT american_scientific_journal-4501 139 1 [ [ X american_scientific_journal-4501 139 2 5 5 X american_scientific_journal-4501 139 3 ] ] PUNCT american_scientific_journal-4501 139 4 h. h. PROPN american_scientific_journal-4501 139 5 najafi najafi PROPN american_scientific_journal-4501 139 6 , , PUNCT american_scientific_journal-4501 139 7 and and CCONJ american_scientific_journal-4501 139 8 m. m. NOUN american_scientific_journal-4501 139 9 o. o. PROPN american_scientific_journal-4501 139 10 damen damen PROPN american_scientific_journal-4501 139 11 , , PUNCT american_scientific_journal-4501 139 12 " " PUNCT american_scientific_journal-4501 139 13 lattice lattice NOUN american_scientific_journal-4501 139 14 - - PUNCT american_scientific_journal-4501 139 15 reduction reduction NOUN american_scientific_journal-4501 139 16 - - PUNCT american_scientific_journal-4501 139 17 aided aid VERB american_scientific_journal-4501 139 18 conditional conditional ADJ american_scientific_journal-4501 139 19 detection detection NOUN american_scientific_journal-4501 139 20 for for ADP american_scientific_journal-4501 139 21 mimo mimo PROPN american_scientific_journal-4501 139 22 systems system NOUN american_scientific_journal-4501 139 23 , , PUNCT american_scientific_journal-4501 139 24 " " PUNCT american_scientific_journal-4501 139 25 in in ADP american_scientific_journal-4501 139 26 communications communication NOUN american_scientific_journal-4501 139 27 , , PUNCT american_scientific_journal-4501 139 28 ieee ieee NOUN american_scientific_journal-4501 139 29 transactions transaction NOUN american_scientific_journal-4501 139 30 on on ADP american_scientific_journal-4501 139 31 , , PUNCT american_scientific_journal-4501 139 32 vol.62 vol.62 NOUN american_scientific_journal-4501 139 33 , , PUNCT american_scientific_journal-4501 139 34 no.11 no.11 NOUN american_scientific_journal-4501 139 35 , , PUNCT american_scientific_journal-4501 139 36 pp.3864 pp.3864 PROPN american_scientific_journal-4501 139 37 - - PUNCT american_scientific_journal-4501 139 38 3873 3873 NUM american_scientific_journal-4501 139 39 , , PUNCT american_scientific_journal-4501 139 40 nov nov PROPN american_scientific_journal-4501 139 41 . . PROPN american_scientific_journal-4501 139 42 2014 2014 NUM american_scientific_journal-4501 139 43 . . PUNCT american_scientific_journal-4501 140 1 [ [ X american_scientific_journal-4501 140 2 6 6 NUM american_scientific_journal-4501 140 3 ] ] X american_scientific_journal-4501 140 4 y. y. PROPN american_scientific_journal-4501 140 5 liu liu PROPN american_scientific_journal-4501 140 6 , , PUNCT american_scientific_journal-4501 140 7 z. z. PROPN american_scientific_journal-4501 140 8 nie nie PROPN american_scientific_journal-4501 140 9 , , PUNCT american_scientific_journal-4501 140 10 and and CCONJ american_scientific_journal-4501 140 11 q. q. PROPN american_scientific_journal-4501 140 12 h. h. PROPN american_scientific_journal-4501 140 13 liu liu PROPN american_scientific_journal-4501 140 14 , , PUNCT american_scientific_journal-4501 140 15 " " PUNCT american_scientific_journal-4501 140 16 reducing reduce VERB american_scientific_journal-4501 140 17 the the DET american_scientific_journal-4501 140 18 number number NOUN american_scientific_journal-4501 140 19 of of ADP american_scientific_journal-4501 140 20 elements element NOUN american_scientific_journal-4501 140 21 in in ADP american_scientific_journal-4501 140 22 a a DET american_scientific_journal-4501 140 23 linear linear ADJ american_scientific_journal-4501 140 24 antenna antenna NOUN american_scientific_journal-4501 140 25 array array NOUN american_scientific_journal-4501 140 26 by by ADP american_scientific_journal-4501 140 27 the the DET