id sid tid token lemma pos ajst-17680 1 1 academic academic ADJ ajst-17680 1 2 journal journal NOUN ajst-17680 1 3 of of ADP ajst-17680 1 4 science science NOUN ajst-17680 1 5 and and CCONJ ajst-17680 1 6 technology technology NOUN ajst-17680 1 7 issn issn NOUN ajst-17680 1 8 : : PUNCT ajst-17680 1 9 2771 2771 NUM ajst-17680 1 10 - - SYM ajst-17680 1 11 3032 3032 NUM ajst-17680 1 12 | | NOUN ajst-17680 1 13 vol vol NOUN ajst-17680 1 14 . . PROPN ajst-17680 2 1 9 9 NUM ajst-17680 2 2 , , PUNCT ajst-17680 2 3 no no INTJ ajst-17680 2 4 . . NOUN ajst-17680 2 5 2 2 NUM ajst-17680 2 6 , , PUNCT ajst-17680 2 7 2024 2024 NUM ajst-17680 2 8 117 117 NUM ajst-17680 2 9 an an DET ajst-17680 2 10 aoa aoa PROPN ajst-17680 2 11 estimation estimation NOUN ajst-17680 2 12 algorithm algorithm NOUN ajst-17680 2 13 for for ADP ajst-17680 2 14 5 5 NUM ajst-17680 2 15 g g NOUN ajst-17680 2 16 positioning positioning NOUN ajst-17680 2 17 technology technology NOUN ajst-17680 2 18 zhifei zhifei PROPN ajst-17680 2 19 luo luo PROPN ajst-17680 2 20 * * PROPN ajst-17680 2 21 , , PUNCT ajst-17680 2 22 jun jun PROPN ajst-17680 2 23 dai dai PROPN ajst-17680 2 24 , , PUNCT ajst-17680 2 25 xuelin xuelin PROPN ajst-17680 2 26 han han PROPN ajst-17680 2 27 college college PROPN ajst-17680 2 28 of of ADP ajst-17680 2 29 electronic electronic ADJ ajst-17680 2 30 and and CCONJ ajst-17680 2 31 information information NOUN ajst-17680 2 32 , , PUNCT ajst-17680 2 33 southwest southwest PROPN ajst-17680 2 34 minzu minzu PROPN ajst-17680 2 35 university university PROPN ajst-17680 2 36 , , PUNCT ajst-17680 2 37 chengdu chengdu PROPN ajst-17680 2 38 , , PUNCT ajst-17680 2 39 sichuan sichuan PROPN ajst-17680 2 40 , , PUNCT ajst-17680 2 41 610041 610041 NUM ajst-17680 2 42 , , PUNCT ajst-17680 2 43 china china PROPN ajst-17680 2 44 * * PUNCT ajst-17680 2 45 corresponding correspond VERB ajst-17680 2 46 author author NOUN ajst-17680 2 47 : : PUNCT ajst-17680 2 48 zhifei zhifei PROPN ajst-17680 2 49 luo luo PROPN ajst-17680 2 50 ( ( PUNCT ajst-17680 2 51 email email NOUN ajst-17680 2 52 : : PUNCT ajst-17680 2 53 author@abcd.gov author@abcd.gov ADJ ajst-17680 2 54 ) ) PUNCT ajst-17680 2 55 abstract abstract NOUN ajst-17680 2 56 : : PUNCT ajst-17680 2 57 among among ADP ajst-17680 2 58 the the DET ajst-17680 2 59 many many ADJ ajst-17680 2 60 positioning positioning NOUN ajst-17680 2 61 technologies technology NOUN ajst-17680 2 62 , , PUNCT ajst-17680 2 63 aoa aoa PROPN ajst-17680 2 64 ( ( PUNCT ajst-17680 2 65 angle angle NOUN ajst-17680 2 66 of of ADP ajst-17680 2 67 arrival arrival NOUN ajst-17680 2 68 ) ) PUNCT ajst-17680 2 69 , , PUNCT ajst-17680 2 70 as as ADP ajst-17680 2 71 one one NUM ajst-17680 2 72 of of ADP ajst-17680 2 73 the the DET ajst-17680 2 74 most most ADV ajst-17680 2 75 basic basic ADJ ajst-17680 2 76 wireless wireless ADJ ajst-17680 2 77 positioning positioning NOUN ajst-17680 2 78 technologies technology NOUN ajst-17680 2 79 , , PUNCT ajst-17680 2 80 can can AUX ajst-17680 2 81 be be AUX ajst-17680 2 82 fused fuse VERB ajst-17680 2 83 with with ADP ajst-17680 2 84 other other ADJ ajst-17680 2 85 positioning positioning NOUN ajst-17680 2 86 technologies technology NOUN ajst-17680 2 87 to to PART ajst-17680 2 88 achieve achieve VERB ajst-17680 2 89 higher high ADJ ajst-17680 2 90 positioning positioning NOUN ajst-17680 2 91 accuracy accuracy NOUN ajst-17680 2 92 . . PUNCT ajst-17680 3 1 in in ADP ajst-17680 3 2 this this DET ajst-17680 3 3 paper paper NOUN ajst-17680 3 4 , , PUNCT ajst-17680 3 5 the the DET ajst-17680 3 6 principle principle NOUN ajst-17680 3 7 and and CCONJ ajst-17680 3 8 implementation implementation NOUN ajst-17680 3 9 process process NOUN ajst-17680 3 10 of of ADP ajst-17680 3 11 the the DET ajst-17680 3 12 music music NOUN ajst-17680 3 13 algorithm algorithm NOUN ajst-17680 3 14 are be AUX ajst-17680 3 15 studied study VERB ajst-17680 3 16 according accord VERB ajst-17680 3 17 to to ADP ajst-17680 3 18 the the DET ajst-17680 3 19 application application NOUN ajst-17680 3 20 requirements requirement NOUN ajst-17680 3 21 of of ADP ajst-17680 3 22 aoa aoa PROPN ajst-17680 3 23 estimation estimation NOUN ajst-17680 3 24 , , PUNCT ajst-17680 3 25 and and CCONJ ajst-17680 3 26 the the DET ajst-17680 3 27 improved improved ADJ ajst-17680 3 28 music music NOUN ajst-17680 3 29 algorithm algorithm NOUN ajst-17680 3 30 and and CCONJ ajst-17680 3 31 the the DET ajst-17680 3 32 maximum maximum ADJ ajst-17680 3 33 likelihood likelihood NOUN ajst-17680 3 34 method method NOUN ajst-17680 3 35 are be AUX ajst-17680 3 36 fused fuse VERB ajst-17680 3 37 to to PART ajst-17680 3 38 achieve achieve VERB ajst-17680 3 39 a a DET ajst-17680 3 40 higher high ADJ ajst-17680 3 41 - - PUNCT ajst-17680 3 42 precision precision NOUN ajst-17680 3 43 music music NOUN ajst-17680 3 44 algorithm algorithm NOUN ajst-17680 3 45 . . PUNCT ajst-17680 4 1 the the DET ajst-17680 4 2 simulation simulation NOUN ajst-17680 4 3 results result NOUN ajst-17680 4 4 show show VERB ajst-17680 4 5 that that SCONJ ajst-17680 4 6 the the DET ajst-17680 4 7 fused fuse VERB ajst-17680 4 8 algorithm algorithm NOUN ajst-17680 4 9 shows show VERB ajst-17680 4 10 a a DET ajst-17680 4 11 positive positive ADJ ajst-17680 4 12 correlation correlation NOUN ajst-17680 4 13 with with ADP ajst-17680 4 14 the the DET ajst-17680 4 15 relevant relevant ADJ ajst-17680 4 16 parameters parameter NOUN ajst-17680 4 17 ( ( PUNCT ajst-17680 4 18 number number NOUN ajst-17680 4 19 of of ADP ajst-17680 4 20 array array NOUN ajst-17680 4 21 elements element NOUN ajst-17680 4 22 , , PUNCT ajst-17680 4 23 number number NOUN ajst-17680 4 24 of of ADP ajst-17680 4 25 snapshots snapshot NOUN ajst-17680 4 26 , , PUNCT ajst-17680 4 27 etc etc X ajst-17680 4 28 . . X ajst-17680 4 29 ) ) PUNCT ajst-17680 4 30 , , PUNCT ajst-17680 4 31 which which PRON ajst-17680 4 32 proves prove VERB ajst-17680 4 33 the the DET ajst-17680 4 34 effectiveness effectiveness NOUN ajst-17680 4 35 of of ADP ajst-17680 4 36 the the DET ajst-17680 4 37 algorithm algorithm NOUN ajst-17680 4 38 . . PUNCT ajst-17680 5 1 keywords keyword NOUN ajst-17680 5 2 : : PUNCT ajst-17680 5 3 5 5 NUM ajst-17680 5 4 g g NOUN ajst-17680 5 5 , , PUNCT ajst-17680 5 6 positioning positioning NOUN ajst-17680 5 7 , , PUNCT ajst-17680 5 8 aoa aoa PROPN ajst-17680 5 9 estimation estimation NOUN ajst-17680 5 10 , , PUNCT ajst-17680 5 11 music music NOUN ajst-17680 5 12 algorithm algorithm NOUN ajst-17680 5 13 . . PUNCT ajst-17680 6 1 1 1 X ajst-17680 6 2 . . X ajst-17680 6 3 introduction introduction NOUN ajst-17680 6 4 with with ADP ajst-17680 6 5 the the DET ajst-17680 6 6 help help NOUN ajst-17680 6 7 of of ADP ajst-17680 6 8 computer computer NOUN ajst-17680 6 9 technology technology NOUN ajst-17680 6 10 , , PUNCT ajst-17680 6 11 wireless wireless ADJ ajst-17680 6 12 communication communication NOUN ajst-17680 6 13 technology technology NOUN ajst-17680 6 14 and and CCONJ ajst-17680 6 15 even even ADV ajst-17680 6 16 space space NOUN ajst-17680 6 17 technology technology NOUN ajst-17680 6 18 , , PUNCT ajst-17680 6 19 humans human NOUN ajst-17680 6 20 continue continue VERB ajst-17680 6 21 to to PART ajst-17680 6 22 explore explore VERB ajst-17680 6 23 ways way NOUN ajst-17680 6 24 to to PART ajst-17680 6 25 obtain obtain VERB ajst-17680 6 26 location location NOUN ajst-17680 6 27 information information NOUN ajst-17680 6 28 more more ADV ajst-17680 6 29 accurately accurately ADV ajst-17680 6 30 and and CCONJ ajst-17680 6 31 efficiently efficiently ADV ajst-17680 6 32 , , PUNCT ajst-17680 6 33 and and CCONJ ajst-17680 6 34 have have AUX ajst-17680 6 35 never never ADV ajst-17680 6 36 stopped stop VERB ajst-17680 6 37 trying try VERB ajst-17680 6 38 and and CCONJ ajst-17680 6 39 researching research VERB ajst-17680 6 40 high high ADJ ajst-17680 6 41 - - PUNCT ajst-17680 6 42 precision precision NOUN ajst-17680 6 43 positioning positioning NOUN ajst-17680 6 44 technologies technology NOUN ajst-17680 6 45 , , PUNCT ajst-17680 6 46 methods method NOUN ajst-17680 6 47 and and CCONJ ajst-17680 6 48 systems system NOUN ajst-17680 6 49 [ [ X ajst-17680 6 50 1 1 NUM ajst-17680 6 51 ] ] PUNCT ajst-17680 6 52 . . PUNCT ajst-17680 7 1 nowadays nowadays ADV ajst-17680 7 2 , , PUNCT ajst-17680 7 3 5 5 NUM ajst-17680 7 4 g g NOUN ajst-17680 7 5 technology technology NOUN ajst-17680 7 6 is be AUX ajst-17680 7 7 becoming become VERB ajst-17680 7 8 increasingly increasingly ADV ajst-17680 7 9 mature mature ADJ ajst-17680 7 10 . . PUNCT ajst-17680 8 1 the the DET ajst-17680 8 2 5 5 NUM ajst-17680 8 3 g g PROPN ajst-17680 8 4 technical technical ADJ ajst-17680 8 5 standard standard NOUN ajst-17680 8 6 3gpp 3gpp PROPN ajst-17680 8 7 rel-16 rel-16 PROPN ajst-17680 8 8 standard standard NOUN ajst-17680 8 9 has have AUX ajst-17680 8 10 made make VERB ajst-17680 8 11 a a DET ajst-17680 8 12 greater great ADJ ajst-17680 8 13 expansion expansion NOUN ajst-17680 8 14 on on ADP ajst-17680 8 15 the the DET ajst-17680 8 16 rel-15 rel-15 PROPN ajst-17680 8 17 standard standard NOUN ajst-17680 8 18 , , PUNCT ajst-17680 8 19 and and CCONJ ajst-17680 8 20 added add VERB ajst-17680 8 21 the the DET ajst-17680 8 22 downlink downlink NOUN ajst-17680 8 23 angle angle NOUN ajst-17680 8 24 of of ADP ajst-17680 8 25 departure departure NOUN ajst-17680 8 26 ( ( PUNCT ajst-17680 8 27 dl dl PROPN ajst-17680 8 28 - - PUNCT ajst-17680 8 29 aod aod NOUN ajst-17680 8 30 ) ) PUNCT ajst-17680 8 31 to to ADP ajst-17680 8 32 the the DET ajst-17680 8 33 original original ADJ ajst-17680 8 34 basis basis NOUN ajst-17680 8 35 , , PUNCT ajst-17680 8 36 uplink uplink VERB ajst-17680 8 37 angle angle NOUN ajst-17680 8 38 of of ADP ajst-17680 8 39 arrival arrival NOUN ajst-17680 8 40 ( ( PUNCT ajst-17680 8 41 ul ul INTJ ajst-17680 8 42 - - PUNCT ajst-17680 8 43 aoa aoa X ajst-17680 8 44 ) ) PUNCT ajst-17680 8 45 and and CCONJ ajst-17680 8 46 other other ADJ ajst-17680 8 47 new new ADJ ajst-17680 8 48 5 5 NUM ajst-17680 8 49 g g NOUN ajst-17680 8 50 positioning positioning NOUN ajst-17680 8 51 technologies technology NOUN ajst-17680 8 52 [ [ X ajst-17680 8 53 2 2 NUM ajst-17680 8 54 ] ] PUNCT ajst-17680 8 55 . . PUNCT ajst-17680 9 1 among among ADP ajst-17680 9 2 many many ADJ ajst-17680 9 3 positioning positioning NOUN ajst-17680 9 4 technologies technology NOUN ajst-17680 9 5 , , PUNCT ajst-17680 9 6 aoa aoa PROPN ajst-17680 9 7 ( ( PUNCT ajst-17680 9 8 angle angle NOUN ajst-17680 9 9 of of ADP ajst-17680 9 10 arrival arrival NOUN ajst-17680 9 11 ) ) PUNCT ajst-17680 9 12 is be AUX ajst-17680 9 13 one one NUM ajst-17680 9 14 of of ADP ajst-17680 9 15 the the DET ajst-17680 9 16 most most ADV ajst-17680 9 17 basic basic ADJ ajst-17680 9 18 wireless wireless ADJ ajst-17680 9 19 positioning positioning NOUN ajst-17680 9 20 technologies technology NOUN ajst-17680 9 21 . . PUNCT ajst-17680 10 1 on on ADP ajst-17680 10 2 the the DET ajst-17680 10 3 one one NUM ajst-17680 10 4 hand hand NOUN ajst-17680 10 5 , , PUNCT ajst-17680 10 6 5 5 NUM ajst-17680 10 7 g g NOUN ajst-17680 10 8 uses use VERB ajst-17680 10 9 highfrequency highfrequency NOUN ajst-17680 10 10 or or CCONJ ajst-17680 10 11 millimeter millimeter NOUN ajst-17680 10 12 - - PUNCT ajst-17680 10 13 wave wave NOUN ajst-17680 10 14 communication communication NOUN ajst-17680 10 15 . . PUNCT ajst-17680 11 1 millimeterwave millimeterwave NOUN ajst-17680 11 2 communication communication NOUN ajst-17680 11 3 has have VERB ajst-17680 11 4 very very ADV ajst-17680 11 5 good good ADJ ajst-17680 11 6 directivity directivity NOUN ajst-17680 11 7 and and CCONJ ajst-17680 11 8 can can AUX ajst-17680 11 9 achieve achieve VERB ajst-17680 11 10 higher high ADJ ajst-17680 11 11 - - PUNCT ajst-17680 11 12 precision precision NOUN ajst-17680 11 13 angle angle NOUN ajst-17680 11 14 measurement measurement NOUN ajst-17680 11 15 . . PUNCT ajst-17680 12 1 on on ADP ajst-17680 12 2 the the DET ajst-17680 12 3 other other ADJ ajst-17680 12 4 hand hand NOUN ajst-17680 12 5 , , PUNCT ajst-17680 12 6 5 5 NUM ajst-17680 12 7 g g NOUN ajst-17680 12 8 uses use VERB ajst-17680 12 9 large large ADJ ajst-17680 12 10 - - PUNCT ajst-17680 12 11 scale scale NOUN ajst-17680 12 12 antenna antenna NOUN ajst-17680 12 13 technology technology NOUN ajst-17680 12 14 and and CCONJ ajst-17680 12 15 has have VERB