Proportionate Adaptive Filters From a Basis Pursuit Perspective

被引：39

作者：

Benesty, Jacob ^{[1
]}

Paleologu, Constantin ^{[2
]}

Ciochina, Silviu ^{[2
]}

机构：

[1] Univ Quebec, INRS EMT, Montreal, PQ H5A 1K6, Canada

[2] Univ Politehn Bucuresti, Bucharest, Romania

来源：

IEEE SIGNAL PROCESSING LETTERS | 2010年 / 17卷 / 12期

关键词：

Adaptive filters; APA; basis pursuit; echo cancellation; NLMS; PAPA; PNLMS;

D O I：

10.1109/LSP.2010.2082529

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this letter, we show that the normalized least-mean-square (NLMS) algorithm and the affine projection algorithm (APA) can be decomposed as the sum of two orthogonal vectors. One of these vectors is derived from an l(2)-norm optimization problem while the other one is simply a good initialization vector. By replacing this optimization with the basis pursuit, which is based on the l(2)-norm optimization, we derive the proportionate NLMS (PNLMS) algorithm and the proportionate APA (PAPA). Many other adaptive filters can be derived following this approach, including new ones.

引用

页码：985 / 988

页数：4

共 15 条

[1] AUSTIN CD, 2010, IEEE J SEL TOPICS PR, V1, P560
[2] Benesty J, 2002, INT CONF ACOUST SPEE, P1881
[3] Benesty Jacob, 2001, Advances in Network and Acoustic Echo Cancellation
[4] Atomic decomposition by basis pursuit
Chen, SSB
Donoho, DL
Saunders, MA
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1998, 20 (01) : 33 - 61
[5] Proportionate normalized least-mean-squares adaptation in echo cancelers
Duttweiler, DL
[J]. IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING, 2000, 8 (05): : 508 - 518
[6] Double-talk robust fast converging algorithms for network echo cancellation
Gänsler, T
Gay, SL
Sondhi, MM
Benesty, J
[J]. IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING, 2000, 8 (06): : 656 - 663
[7] Haykin SS., 2002, ADAPTIVE FILTER THEO, V4
[8] LMS estimation via structural detection
Homer, J
Mareels, I
Bitmead, RR
Wahlberg, B
Gustafsson, F
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (10) : 2651 - 2663
[9] Hoshuyama O, 2004, 2004 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL IV, PROCEEDINGS, P161
[10] Exponentially Weighted Stepsize NLMS Adaptive Filter Based on the Statistics of a Room Impulse Response
Makino, Shoji
Kaneda, Yutaka
Koizumi, Nobuo
[J]. IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING, 1993, 1 (01): : 101 - 108

← 1 2 →