Sparse Adaptive Filters for Echo Cancellation

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Morgan & Claypool Publishers, Sep 15, 2009 - Computers - 114 pages
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Adaptive filters with a large number of coefficients are usually involved in both network and acoustic echo cancellation. Consequently, it is important to improve the convergence rate and tracking of the conventional algorithms used for these applications. This can be achieved by exploiting the sparseness character of the echo paths. Identification of sparse impulse responses was addressed mainly in the last decade with the development of the so-called proportionate''-type algorithms. The goal of this book is to present the most important sparse adaptive filters developed for echo cancellation. Besides a comprehensive review of the basic proportionate-type algorithms, we also present some of the latest developments in the field and propose some new solutions for further performance improvement, e.g., variable step-size versions and novel proportionate-type affine projection algorithms. An experimental study is also provided in order to compare many sparse adaptive filters in different echo cancellation scenarios. Table of Contents: Introduction / Sparseness Measures / Performance Measures / Wiener and Basic Adaptive Filters / Basic Proportionate-Type NLMS Adaptive Filters / The Exponentiated Gradient Algorithms / The Mu-Law PNLMS and Other PNLMS-Type Algorithms / Variable Step-Size PNLMS Algorithms / Proportionate Affine Projection Algorithms / Experimental Study
 

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Contents

Introduction
1
Sparseness Measures
7
Performance Measures
15
Wiener and Basic Adaptive Filters
19
Basic ProportionateType NLMS Adaptive Filters
37
The Exponentiated Gradient Algorithms
47
The MuLaw PNLMS and Other PNLMSType Algorithms
55
Variable StepSize PNLMS Algorithms
65
Proportionate Affine Projection Algorithms
73
Experimental Study
87
Bibliography
103
Index
111
Authors Biographies
113
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About the author (2009)

Constantin Paleologu, University Politehnica of Bucharest, Romania
Jacob Benesty, INRS-EMT, University of Quebec, Montreal, Canada
Silviu Ciochina, University Politehnica of Bucharest, Romania

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