ajst-17680 12 16 higherresolution higherresolution NOUN ajst-17680 12 17 beams beam NOUN ajst-17680 12 18 . . PUNCT ajst-17680 13 1 it it PRON ajst-17680 13 2 can can AUX ajst-17680 13 3 also also ADV ajst-17680 13 4 achieve achieve VERB ajst-17680 13 5 higher high ADJ ajst-17680 13 6 - - PUNCT ajst-17680 13 7 precision precision NOUN ajst-17680 13 8 angle angle NOUN ajst-17680 13 9 measurement measurement NOUN ajst-17680 13 10 characteristics characteristic NOUN ajst-17680 14 1 [ [ X ajst-17680 14 2 3 3 NUM ajst-17680 14 3 ] ] PUNCT ajst-17680 14 4 , , PUNCT ajst-17680 14 5 and and CCONJ ajst-17680 14 6 can can AUX ajst-17680 14 7 also also ADV ajst-17680 14 8 be be AUX ajst-17680 14 9 integrated integrate VERB ajst-17680 14 10 with with ADP ajst-17680 14 11 other other ADJ ajst-17680 14 12 positioning positioning NOUN ajst-17680 14 13 technologies technology NOUN ajst-17680 14 14 for for ADP ajst-17680 14 15 positioning position VERB ajst-17680 14 16 [ [ X ajst-17680 14 17 4 4 NUM ajst-17680 14 18 ] ] PUNCT ajst-17680 14 19 . . PUNCT ajst-17680 15 1 therefore therefore ADV ajst-17680 15 2 , , PUNCT ajst-17680 15 3 in in ADP ajst-17680 15 4 positioning positioning NOUN ajst-17680 15 5 technology technology NOUN ajst-17680 15 6 for for ADP ajst-17680 15 7 5 5 NUM ajst-17680 15 8 g g NOUN ajst-17680 15 9 , , PUNCT ajst-17680 15 10 aoa aoa PROPN ajst-17680 15 11 - - PUNCT ajst-17680 15 12 based base VERB ajst-17680 15 13 positioning positioning NOUN ajst-17680 15 14 methods method NOUN ajst-17680 15 15 will will AUX ajst-17680 15 16 have have VERB ajst-17680 15 17 higher high ADJ ajst-17680 15 18 accuracy accuracy NOUN ajst-17680 15 19 than than ADP ajst-17680 15 20 4 4 NUM ajst-17680 15 21 g g NOUN ajst-17680 15 22 and and CCONJ ajst-17680 15 23 before before ADV ajst-17680 15 24 . . PUNCT ajst-17680 16 1 the the DET ajst-17680 16 2 most most ADV ajst-17680 16 3 typical typical ADJ ajst-17680 16 4 existing exist VERB ajst-17680 16 5 aoa aoa PROPN ajst-17680 16 6 estimation estimation NOUN ajst-17680 16 7 algorithm algorithm NOUN ajst-17680 16 8 is be AUX ajst-17680 16 9 the the DET ajst-17680 16 10 music music NOUN ajst-17680 16 11 ( ( PUNCT ajst-17680 16 12 multiple multiple ADJ ajst-17680 16 13 signal signal ADJ ajst-17680 16 14 classification classification NOUN ajst-17680 16 15 ) ) PUNCT ajst-17680 16 16 algorithm algorithm NOUN ajst-17680 17 1 [ [ X ajst-17680 17 2 5 5 NUM ajst-17680 17 3 ] ] PUNCT ajst-17680 17 4 , , PUNCT ajst-17680 17 5 which which PRON ajst-17680 17 6 has have VERB ajst-17680 17 7 the the DET ajst-17680 17 8 characteristics characteristic NOUN ajst-17680 17 9 of of ADP ajst-17680 17 10 high high ADJ ajst-17680 17 11 resolution resolution NOUN ajst-17680 17 12 , , PUNCT ajst-17680 17 13 stable stable ADJ ajst-17680 17 14 performance performance NOUN ajst-17680 17 15 and and CCONJ ajst-17680 17 16 high high ADJ ajst-17680 17 17 accuracy accuracy NOUN ajst-17680 17 18 . . PUNCT ajst-17680 18 1 scholars scholar NOUN ajst-17680 18 2 have have AUX ajst-17680 18 3 proposed propose VERB ajst-17680 18 4 many many ADJ ajst-17680 18 5 improvements improvement NOUN ajst-17680 18 6 based base VERB ajst-17680 18 7 on on ADP ajst-17680 18 8 the the DET ajst-17680 18 9 classic classic ADJ ajst-17680 18 10 music music NOUN ajst-17680 18 11 algorithm algorithm NOUN ajst-17680 18 12 . . PUNCT ajst-17680 19 1 methods method NOUN ajst-17680 19 2 , , PUNCT ajst-17680 19 3 for for ADP ajst-17680 19 4 example example NOUN ajst-17680 19 5 : : PUNCT ajst-17680 19 6 root root NOUN ajst-17680 19 7 -music -music NOUN ajst-17680 19 8 algorithm algorithm NOUN ajst-17680 19 9 uses use VERB ajst-17680 19 10 a a DET ajst-17680 19 11 rootfinding rootfinding NOUN ajst-17680 19 12 process process NOUN ajst-17680 19 13 instead instead ADV ajst-17680 19 14 of of ADP ajst-17680 19 15 spectral spectral ADJ ajst-17680 19 16 search search NOUN ajst-17680 19 17 , , PUNCT ajst-17680 19 18 which which PRON ajst-17680 19 19 greatly greatly ADV ajst-17680 19 20 reduces reduce VERB ajst-17680 19 21 the the DET ajst-17680 19 22 amount amount NOUN ajst-17680 19 23 of of ADP ajst-17680 19 24 calculation calculation NOUN ajst-17680 19 25 [ [ X ajst-17680 19 26 6 6 NUM ajst-17680 19 27 ] ] PUNCT ajst-17680 19 28 . . PUNCT ajst-17680 20 1 the the DET ajst-17680 20 2 music music NOUN ajst-17680 20 3 algorithm algorithm NOUN ajst-17680 20 4 based base VERB ajst-17680 20 5 on on ADP ajst-17680 20 6 spatial spatial ADJ ajst-17680 20 7 smoothing smoothing NOUN ajst-17680 20 8 technology technology NOUN ajst-17680 20 9 can can AUX ajst-17680 20 10 also also ADV ajst-17680 20 11 correctly correctly ADV ajst-17680 20 12 distinguish distinguish VERB ajst-17680 20 13 coherent coherent ADJ ajst-17680 20 14 signals signal NOUN ajst-17680 20 15 [ [ X ajst-17680 20 16 7 7 NUM ajst-17680 20 17 ] ] PUNCT ajst-17680 20 18 . . PUNCT ajst-17680 21 1 the the DET ajst-17680 21 2 improved improve VERB ajst-17680 21 3 music music NOUN ajst-17680 21 4 algorithm algorithm NOUN ajst-17680 21 5 and and CCONJ ajst-17680 21 6 modified modify VERB ajst-17680 21 7 music music NOUN ajst-17680 21 8 algorithm algorithm NOUN ajst-17680 21 9 can can AUX ajst-17680 21 10 not not PART ajst-17680 21 11 only only ADV ajst-17680 21 12 distinguish distinguish VERB ajst-17680 21 13 coherent coherent ADJ ajst-17680 21 14 signals signal NOUN ajst-17680 21 15 , , PUNCT ajst-17680 21 16 but but CCONJ ajst-17680 21 17 also also ADV ajst-17680 21 18 correctly correctly ADV ajst-17680 21 19 distinguish distinguish VERB ajst-17680 21 20 signals signal NOUN ajst-17680 21 21 with with ADP ajst-17680 21 22 small small ADJ ajst-17680 21 23 signal signal NOUN ajst-17680 21 24 - - PUNCT ajst-17680 21 25 to to ADP ajst-17680 21 26 - - PUNCT ajst-17680 21 27 noise noise NOUN ajst-17680 21 28 ratios ratio NOUN ajst-17680 21 29 and and CCONJ ajst-17680 21 30 small small ADJ ajst-17680 21 31 angular angular ADJ ajst-17680 21 32 intervals interval NOUN ajst-17680 21 33 [ [ X ajst-17680 21 34 8 8 NUM ajst-17680 21 35 ] ] PUNCT ajst-17680 21 36 . . PUNCT ajst-17680 22 1 based base VERB ajst-17680 22 2 on on ADP ajst-17680 22 3 the the DET ajst-17680 22 4 improved improve VERB ajst-17680 22 5 music music NOUN ajst-17680 22 6 algorithm algorithm NOUN ajst-17680 22 7 , , PUNCT ajst-17680 22 8 this this DET ajst-17680 22 9 paper paper NOUN ajst-17680 22 10 proposes propose VERB ajst-17680 22 11 fusion fusion NOUN ajst-17680 22 12 with with ADP ajst-17680 22 13 the the DET ajst-17680 22 14 maximum maximum ADJ ajst-17680 22 15 likelihood likelihood NOUN ajst-17680 22 16 method method NOUN ajst-17680 22 17 [ [ X ajst-17680 22 18 9 9 NUM ajst-17680 22 19 ] ] PUNCT ajst-17680 22 20 to to PART ajst-17680 22 21 further far ADV ajst-17680 22 22 improve improve VERB ajst-17680 22 23 the the DET ajst-17680 22 24 algorithm algorithm NOUN ajst-17680 22 25 estimation estimation NOUN ajst-17680 22 26 performance performance NOUN ajst-17680 22 27 . . PUNCT ajst-17680 23 1 2 2 X ajst-17680 23 2 . . NOUN ajst-17680 23 3 classic classic ADJ ajst-17680 23 4 music music NOUN ajst-17680 23 5 algorithm algorithm NOUN ajst-17680 23 6 the the DET ajst-17680 23 7 music music NOUN ajst-17680 23 8 algorithm algorithm NOUN ajst-17680 23 9 , , PUNCT ajst-17680 23 10 a a DET ajst-17680 23 11 multi multi ADJ ajst-17680 23 12 - - ADJ ajst-17680 23 13 signal signal ADJ ajst-17680 23 14 classification classification NOUN ajst-17680 23 15 algorithm algorithm NOUN ajst-17680 23 16 , , PUNCT ajst-17680 23 17 was be AUX ajst-17680 23 18 proposed propose VERB ajst-17680 23 19 by by ADP ajst-17680 23 20 schmidt schmidt PROPN ajst-17680 23 21 et et PROPN ajst-17680 23 22 al al PROPN ajst-17680 23 23 . . PROPN ajst-17680 24 1 in in ADP ajst-17680 24 2 1979 1979 NUM ajst-17680 24 3 . . PUNCT ajst-17680 25 1 the the DET ajst-17680 25 2 music music NOUN ajst-17680 25 3 algorithm algorithm NOUN ajst-17680 25 4 is be AUX ajst-17680 25 5 an an DET ajst-17680 25 6 algorithm algorithm NOUN ajst-17680 25 7 based base VERB ajst-17680 25 8 on on ADP ajst-17680 25 9 subspace subspace NOUN ajst-17680 25 10 decomposition decomposition NOUN ajst-17680 25 11 . . PUNCT ajst-17680 26 1 it it PRON ajst-17680 26 2 uses use VERB ajst-17680 26 3 the the DET ajst-17680 26 4 orthogonality orthogonality NOUN ajst-17680 26 5 of of ADP ajst-17680 26 6 the the DET ajst-17680 26 7 signal signal ADJ ajst-17680 26 8 subspace subspace NOUN ajst-17680 26 9 and and CCONJ ajst-17680 26 10 the the DET ajst-17680 26 11 noise noise NOUN ajst-17680 26 12 subspace subspace NOUN ajst-17680 26 13 to to PART ajst-17680 26 14 construct construct VERB ajst-17680 26 15 a a DET ajst-17680 26 16 spatial spatial ADJ ajst-17680 26 17 spectrum spectrum NOUN ajst-17680 26 18 function function NOUN ajst-17680 26 19 and and CCONJ ajst-17680 26 20 estimate estimate VERB ajst-17680 26 21 the the DET ajst-17680 26 22 parameters parameter NOUN ajst-17680 26 23 of of ADP ajst-17680 26 24 the the DET ajst-17680 26 25 signal signal NOUN ajst-17680 26 26 through through ADP ajst-17680 26 27 spectrum spectrum NOUN ajst-17680 26 28 peak peak NOUN ajst-17680 26 29 search search NOUN ajst-17680 26 30 . . PUNCT ajst-17680 27 1 figure figure NOUN ajst-17680 27 2 1 1 NUM ajst-17680 27 3 . . PUNCT ajst-17680 28 1 aoa aoa PROPN ajst-17680 28 2 estimated estimate VERB ajst-17680 28 3 array array PROPN ajst-17680 28 4 signal signal NOUN ajst-17680 28 5 model model NOUN ajst-17680 28 6 using use VERB ajst-17680 28 7 the the DET ajst-17680 28 8 definition definition NOUN ajst-17680 28 9 of of ADP ajst-17680 28 10 a a DET ajst-17680 28 11 matrix matrix NOUN ajst-17680 28 12 , , PUNCT ajst-17680 28 13 a a DET ajst-17680 28 14 more more ADV ajst-17680 28 15 concise concise ADJ ajst-17680 28 16 expression expression NOUN ajst-17680 28 17 can can AUX ajst-17680 28 18 be be AUX ajst-17680 28 19 obtained obtain VERB ajst-17680 28 20 : : PUNCT ajst-17680 28 21 π‘₯οΌˆπ‘‘ π‘₯οΌˆπ‘‘ PUNCT ajst-17680 29 1 𝐴𝑠 𝐴𝑠 NOUN ajst-17680 29 2 𝑑 𝑑 X ajst-17680 29 3 𝑛 𝑛 PRON ajst-17680 29 4 𝑑 𝑑 X ajst-17680 29 5 ( ( PUNCT ajst-17680 29 6 1 1 NUM ajst-17680 29 7 ) ) PUNCT ajst-17680 29 8 in in ADP ajst-17680 29 9 the the DET ajst-17680 29 10 formula formula NOUN ajst-17680 29 11 , , PUNCT ajst-17680 29 12 a a PRON ajst-17680 29 13 is be AUX ajst-17680 29 14 the the DET ajst-17680 29 15 receiving receive VERB ajst-17680 29 16 array array NOUN ajst-17680 29 17 steering steer VERB ajst-17680 29 18 vector vector NOUN ajst-17680 29 19 matrix matrix NOUN ajst-17680 29 20 , , PUNCT ajst-17680 29 21 𝑠 𝑠 PROPN ajst-17680 29 22 𝑑 𝑑 PROPN ajst-17680 29 23 is be AUX ajst-17680 29 24 the the DET ajst-17680 29 25 signal signal ADJ ajst-17680 29 26 vector vector NOUN ajst-17680 29 27 , , PUNCT ajst-17680 29 28 𝑛 𝑛 DET ajst-17680 29 29 𝑑 𝑑 PROPN ajst-17680 29 30 and and CCONJ ajst-17680 29 31 is be AUX ajst-17680 29 32 the the DET ajst-17680 29 33 noise noise NOUN ajst-17680 29 34 vector vector NOUN ajst-17680 29 35 of of ADP ajst-17680 29 36 each each DET ajst-17680 29 37 antenna antenna NOUN ajst-17680 29 38 element element NOUN ajst-17680 29 39 . . PUNCT ajst-17680 30 1 assuming assume VERB ajst-17680 30 2 that that SCONJ ajst-17680 30 3 the the DET ajst-17680 30 4 signal signal NOUN ajst-17680 30 5 and and CCONJ ajst-17680 30 6 noise noise NOUN ajst-17680 30 7 are be AUX ajst-17680 30 8 incoherent incoherent ADJ ajst-17680 30 9 , , PUNCT ajst-17680 30 10 the the DET ajst-17680 30 11 covariance covariance NOUN ajst-17680 30 12 matrix matrix NOUN ajst-17680 30 13 of of ADP ajst-17680 30 14 the the DET ajst-17680 30 15 array array NOUN ajst-17680 30 16 input input NOUN ajst-17680 30 17 signal signal NOUN ajst-17680 30 18 can can AUX ajst-17680 30 19 be be AUX ajst-17680 30 20 expressed express VERB ajst-17680 30 21 as as ADP ajst-17680 30 22 : : PUNCT ajst-17680 30 23   NOUN ajst-17680 30 24   PROPN ajst-17680 30 25   NOUN ajst-17680 30 26   SYM ajst-17680 30 27   NOUN ajst-17680 30 28   SYM ajst-17680 30 29   NOUN ajst-17680 30 30   SYM ajst-17680 30 31   NOUN ajst-17680 31 1   SYM ajst-17680 31 2   NOUN ajst-17680 31 3   PROPN ajst-17680 31 4 h h NOUN ajst-17680 32 1 xx xx NUM ajst-17680 32 2 h h NOUN ajst-17680 33 1 h h NOUN ajst-17680 33 2 h h NOUN ajst-17680 34 1 h h NOUN ajst-17680 34 2 ss ss INTJ ajst-17680 34 3 nn nn INTJ ajst-17680 34 4 r r NOUN ajst-17680 34 