american_scientific_journal-4501 140 28 matrix matrix NOUN american_scientific_journal-4501 140 29 pencil pencil NOUN american_scientific_journal-4501 140 30 method method NOUN american_scientific_journal-4501 140 31 , , PUNCT american_scientific_journal-4501 140 32 " " PUNCT american_scientific_journal-4501 140 33 ieee ieee NOUN american_scientific_journal-4501 140 34 trans tran NOUN american_scientific_journal-4501 140 35 . . PUNCT american_scientific_journal-4501 141 1 antennas antennas PROPN american_scientific_journal-4501 141 2 propag propag PROPN american_scientific_journal-4501 141 3 . . PUNCT american_scientific_journal-4501 142 1 , , PUNCT american_scientific_journal-4501 142 2 vol.56 vol.56 ADV american_scientific_journal-4501 142 3 , , PUNCT american_scientific_journal-4501 142 4 no.9 no.9 ADV american_scientific_journal-4501 142 5 , , PUNCT american_scientific_journal-4501 142 6 pp.2955 pp.2955 PROPN american_scientific_journal-4501 142 7 - - PUNCT american_scientific_journal-4501 142 8 2962 2962 NUM american_scientific_journal-4501 142 9 , , PUNCT american_scientific_journal-4501 142 10 sept sept PROPN american_scientific_journal-4501 142 11 . . PROPN american_scientific_journal-4501 142 12 2008 2008 NUM american_scientific_journal-4501 142 13 . . PUNCT american_scientific_journal-4501 143 1 [ [ X american_scientific_journal-4501 143 2 7 7 X american_scientific_journal-4501 143 3 ] ] X american_scientific_journal-4501 143 4 y. y. PROPN american_scientific_journal-4501 143 5 liu liu PROPN american_scientific_journal-4501 143 6 , , PUNCT american_scientific_journal-4501 143 7 q. q. PROPN american_scientific_journal-4501 143 8 h. h. PROPN american_scientific_journal-4501 143 9 liu liu PROPN american_scientific_journal-4501 143 10 , , PUNCT american_scientific_journal-4501 143 11 and and CCONJ american_scientific_journal-4501 143 12 z. z. PROPN american_scientific_journal-4501 143 13 nie nie PROPN american_scientific_journal-4501 143 14 , , PUNCT american_scientific_journal-4501 143 15 " " PUNCT american_scientific_journal-4501 143 16 reducing reduce VERB american_scientific_journal-4501 143 17 the the DET american_scientific_journal-4501 143 18 number number NOUN american_scientific_journal-4501 143 19 of of ADP american_scientific_journal-4501 143 20 elements element NOUN american_scientific_journal-4501 143 21 in in ADP american_scientific_journal-4501 143 22 the the DET american_scientific_journal-4501 143 23 synthesis synthesis NOUN american_scientific_journal-4501 143 24 of of ADP american_scientific_journal-4501 143 25 shaped shaped ADJ american_scientific_journal-4501 143 26 - - PUNCT american_scientific_journal-4501 143 27 beam beam NOUN american_scientific_journal-4501 143 28 patterns pattern NOUN american_scientific_journal-4501 143 29 by by ADP american_scientific_journal-4501 143 30 the the DET american_scientific_journal-4501 143 31 forward forward ADJ american_scientific_journal-4501 143 32 - - PUNCT american_scientific_journal-4501 143 33 backward backward ADJ american_scientific_journal-4501 143 34 matrix matrix NOUN american_scientific_journal-4501 143 35 pencil pencil NOUN american_scientific_journal-4501 143 36 method method NOUN american_scientific_journal-4501 143 37 , , PUNCT american_scientific_journal-4501 143 38 " " PUNCT american_scientific_journal-4501 143 39 ieee ieee NOUN american_scientific_journal-4501 143 40 trans tran NOUN american_scientific_journal-4501 143 41 . . PUNCT american_scientific_journal-4501 144 1 antennas antennas PROPN american_scientific_journal-4501 144 2 propag propag PROPN american_scientific_journal-4501 144 3 . . PUNCT american_scientific_journal-4501 144 4 , , PUNCT american_scientific_journal-4501 144 5 vol vol