Title
Robust Shrinkage Affine-Projection Sign Adaptive-Filtering Algorithms for Impulsive Noise Environments
Abstract
Two robust affine projection sign (RAPS) algorithms, both of which minimize the mixed norm of $l_1$ and $l_2$ of the error signal, are proposed. The direction vector of the RAPS algorithms is obtained from the gradient of an $l_1$ norm-based objective function, while two related $l_2$ norm-based minimization problems are solved to obtain the line search of the two RAPS algorithms. The $l_1$ norm-based direction vector reduces the impact of impulsive noise, whereas the $l_2$ norm-based line search produces an unbiased solution in the proposed algorithms. In addition, one of the two RAPS algorithms shares the data selective adaptation used in the set-membership (SM) affine projection (SMAP) algorithm. The proposed algorithms are shown to offer a significant improvement in the convergence speed as well as a significant reduction in the steady-state misalignment relative to the pseudo affine projection sign (PAPS) algorithm. In addition, the proposed algorithms offer robust performance with respect to impulsive noise and improved tracking of the unknown system in comparison to that provided by the PAPS and Affine projection sign (APS) algorithms. These features of the proposed algorithms are demonstrated using simulation results in system-identification and echo-cancellation applications.
Year
DOI
Venue
2014
10.1109/TSP.2014.2324997
Signal Processing, IEEE Transactions  
Keywords
Field
DocType
adaptive filters,echo suppression,impulse noise,minimisation,PAPS algorithm,RAPS algorithms,SMAP algorithm,adaptive-filtering algorithms,data selective adaptation,echo -cancellation,impulsive noise environments,norm-based direction vector,norm-based minimization problems,norm-based objective function,pseudo affine projection sign algorithm,robust affine projection sign algorithms,set-membership affine projection algorithm,steady-state misalignment,system-identification,Adaptive filtering algorithms,affine-projection algorithms,set-membership adaptive filters
Convergence (routing),Mathematical optimization,Algorithm design,Control theory,Direction vector,Probabilistic analysis of algorithms,Robustness (computer science),Minification,Line search,Affine projection,Mathematics
Journal
Volume
Issue
ISSN
62
13
1053-587X
Citations 
PageRank 
References 
11
0.62
16
Authors
3
Name
Order
Citations
PageRank
Md. Zulfiquar Ali Bhotto1776.42
M. O. Ahmad21157154.87
M.N.S., Swamy333444.14