5 e e PROPN ajst-17680 34 6 x x SYM ajst-17680 34 7 t t NOUN ajst-17680 34 8 x x PROPN ajst-17680 34 9 t t PROPN ajst-17680 34 10 ae ae PROPN ajst-17680 34 11 s s PROPN ajst-17680 34 12 t t PROPN ajst-17680 34 13 s s PROPN ajst-17680 34 14 t t NOUN ajst-17680 34 15 a a DET ajst-17680 34 16 e e PROPN ajst-17680 34 17 n n ADP ajst-17680 34 18 t t PROPN ajst-17680 34 19 n n ADP ajst-17680 34 20 t t PROPN ajst-17680 34 21 ar ar NOUN ajst-17680 34 22 a a DET ajst-17680 34 23 r r NOUN ajst-17680 35 1   PROPN ajst-17680 35 2 οƒΉο€½ οƒΉο€½ PROPN ajst-17680 35 3   VERB ajst-17680 35 4   PROPN ajst-17680 35 5   PROPN ajst-17680 35 6 οƒΉ οƒΉ ADJ ajst-17680 36 1   PROPN ajst-17680 36 2 οƒΉο€½ οƒΉο€½ PROPN ajst-17680 36 3   PROPN ajst-17680 36 4   PROPN ajst-17680 36 5   VERB ajst-17680 36 6   PROPN ajst-17680 36 7 ο€½ ο€½ PROPN ajst-17680 36 8   PUNCT ajst-17680 36 9 ( ( PUNCT ajst-17680 36 10 2 2 NUM ajst-17680 36 11 ) ) PUNCT ajst-17680 36 12 118 118 NUM ajst-17680 36 13 in in ADP ajst-17680 36 14 the the DET ajst-17680 36 15 formula formula NOUN ajst-17680 36 16 , , PUNCT ajst-17680 36 17 𝑅ss 𝑅ss PROPN ajst-17680 36 18 𝐸 𝐸 PROPN ajst-17680 36 19 𝑠 𝑠 NUM ajst-17680 36 20 𝑑 𝑑 NOUN ajst-17680 36 21 𝑠 𝑠 PROPN ajst-17680 36 22 𝑑 𝑑 PROPN ajst-17680 36 23 is be AUX ajst-17680 36 24 a a DET ajst-17680 36 25 korder korder NOUN ajst-17680 36 26 matrix matrix NOUN ajst-17680 36 27 , , PUNCT ajst-17680 36 28 which which PRON ajst-17680 36 29 represents represent VERB ajst-17680 36 30 the the DET ajst-17680 36 31 autocorrelation autocorrelation NOUN ajst-17680 36 32 matrix matrix NOUN ajst-17680 36 33 of of ADP ajst-17680 36 34 the the DET ajst-17680 36 35 incident incident NOUN ajst-17680 36 36 signal signal NOUN ajst-17680 36 37 ; ; PUNCT ajst-17680 36 38 𝑅nn 𝑅nn PROPN ajst-17680 36 39 𝜎 𝜎 PRON ajst-17680 36 40 𝐼 𝐼 PROPN ajst-17680 36 41 is be AUX ajst-17680 36 42 an an DET ajst-17680 36 43 morder morder NOUN ajst-17680 36 44 matrix matrix NOUN ajst-17680 36 45 , , PUNCT ajst-17680 36 46 which which PRON ajst-17680 36 47 represents represent VERB ajst-17680 36 48 the the DET ajst-17680 36 49 autocorrelation autocorrelation NOUN ajst-17680 36 50 matrix matrix NOUN ajst-17680 36 51 of of ADP ajst-17680 36 52 the the DET ajst-17680 36 53 noise noise NOUN ajst-17680 36 54 . . PUNCT ajst-17680 37 1 assume assume VERB ajst-17680 37 2 that that SCONJ ajst-17680 37 3 𝑅 𝑅 PROPN ajst-17680 37 4 the the DET ajst-17680 37 5 eigenvalue eigenvalue NOUN ajst-17680 37 6 of of ADP ajst-17680 37 7 the the DET ajst-17680 37 8 matrix matrix NOUN ajst-17680 37 9 is be AUX ajst-17680 37 10 πœ† πœ† PRON ajst-17680 37 11 πœ† πœ† DET ajst-17680 37 12 β‹― β‹― PROPN ajst-17680 37 13 πœ† πœ† NOUN ajst-17680 37 14 , , PUNCT ajst-17680 37 15 and and CCONJ ajst-17680 37 16 𝐴𝑅ss𝐴 𝐴𝑅ss𝐴 ADJ ajst-17680 37 17 the the DET ajst-17680 37 18 corresponding correspond VERB ajst-17680 37 19 eigenvalue eigenvalue PROPN ajst-17680 37 20 is be AUX ajst-17680 37 21 𝜈 𝜈 X ajst-17680 37 22 𝜈 𝜈 X ajst-17680 37 23 β‹― β‹― ADP ajst-17680 37 24 𝜈 𝜈 X ajst-17680 37 25 . . PUNCT ajst-17680 38 1 according accord VERB ajst-17680 38 2 to to ADP ajst-17680 38 3 formula formula NOUN ajst-17680 38 4 ( ( PUNCT ajst-17680 38 5 2 2 NUM ajst-17680 38 6 ) ) PUNCT ajst-17680 38 7 , , PUNCT ajst-17680 38 8 we we PRON ajst-17680 38 9 get get VERB ajst-17680 38 10 : : PUNCT ajst-17680 38 11 πœ† πœ† ADP ajst-17680 38 12 𝜈 𝜈 X ajst-17680 38 13 𝜎 𝜎 PROPN ajst-17680 38 14 𝑖 𝑖 SYM ajst-17680 38 15 1,2 1,2 NUM ajst-17680 38 16 , , PUNCT ajst-17680 38 17 β‹― β‹― PROPN ajst-17680 38 18 , , PUNCT ajst-17680 38 19 𝑀 𝑀 PROPN ajst-17680 38 20 ( ( PUNCT ajst-17680 38 21 3 3 X ajst-17680 38 22 ) ) PUNCT ajst-17680 38 23 assume assume VERB ajst-17680 38 24 that that SCONJ ajst-17680 38 25 there there PRON ajst-17680 38 26 are be VERB ajst-17680 38 27 k k PROPN ajst-17680 38 28 signals signal NOUN ajst-17680 38 29 incident incident NOUN ajst-17680 38 30 on on ADP ajst-17680 38 31 the the DET ajst-17680 38 32 array array NOUN ajst-17680 38 33 , , PUNCT ajst-17680 38 34 k≀m k≀m PROPN ajst-17680 38 35 , , PUNCT ajst-17680 38 36 and and CCONJ ajst-17680 38 37 all all DET ajst-17680 38 38 signals signal NOUN ajst-17680 38 39 are be AUX ajst-17680 38 40 independent independent ADJ ajst-17680 38 41 and and CCONJ ajst-17680 38 42 uncorrelated uncorrelate VERB ajst-17680 38 43 with with ADP ajst-17680 38 44 each each DET ajst-17680 38 45 other other ADJ ajst-17680 38 46 , , PUNCT ajst-17680 38 47 then then ADV ajst-17680 38 48 the the DET ajst-17680 38 49 𝑅 𝑅 PROPN ajst-17680 38 50 rank rank NOUN ajst-17680 38 51 of of ADP ajst-17680 38 52 is be AUX ajst-17680 38 53 k k PROPN ajst-17680 38 54 , , PUNCT ajst-17680 38 55 so so ADV ajst-17680 38 56 𝐴𝑅 𝐴𝑅 PROPN ajst-17680 38 57 𝐴 𝐴 PROPN ajst-17680 38 58 the the DET ajst-17680 38 59 rank rank NOUN ajst-17680 38 60 of of ADP ajst-17680 38 61 is be AUX ajst-17680 38 62 also also ADV ajst-17680 38 63 k k NOUN ajst-17680 38 64 , , PUNCT ajst-17680 38 65 that that ADV ajst-17680 38 66 is is ADV ajst-17680 38 67 , , PUNCT ajst-17680 38 68 there there PRON ajst-17680 38 69 are be VERB ajst-17680 38 70 k k PROPN ajst-17680 38 71 non non ADJ ajst-17680 38 72 - - ADJ ajst-17680 38 73 zero zero NUM ajst-17680 38 74 eigenvalues eigenvalue NOUN ajst-17680 38 75 , , PUNCT ajst-17680 38 76 so so ADV ajst-17680 38 77 𝑅 𝑅 PROPN ajst-17680 38 78 the the DET ajst-17680 38 79 eigenvalues eigenvalue NOUN ajst-17680 38 80 of of ADP ajst-17680 38 81 it it PRON ajst-17680 38 82 can can AUX ajst-17680 38 83 be be AUX ajst-17680 38 84 expressed express VERB ajst-17680 38 85 as as ADP ajst-17680 38 86 : : PUNCT ajst-17680 38 87 πœ† πœ† ADP ajst-17680 38 88 𝜈 𝜈 X ajst-17680 38 89 𝜎 𝜎 PROPN ajst-17680 38 90 , , PUNCT ajst-17680 38 91 𝑖 𝑖 PROPN ajst-17680 38 92 1,2 1,2 NUM ajst-17680 38 93 , , PUNCT ajst-17680 38 94 β‹― β‹― VERB ajst-17680 38 95 , , PUNCT ajst-17680 38 96 𝐾 𝐾 PROPN ajst-17680 38 97 𝜎 𝜎 PROPN ajst-17680 38 98 , , PUNCT ajst-17680 38 99 𝑖 𝑖 SYM ajst-17680 38 100 𝐾 𝐾 PROPN ajst-17680 38 101 1 1 NUM ajst-17680 38 102 , , PUNCT ajst-17680 38 103 β‹― β‹― PROPN ajst-17680 38 104 , , PUNCT ajst-17680 38 105 𝑀 𝑀 PROPN ajst-17680 38 106 ( ( PUNCT ajst-17680 38 107 4 4 NUM ajst-17680 38 108 ) ) PUNCT ajst-17680 38 109 from from ADP ajst-17680 38 110 this this PRON ajst-17680 38 111 , , PUNCT ajst-17680 38 112 the the DET ajst-17680 38 113 eigenvalues eigenvalue NOUN ajst-17680 38 114 can can AUX ajst-17680 38 115 be be AUX ajst-17680 38 116 𝑅 𝑅 PROPN ajst-17680 38 117 divided divide VERB ajst-17680 38 118 into into ADP ajst-17680 38 119 two two NUM ajst-17680 38 120 parts part NOUN ajst-17680 38 121 , , PUNCT ajst-17680 38 122 namely namely ADV ajst-17680 38 123 the the DET ajst-17680 38 124 part part NOUN ajst-17680 38 125 corresponding correspond VERB ajst-17680 38 126 to to ADP ajst-17680 38 127 the the DET ajst-17680 38 128 signal signal NOUN ajst-17680 38 129 and and CCONJ ajst-17680 38 130 the the DET ajst-17680 38 131 part part NOUN ajst-17680 38 132 corresponding correspond VERB ajst-17680 38 133 to to ADP ajst-17680 38 134 the the DET ajst-17680 38 135 noise noise NOUN ajst-17680 38 136 , , PUNCT ajst-17680 38 137 and and CCONJ ajst-17680 38 138 the the DET ajst-17680 38 139 eigenvector eigenvector NOUN ajst-17680 38 140 corresponding correspond VERB ajst-17680 38 141 to to ADP ajst-17680 38 142 the the DET ajst-17680 38 143 eigenvalue eigenvalue NOUN ajst-17680 38 144 is be AUX ajst-17680 38 145 also also ADV ajst-17680 38 146 divided divide VERB ajst-17680 38 147 into into ADP ajst-17680 38 148 two two NUM ajst-17680 38 149 parts part NOUN ajst-17680 38 150 . . PUNCT ajst-17680 39 1 assuming assume VERB ajst-17680 39 2 𝑅 𝑅 PROPN ajst-17680 39 3 that that SCONJ ajst-17680 39 4 the the DET ajst-17680 39 5 eigenvector eigenvector NOUN ajst-17680 39 6 is be AUX ajst-17680 39 7 π‘ž π‘ž NOUN ajst-17680 39 8 , , PUNCT ajst-17680 39 9 q q X ajst-17680 39 10 , , PUNCT ajst-17680 39 11 β‹― β‹― NOUN ajst-17680 39 12 π‘ž π‘ž PROPN ajst-17680 39 13 , , PUNCT ajst-17680 39 14 β‹― β‹― PROPN ajst-17680 39 15 , , PUNCT ajst-17680 39 16 q q PROPN ajst-17680 39 17 , , PUNCT ajst-17680 39 18 then then ADV ajst-17680 39 19 these these DET ajst-17680 39 20 two two NUM ajst-17680 39 21 parts part NOUN ajst-17680 39 22 are be AUX ajst-17680 39 23 the the DET ajst-17680 39 24 signal signal ADJ ajst-17680 39 25 subspace subspace NOUN ajst-17680 39 26 𝑉 𝑉 PROPN ajst-17680 39 27 π‘ž π‘ž PROPN ajst-17680 39 28 , , PUNCT ajst-17680 39 29 π‘ž π‘ž X ajst-17680 39 30 , , PUNCT ajst-17680 39 31 β‹― β‹― PROPN ajst-17680 39 32 , , PUNCT ajst-17680 39 33 π‘ž π‘ž PROPN ajst-17680 39 34 and and CCONJ ajst-17680 39 35 the the DET ajst-17680 39 36 noise noise NOUN ajst-17680 39 37 subspace subspace NOUN ajst-17680 39 38 respectively respectively ADV ajst-17680 39 39 𝑉 𝑉 PROPN ajst-17680 39 40 π‘ž π‘ž PROPN ajst-17680 39 41 , , PUNCT ajst-17680 39 42 β‹― β‹― PROPN ajst-17680 39 43 , , PUNCT ajst-17680 39 44 π‘ž π‘ž X ajst-17680 39 45 . . PUNCT ajst-17680 40 1 according accord VERB ajst-17680 40 2 to to ADP ajst-17680 40 3 the the DET ajst-17680 40 4 definitions definition NOUN ajst-17680 40 5 of of ADP ajst-17680 40 6 eigenvalues eigenvalue NOUN ajst-17680 40 7 and and CCONJ ajst-17680 40 8 eigenvectors eigenvector NOUN ajst-17680 40 9 , , PUNCT ajst-17680 40 10 it it PRON ajst-17680 40 11 can can AUX ajst-17680 40 12 be be AUX ajst-17680 40 13 seen see VERB ajst-17680 40 14 that that SCONJ ajst-17680 40 15 eigenvalues eigenvalue VERB ajst-17680 40 16 πœ† πœ† ADP ajst-17680 40 17 and and CCONJ ajst-17680 40 18 their their PRON ajst-17680 40 19 corresponding corresponding ADJ ajst-17680 40 20 eigenvectors eigenvector NOUN ajst-17680 40 21 π‘ž π‘ž AUX ajst-17680 40 22 satisfy satisfy VERB ajst-17680 40 23 the the DET ajst-17680 40 24 formula formula NOUN ajst-17680 40 25 : : PUNCT ajst-17680 40 26 𝑅 𝑅 NOUN ajst-17680 40 27 πœ† πœ† NOUN ajst-17680 40 28 𝐼 𝐼 ADP ajst-17680 40 29 π‘ž π‘ž PROPN ajst-17680 40 30 0 0 NUM ajst-17680 40 31 ( ( PUNCT ajst-17680 40 32 5 5 NUM ajst-17680 40 33 ) ) PUNCT ajst-17680 40 34 the the DET ajst-17680 40 35 mk mk PROPN ajst-17680 40 36 minimum minimum PROPN ajst-17680 40 37 eigenvalues eigenvalue NOUN ajst-17680 40 38 of of ADP ajst-17680 40 39 the the DET ajst-17680 40 40 pair pair NOUN ajst-17680 40 41 𝑅 𝑅 PROPN ajst-17680 40 42 and and CCONJ ajst-17680 40 43 their their PRON ajst-17680 40 44 corresponding corresponding ADJ ajst-17680 40 45 eigenvectors eigenvector NOUN ajst-17680 40 46 are be AUX ajst-17680 40 47 : : PUNCT ajst-17680 40 48   PROPN ajst-17680 40 49 x x PROPN ajst-17680 40 50 0 0 NUM ajst-17680 40 51 1 1 NUM ajst-17680 40 52 , , PUNCT ajst-17680 40 53 , , PUNCT ajst-17680 40 54 h h NOUN ajst-17680 40 55 x x VERB ajst-17680 41 1 i i PRON ajst-17680 41 2 i i INTJ ajst-17680 41 3 ss ss VERB ajst-17680 41 4 ir ir INTJ ajst-17680 42 1 i i PRON ajst-17680 42 2 q q PROPN ajst-17680 42 3 ar ar PROPN ajst-17680 42 4 a a PRON ajst-17680 42 5 q q X ajst-17680 43 1 i i PRON ajst-17680 43 2 k k PROPN ajst-17680 43 3 m m PROPN ajst-17680 44 1 ο€½ ο€½ PROPN ajst-17680 44 2 ο€½ ο€½ NUM ajst-17680 44 3 ο€½ ο€½ PROPN ajst-17680 44 4   ADJ ajst-17680 44 5   NOUN ajst-17680 44 6 ( ( PUNCT ajst-17680 44 7 6 6 NUM ajst-17680 44 8 ) ) PUNCT ajst-17680 44 9 because because SCONJ ajst-17680 44 10 a a PRON ajst-17680 44 11 is be AUX ajst-17680 44 12 of of ADP ajst-17680 44 13 full full ADJ ajst-17680 44 14 rank rank NOUN ajst-17680 44 15 and and CCONJ ajst-17680 44 16 𝑅 𝑅 PROPN ajst-17680 44 17 non non NOUN ajst-17680 44 18 - - NOUN ajst-17680 44 19 singular singular ADJ ajst-17680 44 20 , , PUNCT ajst-17680 44 21 we we PRON ajst-17680 44 22 have have VERB ajst-17680 44 23 : : PUNCT ajst-17680 44 24 𝐴 𝐴 PROPN ajst-17680 44 25 π‘ž π‘ž X ajst-17680 44 26 0 0 PROPN ajst-17680 44 27 𝑖 𝑖 SYM ajst-17680 44 28 𝐾 𝐾 PROPN ajst-17680 44 29 1 1 NUM ajst-17680 44 30 , , PUNCT ajst-17680 44 31 β‹― β‹― PROPN ajst-17680 44 32 , , PUNCT ajst-17680 44 33 𝑀 𝑀 PROPN ajst-17680 44 34 ( ( PUNCT ajst-17680 44 35 7 7 NUM ajst-17680 44 36 ) ) PUNCT ajst-17680 44 37 therefore therefore ADV ajst-17680 44 38 , , PUNCT ajst-17680 44 39 𝑅 𝑅 PROPN ajst-17680 44 40 the the DET ajst-17680 44 41 eigenvectors eigenvector NOUN ajst-17680 44 42 corresponding correspond VERB ajst-17680 44 43 to to ADP ajst-17680 44 44 the the DET ajst-17680 44 45 mk mk