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
收藏
页码：985 / 988
页数：4
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