A new robust variable step-size NLMS algorithm

被引：169

作者：

Vega, Leonardo Rey ^{[1
,2
]}

Rey, Hernan ^{[3
,4
]}

Benesty, Jacob ^{[5
]}

Tressens, Sara ^{[6
]}

机构：

[1] Univ Buenos Aires, Dept Elect, RA-1063 Buenos Aires, DF, Argentina

[2] Univ Buenos Aires, CONICET, RA-1063 Buenos Aires, DF, Argentina

[3] Inst Ingn Biomed FIUBA, RA-1063 Buenos Aires, DF, Argentina

[4] Consejo Nacl Invest Cient & Tecn, RA-1063 Buenos Aires, DF, Argentina

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

[6] Univ Buenos Aires, Dept Elect, RA-1063 Buenos Aires, DF, Argentina

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2008年 / 56卷 / 05期

关键词：

acoustic echo cancelation; adaptive filtering; impulsive noise; normalized least-mean-square (NLMS) algorithm; robust filtering;

D O I：

10.1109/TSP.2007.913142

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：

A new framework for designing robust adaptive filters is introduced. It is based on the optimization of a certain cost function subject to a time-dependent constraint on the norm of the filter update. Particularly, we present a robust variable step-size NLMS algorithm which optimizes the square of the a posteriori error. We also show the link between the proposed algorithm and another one derived using a robust statistics approach. In addition, a theoretical model for predicting the transient and steady-state behavior and a proof of almost sure filter convergence are provided. The algorithm is then tested in different environments for system identification and acoustic echo cancelation applications.

引用

页码：1878 / 1893

页数：16

共 25 条

[1] Transient analysis of adaptive filters with error nonlinearities [J].