PROPN ajst-17680 44 46 minimum minimum PROPN ajst-17680 44 47 eigenvalues eigenvalue NOUN ajst-17680 44 48 and and CCONJ ajst-17680 44 49 the the DET ajst-17680 44 50 k k PROPN ajst-17680 44 51 guidance guidance NOUN ajst-17680 44 52 vectors vector NOUN ajst-17680 44 53 that that PRON ajst-17680 44 54 constitute constitute VERB ajst-17680 44 55 a a DET ajst-17680 44 56 are be AUX ajst-17680 44 57 orthogonal orthogonal ADJ ajst-17680 44 58 , , PUNCT ajst-17680 44 59 that that PRON ajst-17680 44 60 is be AUX ajst-17680 44 61 : : PUNCT ajst-17680 44 62 π‘Ž π‘Ž X ajst-17680 44 63 πœƒ πœƒ PRON ajst-17680 44 64 , , PUNCT ajst-17680 44 65 β‹― β‹― NOUN ajst-17680 44 66 , , PUNCT ajst-17680 44 67 π‘Ž π‘Ž PROPN ajst-17680 44 68 πœƒ πœƒ NOUN ajst-17680 44 69 βŠ₯ βŠ₯ X ajst-17680 44 70 π‘ž π‘ž PROPN ajst-17680 44 71 , , PUNCT ajst-17680 44 72 β‹― β‹― PROPN ajst-17680 44 73 , , PUNCT ajst-17680 44 74 q q X ajst-17680 44 75 ( ( PUNCT ajst-17680 44 76 8) 8) NUM ajst-17680 44 77 this this PRON ajst-17680 44 78 is be AUX ajst-17680 44 79 the the DET ajst-17680 44 80 basic basic ADJ ajst-17680 44 81 idea idea NOUN ajst-17680 44 82 of of ADP ajst-17680 44 83 the the DET ajst-17680 44 84 music music NOUN ajst-17680 44 85 method method NOUN ajst-17680 44 86 . . PUNCT ajst-17680 45 1 the the DET ajst-17680 45 2 aoa aoa PROPN ajst-17680 45 3 of of ADP ajst-17680 45 4 k k PROPN ajst-17680 45 5 incident incident PROPN ajst-17680 45 6 signals signal NOUN ajst-17680 45 7 is be AUX ajst-17680 45 8 estimated estimate VERB ajst-17680 45 9 from from ADP ajst-17680 45 10 the the DET ajst-17680 45 11 peak peak NOUN ajst-17680 45 12 value value NOUN ajst-17680 45 13 of of ADP ajst-17680 45 14 the the DET ajst-17680 45 15 music music NOUN ajst-17680 45 16 spatial spatial ADJ ajst-17680 45 17 spectrum spectrum NOUN ajst-17680 45 18 . . PUNCT ajst-17680 46 1 the the DET ajst-17680 46 2 expression expression NOUN ajst-17680 46 3 defining define VERB ajst-17680 46 4 the the DET ajst-17680 46 5 music music NOUN ajst-17680 46 6 spatial spatial ADJ ajst-17680 46 7 spectrum spectrum NOUN ajst-17680 46 8 is be AUX ajst-17680 46 9 : : PUNCT ajst-17680 46 10 𝑃 𝑃 PROPN ajst-17680 46 11 πœƒ πœƒ NOUN ajst-17680 46 12 ( ( PUNCT ajst-17680 46 13 9 9 NUM ajst-17680 46 14 ) ) PUNCT ajst-17680 46 15 when when SCONJ ajst-17680 46 16 it it PRON ajst-17680 46 17 is be AUX ajst-17680 46 18 the the DET ajst-17680 46 19 direction direction NOUN ajst-17680 46 20 vector vector NOUN ajst-17680 46 21 corresponding correspond VERB ajst-17680 46 22 to to ADP ajst-17680 46 23 the the DET ajst-17680 46 24 incident incident NOUN ajst-17680 46 25 signal signal NOUN ajst-17680 46 26 , , PUNCT ajst-17680 46 27 it it PRON ajst-17680 46 28 π‘Ž π‘Ž NOUN ajst-17680 46 29 πœƒ πœƒ NOUN ajst-17680 46 30 is be AUX ajst-17680 46 31 orthogonal orthogonal ADJ ajst-17680 46 32 π‘Ž π‘Ž PROPN ajst-17680 46 33 πœƒ πœƒ PUNCT ajst-17680 46 34 𝑉 𝑉 PROPN ajst-17680 46 35 𝑉 𝑉 PROPN ajst-17680 46 36 π‘Ž π‘Ž NOUN ajst-17680 46 37 πœƒ πœƒ NOUN ajst-17680 46 38 to to ADP ajst-17680 46 39 the the DET ajst-17680 46 40 noise noise NOUN ajst-17680 46 41 subspace subspace NOUN ajst-17680 46 42 , , PUNCT ajst-17680 47 1 so so ADV ajst-17680 47 2 𝑉 𝑉 PROPN ajst-17680 47 3 the the DET ajst-17680 47 4 value value NOUN ajst-17680 47 5 will will AUX ajst-17680 47 6 be be AUX ajst-17680 47 7 close close ADJ ajst-17680 47 8 to to ADP ajst-17680 47 9 0 0 NUM ajst-17680 47 10 . . PUNCT ajst-17680 48 1 at at ADP ajst-17680 48 2 this this DET ajst-17680 48 3 time time NOUN ajst-17680 48 4 , , PUNCT ajst-17680 48 5 the the DET ajst-17680 48 6 music music NOUN ajst-17680 48 7 space space NOUN ajst-17680 48 8 spectrum spectrum NOUN ajst-17680 48 9 πœƒ πœƒ PRON ajst-17680 48 10 will will AUX ajst-17680 48 11 produce produce VERB ajst-17680 48 12 a a DET ajst-17680 48 13 spectral spectral ADJ ajst-17680 48 14 peak peak NOUN ajst-17680 48 15 at at ADP ajst-17680 48 16 . . PUNCT ajst-17680 49 1 the the DET ajst-17680 49 2 k k PROPN ajst-17680 49 3 maximum maximum ADJ ajst-17680 49 4 peaks peak NOUN ajst-17680 49 5 in in ADP ajst-17680 49 6 the the DET ajst-17680 49 7 music music NOUN ajst-17680 49 8 spectrum spectrum NOUN ajst-17680 49 9 correspond correspond ADV ajst-17680 49 10 to to ADP ajst-17680 49 11 the the DET ajst-17680 49 12 arrival arrival NOUN ajst-17680 49 13 angles angle NOUN ajst-17680 49 14 of of ADP ajst-17680 49 15 signals signal NOUN ajst-17680 49 16 incident incident NOUN ajst-17680 49 17 on on ADP ajst-17680 49 18 the the DET ajst-17680 49 19 array array NOUN ajst-17680 49 20 . . PUNCT ajst-17680 50 1 3 3 X ajst-17680 50 2 . . X ajst-17680 50 3 improvement improvement NOUN ajst-17680 50 4 of of ADP ajst-17680 50 5 music music NOUN ajst-17680 50 6 algorithm algorithm NOUN ajst-17680 50 7 from from ADP ajst-17680 50 8 the the DET ajst-17680 50 9 derivation derivation NOUN ajst-17680 50 10 process process NOUN ajst-17680 50 11 of of ADP ajst-17680 50 12 the the DET ajst-17680 50 13 classic classic ADJ ajst-17680 50 14 music music NOUN ajst-17680 50 15 algorithm algorithm NOUN ajst-17680 50 16 , , PUNCT ajst-17680 50 17 the the DET ajst-17680 50 18 conclusion conclusion NOUN ajst-17680 50 19 that that SCONJ ajst-17680 50 20 the the DET ajst-17680 50 21 signal signal NOUN ajst-17680 50 22 subspace subspace NOUN ajst-17680 50 23 and and CCONJ ajst-17680 50 24 the the DET ajst-17680 50 25 noise noise NOUN ajst-17680 50 26 subspace subspace NOUN ajst-17680 50 27 are be AUX ajst-17680 50 28 orthogonal orthogonal ADJ ajst-17680 50 29 comes come VERB ajst-17680 50 30 from from ADP ajst-17680 50 31 the the DET ajst-17680 50 32 full full ADJ ajst-17680 50 33 rank rank NOUN ajst-17680 50 34 . . PUNCT ajst-17680 51 1 therefore therefore ADV ajst-17680 51 2 , , PUNCT ajst-17680 51 3 the the DET ajst-17680 51 4 prerequisite prerequisite NOUN ajst-17680 51 5 for for ADP ajst-17680 51 6 the the DET ajst-17680 51 7 application application NOUN ajst-17680 51 8 of of ADP ajst-17680 51 9 the the DET ajst-17680 51 10 classic classic ADJ ajst-17680 51 11 music music NOUN ajst-17680 51 12 algorithm algorithm NOUN ajst-17680 51 13 is be AUX ajst-17680 51 14 that that SCONJ ajst-17680 51 15 the the DET ajst-17680 51 16 incident incident NOUN ajst-17680 51 17 signals signal NOUN ajst-17680 51 18 are be AUX ajst-17680 51 19 weakly weakly ADV ajst-17680 51 20 coherent coherent ADJ ajst-17680 51 21 or or CCONJ ajst-17680 51 22 incoherent incoherent ADJ ajst-17680 51 23 , , PUNCT ajst-17680 51 24 otherwise otherwise ADV ajst-17680 51 25 the the DET ajst-17680 51 26 accuracy accuracy NOUN ajst-17680 51 27 of of ADP ajst-17680 51 28 aoa aoa PROPN ajst-17680 51 29 estimation estimation NOUN ajst-17680 51 30 will will AUX ajst-17680 51 31 be be AUX ajst-17680 51 32 reduced reduce VERB ajst-17680 51 33 . . PUNCT ajst-17680 52 1 based base VERB ajst-17680 52 2 on on ADP ajst-17680 52 3 the the DET ajst-17680 52 4 classic classic ADJ ajst-17680 52 5 music music NOUN ajst-17680 52 6 algorithm algorithm NOUN ajst-17680 52 7 , , PUNCT ajst-17680 52 8 this this DET ajst-17680 52 9 paper paper NOUN ajst-17680 52 10 conjugately conjugately ADV ajst-17680 52 11 reconstructs reconstruct VERB ajst-17680 52 12 the the DET ajst-17680 52 13 data datum NOUN ajst-17680 52 14 array array NOUN ajst-17680 52 15 and and CCONJ ajst-17680 52 16 incorporates incorporate VERB ajst-17680 52 17 the the DET ajst-17680 52 18 idea idea NOUN ajst-17680 52 19 of of ADP ajst-17680 52 20 the the DET ajst-17680 52 21 maximum maximum ADJ ajst-17680 52 22 likelihood likelihood NOUN ajst-17680 52 23 method method NOUN ajst-17680 52 24 into into ADP ajst-17680 52 25 a a DET ajst-17680 52 26 new new ADJ ajst-17680 52 27 fusion fusion NOUN ajst-17680 52 28 music music NOUN ajst-17680 52 29 algorithm algorithm NOUN ajst-17680 52 30 . . PUNCT ajst-17680 53 1 first first ADV ajst-17680 53 2 , , PUNCT ajst-17680 53 3 establish establish VERB ajst-17680 53 4 the the DET ajst-17680 53 5 transformation transformation NOUN ajst-17680 53 6 matrix matrix NOUN ajst-17680 53 7 j. j. PROPN ajst-17680 53 8 the the DET ajst-17680 53 9 morder morder PROPN ajst-17680 53 10 inverse inverse NOUN ajst-17680 53 11 identity identity NOUN ajst-17680 53 12 matrix matrix NOUN ajst-17680 53 13 can can AUX ajst-17680 53 14 also also ADV ajst-17680 53 15 be be AUX ajst-17680 53 16 called call VERB ajst-17680 53 17 the the DET ajst-17680 53 18 transformation transformation NOUN ajst-17680 53 19 matrix matrix NOUN ajst-17680 53 20 , , PUNCT ajst-17680 53 21 that that PRON ajst-17680 53 22 is be AUX ajst-17680 53 23 : : PUNCT ajst-17680 53 24 0 0 NUM ajst-17680 53 25 1 1 NUM ajst-17680 53 26 1 1 NUM ajst-17680 53 27 0 0 NUM ajst-17680 53 28 1 1 NUM ajst-17680 53 29 0 0 NUM ajst-17680 53 30 m m VERB ajst-17680 53 31 m m VERB ajst-17680 53 32 j j PROPN ajst-17680 53 33 ο‚΄ ο‚΄ PROPN ajst-17680 53 34   PROPN ajst-17680 53 35 οƒΉ οƒΉ ADJ ajst-17680 53 36 οƒͺ οƒͺ NOUN ajst-17680 53 37 οƒΊ οƒΊ PROPN ajst-17680 53 38 οƒͺ οƒͺ NOUN ajst-17680 53 39 οƒΊο€½ οƒΊο€½ NUM ajst-17680 53 40 οƒͺ οƒͺ NOUN ajst-17680 53 41 οƒΊ οƒΊ NOUN ajst-17680 53 42 οƒͺ οƒͺ NOUN ajst-17680 53 43 οƒΊ οƒΊ NOUN ajst-17680 53 44   NOUN ajst-17680 53 45   PROPN ajst-17680 53 46   NOUN ajst-17680 53 47   NOUN ajst-17680 53 48   NOUN ajst-17680 53 49   NOUN ajst-17680 53 50   NOUN ajst-17680 53 51   NOUN ajst-17680 53 52   NOUN ajst-17680 53 53   NOUN ajst-17680 53 54   NOUN ajst-17680 53 55   NOUN ajst-17680 53 56 ( ( PUNCT ajst-17680 53 57 10 10 NUM ajst-17680 53 58 ) ) PUNCT ajst-17680 53 59 assume assume VERB ajst-17680 53 60 that that SCONJ ajst-17680 53 61 π‘Œ π‘Œ PROPN ajst-17680 53 62 π½π‘‹βˆ— π½π‘‹βˆ— PROPN ajst-17680 53 63 the the DET ajst-17680 53 64 complex complex ADJ ajst-17680 53 65 conjugate conjugate ADJ ajst-17680 53 66 π‘‹βˆ— π‘‹βˆ— ADV ajst-17680 53 67 in in ADP ajst-17680 53 68 the the DET ajst-17680 53 69 formula formula NOUN ajst-17680 53 70 is be AUX ajst-17680 53 71 𝑋 𝑋 NOUN ajst-17680 53 72 , , PUNCT ajst-17680 53 73 so so ADV ajst-17680 53 74 another another DET ajst-17680 53 75 covariance covariance NOUN ajst-17680 53 76 matrix matrix NOUN ajst-17680 53 77 is be AUX ajst-17680 53 78 obtained obtain VERB ajst-17680 53 79 : : PUNCT ajst-17680 53 80 𝑅 𝑅 PROPN ajst-17680 53 81 𝐸 𝐸 PROPN ajst-17680 53 82 π‘Œπ‘Œ π‘Œπ‘Œ PROPN ajst-17680 53 83 π½π‘…βˆ— π½π‘…βˆ— PROPN ajst-17680 53 84 𝐽 𝐽 PROPN ajst-17680 54 1 ( ( PUNCT ajst-17680 54 2 11 11 NUM ajst-17680 54 3 ) ) PUNCT ajst-17680 54 4 we we PRON ajst-17680 54 5 add add VERB ajst-17680 54 6 the the DET ajst-17680 54 7 two two NUM ajst-17680 54 8 covariance covariance NOUN ajst-17680 54 9 matrices matrix NOUN ajst-17680 54 10 to to PART ajst-17680 54 11 get get VERB ajst-17680 54 12 a a DET ajst-17680 54 13 new new ADJ ajst-17680 54 14 covariance covariance NOUN ajst-17680 54 15 matrix matrix NOUN ajst-17680 54 16 , , PUNCT ajst-17680 54 17 which which PRON ajst-17680 54 18 is be AUX ajst-17680 54 19 expressed express VERB ajst-17680 54 20 as as SCONJ ajst-17680 54 21 follows follow VERB ajst-17680 54 22 : : PUNCT ajst-17680 54 23 𝑅 𝑅 PROPN ajst-17680 54 24 𝑅 𝑅 PROPN ajst-17680 54 25 𝑅 𝑅 PROPN ajst-17680 54 26 𝐴𝑅 𝐴𝑅 PROPN ajst-17680 54 27 𝐴 𝐴 PROPN ajst-17680 54 28 𝐽 𝐽 PROPN ajst-17680 54 29 𝐴𝑅 𝐴𝑅 PROPN ajst-17680 54 30 𝐴 𝐴 PROPN ajst-17680 54 31 βˆ—π½ βˆ—π½ PART ajst-17680 54 32 2𝜎 2𝜎 NUM ajst-17680 54 33 𝐼 𝐼 PROPN ajst-17680 54 34 ( ( PUNCT ajst-17680 54 35 12 12 NUM ajst-17680 54 36 ) ) PUNCT ajst-17680 54 37 the the DET ajst-17680 54 38 analysis analysis NOUN ajst-17680 54 39 results result NOUN ajst-17680 54 40 show show VERB ajst-17680 54 41 that that SCONJ ajst-17680 54 42 𝑅 𝑅 PROPN ajst-17680 54 43 , , PUNCT ajst-17680 54 44 𝑅 𝑅 PROPN ajst-17680 54 45 the the DET ajst-17680 54 46 noise noise NOUN ajst-17680 54 47 subspaces subspace NOUN ajst-17680 54 48 of of ADP ajst-17680 54 49 and and CCONJ ajst-17680 54 50 are be AUX ajst-17680 54 51 exactly exactly ADV ajst-17680 54 52 the the DET ajst-17680 54 53 same same ADJ ajst-17680 54 54 to to PART ajst-17680 54 55 𝑅. 