NOUN american_scientific_journal-4501 144 6 . . PROPN american_scientific_journal-4501 145 1 58 58 NUM american_scientific_journal-4501 145 2 , , PUNCT american_scientific_journal-4501 145 3 no no INTJ american_scientific_journal-4501 145 4 . . NOUN american_scientific_journal-4501 145 5 2 2 NUM american_scientific_journal-4501 145 6 , , PUNCT american_scientific_journal-4501 145 7 pp pp ADJ american_scientific_journal-4501 145 8 . . PUNCT american_scientific_journal-4501 146 1 604 604 NUM american_scientific_journal-4501 146 2 - - SYM american_scientific_journal-4501 146 3 608 608 NUM american_scientific_journal-4501 146 4 , , PUNCT american_scientific_journal-4501 146 5 nov nov PROPN american_scientific_journal-4501 146 6 . . PROPN american_scientific_journal-4501 146 7 2010 2010 NUM american_scientific_journal-4501 146 8 . . PUNCT american_scientific_journal-4501 147 1 [ [ X american_scientific_journal-4501 147 2 8 8 NUM american_scientific_journal-4501 147 3 ] ] X american_scientific_journal-4501 147 4 y. y. PROPN american_scientific_journal-4501 147 5 liu liu PROPN american_scientific_journal-4501 147 6 , , PUNCT american_scientific_journal-4501 147 7 z. z. PROPN american_scientific_journal-4501 147 8 nie nie PROPN american_scientific_journal-4501 147 9 , , PUNCT american_scientific_journal-4501 147 10 and and CCONJ american_scientific_journal-4501 147 11 q. q. PROPN american_scientific_journal-4501 147 12 h. h. PROPN american_scientific_journal-4501 147 13 liu liu PROPN american_scientific_journal-4501 147 14 , , PUNCT american_scientific_journal-4501 147 15 " " PUNCT american_scientific_journal-4501 147 16 a a DET american_scientific_journal-4501 147 17 new new ADJ american_scientific_journal-4501 147 18 method method NOUN american_scientific_journal-4501 147 19 for for ADP american_scientific_journal-4501 147 20 the the DET american_scientific_journal-4501 147 21 synthesis synthesis NOUN american_scientific_journal-4501 147 22 of of ADP american_scientific_journal-4501 147 23 non non ADJ american_scientific_journal-4501 147 24 - - ADJ american_scientific_journal-4501 147 25 uniform uniform ADJ american_scientific_journal-4501 147 26 linear linear PROPN american_scientific_journal-4501 147 27 arrays array VERB american_scientific_journal-4501 147 28 with with ADP american_scientific_journal-4501 147 29 shaped shape VERB american_scientific_journal-4501 147 30 power power NOUN american_scientific_journal-4501 147 31 patterns pattern NOUN american_scientific_journal-4501 147 32 , , PUNCT american_scientific_journal-4501 147 33 " " PUNCT american_scientific_journal-4501 147 34 progress progress NOUN american_scientific_journal-4501 147 35 in in ADP american_scientific_journal-4501 147 36 electromagnetics electromagnetic NOUN american_scientific_journal-4501 147 37 research research NOUN american_scientific_journal-4501 147 38 , , PUNCT american_scientific_journal-4501 147 39 vol vol NOUN american_scientific_journal-4501 147 40 . . PUNCT american_scientific_journal-4501 148 1 107 107 NUM american_scientific_journal-4501 148 2 , , PUNCT american_scientific_journal-4501 148 3 pp pp ADJ american_scientific_journal-4501 148 4 . . PUNCT american_scientific_journal-4501 149 1 349 349 NUM american_scientific_journal-4501 149 2 - - SYM american_scientific_journal-4501 149 3 363 363 NUM american_scientific_journal-4501 149 4 , , PUNCT american_scientific_journal-4501 149 5 aug aug PROPN american_scientific_journal-4501 149 6 . . PROPN american_scientific_journal-4501 149 7 2010 2010 NUM american_scientific_journal-4501 149 8 . . PUNCT american_scientific_journal-4501 150 1 [ [ X american_scientific_journal-4501 150 2 9 9 NUM american_scientific_journal-4501 150 3 ] ] PUNCT