Title
A New Robust Variable Step-Size NLMS Algorithm
Abstract
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.
Year
DOI
Venue
2008
10.1109/TSP.2007.913142
IEEE Transactions on Signal Processing
Keywords
Field
DocType
new robust variable step-size,certain cost function subject,robust adaptive filter,new framework,filter update,robust statistics approach,different environment,nlms algorithm,posteriori error,robust variable step-size nlms,proposed algorithm,cancelation application,probability density function,robust statistics,impulse noise,system testing,statistical analysis,noise,adaptive filters,adaptive filter,constraint optimization,cost function,steady state,indexing terms,convergence,statistics,robustness,adaptive filtering,predictive models
Mathematical optimization,Control theory,A priori and a posteriori,Algorithm,Robustness (computer science),Robust statistics,Adaptive filter,Robust control,System identification,Probability density function,Mathematics,Constrained optimization
Journal
Volume
Issue
ISSN
56
5
1053-587X
Citations 
PageRank 
References 
68
2.99
14
Authors
4
Name
Order
Citations
PageRank
L.R. Vega11086.02
H. Rey227418.90
Jacob Benesty31941146.01
S. Tressens426918.38