𝑅. VERB ajst-17680 54 56 then then ADV ajst-17680 54 57 the the DET ajst-17680 54 58 covariance covariance NOUN ajst-17680 54 59 matrix matrix NOUN ajst-17680 54 60 is be AUX ajst-17680 54 61 eigenvalue eigenvalue NOUN ajst-17680 54 62 decomposed decompose VERB ajst-17680 54 63 and and CCONJ ajst-17680 54 64 sorted sort VERB ajst-17680 54 65 to to PART ajst-17680 54 66 obtain obtain VERB ajst-17680 54 67 the the DET ajst-17680 54 68 signal signal NOUN ajst-17680 54 69 subspace subspace NOUN ajst-17680 54 70 𝑉 𝑉 PROPN ajst-17680 54 71 π‘ž π‘ž PROPN ajst-17680 54 72 , , PUNCT ajst-17680 54 73 π‘ž π‘ž X ajst-17680 54 74 , , PUNCT ajst-17680 54 75 β‹― β‹― PROPN ajst-17680 54 76 , , PUNCT ajst-17680 54 77 π‘ž π‘ž X ajst-17680 54 78 and and CCONJ ajst-17680 54 79 noise noise NOUN ajst-17680 54 80 subspace subspace NOUN ajst-17680 54 81 𝑉 𝑉 PROPN ajst-17680 54 82 π‘ž π‘ž PROPN ajst-17680 54 83 , , PUNCT ajst-17680 54 84 β‹― β‹― PROPN ajst-17680 54 85 , , PUNCT ajst-17680 54 86 π‘ž π‘ž PROPN ajst-17680 54 87 . . PUNCT ajst-17680 55 1 classic classic ADJ ajst-17680 55 2 music music NOUN ajst-17680 55 3 algorithm algorithm NOUN ajst-17680 55 4 is be AUX ajst-17680 55 5 to to ADP ajst-17680 55 6 |π‘Ž |π‘Ž PROPN ajst-17680 55 7 πœƒ πœƒ X ajst-17680 55 8 𝑉 𝑉 NOUN ajst-17680 55 9 | | ADV ajst-17680 55 10 minimize minimize VERB ajst-17680 55 11 , , PUNCT ajst-17680 55 12 while while SCONJ ajst-17680 55 13 the the DET ajst-17680 55 14 idea idea NOUN ajst-17680 55 15 of of ADP ajst-17680 55 16 the the DET ajst-17680 55 17 maximum maximum ADJ ajst-17680 55 18 likelihood likelihood NOUN ajst-17680 55 19 method method NOUN ajst-17680 55 20 is be AUX ajst-17680 55 21 to to SCONJ ajst-17680 55 22 π‘Ž π‘Ž PROPN ajst-17680 55 23 πœƒ πœƒ PUNCT ajst-17680 55 24 𝑉 𝑉 PROPN ajst-17680 55 25 maximize maximize VERB ajst-17680 55 26 the the DET ajst-17680 55 27 likelihood likelihood NOUN ajst-17680 55 28 value value NOUN ajst-17680 55 29 of of ADP ajst-17680 55 30 the the DET ajst-17680 55 31 variable variable NOUN ajst-17680 55 32 . . PUNCT ajst-17680 56 1 finally finally ADV ajst-17680 56 2 , , PUNCT ajst-17680 56 3 by by ADP ajst-17680 56 4 integrating integrate VERB ajst-17680 56 5 the the DET ajst-17680 56 6 maximum maximum ADJ ajst-17680 56 7 likelihood likelihood NOUN ajst-17680 56 8 method method NOUN ajst-17680 56 9 [ [ X ajst-17680 56 10 9 9 NUM ajst-17680 56 11 ] ] PUNCT ajst-17680 56 12 , , PUNCT ajst-17680 56 13 we we PRON ajst-17680 56 14 get get VERB ajst-17680 56 15 : : PUNCT ajst-17680 56 16 𝑃 𝑃 NOUN ajst-17680 56 17 πœƒ πœƒ NOUN ajst-17680 56 18 ( ( PUNCT ajst-17680 56 19 13 13 NUM ajst-17680 56 20 ) ) PUNCT ajst-17680 56 21 in in ADP ajst-17680 56 22 the the DET ajst-17680 56 23 formula formula NOUN ajst-17680 56 24 π‘ˆ π‘ˆ PROPN ajst-17680 56 25 𝜎 𝜎 PROPN ajst-17680 56 26 βˆ‘ βˆ‘ PUNCT ajst-17680 56 27 𝑉 𝑉 PROPN ajst-17680 56 28 𝑉 𝑉 PROPN ajst-17680 56 29 , , PUNCT ajst-17680 56 30 vs vs ADP ajst-17680 56 31 is be AUX ajst-17680 56 32 the the DET ajst-17680 56 33 signal signal ADJ ajst-17680 56 34 subspace subspace NOUN ajst-17680 56 35 . . PUNCT ajst-17680 57 1 the the DET ajst-17680 57 2 steps step NOUN ajst-17680 57 3 to to PART ajst-17680 57 4 implement implement VERB ajst-17680 57 5 the the DET ajst-17680 57 6 fusion fusion NOUN ajst-17680 57 7 music music NOUN ajst-17680 57 8 algorithm algorithm NOUN ajst-17680 57 9 are be AUX ajst-17680 57 10 as as SCONJ ajst-17680 57 11 follows follow VERB ajst-17680 57 12 : : PUNCT ajst-17680 57 13 1 1 X ajst-17680 57 14 . . X ajst-17680 57 15 first first ADV ajst-17680 57 16 , , PUNCT ajst-17680 57 17 use use VERB ajst-17680 57 18 the the DET ajst-17680 57 19 l l NOUN ajst-17680 57 20 snapshot snapshot NOUN ajst-17680 57 21 data datum NOUN ajst-17680 57 22 received receive VERB ajst-17680 57 23 by by ADP ajst-17680 57 24 the the DET ajst-17680 57 25 array array NOUN ajst-17680 57 26 to to PART ajst-17680 57 27 obtain obtain VERB ajst-17680 57 28 an an DET ajst-17680 57 29 estimate estimate NOUN ajst-17680 57 30 of of ADP ajst-17680 57 31 a a DET ajst-17680 57 32 covariance covariance NOUN ajst-17680 57 33 matrix matrix NOUN ajst-17680 57 34 of of ADP ajst-17680 57 35 the the DET ajst-17680 57 36 data datum NOUN ajst-17680 57 37 : : PUNCT ajst-17680 57 38 𝑅 𝑅 NOUN ajst-17680 57 39 βˆ‘ βˆ‘ PROPN ajst-17680 57 40 π‘₯ π‘₯ PROPN ajst-17680 57 41 𝑛 𝑛 ADP ajst-17680 57 42 π‘₯ π‘₯ X ajst-17680 57 43 𝑛 𝑛 PROPN ajst-17680 57 44 ( ( PUNCT ajst-17680 57 45 14 14 NUM ajst-17680 57 46 ) ) SYM ajst-17680 57 47 2 2 NUM ajst-17680 57 48 . . X ajst-17680 57 49 perform perform VERB ajst-17680 57 50 matrix matrix NOUN ajst-17680 57 51 reconstruction reconstruction NOUN ajst-17680 57 52 , , PUNCT ajst-17680 57 53 assuming assume VERB ajst-17680 57 54 π‘Œ π‘Œ PROPN ajst-17680 57 55 π½π‘‹βˆ— π½π‘‹βˆ— PROPN ajst-17680 57 56 , , PUNCT ajst-17680 57 57 so so ADV ajst-17680 57 58 another another DET ajst-17680 57 59 covariance covariance NOUN ajst-17680 57 60 matrix matrix NOUN ajst-17680 57 61 is be AUX ajst-17680 57 62 obtained obtain VERB ajst-17680 57 63 : : PUNCT ajst-17680 57 64 119 119 NUM ajst-17680 57 65 𝑅 𝑅 PROPN ajst-17680 57 66 𝐸 𝐸 PROPN ajst-17680 57 67 π‘Œπ‘Œ π‘Œπ‘Œ PROPN ajst-17680 57 68 π½π‘…βˆ— π½π‘…βˆ— PROPN ajst-17680 57 69 𝐽 𝐽 PROPN ajst-17680 57 70 ( ( PUNCT ajst-17680 57 71 15 15 NUM ajst-17680 57 72 ) ) PUNCT ajst-17680 57 73 3 3 NUM ajst-17680 57 74 . . X ajst-17680 57 75 perform perform VERB ajst-17680 57 76 eigenvalue eigenvalue NOUN ajst-17680 57 77 decomposition decomposition NOUN ajst-17680 57 78 of of ADP ajst-17680 57 79 the the DET ajst-17680 57 80 original original ADJ ajst-17680 57 81 matrix matrix NOUN ajst-17680 57 82 and and CCONJ ajst-17680 57 83 the the DET ajst-17680 57 84 reconstructed reconstructed ADJ ajst-17680 57 85 matrix matrix NOUN ajst-17680 57 86 : : PUNCT ajst-17680 57 87 𝑅 𝑅 PROPN ajst-17680 57 88 𝑅 𝑅 PROPN ajst-17680 57 89 𝑅 𝑅 PROPN ajst-17680 57 90 𝐴𝑅 𝐴𝑅 PROPN ajst-17680 57 91 𝐴 𝐴 PROPN ajst-17680 57 92 𝐽 𝐽 PROPN ajst-17680 57 93 𝐴𝑅 𝐴𝑅 PROPN ajst-17680 57 94 𝐴 𝐴 PROPN ajst-17680 57 95 βˆ—π½ βˆ—π½ PART ajst-17680 58 1 2𝜎 2𝜎 NUM ajst-17680 58 2 𝐼 𝐼 PROPN ajst-17680 58 3 ( ( PUNCT ajst-17680 58 4 16 16 NUM ajst-17680 58 5 ) ) PUNCT ajst-17680 58 6 4 4 NUM ajst-17680 58 7 . . X ajst-17680 59 1 sort sort VERB ajst-17680 59 2 the the DET ajst-17680 59 3 eigenvalues eigenvalue NOUN ajst-17680 59 4 according accord VERB ajst-17680 59 5 to to ADP ajst-17680 59 6 the the DET ajst-17680 59 7 high high ADJ ajst-17680 59 8 and and CCONJ ajst-17680 59 9 low low ADJ ajst-17680 59 10 , , PUNCT ajst-17680 59 11 and and CCONJ ajst-17680 59 12 filter filter VERB ajst-17680 59 13 out out ADP ajst-17680 59 14 the the DET ajst-17680 59 15 required require VERB ajst-17680 59 16 eigenvectors eigenvector NOUN ajst-17680 59 17 and and CCONJ ajst-17680 59 18 noise noise NOUN ajst-17680 59 19 vectors vector NOUN ajst-17680 59 20 to to PART ajst-17680 59 21 obtain obtain VERB ajst-17680 59 22 the the DET ajst-17680 59 23 eigenmatrix eigenmatrix NOUN ajst-17680 59 24 u u NOUN ajst-17680 59 25 : : PUNCT ajst-17680 59 26 π‘ˆ π‘ˆ PROPN ajst-17680 59 27 𝜎 𝜎 PROPN ajst-17680 59 28 βˆ‘ βˆ‘ PUNCT ajst-17680 59 29 𝑉 𝑉 PROPN ajst-17680 59 30 𝑉 𝑉 PROPN ajst-17680 59 31 ( ( PUNCT ajst-17680 59 32 17 17 NUM ajst-17680 59 33 ) ) PUNCT ajst-17680 59 34 5 5 NUM ajst-17680 59 35 . . PUNCT ajst-17680 60 1 make make VERB ajst-17680 60 2 πœƒ πœƒ NOUN ajst-17680 60 3 the the DET ajst-17680 60 4 change change NOUN ajst-17680 60 5 through through ADP ajst-17680 60 6 the the DET ajst-17680 60 7 following follow VERB ajst-17680 60 8 formula formula NOUN ajst-17680 60 9 : : PUNCT ajst-17680 60 10 𝑃 𝑃 NOUN ajst-17680 60 11 πœƒ πœƒ NOUN ajst-17680 60 12 ( ( PUNCT ajst-17680 60 13 18 18 NUM ajst-17680 60 14 ) ) PUNCT ajst-17680 60 15 calculate calculate NOUN ajst-17680 60 16 the the DET ajst-17680 60 17 spectral spectral ADJ ajst-17680 60 18 function function NOUN ajst-17680 60 19 and and CCONJ ajst-17680 60 20 obtain obtain VERB ajst-17680 60 21 an an DET ajst-17680 60 22 estimate estimate NOUN ajst-17680 60 23 of of ADP ajst-17680 60 24 the the DET ajst-17680 60 25 direction direction NOUN ajst-17680 60 26 of of ADP ajst-17680 60 27 arrival arrival NOUN ajst-17680 60 28 by by ADP ajst-17680 60 29 finding find VERB ajst-17680 60 30 the the DET ajst-17680 60 31 peak peak NOUN ajst-17680 60 32 value value NOUN ajst-17680 60 33 . . PUNCT ajst-17680 61 1 4 4 X ajst-17680 61 2 . . X ajst-17680 61 3 matlab matlab PROPN ajst-17680 61 4 simulation simulation PROPN ajst-17680 61 5 analysis analysis NOUN ajst-17680 61 6 4.1 4.1 NUM ajst-17680 61 7 . . PUNCT ajst-17680 62 1 comparison comparison NOUN ajst-17680 62 2 between between ADP ajst-17680 62 3 classic classic ADJ ajst-17680 62 4 music music NOUN ajst-17680 62 5 algorithm algorithm NOUN ajst-17680 62 6 and and CCONJ ajst-17680 62 7 fused fuse VERB ajst-17680 62 8 music music NOUN ajst-17680 62 9 algorithm algorithm NOUN ajst-17680 62 10 use use NOUN ajst-17680 62 11 matlab matlab PROPN ajst-17680 62 12 2021b 2021b NUM ajst-17680 62 13 software software NOUN ajst-17680 62 14 for for ADP ajst-17680 62 15 simulation simulation NOUN ajst-17680 62 16 analysis analysis NOUN ajst-17680 62 17 . . PUNCT ajst-17680 63 1 assume assume VERB ajst-17680 63 2 that that SCONJ ajst-17680 63 3 there there PRON ajst-17680 63 4 are be VERB ajst-17680 63 5 two two NUM ajst-17680 63 6 independent independent ADJ ajst-17680 63 7 narrowband narrowband NOUN ajst-17680 63 8 signals signal NOUN ajst-17680 63 9 , , PUNCT ajst-17680 63 10 the the DET ajst-17680 63 11 signal signal ADJ ajst-17680 63 12 incident incident NOUN ajst-17680 63 13 angles angle NOUN ajst-17680 63 14 are be AUX ajst-17680 63 15 20 20 NUM ajst-17680 63 16 Β° Β° NOUN ajst-17680 63 17 ,55 ,55 PUNCT ajst-17680 63 18 Β° Β° PROPN ajst-17680 63 19 , , PUNCT ajst-17680 63 20 the the DET ajst-17680 63 21 number number NOUN ajst-17680 63 22 of of ADP ajst-17680 63 23 array array NOUN ajst-17680 63 24 elements element NOUN ajst-17680 63 25 is be AUX ajst-17680 63 26 10 10 NUM ajst-17680 63 27 , , PUNCT ajst-17680 63 28 the the DET ajst-17680 63 29 number number NOUN ajst-17680 63 30 of of ADP ajst-17680 63 31 snapshots snapshot NOUN ajst-17680 63 32 is be AUX ajst-17680 63 33 200 200 NUM ajst-17680 63 34 , , PUNCT ajst-17680 63 35 the the DET ajst-17680 63 36 array array NOUN ajst-17680 63 37 element element NOUN ajst-17680 63 38 spacing spacing NOUN ajst-17680 63 39 is be AUX ajst-17680 63 40 1 1 NUM ajst-17680 63 41 2⁄ 2⁄ NUM ajst-17680 63 42 , , PUNCT ajst-17680 63 43 and and CCONJ ajst-17680 63 44 the the DET ajst-17680 63 45 signal signal NOUN ajst-17680 63 46 - - PUNCT ajst-17680 63 47 to to ADP ajst-17680 63 48 - - PUNCT ajst-17680 63 49 noise noise NOUN ajst-17680 63 50 ratio ratio NOUN ajst-17680 63 51 is be AUX ajst-17680 63 52 20db 20db ADJ ajst-17680 63 53 , , PUNCT ajst-17680 63 54 the the DET ajst-17680 63 55 following follow VERB ajst-17680 63 56 are be AUX ajst-17680 63 57 the the DET ajst-17680 63 58 classical classical ADJ ajst-17680 63 59 music music NOUN ajst-17680 63 60 algorithm algorithm NOUN ajst-17680 63 61 and and CCONJ ajst-17680 63 62 fusion fusion NOUN ajst-17680 63 63 respectively respectively ADV ajst-17680 63 64 music music NOUN ajst-17680 63 65 algorithm algorithm NOUN ajst-17680 63 66 is be AUX ajst-17680 63 67 used use VERB ajst-17680 63 68 for for ADP ajst-17680 63 69 simulation simulation NOUN ajst-17680 63 70 , , PUNCT ajst-17680 63 71 and and CCONJ ajst-17680 63 72 the the DET ajst-17680 63 73 results result NOUN ajst-17680 63 74 are be AUX ajst-17680 63 75 shown show VERB ajst-17680 63 76 in in ADP ajst-17680 63 77 figure figure NOUN ajst-17680 63 78 2 2 NUM ajst-17680 63 79 : : PUNCT ajst-17680 63 80 figure figure NOUN ajst-17680 63 81 2 2 NUM ajst-17680 63 82 . . PUNCT ajst-17680 63 83 comparison comparison NOUN ajst-17680 63 84 between between ADP ajst-17680 63 85 classic classic ADJ ajst-17680 63 86 music music NOUN ajst-17680 63 87 algorithm algorithm NOUN ajst-17680 63 88 and and CCONJ ajst-17680 63 89 fused fuse VERB ajst-17680 63 90 music music NOUN ajst-17680 63 91 algorithm algorithm NOUN ajst-17680 63 92 the the DET ajst-17680 63 93 simulation simulation NOUN ajst-17680 63 94 results result NOUN ajst-17680 63 95 show show VERB ajst-17680 63 96 that that SCONJ ajst-17680 63 97 under under ADP ajst-17680 63 98 the the DET ajst-17680 63 99 same same ADJ ajst-17680 63 100 conditions condition NOUN ajst-17680 63 101 , , PUNCT ajst-17680 63 102 the the DET ajst-17680 63 103 fused fuse VERB ajst-17680 63 104 music music NOUN ajst-17680 63 105 algorithm algorithm NOUN ajst-17680 63 106 is be AUX ajst-17680 63 107 