american_scientific_journal-4501 150 4 b. b. PROPN american_scientific_journal-4501 150 5 p. p. PROPN american_scientific_journal-4501 150 6 kumar kumar PROPN american_scientific_journal-4501 150 7 , , PUNCT american_scientific_journal-4501 150 8 and and CCONJ american_scientific_journal-4501 150 9 g. g. PROPN american_scientific_journal-4501 150 10 r. r. PROPN american_scientific_journal-4501 150 11 branner branner PROPN american_scientific_journal-4501 150 12 , , PUNCT american_scientific_journal-4501 150 13 β€œ " PUNCT american_scientific_journal-4501 150 14 design design NOUN american_scientific_journal-4501 150 15 of of ADP american_scientific_journal-4501 150 16 unequally unequally ADV american_scientific_journal-4501 150 17 spaced space VERB american_scientific_journal-4501 150 18 arrays array NOUN american_scientific_journal-4501 150 19 for for ADP american_scientific_journal-4501 150 20 performance performance NOUN american_scientific_journal-4501 150 21 improvement improvement NOUN american_scientific_journal-4501 150 22 , , PUNCT american_scientific_journal-4501 150 23 ” " PUNCT american_scientific_journal-4501 150 24 ieee ieee NOUN american_scientific_journal-4501 150 25 trans tran NOUN american_scientific_journal-4501 150 26 . . PUNCT american_scientific_journal-4501 151 1 antennas antennas PROPN american_scientific_journal-4501 151 2 propag propag PROPN american_scientific_journal-4501 151 3 . . PUNCT american_scientific_journal-4501 152 1 , , PUNCT american_scientific_journal-4501 152 2 vol vol NOUN american_scientific_journal-4501 152 3 . . PROPN american_scientific_journal-4501 153 1 47 47 NUM american_scientific_journal-4501 153 2 , , PUNCT american_scientific_journal-4501 153 3 no.3 no.3 VERB american_scientific_journal-4501 153 4 , , PUNCT american_scientific_journal-4501 153 5 pp pp X american_scientific_journal-4501 153 6 . . PUNCT american_scientific_journal-4501 154 1 511–523 511–523 NUM american_scientific_journal-4501 154 2 , , PUNCT american_scientific_journal-4501 154 3 mar mar PROPN american_scientific_journal-4501 154 4 . . PROPN american_scientific_journal-4501 154 5 1999 1999 NUM american_scientific_journal-4501 154 6 . . PUNCT american_scientific_journal-4501 155 1 [ [ X american_scientific_journal-4501 155 2 10 10 NUM american_scientific_journal-4501 155 3 ] ] PUNCT american_scientific_journal-4501 155 4 a. a. NOUN american_scientific_journal-4501 155 5 h. h. PROPN american_scientific_journal-4501 155 6 hussein hussein PROPN american_scientific_journal-4501 155 7 , , PUNCT american_scientific_journal-4501 155 8 h. h. PROPN american_scientific_journal-4501 155 9 h. h. PROPN american_scientific_journal-4501 155 10 abdullah abdullah PROPN american_scientific_journal-4501 155 11 , , PUNCT american_scientific_journal-4501 155 12 a. a. PROPN american_scientific_journal-4501 155 13 m. m. PROPN american_scientific_journal-4501 155 14 salem salem PROPN american_scientific_journal-4501 155 15 , , PUNCT american_scientific_journal-4501 155 16 s. s. PROPN american_scientific_journal-4501 155 17 khamis khamis PROPN american_scientific_journal-4501 155 18 , , PUNCT american_scientific_journal-4501 155 19 and and CCONJ american_scientific_journal-4501 155 20 m. m. PROPN american_scientific_journal-4501 155 21 nasr nasr PROPN american_scientific_journal-4501 155 22 , , PUNCT american_scientific_journal-4501 155 23 " " PUNCT american_scientific_journal-4501 155 24 optimum optimum ADJ american_scientific_journal-4501 155 25 design design NOUN american_scientific_journal-4501 155 26 of of ADP american_scientific_journal-4501 155 27 linear linear ADJ american_scientific_journal-4501 155 28 antenna antenna NOUN american_scientific_journal-4501 155 29 arrays array VERB