Subband Adaptive Filtering : Theory and Implementation

by Kong-Aik Lee (Institute For Infocomm Research); Woon-Seng Gan (Nanyang Technological University ); Sen M. Kuo (Northern Illinois University, USA)

• ISBN13: 9780470745984
• ISBN10: 0470745983
• Format: eBook
• Copyright: 2009-07-01
• Publisher: Wiley

Summary

Subband adaptive filtering is rapidly becoming one of the most effective techniques for reducing computational complexity and improving the convergence rate of algorithms in adaptive signal processing applications. This book provides an introductory, yet extensive guide on the theory of various subband adaptive filtering techniques. For beginners, the authors discuss the basic principles that underlie the design and implementation of subband adaptive filters. For advanced readers, a comprehensive coverage of recent developments, such as multiband tap–weight adaptation, delayless architectures, and filter–bank design methods for reducing band–edge effects are included. Several analysis techniques and complexity evaluation are also introduced in this book to provide better understanding of subband adaptive filtering. This book bridges the gaps between the mixed–domain natures of subband adaptive filtering techniques and provides enough depth to the material augmented by many MATLAB® functions and examples.

Key Features:

• Acts as a timely introduction for researchers, graduate students and engineers who want to design and deploy subband adaptive filters in their research and applications.

• Bridges the gaps between two distinct domains: adaptive filter theory and multirate signal processing.

• Uses a practical approach through MATLAB®-based source programs on the accompanying CD.

• Includes more than 100 M-files, allowing readers to modify the code for different algorithms and applications and to gain more insight into the theory and concepts of subband adaptive filters.

Subband Adaptive Filtering is aimed primarily at practicing engineers, as well as senior undergraduate and graduate students. It will also be of interest to researchers, technical managers, and computer scientists.

Table of Contents

About the Authors

Preface

Acknowledgments

List of Symbols

List of Abbreviations

Introduction to Adaptive Filters

Adaptive Filtering

Adaptive Transversal Filters

Performance Surfaces

Adaptive Algorithms

Spectral Dynamic Range and Misadjustment

Applications of Adaptive Filters

Transform-Domain and Subband Adaptive Filters

Summary

References

Subband Decomposition and Multirate Systems

Multirate Systems

Filter Banks

Paraunitary Filter Banks

Block Transforms

Cosine-Modulated Filter Banks

DFT Filter Banks

A Note on Cosine Modulation

Summary

References

Second-Order Characterization of Multirate Filter Banks

Correlation-Domain Formulation

Cross Spectrum

Orthogonality at Zero Lag

Case Study: Subband Orthogonality of Cosine-Modulated Filter Banks

Summary

References

Subband Adaptive Filters

Subband Adaptive Filtering

Subband Adaptive Filter Structures

Aliasing, Band-Edge Effects and Solutions

Delayless Subband Adaptive Filters

MATLAB Examples

Summary

References

Critically Sampled and Oversampled Subband Systems

Variants of Critically Sampled Subband Adaptive Filters

Oversampled and Nonuniform Subband Adaptive Filters

Filter Bank Design

Case Study: Proportionate Subband Adaptive Filtering

Summary

References

Multiband-Structured Subband Adaptive Filters

Multiband Structure

Multiband Adaptation

Underdetermined Least-Squares Solutions

Stochastic Interpretations

Filter Bank Design Issues

Delayless MSAF

MATLAB Examples

References

Stability and Performance Analysis

Algorithm, Data Model and Assumptions

Multiband MSE Function

Mean Analysis

Mean-Square Analysis

MATLAB Examples

Summary

References

New Research Directions

Recent Research on Filter Bank Design

New SAF Structures and Algorithms

Theoretical Analysis

Applications of the SAF

Further Research on Multiband-Structured SAF

Concluding Remarks

References

Programming in MATLAB

MATLAB Fundamentals

Starting MATLAB

Constructing and Manipulating Matrices

The Colon Operator

Data Types

Working with Strings

Cell Arrays and Structures

MATLAB Scripting with M-Files

Plotting in MATLAB

Other Useful Commands and Tips

Signal Processing Toolbox

Quick Fact about the Signal Processing Toolbox

Signal Processing Tool

Window Design and Analysis Tool

Filter Design Toolbox

Quick Fact about the Filter Design Toolbox

Filter Design and Analysis Tool

MATLAB Functions for Adaptive Filtering

A Case Study: Adaptive Noise Cancellation

Using MATLAB for Adaptive Filtering and Subband Adaptive Filtering

Digital Signal Processing

Discrete-Time Signals and Systems

Signal Representation in MATLAB

Filtering and Adaptive Filtering in MATLAB

FIR Filtering

The LMS Adaptive Algorithm

Anatomy of the LMS Code in MATLAB

Multiratae and Subband Adaptive Filtering

Implementation of Multirate Filter Banks

Implementation of a Subband Adaptive Filter

Summary of MATLAB Scripts, Functions, Examples and Demos

Complexity Analysis of Adaptive Algorithms

Index

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