significantly significantly ADV ajst-17680 63 108 better well ADJ ajst-17680 63 109 than than ADP ajst-17680 63 110 the the DET ajst-17680 63 111 classic classic ADJ ajst-17680 63 112 music music NOUN ajst-17680 63 113 algorithm algorithm NOUN ajst-17680 63 114 , , PUNCT ajst-17680 63 115 verifying verify VERB ajst-17680 63 116 the the DET ajst-17680 63 117 feasibility feasibility NOUN ajst-17680 63 118 of of ADP ajst-17680 63 119 the the DET ajst-17680 63 120 fused fuse VERB ajst-17680 63 121 music music NOUN ajst-17680 63 122 algorithm algorithm NOUN ajst-17680 63 123 proposed propose VERB ajst-17680 63 124 in in ADP ajst-17680 63 125 this this DET ajst-17680 63 126 article article NOUN ajst-17680 63 127 . . PUNCT ajst-17680 64 1 next next ADV ajst-17680 64 2 , , PUNCT ajst-17680 64 3 compare compare VERB ajst-17680 64 4 different different ADJ ajst-17680 64 5 parameters parameter NOUN ajst-17680 64 6 of of ADP ajst-17680 64 7 the the DET ajst-17680 64 8 algorithm algorithm NOUN ajst-17680 64 9 proposed propose VERB ajst-17680 64 10 in in ADP ajst-17680 64 11 this this DET ajst-17680 64 12 article article NOUN ajst-17680 64 13 and and CCONJ ajst-17680 64 14 analyze analyze VERB ajst-17680 64 15 its its PRON ajst-17680 64 16 impact impact NOUN ajst-17680 64 17 . . PUNCT ajst-17680 65 1 4.2 4.2 NUM ajst-17680 65 2 . . PUNCT ajst-17680 66 1 the the DET ajst-17680 66 2 impact impact NOUN ajst-17680 66 3 of of ADP ajst-17680 66 4 different different ADJ ajst-17680 66 5 array array NOUN ajst-17680 66 6 element element NOUN ajst-17680 66 7 numbers number NOUN ajst-17680 66 8 on on ADP ajst-17680 66 9 the the DET ajst-17680 66 10 fusion fusion NOUN ajst-17680 66 11 music music NOUN ajst-17680 66 12 algorithm algorithm NOUN ajst-17680 66 13 the the DET ajst-17680 66 14 incident incident NOUN ajst-17680 66 15 angle angle NOUN ajst-17680 66 16 , , PUNCT ajst-17680 66 17 number number NOUN ajst-17680 66 18 of of ADP ajst-17680 66 19 snapshots snapshot NOUN ajst-17680 66 20 , , PUNCT ajst-17680 66 21 and and CCONJ ajst-17680 66 22 array array VERB ajst-17680 66 23 element element NOUN ajst-17680 66 24 spacing spacing NOUN ajst-17680 66 25 remain remain VERB ajst-17680 66 26 unchanged unchanged ADJ ajst-17680 66 27 , , PUNCT ajst-17680 66 28 and and CCONJ ajst-17680 66 29 the the DET ajst-17680 66 30 number number NOUN ajst-17680 66 31 of of ADP ajst-17680 66 32 array array NOUN ajst-17680 66 33 elements element NOUN ajst-17680 66 34 is be AUX ajst-17680 66 35 set set VERB ajst-17680 66 36 to to ADP ajst-17680 66 37 10 10 NUM ajst-17680 66 38 , , PUNCT ajst-17680 66 39 20 20 NUM ajst-17680 66 40 , , PUNCT ajst-17680 66 41 and and CCONJ ajst-17680 66 42 30 30 NUM ajst-17680 66 43 respectively respectively ADV ajst-17680 66 44 . . PUNCT ajst-17680 67 1 the the DET ajst-17680 67 2 impact impact NOUN ajst-17680 67 3 of of ADP ajst-17680 67 4 different different ADJ ajst-17680 67 5 numbers number NOUN ajst-17680 67 6 of of ADP ajst-17680 67 7 array array NOUN ajst-17680 67 8 elements element NOUN ajst-17680 67 9 on on ADP ajst-17680 67 10 the the DET ajst-17680 67 11 performance performance NOUN ajst-17680 67 12 of of ADP ajst-17680 67 13 the the DET ajst-17680 67 14 algorithm algorithm NOUN ajst-17680 67 15 is be AUX ajst-17680 67 16 analyzed analyze VERB ajst-17680 67 17 . . PUNCT ajst-17680 68 1 the the DET ajst-17680 68 2 simulation simulation NOUN ajst-17680 68 3 results result NOUN ajst-17680 68 4 are be AUX ajst-17680 68 5 shown show VERB ajst-17680 68 6 in in ADP ajst-17680 68 7 figure figure NOUN ajst-17680 68 8 3 3 NUM ajst-17680 68 9 : : PUNCT ajst-17680 68 10 figure figure VERB ajst-17680 68 11 3 3 NUM ajst-17680 68 12 . . PUNCT ajst-17680 68 13 fusion fusion NOUN ajst-17680 68 14 music music NOUN ajst-17680 68 15 algorithm algorithm NOUN ajst-17680 68 16 when when SCONJ ajst-17680 68 17 the the DET ajst-17680 68 18 number number NOUN ajst-17680 68 19 of of ADP ajst-17680 68 20 array array NOUN ajst-17680 68 21 elements element NOUN ajst-17680 68 22 is be AUX ajst-17680 68 23 different different ADJ ajst-17680 68 24 it it PRON ajst-17680 68 25 can can AUX ajst-17680 68 26 be be AUX ajst-17680 68 27 seen see VERB ajst-17680 68 28 from from ADP ajst-17680 68 29 figure figure NOUN ajst-17680 68 30 3 3 NUM ajst-17680 68 31 that that SCONJ ajst-17680 68 32 when when SCONJ ajst-17680 68 33 only only ADV ajst-17680 68 34 the the DET ajst-17680 68 35 number number NOUN ajst-17680 68 36 of of ADP ajst-17680 68 37 array array NOUN ajst-17680 68 38 elements element NOUN ajst-17680 68 39 is be AUX ajst-17680 68 40 changed change VERB ajst-17680 68 41 and and CCONJ ajst-17680 68 42 other other ADJ ajst-17680 68 43 conditions condition NOUN ajst-17680 68 44 remain remain VERB ajst-17680 68 45 unchanged unchanged ADJ ajst-17680 68 46 , , PUNCT ajst-17680 68 47 increasing increase VERB ajst-17680 68 48 the the DET ajst-17680 68 49 number number NOUN ajst-17680 68 50 of of ADP ajst-17680 68 51 array array NOUN ajst-17680 68 52 elements element NOUN ajst-17680 68 53 will will AUX ajst-17680 68 54 narrow narrow VERB ajst-17680 68 55 the the DET ajst-17680 68 56 beam beam NOUN ajst-17680 68 57 width width NOUN ajst-17680 68 58 of of ADP ajst-17680 68 59 the the DET ajst-17680 68 60 estimated estimate VERB ajst-17680 68 61 spectrum spectrum NOUN ajst-17680 68 62 and and CCONJ ajst-17680 68 63 make make VERB ajst-17680 68 64 the the DET ajst-17680 68 65 estimation estimation NOUN ajst-17680 68 66 result result VERB ajst-17680 68 67 more more ADV ajst-17680 68 68 accurate accurate ADJ ajst-17680 68 69 . . PUNCT ajst-17680 69 1 therefore therefore ADV ajst-17680 69 2 , , PUNCT ajst-17680 69 3 more more ADV ajst-17680 69 4 accurate accurate ADJ ajst-17680 69 5 results result NOUN ajst-17680 69 6 can can AUX ajst-17680 69 7 be be AUX ajst-17680 69 8 obtained obtain VERB ajst-17680 69 9 by by ADP ajst-17680 69 10 increasing increase VERB ajst-17680 69 11 the the DET ajst-17680 69 12 number number NOUN ajst-17680 69 13 of of ADP ajst-17680 69 14 array array NOUN ajst-17680 69 15 elements element NOUN ajst-17680 69 16 . . PUNCT ajst-17680 70 1 the the DET ajst-17680 70 2 result result NOUN ajst-17680 70 3 of of ADP ajst-17680 70 4 . . PROPN ajst-17680 71 1 4.3 4.3 NUM ajst-17680 71 2 . . PUNCT ajst-17680 72 1 the the DET ajst-17680 72 2 impact impact NOUN ajst-17680 72 3 of of ADP ajst-17680 72 4 different different ADJ ajst-17680 72 5 array array NOUN ajst-17680 72 6 element element NOUN ajst-17680 72 7 spacing spacing NOUN ajst-17680 72 8 on on ADP ajst-17680 72 9 the the DET ajst-17680 72 10 fusion fusion NOUN ajst-17680 72 11 music music NOUN ajst-17680 72 12 algorithm algorithm NOUN ajst-17680 72 13 keeping keep VERB ajst-17680 72 14 other other ADJ ajst-17680 72 15 conditions condition NOUN ajst-17680 72 16 unchanged unchanged ADJ ajst-17680 72 17 , , PUNCT ajst-17680 72 18 set set VERB ajst-17680 72 19 the the DET ajst-17680 72 20 array array NOUN ajst-17680 72 21 element element NOUN ajst-17680 72 22 spacing space VERB ajst-17680 72 23 to to ADP ajst-17680 72 24 𝑑 𝑑 PROPN ajst-17680 72 25 4⁄ 4⁄ NUM ajst-17680 72 26 , , PUNCT ajst-17680 72 27 𝑑 𝑑 PROPN ajst-17680 72 28 2⁄ 2⁄ NUM ajst-17680 72 29 , , PUNCT ajst-17680 72 30 and and CCONJ ajst-17680 72 31 respectively respectively ADV ajst-17680 72 32 𝑑 𝑑 PRON ajst-17680 72 33 to to PART ajst-17680 72 34 analyze analyze VERB ajst-17680 72 35 the the DET ajst-17680 72 36 impact impact NOUN ajst-17680 72 37 of of ADP ajst-17680 72 38 different different ADJ ajst-17680 72 39 array array NOUN ajst-17680 72 40 element element NOUN ajst-17680 72 41 spacing spacing NOUN ajst-17680 72 42 on on ADP ajst-17680 72 43 the the DET ajst-17680 72 44 algorithm algorithm NOUN ajst-17680 72 45 performance performance NOUN ajst-17680 72 46 . . PUNCT ajst-17680 73 1 the the DET ajst-17680 73 2 simulation simulation NOUN ajst-17680 73 3 results result NOUN ajst-17680 73 4 are be AUX ajst-17680 73 5 shown show VERB ajst-17680 73 6 in in ADP ajst-17680 73 7 figure figure NOUN ajst-17680 73 8 4 4 NUM ajst-17680 73 9 : : PUNCT ajst-17680 73 10 figure figure VERB ajst-17680 73 11 4 4 NUM ajst-17680 73 12 . . PUNCT ajst-17680 73 13 fusion fusion NOUN ajst-17680 73 14 music music NOUN ajst-17680 73 15 algorithm algorithm NOUN ajst-17680 73 16 when when SCONJ ajst-17680 73 17 array array NOUN ajst-17680 73 18 element element NOUN ajst-17680 73 19 spacing spacing NOUN ajst-17680 73 20 is be AUX ajst-17680 73 21 different different ADJ ajst-17680 73 22 it it PRON ajst-17680 73 23 can can AUX ajst-17680 73 24 be be AUX ajst-17680 73 25 seen see VERB ajst-17680 73 26 from from ADP ajst-17680 73 27 figure figure NOUN ajst-17680 73 28 4 4 NUM ajst-17680 73 29 that that SCONJ ajst-17680 73 30 when when SCONJ ajst-17680 73 31 the the DET ajst-17680 73 32 array array NOUN ajst-17680 73 33 element element NOUN ajst-17680 73 34 spacing spacing NOUN ajst-17680 73 35 is be AUX ajst-17680 73 36 𝑑 𝑑 PROPN ajst-17680 73 37 4⁄ 4⁄ NUM ajst-17680 73 38 , , PUNCT ajst-17680 73 39 its its PRON ajst-17680 73 40 effect effect NOUN ajst-17680 73 41 is be AUX ajst-17680 73 42 obviously obviously ADV ajst-17680 73 43 worse bad ADJ ajst-17680 73 44 than than ADP ajst-17680 73 45 𝑑 𝑑 PROPN ajst-17680 73 46 2⁄ 2⁄ NUM ajst-17680 73 47 that that PRON ajst-17680 73 48 of of ADP ajst-17680 73 49 the the DET ajst-17680 73 50 array array NOUN ajst-17680 73 51 element element NOUN ajst-17680 73 52 spacing spacing NOUN ajst-17680 73 53 , , PUNCT ajst-17680 73 54 and and CCONJ ajst-17680 73 55 the the DET ajst-17680 73 56 beam beam NOUN ajst-17680 73 57 width width NOUN ajst-17680 73 58 of of ADP ajst-17680 73 59 the the DET ajst-17680 73 60 estimated estimate VERB ajst-17680 73 61 spectrum spectrum NOUN ajst-17680 73 62 becomes become VERB ajst-17680 73 63 wider wide ADJ ajst-17680 73 64 . . PUNCT ajst-17680 74 1 when when SCONJ ajst-17680 74 2 the the DET ajst-17680 74 3 array array NOUN ajst-17680 74 4 element element NOUN ajst-17680 74 5 spacing spacing NOUN ajst-17680 74 6 is be AUX ajst-17680 74 7 𝑑 𝑑 NOUN ajst-17680 74 8 , , PUNCT ajst-17680 74 9 although although SCONJ ajst-17680 74 10 the the DET ajst-17680 74 11 beam beam NOUN ajst-17680 74 12 width width NOUN ajst-17680 74 13 of of ADP ajst-17680 74 14 the the DET ajst-17680 74 15 same same ADJ ajst-17680 74 16 estimated estimate VERB ajst-17680 74 17 spectrum spectrum NOUN ajst-17680 74 18 will will AUX ajst-17680 74 19 become become VERB ajst-17680 74 20 narrower narrow ADJ ajst-17680 74 21 , , PUNCT ajst-17680 74 22 false false ADJ ajst-17680 74 23 spectral spectral ADJ ajst-17680 74 24 peaks peak NOUN ajst-17680 74 25 will will AUX ajst-17680 74 26 appear appear VERB ajst-17680 74 27 , , PUNCT ajst-17680 74 28 which which PRON ajst-17680 74 29 can can AUX ajst-17680 74 30 not not PART ajst-17680 74 31 truly truly ADV ajst-17680 74 32 reflect reflect VERB ajst-17680 74 33 the the DET ajst-17680 74 34 direction direction NOUN ajst-17680 74 35 of of ADP ajst-17680 74 36 the the DET ajst-17680 74 37 incident incident NOUN ajst-17680 74 38 120 120 NUM ajst-17680 74 39 angle angle NOUN ajst-17680 74 40 of of ADP ajst-17680 74 41 the the DET ajst-17680 74 42 signal signal ADJ ajst-17680 74 43 source source NOUN ajst-17680 74 44 . . PUNCT ajst-17680 75 1 4.4 4.4 NUM ajst-17680 75 2 . . PUNCT ajst-17680 76 1 the the DET ajst-17680 76 2 impact impact NOUN ajst-17680 76 3 of of ADP ajst-17680 76 4 different different ADJ ajst-17680 76 5 snapshot snapshot ADJ ajst-17680 76 6 numbers number NOUN ajst-17680 76 7 on on ADP ajst-17680 76 8 the the DET ajst-17680 76 9 fusion fusion NOUN ajst-17680 76 10 music music NOUN ajst-17680 76 11 algorithm algorithm NOUN ajst-17680 76 12 keeping keep VERB ajst-17680 76 13 other other ADJ ajst-17680 76 14 conditions condition NOUN ajst-17680 76 15 unchanged unchanged ADJ ajst-17680 76 16 , , PUNCT ajst-17680 76 17 set set VERB ajst-17680 76 18 the the DET ajst-17680 76 19 number number NOUN ajst-17680 76 20 of of ADP ajst-17680 76 21 snapshots snapshot NOUN ajst-17680 76 22 to to ADP ajst-17680 76 23 5 5 NUM ajst-17680 76 24 , , PUNCT ajst-17680 76 25 20 20 NUM ajst-17680 76 26 , , PUNCT ajst-17680 76 27 and and CCONJ ajst-17680 76 28 100 100 NUM ajst-17680 76 29 respectively respectively ADV ajst-17680 76 30 to to PART ajst-17680 76 31 analyze analyze VERB ajst-17680 76 32 the