american_scientific_journal-4501 155 30 using use VERB american_scientific_journal-4501 155 31 a a DET american_scientific_journal-4501 155 32 hybrid hybrid ADJ american_scientific_journal-4501 155 33 mom mom NOUN american_scientific_journal-4501 155 34 / / SYM american_scientific_journal-4501 155 35 ga ga PROPN american_scientific_journal-4501 155 36 algorithm algorithm NOUN american_scientific_journal-4501 155 37 , , PUNCT american_scientific_journal-4501 155 38 " " PUNCT american_scientific_journal-4501 155 39 ieee ieee NOUN american_scientific_journal-4501 155 40 , , PUNCT american_scientific_journal-4501 155 41 antennas antenna NOUN american_scientific_journal-4501 155 42 and and CCONJ american_scientific_journal-4501 155 43 wireless wireless ADJ american_scientific_journal-4501 155 44 propagation propagation NOUN american_scientific_journal-4501 155 45 letters letter NOUN american_scientific_journal-4501 155 46 , , PUNCT american_scientific_journal-4501 155 47 vol.10 vol.10 NOUN american_scientific_journal-4501 155 48 , , PUNCT american_scientific_journal-4501 155 49 pp.1232 pp.1232 PROPN american_scientific_journal-4501 155 50 - - PUNCT american_scientific_journal-4501 155 51 1235 1235 NUM american_scientific_journal-4501 155 52 , , PUNCT american_scientific_journal-4501 155 53 oct oct PROPN american_scientific_journal-4501 155 54 . . PROPN american_scientific_journal-4501 155 55 , , PUNCT american_scientific_journal-4501 155 56 2011 2011 NUM american_scientific_journal-4501 155 57 . . PUNCT american_scientific_journal-4501 156 1 [ [ X american_scientific_journal-4501 156 2 11 11 NUM american_scientific_journal-4501 156 3 ] ] PUNCT american_scientific_journal-4501 156 4 s. s. PROPN american_scientific_journal-4501 156 5 c. c. PROPN american_scientific_journal-4501 156 6 yong yong PROPN american_scientific_journal-4501 156 7 , , PUNCT american_scientific_journal-4501 156 8 k. k. PROPN american_scientific_journal-4501 156 9 jaekwon jaekwon PROPN american_scientific_journal-4501 156 10 , , PUNCT american_scientific_journal-4501 156 11 y. y. PROPN american_scientific_journal-4501 156 12 y. y. PROPN american_scientific_journal-4501 156 13 won won PROPN american_scientific_journal-4501 156 14 , , PUNCT american_scientific_journal-4501 156 15 and and CCONJ american_scientific_journal-4501 156 16 g. g. PROPN american_scientific_journal-4501 156 17 k. k. PROPN american_scientific_journal-4501 156 18 chung chung PROPN american_scientific_journal-4501 156 19 , , PUNCT american_scientific_journal-4501 156 20 β€œ " PUNCT american_scientific_journal-4501 156 21 mimo mimo PROPN american_scientific_journal-4501 156 22 - - PUNCT american_scientific_journal-4501 156 23 ofdm ofdm PROPN american_scientific_journal-4501 156 24 wireless wireless NOUN american_scientific_journal-4501 156 25 communications communication NOUN american_scientific_journal-4501 156 26 with with ADP american_scientific_journal-4501 156 27 matlab matlab PROPN american_scientific_journal-4501 156 28 ” " PUNCT american_scientific_journal-4501 156 29 , , PUNCT american_scientific_journal-4501 156 30 john john PROPN american_scientific_journal-4501 156 31 wiley wiley PROPN american_scientific_journal-4501 156 32 & & CCONJ american_scientific_journal-4501 156 33 sons sons PROPN american_scientific_journal-4501 156 34 ( ( PUNCT american_scientific_journal-4501 156 35 asia asia PROPN american_scientific_journal-4501 156 36 ) ) PUNCT american_scientific_journal-4501 156 37 pte pte PROPN american_scientific_journal-4501 156 38 ltd ltd PROPN american_scientific_journal-4501 156 39 . . PROPN american_scientific_journal-4501 156 40 , , PUNCT american_scientific_journal-4501 156 41 2010 2010 NUM american_scientific_journal-4501 156 42 . . PUNCT