the DET ajst-17680 76 33 impact impact NOUN ajst-17680 76 34 of of ADP ajst-17680 76 35 different different ADJ ajst-17680 76 36 number number NOUN ajst-17680 76 37 of of ADP ajst-17680 76 38 snapshots snapshot NOUN ajst-17680 76 39 on on ADP ajst-17680 76 40 the the DET ajst-17680 76 41 performance performance NOUN ajst-17680 76 42 of of ADP ajst-17680 76 43 the the DET ajst-17680 76 44 algorithm algorithm NOUN ajst-17680 76 45 . . PUNCT ajst-17680 77 1 the the DET ajst-17680 77 2 simulation simulation NOUN ajst-17680 77 3 results result NOUN ajst-17680 77 4 are be AUX ajst-17680 77 5 shown show VERB ajst-17680 77 6 in in ADP ajst-17680 77 7 figure figure NOUN ajst-17680 77 8 5 5 NUM ajst-17680 77 9 : : PUNCT ajst-17680 77 10 figure figure NOUN ajst-17680 77 11 5 5 NUM ajst-17680 77 12 . . PUNCT ajst-17680 77 13 fusion fusion NOUN ajst-17680 77 14 music music NOUN ajst-17680 77 15 algorithm algorithm NOUN ajst-17680 77 16 when when SCONJ ajst-17680 77 17 the the DET ajst-17680 77 18 number number NOUN ajst-17680 77 19 of of ADP ajst-17680 77 20 snapshots snapshot NOUN ajst-17680 77 21 is be AUX ajst-17680 77 22 different different ADJ ajst-17680 77 23 as as SCONJ ajst-17680 77 24 can can AUX ajst-17680 77 25 be be AUX ajst-17680 77 26 seen see VERB ajst-17680 77 27 from from ADP ajst-17680 77 28 figure figure NOUN ajst-17680 77 29 5 5 NUM ajst-17680 77 30 , , PUNCT ajst-17680 77 31 when when SCONJ ajst-17680 77 32 other other ADJ ajst-17680 77 33 conditions condition NOUN ajst-17680 77 34 are be AUX ajst-17680 77 35 the the DET ajst-17680 77 36 same same ADJ ajst-17680 77 37 , , PUNCT ajst-17680 77 38 the the DET ajst-17680 77 39 beam beam NOUN ajst-17680 77 40 width width NOUN ajst-17680 77 41 of of ADP ajst-17680 77 42 the the DET ajst-17680 77 43 estimated estimate VERB ajst-17680 77 44 spectrum spectrum NOUN ajst-17680 77 45 will will AUX ajst-17680 77 46 become become VERB ajst-17680 77 47 narrower narrow ADJ ajst-17680 77 48 as as ADP ajst-17680 77 49 the the DET ajst-17680 77 50 number number NOUN ajst-17680 77 51 of of ADP ajst-17680 77 52 snapshots snapshot NOUN ajst-17680 77 53 increases increase NOUN ajst-17680 77 54 , , PUNCT ajst-17680 77 55 which which PRON ajst-17680 77 56 increases increase VERB ajst-17680 77 57 the the DET ajst-17680 77 58 estimation estimation NOUN ajst-17680 77 59 accuracy accuracy NOUN ajst-17680 77 60 . . PUNCT ajst-17680 78 1 therefore therefore ADV ajst-17680 78 2 , , PUNCT ajst-17680 78 3 the the DET ajst-17680 78 4 number number NOUN ajst-17680 78 5 of of ADP ajst-17680 78 6 sampling sample VERB ajst-17680 78 7 snapshots snapshot NOUN ajst-17680 78 8 can can AUX ajst-17680 78 9 be be AUX ajst-17680 78 10 increased increase VERB ajst-17680 78 11 to to PART ajst-17680 78 12 improve improve VERB ajst-17680 78 13 the the DET ajst-17680 78 14 accuracy accuracy NOUN ajst-17680 78 15 of of ADP ajst-17680 78 16 the the DET ajst-17680 78 17 algorithm algorithm NOUN ajst-17680 78 18 . . PUNCT ajst-17680 79 1 4.5 4.5 NUM ajst-17680 79 2 . . PUNCT ajst-17680 80 1 the the DET ajst-17680 80 2 impact impact NOUN ajst-17680 80 3 of of ADP ajst-17680 80 4 different different ADJ ajst-17680 80 5 signal signal NOUN ajst-17680 80 6 - - PUNCT ajst-17680 80 7 to to ADP ajst-17680 80 8 - - PUNCT ajst-17680 80 9 noise noise NOUN ajst-17680 80 10 ratios ratio NOUN ajst-17680 80 11 on on ADP ajst-17680 80 12 the the DET ajst-17680 80 13 fusion fusion NOUN ajst-17680 80 14 music music NOUN ajst-17680 80 15 algorithm algorithm NOUN ajst-17680 80 16 keeping keep VERB ajst-17680 80 17 other other ADJ ajst-17680 80 18 conditions condition NOUN ajst-17680 80 19 unchanged unchanged ADJ ajst-17680 80 20 , , PUNCT ajst-17680 80 21 set set VERB ajst-17680 80 22 the the DET ajst-17680 80 23 signal signal NOUN ajst-17680 80 24 - - PUNCT ajst-17680 80 25 tonoise tonoise NOUN ajst-17680 80 26 ratio ratio NOUN ajst-17680 80 27 to to ADP ajst-17680 80 28 -10 -10 PUNCT ajst-17680 80 29 db db PROPN ajst-17680 80 30 , , PUNCT ajst-17680 80 31 0 0 NUM ajst-17680 80 32 db db NOUN ajst-17680 80 33 and and CCONJ ajst-17680 80 34 10 10 NUM ajst-17680 80 35 db db NOUN ajst-17680 80 36 respectively respectively ADV ajst-17680 80 37 to to PART ajst-17680 80 38 analyze analyze VERB ajst-17680 80 39 the the DET ajst-17680 80 40 impact impact NOUN ajst-17680 80 41 of of ADP ajst-17680 80 42 different different ADJ ajst-17680 80 43 signal signal NOUN ajst-17680 80 44 - - PUNCT ajst-17680 80 45 to to ADP ajst-17680 80 46 - - PUNCT ajst-17680 80 47 noise noise NOUN ajst-17680 80 48 ratios ratio NOUN ajst-17680 80 49 on on ADP ajst-17680 80 50 the the DET ajst-17680 80 51 performance performance NOUN ajst-17680 80 52 of of ADP ajst-17680 80 53 the the DET ajst-17680 80 54 algorithm algorithm NOUN ajst-17680 80 55 . . PUNCT ajst-17680 81 1 the the DET ajst-17680 81 2 simulation simulation NOUN ajst-17680 81 3 results result NOUN ajst-17680 81 4 are be AUX ajst-17680 81 5 shown show VERB ajst-17680 81 6 in in ADP ajst-17680 81 7 figure figure NOUN ajst-17680 81 8 6 6 NUM ajst-17680 81 9 : : PUNCT ajst-17680 81 10 figure figure NOUN ajst-17680 81 11 6 6 NUM ajst-17680 81 12 . . PUNCT ajst-17680 81 13 fusion fusion NOUN ajst-17680 81 14 of of ADP ajst-17680 81 15 music music NOUN ajst-17680 81 16 algorithm algorithm NOUN ajst-17680 81 17 with with ADP ajst-17680 81 18 different different ADJ ajst-17680 81 19 signalto signalto NOUN ajst-17680 81 20 - - PUNCT ajst-17680 81 21 noise noise NOUN ajst-17680 81 22 ratios ratio NOUN ajst-17680 81 23 it it PRON ajst-17680 81 24 can can AUX ajst-17680 81 25 be be AUX ajst-17680 81 26 seen see VERB ajst-17680 81 27 from from ADP ajst-17680 81 28 figure figure NOUN ajst-17680 81 29 6 6 NUM ajst-17680 81 30 that that SCONJ ajst-17680 81 31 , , PUNCT ajst-17680 81 32 under under ADP ajst-17680 81 33 other other ADJ ajst-17680 81 34 conditions condition NOUN ajst-17680 81 35 being be AUX ajst-17680 81 36 the the DET ajst-17680 81 37 same same ADJ ajst-17680 81 38 , , PUNCT ajst-17680 81 39 the the DET ajst-17680 81 40 performance performance NOUN ajst-17680 81 41 of of ADP ajst-17680 81 42 the the DET ajst-17680 81 43 algorithm algorithm NOUN ajst-17680 81 44 will will AUX ajst-17680 81 45 decrease decrease VERB ajst-17680 81 46 rapidly rapidly ADV ajst-17680 81 47 when when SCONJ ajst-17680 81 48 the the DET ajst-17680 81 49 signal signal NOUN ajst-17680 81 50 - - PUNCT ajst-17680 81 51 to to ADP ajst-17680 81 52 - - PUNCT ajst-17680 81 53 noise noise NOUN ajst-17680 81 54 ratio ratio NOUN ajst-17680 81 55 is be AUX ajst-17680 81 56 low low ADJ ajst-17680 81 57 , , PUNCT ajst-17680 81 58 the the DET ajst-17680 81 59 beam beam NOUN ajst-17680 81 60 width width NOUN ajst-17680 81 61 of of ADP ajst-17680 81 62 the the DET ajst-17680 81 63 estimated estimate VERB ajst-17680 81 64 spectrum spectrum NOUN ajst-17680 81 65 will will AUX ajst-17680 81 66 become become VERB ajst-17680 81 67 narrower narrow ADJ ajst-17680 81 68 as as ADP ajst-17680 81 69 the the DET ajst-17680 81 70 signal signal NOUN ajst-17680 81 71 - - PUNCT ajst-17680 81 72 to to ADP ajst-17680 81 73 - - PUNCT ajst-17680 81 74 noise noise NOUN ajst-17680 81 75 ratio ratio NOUN ajst-17680 81 76 increases increase NOUN ajst-17680 81 77 , , PUNCT ajst-17680 81 78 and and CCONJ ajst-17680 81 79 the the DET ajst-17680 81 80 estimation estimation NOUN ajst-17680 81 81 accuracy accuracy NOUN ajst-17680 81 82 increases increase NOUN ajst-17680 81 83 , , PUNCT ajst-17680 81 84 so so CCONJ ajst-17680 81 85 the the DET ajst-17680 81 86 signal signal NOUN ajst-17680 81 87 - - PUNCT ajst-17680 81 88 to to ADP ajst-17680 81 89 - - PUNCT ajst-17680 81 90 noise noise NOUN ajst-17680 81 91 ratio ratio NOUN ajst-17680 81 92 can can AUX ajst-17680 81 93 be be AUX ajst-17680 81 94 increased increase VERB ajst-17680 81 95 to to PART ajst-17680 81 96 improve improve VERB ajst-17680 81 97 the the DET ajst-17680 81 98 accuracy accuracy NOUN ajst-17680 81 99 of of ADP ajst-17680 81 100 the the DET ajst-17680 81 101 algorithm algorithm NOUN ajst-17680 81 102 . . PUNCT ajst-17680 82 1 5 5 X ajst-17680 82 2 . . X ajst-17680 82 3 conclusion conclusion NOUN ajst-17680 82 4 based base VERB ajst-17680 82 5 on on ADP ajst-17680 82 6 the the DET ajst-17680 82 7 classic classic ADJ ajst-17680 82 8 music music NOUN ajst-17680 82 9 algorithm algorithm NOUN ajst-17680 82 10 , , PUNCT ajst-17680 82 11 this this DET ajst-17680 82 12 paper paper NOUN ajst-17680 82 13 proposes propose VERB ajst-17680 82 14 a a DET ajst-17680 82 15 fused fuse VERB ajst-17680 82 16 music music NOUN ajst-17680 82 17 algorithm algorithm NOUN ajst-17680 82 18 in in ADP ajst-17680 82 19 order order NOUN ajst-17680 82 20 to to PART ajst-17680 82 21 obtain obtain VERB ajst-17680 82 22 a a DET ajst-17680 82 23 higherprecision higherprecision NOUN ajst-17680 82 24 algorithm algorithm NOUN ajst-17680 82 25 . . PUNCT ajst-17680 83 1 the the DET ajst-17680 83 2 essence essence NOUN ajst-17680 83 3 of of ADP ajst-17680 83 4 this this DET ajst-17680 83 5 algorithm algorithm NOUN ajst-17680 83 6 is be AUX ajst-17680 83 7 to to PART ajst-17680 83 8 integrate integrate VERB ajst-17680 83 9 the the DET ajst-17680 83 10 ideas idea NOUN ajst-17680 83 11 of of ADP ajst-17680 83 12 the the DET ajst-17680 83 13 improved improve VERB ajst-17680 83 14 music music NOUN ajst-17680 83 15 algorithm algorithm NOUN ajst-17680 83 16 and and CCONJ ajst-17680 83 17 the the DET ajst-17680 83 18 maximum maximum ADJ ajst-17680 83 19 likelihood likelihood NOUN ajst-17680 83 20 method method NOUN ajst-17680 83 21 , , PUNCT ajst-17680 83 22 reconstruct reconstruct VERB ajst-17680 83 23 the the DET ajst-17680 83 24 covariance covariance NOUN ajst-17680 83 25 matrix matrix NOUN ajst-17680 83 26 through through ADP ajst-17680 83 27 the the DET ajst-17680 83 28 improved improved ADJ ajst-17680 83 29 algorithm algorithm NOUN ajst-17680 83 30 , , PUNCT ajst-17680 83 31 and and CCONJ ajst-17680 83 32 integrate integrate VERB ajst-17680 83 33 the the DET ajst-17680 83 34 optimization optimization NOUN ajst-17680 83 35 matrix matrix NOUN ajst-17680 83 36 into into ADP ajst-17680 83 37 it it PRON ajst-17680 83 38 𝑃 𝑃 NOUN ajst-17680 83 39 πœƒ πœƒ NOUN ajst-17680 83 40 . . PUNCT ajst-17680 84 1 finally finally ADV ajst-17680 84 2 , , PUNCT ajst-17680 84 3 the the DET ajst-17680 84 4 algorithm algorithm NOUN ajst-17680 84 5 proposed propose VERB ajst-17680 84 6 in in ADP ajst-17680 84 7 this this DET ajst-17680 84 8 article article NOUN ajst-17680 84 9 is be AUX ajst-17680 84 10 implemented implement VERB ajst-17680 84 11 through through ADP ajst-17680 84 12 matlab matlab PROPN ajst-17680 84 13 software software NOUN ajst-17680 84 14 . . PUNCT ajst-17680 85 1 computer computer NOUN ajst-17680 85 2 simulation simulation NOUN ajst-17680 85 3 . . PUNCT ajst-17680 86 1 the the DET ajst-17680 86 2 simulation simulation NOUN ajst-17680 86 3 results result NOUN ajst-17680 86 4 show show VERB ajst-17680 86 5 that that SCONJ ajst-17680 86 6 under under ADP ajst-17680 86 7 the the DET ajst-17680 86 8 same same ADJ ajst-17680 86 9 conditions condition NOUN ajst-17680 86 10 such such ADJ ajst-17680 86 11 as as ADP ajst-17680 86 12 the the DET ajst-17680 86 13 number number NOUN ajst-17680 86 14 of of ADP ajst-17680 86 15 array array NOUN ajst-17680 86 16 elements element NOUN ajst-17680 86 17 and and CCONJ ajst-17680 86 18 the the DET ajst-17680 86 19 number number NOUN ajst-17680 86 20 of of ADP ajst-17680 86 21 snapshots snapshot NOUN ajst-17680 86 22 , , PUNCT ajst-17680 86 23 the the DET ajst-17680 86 24 algorithm algorithm NOUN ajst-17680 86 25 proposed propose VERB ajst-17680 86 26 in in ADP ajst-17680 86 27 this this DET ajst-17680 86 28 article article NOUN ajst-17680 86 29 is be AUX ajst-17680 86 30 better well ADJ ajst-17680 86 31 than than ADP ajst-17680 86 32 the the DET ajst-17680 86 33 classic classic ADJ ajst-17680 86 34 music music NOUN ajst-17680 86 35 algorithm algorithm NOUN ajst-17680 86 36 , , PUNCT ajst-17680 86 37 and and CCONJ ajst-17680 86 38 the the DET ajst-17680 86 39 resolution resolution NOUN ajst-17680 86 40 of of ADP ajst-17680 86 41 the the DET ajst-17680 86 42 fusion fusion NOUN ajst-17680 86 43 algorithm algorithm NOUN ajst-17680 86 44 will will AUX ajst-17680 86 45 increase increase VERB ajst-17680 86 46 with with ADP ajst-17680 86 47 the the DET ajst-17680 86 48 number number NOUN ajst-17680 86 49 of of ADP ajst-17680 86 50 array array NOUN ajst-17680 86 51 elements element NOUN ajst-17680 86 52 , , PUNCT ajst-17680 86 53 number number NOUN ajst-17680 86 54 of of ADP ajst-17680 86 55 snapshots snapshot NOUN ajst-17680 86 56 and and CCONJ ajst-17680 86 57 signal signal NOUN ajst-17680 86 58 - - PUNCT ajst-17680 86 59 noise noise NOUN ajst-17680 86 60 . . PUNCT ajst-17680 87 1 increased increase VERB ajst-17680 87 2 as as ADP ajst-17680 87 3 the the DET ajst-17680 87 4 ratio ratio NOUN ajst-17680 87 5 increases increase NOUN ajst-17680 87 6 . . PUNCT ajst-17680 88 1 references reference NOUN ajst-17680 88 2 [ [ X ajst-17680 88 3 1 1 NUM ajst-17680 88 4 ] ] PUNCT ajst-17680 88 5 wang wang PROPN ajst-17680 88 6 huiqiang huiqiang PROPN ajst-17680 88 7 , , PUNCT ajst-17680 88 8 gao gao PROPN ajst-17680 88 9 kaixuan kaixuan PROPN ajst-17680 88 10 , , PUNCT ajst-17680 88 11 lu lu PROPN ajst-17680 88 12 hongwu hongwu NOUN ajst-17680 88 13 . . PUNCT ajst-17680 89 1 review review NOUN ajst-17680 89 2 of of ADP ajst-17680 89 3 highprecision highprecision NOUN ajst-17680 89 4 indoor indoor ADJ ajst-17680 89 5 positioning positioning NOUN ajst-17680 89 6 research research NOUN ajst-17680 89 7 and and CCONJ ajst-17680 89 8 future future ADJ ajst-17680 89 9 development development NOUN ajst-17680 89 10 prospects prospect NOUN ajst-17680 89 11 [ [ X ajst-17680 89 12 j j X ajst-17680 89 13 ] ] X ajst-17680 89 14 . . PUNCT ajst-17680 90 1 journal journal PROPN ajst-17680 90 2 of of ADP ajst-17680 90 3 communications communication NOUN ajst-17680 90 4 , , PUNCT ajst-17680 90 5 2021 2021 NUM ajst-17680 90 6 , , PUNCT ajst-17680 90 7 42(7 42(7 NUM ajst-17680 90 8 ): ): PUNCT ajst-17680 90 9 198210 198210 NUM ajst-17680 90 10 . . PUNCT ajst-17680 91 1 [ [ X ajst-17680 91 2 2 2 NUM ajst-17680 91 3 ] ] X ajst-17680 91 4 li li PROPN ajst-17680 91 5 jianxiang jianxiang PROPN ajst-17680 91 6 . . PUNCT ajst-17680 92 1 development development NOUN ajst-17680 92 2 trends trend NOUN ajst-17680 92 3 of of ADP ajst-17680 92 4 positioning positioning NOUN ajst-17680 92 5 technology technology NOUN ajst-17680 92 6 in in ADP ajst-17680 92 7 5 5 NUM ajst-17680 92 8 g g NOUN ajst-17680 92 9 mobile mobile ADJ ajst-17680 92 10 communication communication NOUN ajst-17680 92 11 networks network NOUN ajst-17680 93 1 [ [ X ajst-17680 93 2 j j X ajst-17680 93 3 ] ] X ajst-17680 93 4 . . PUNCT ajst-17680 94 1 mobile mobile ADJ ajst-17680 94 2 communications communication NOUN ajst-17680 94 3 , , PUNCT ajst-17680 94 4 2022 2022 NUM ajst-17680 94 5 , , PUNCT ajst-17680 94 6 46(1 46(1 NUM ajst-17680 94 7 ): ): PUNCT ajst-17680 94 8 96 96 NUM ajst-17680 94 9 - - SYM ajst-17680 94 10 100 100 NUM ajst-17680 94 11 , , PUNCT ajst-17680 94 12 106 106 NUM ajst-17680 94 13 . . PUNCT ajst-17680 95 1 [ [ X ajst-17680 95 2 3 3 NUM ajst-17680 95 3 ] ] X ajst-17680 95 4 ouyang ouyang PROPN ajst-17680 95 5 jun jun PROPN ajst-17680 95 6 , , PUNCT ajst-17680 95 7 chen chen PROPN ajst-17680 95 8 shijun shijun PROPN ajst-17680 95 9 , , PUNCT ajst-17680 95 10 huang huang PROPN ajst-17680 95 11 xiaoming xiaoming PROPN ajst-17680 95 12 , , PUNCT ajst-17680 95 13 et et PROPN ajst-17680 95 14 al al PROPN ajst-17680 95 15 . . PUNCT ajst-17680 95 16 analysis analysis NOUN ajst-17680 95 17 of of ADP ajst-17680 95 18 high high ADJ ajst-17680 95 19 - - PUNCT ajst-17680 95 20 precision precision NOUN ajst-17680 95 21 positioning positioning NOUN ajst-17680 95 22 technology technology NOUN ajst-17680 95 23 for for ADP ajst-17680 95 24 5 5 NUM ajst-17680 95 25 g g NOUN ajst-17680 95 26 mobile mobile ADJ ajst-17680 95 27 communication communication NOUN ajst-17680 95 28 networks network NOUN ajst-17680 95 29 [ [ X ajst-17680 95 30 j j X ajst-17680 95 31 ] ] X ajst-17680 95 32 . . PUNCT ajst-17680 96 1 mobile mobile ADJ ajst-17680 96 2 communications communication NOUN ajst-17680 96 3 , , PUNCT ajst-17680 96 4 2019 2019 NUM ajst-17680 96 5 , , PUNCT ajst-17680 96 6 43(9 43(9 NUM ajst-17680 96 7 ): ): PUNCT ajst-17680 96 8 13 13 NUM ajst-17680 96 9 - - SYM ajst-17680 96 10 17 17 NUM ajst-17680 96 11 . . PUNCT ajst-17680 97 1 [ [ X ajst-17680 97 2 4 4 X ajst-17680 97 3 ] ] PUNCT ajst-17680 97 4 hong hong PROPN ajst-17680 97 5 xuemin xuemin PROPN ajst-17680 97 6 , , PUNCT ajst-17680 97 7 xu xu PROPN ajst-17680 97 8 xueting xueting PROPN ajst-17680 97 9 , , PUNCT ajst-17680 97 10 peng peng PROPN ajst-17680 97 11 ao ao PROPN ajst-17680 97 12 , , PUNCT ajst-17680 97 13 et et PROPN ajst-17680 97 14 al al PROPN ajst-17680 97 15 . . PROPN ajst-17680 97 16 evolution evolution NOUN ajst-17680 97 17 of of ADP ajst-17680 97 18 key key ADJ ajst-17680 97 19 technologies technology NOUN ajst-17680 97 20 and and CCONJ ajst-17680 97 21 system system NOUN ajst-17680 97 22 architecture architecture NOUN ajst-17680 97 23 based base VERB ajst-17680 97 24 on on ADP ajst-17680 97 25 integrated integrated ADJ ajst-17680 97 26 positioning positioning NOUN ajst-17680 97 27 of of ADP ajst-17680 97 28 5 5 NUM ajst-17680 97 29 g g NOUN ajst-17680 97 30 mobile mobile ADJ ajst-17680 97 31 communication communication NOUN ajst-17680 97 32 systems system NOUN ajst-17680 97 33 [ [ X ajst-17680 97 34 j j X ajst-17680 97 35 ] ] X ajst-17680 97 36 . . PUNCT ajst-17680 98 1 journal journal PROPN ajst-17680 98 2 of of ADP ajst-17680 98 3 xiamen xiamen PROPN ajst-17680 98 4 university university PROPN ajst-17680 98 5 ( ( PUNCT ajst-17680 98 6 natural natural ADJ ajst-17680 98 7 science science NOUN ajst-17680 98 8 edition edition NOUN ajst-17680 98 9 ) ) PUNCT ajst-17680 98 10 , , PUNCT ajst-17680 98 11 2021 2021 NUM ajst-17680 98 12 , , PUNCT ajst-17680 98 13 60(3 60(3 NOUN ajst-17680 98 14 ): ): PUNCT ajst-17680 98 15 571 571 NUM ajst-17680 98 16 - - SYM ajst-17680 98 17 585 585 NUM ajst-17680 98 18 . . PUNCT ajst-17680 99 1 [ [ X ajst-17680 99 2 5 5 X ajst-17680 99 3 ] ] X ajst-17680 99 4 chen chen PROPN ajst-17680 99 5 pengnian pengnian PROPN ajst-17680 99 6 , , PUNCT ajst-17680 99 7 wen wen PROPN ajst-17680 99 8 zongzhou zongzhou PROPN ajst-17680 99 9 , , PUNCT ajst-17680 99 10 li li PROPN ajst-17680 99 11 limin limin PROPN ajst-17680 99 12 , , PUNCT ajst-17680 99 13 et et PROPN ajst-17680 99 14 al al PROPN ajst-17680 99 15 . . PROPN ajst-17680 100 1 performance performance NOUN ajst-17680 100 2 analysis analysis NOUN ajst-17680 100 3 of of ADP ajst-17680 100 4 the the DET ajst-17680 100 5 classic classic ADJ ajst-17680 100 6 music music NOUN ajst-17680 100 7 algorithm algorithm NOUN ajst-17680 100 8 for for ADP ajst-17680 100 9 doa doa PROPN ajst-17680 100 10 estimation estimation NOUN ajst-17680 101 1 [ [ X ajst-17680 101 2 j j X ajst-17680 101 3 ] ] X ajst-17680 101 4 . . PUNCT ajst-17680 102 1 microprocessor microprocessor NOUN ajst-17680 102 2 , , PUNCT ajst-17680 102 3 2019 2019 NUM ajst-17680 102 4 , , PUNCT ajst-17680 102 5 40(6 40(6 NOUN ajst-17680 102 6 ): ): PUNCT ajst-17680 102 7 40 40 NUM ajst-17680 102 8 - - SYM ajst-17680 102 9 43 43 NUM ajst-17680 102 10 . . PUNCT ajst-17680 103 1 [ [ X ajst-17680 103 2 6 6 NUM ajst-17680 103 3 ] ] X ajst-17680 103 4 chen chen PROPN ajst-17680 103 5 xiaolong xiaolong PROPN ajst-17680 103 6 , , PUNCT ajst-17680 103 7 keyan keyan PROPN ajst-17680 103 8 , , PUNCT ajst-17680 103 9 huang huang PROPN ajst-17680 103 10 yong yong PROPN ajst-17680 103 11 . . PUNCT ajst-17680 104 1 performance performance NOUN ajst-17680 104 2 analysis analysis NOUN ajst-17680 104 3 and and CCONJ ajst-17680 104 4 simulation simulation NOUN ajst-17680 104 5 of of ADP ajst-17680 104 6 doa doa PROPN ajst-17680 104 7 estimation estimation NOUN ajst-17680 104 8 algorithm algorithm NOUN ajst-17680 105 1 [ [ X ajst-17680 105 2 j j X ajst-17680 105 3 ] ] X ajst-17680 105 4 . . PUNCT ajst-17680 106 1 journal journal PROPN ajst-17680 106 2 of of ADP ajst-17680 106 3 naval naval ADJ ajst-17680 106 4 aeronautical aeronautical PROPN ajst-17680 106 5 engineering engineering PROPN ajst-17680 106 6 institute institute PROPN ajst-17680 106 7 , , PUNCT ajst-17680 106 8 2009 2009 NUM ajst-17680 106 9 , , PUNCT ajst-17680 106 10 24(2 24(2 NUM ajst-17680 106 11 ): ): PUNCT ajst-17680 106 12 191194 191194 NUM ajst-17680 106 13 . . PUNCT ajst-17680 107 1 [ [ X ajst-17680 107 2 7 7 X ajst-17680 107 3 ] ] X ajst-17680 107 4 chen chen PROPN ajst-17680 107 5 wenfeng wenfeng PROPN ajst-17680 107 6 , , PUNCT ajst-17680 107 7 wu wu PROPN ajst-17680 107 8 guiqing guiqing NOUN ajst-17680 107 9 . . PUNCT ajst-17680 108 1 coherent coherent ADJ ajst-17680 108 2 signal signal PROPN ajst-17680 108 3 doa doa PROPN ajst-17680 108 4 estimation estimation NOUN ajst-17680 108 5 based base VERB ajst-17680 108 6 on on ADP ajst-17680 108 7 spatial spatial ADJ ajst-17680 108 8 smoothing smooth VERB ajst-17680 108 9 music music NOUN ajst-17680 108 10 algorithm algorithm NOUN ajst-17680 109 1 [ [ X ajst-17680 109 2 j j X ajst-17680 109 3 ] ] X ajst-17680 109 4 . . PUNCT ajst-17680 110 1 computer computer NOUN ajst-17680 110 2 applications application NOUN ajst-17680 110 3 and and CCONJ ajst-17680 110 4 software software NOUN ajst-17680 110 5 , , PUNCT ajst-17680 110 6 2017 2017 NUM ajst-17680 110 7 , , PUNCT ajst-17680 110 8 34(11 34(11 NUM ajst-17680 110 9 ): ): PUNCT ajst-17680 110 10 232 232 NUM ajst-17680 110 11 - - SYM ajst-17680 110 12 235,283 235,283 NUM ajst-17680 110 13 . . PUNCT ajst-17680 111 1 [ [ X ajst-17680 111 2 8 8 NUM ajst-17680 111 3 ] ] X ajst-17680 111 4 zhao zhao PROPN ajst-17680 111 5 qian qian PROPN ajst-17680 111 6 , , PUNCT ajst-17680 111 7 dong dong PROPN ajst-17680 111 8 min min PROPN ajst-17680 111 9 , , PUNCT ajst-17680 111 10 liang liang PROPN ajst-17680 111 11 wenjuan wenjuan PROPN ajst-17680 111 12 . . PUNCT ajst-17680 112 1 research research NOUN ajst-17680 112 2 on on ADP ajst-17680 112 3 a a DET ajst-17680 112 4 modified modify VERB ajst-17680 112 5 music music NOUN ajst-17680 112 6 algorithm algorithm NOUN ajst-17680 112 7 for for ADP ajst-17680 112 8 doa doa PROPN ajst-17680 112 9 estimation estimation NOUN ajst-17680 112 10 algorithm algorithm NOUN ajst-17680 113 1 [ [ X ajst-17680 113 2 j j X ajst-17680 113 3 ] ] X ajst-17680 113 4 . . PUNCT ajst-17680 114 1 computer computer NOUN ajst-17680 114 2 engineering engineering NOUN ajst-17680 114 3 and and CCONJ ajst-17680 114 4 applications application NOUN ajst-17680 114 5 , , PUNCT ajst-17680 114 6 2012 2012 NUM ajst-17680 114 7 , , PUNCT ajst-17680 114 8 48(10 48(10 NUM ajst-17680 114 9 ): ): PUNCT ajst-17680 114 10 102105 102105 NUM ajst-17680 114 11 . . PUNCT ajst-17680 115 1 [ [ X ajst-17680 115 2 9 9 NUM ajst-17680 115 3 ] ] X ajst-17680 115 4 zhang zhang PROPN ajst-17680 115 5 xianda xianda PROPN ajst-17680 115 6 . . PUNCT ajst-17680 116 1 modern modern ADJ ajst-17680 116 2 signal signal NOUN ajst-17680 116 3 processing processing NOUN ajst-17680 116 4 ( ( PUNCT ajst-17680 116 5 3rd 3rd NOUN ajst-17680 116 6 edition edition NOUN ajst-17680 116 7 ) ) PUNCT ajst-17680 116 8 ( ( PUNCT ajst-17680 116 9 m m NOUN ajst-17680 116 10 ) ) PUNCT ajst-17680 116 11 . . PUNCT ajst-17680 117 1 beijing beijing PROPN ajst-17680 117 2 . . PUNCT ajst-17680 118 1 tsinghua tsinghua PROPN ajst-17680 118 2 university university PROPN ajst-17680 118 3 press press NOUN ajst-17680 118 4 . . PUNCT ajst-17680 119 1 2015 2015 NUM ajst-17680 119 2 : : PUNCT ajst-17680 119 3 426 426 NUM ajst-17680 119 4 - - SYM ajst-17680 119 5 431 431 NUM ajst-17680 119 6 . . PUNCT ajst-17680 120 1 [ [ X ajst-17680 120 2 10 10 NUM ajst-17680 120 3 ] ] X ajst-17680 120 4 zhang zhang PROPN ajst-17680 120 5 decai decai PROPN ajst-17680 120 6 . . PUNCT ajst-17680 121 1 simulation simulation NOUN ajst-17680 121 2 research research NOUN ajst-17680 121 3 on on ADP ajst-17680 121 4 orientation orientation NOUN ajst-17680 121 5 detection detection NOUN ajst-17680 121 6 based base VERB ajst-17680 121 7 on on ADP ajst-17680 121 8 music music NOUN ajst-17680 121 9 algorithm algorithm NOUN ajst-17680 122 1 [ [ X ajst-17680 122 2 j j X ajst-17680 122 3 ] ] X ajst-17680 122 4 . . PUNCT ajst-17680 123 1 china china PROPN ajst-17680 123 2 new new PROPN ajst-17680 123 3 communications communication NOUN ajst-17680 123 4 , , PUNCT ajst-17680 123 5 2019 2019 NUM ajst-17680 123 6 , , PUNCT ajst-17680 123 7 21(10):238 21(10):238 NUM ajst-17680 123 8 . . PUNCT