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Preface

Acknowledgements

Table of Contents

List of Abbreviations

List of Symbols

Chapter 1 = Introduction to=20 Adaptive Filters
1.1 Adaptive Filtering
1.2 Adaptive = Transversal=20 Filters
1.3 Performance Surfaces
1.4 Adaptive Algorithms
1.5 = Spectral=20 Dynamic Range and Misadjustment
1.6 Applications of Adaptive=20 Filters
1.6.1 Adaptive system identification
1.6.1.1 = Acoustic=20 echo cancellation
1.6.1.2 Active noise = control
1.6.1.3=20 Adaptive noise cancellation
1.6.1.4 Acoustic feedback = cancellation=20 in hearing aids
1.6.2 Adaptive prediction
1.6.3 = Adaptive=20 inverse modeling
1.6.4 Adaptive array = processing
1.6.5=20 Summary of adaptive filtering applications
1.7 Transform-Domain = and=20 Subband Adaptive Filters
1.7.1 Transform-domain adaptive=20 filters
1.7.1.1 Frequency-domain adaptive=20 filters
1.7.1.2 Self-orthogonalizing adaptive=20 filters
1.7.2 Subband adaptive filters
1.8=20 Summary
References
Chapter 2 Subband Decomposition and = Multirate=20 Systems
2.1 Multirate Systems
2.2 Filter = Banks
2.2.1=20 Input-output relation
2.2.2 Perfect reconstruction filter=20 banks
2.3.3 Polyphase representation
2.3 Paraunitary = Filter=20 Banks
2.4 Block Transforms
2.4.1 Filter banks as block=20 transform
2.5 Cosine-Modulated Filter Banks
2.5.1 Design=20 example
2.6 DFT Filter Banks
2.6.1 Design = example
2.7 A=20 Note on Cosine Modulation
2.8 = Summary
References
Chapter 3=20 Second-Order Characterization of Multirate Filter Banks
3.1=20 Correlation-Domain Formulation
3.1.1 Critical = decimation
3.2=20 Cross Spectrum
3.2.1 Subband spectrum
3.3 Orthogonality = at Zero=20 Lag
3.3.1 Paraunitary condition
3.4 Case Study: Subband=20 Orthogonality of Cosine-Modulated Filter Banks
3.4.1 = Correlation-domain=20 analysis
3.4.2 MATLAB simulations
3.5=20 Summary
References
Chapter 4 Subband Adaptive=20 Filters
4.1 Subband Adaptive Filtering
4.1.1 = Computational=20 reduction
4.1.2 Spectral dynamic range
4.2 Subband = Adaptive=20 Filter Structures
4.2.1 Open-loop structure
4.2.2 = Closed-loop=20 structure
4.3 Aliasing, Band-Edge Effects and = Solutions
4.3.1=20 Aliasing and band-edge effects
4.3.2 Adaptive=20 cross-filters
4.3.3 Multiband-structured = SAF
4.3.4=20 Closed-loop delayless structures
4.4 Delayless Subband Adaptive=20 Filters
4.4.1 Closed-loop configuration
4.4.2 = Open-loop=20 configuration
4.4.3 Weight = transformation
4.4.3.1=20 Frequency sampling method
4.4.3.2 DFT filter bank with = fractional=20 delays
4.4.4 Computational requirements
4.5 MATLAB=20 Examples
4.5.1 Aliasing and band-edge effects
4.5.2 = Delayless=20 alias-free SAFs
4.6 Summary
References
Chapter 5=20 Critically-Sampled and Oversampled Subband Structures
5.1 = Variants=20 of Critically-Sampled Subband Adaptive Filters
5.1.1 SAF with = affine=20 projection algorithm
5.1.2 SAF with variable step=20 sizes
5.1.3 SAF with selective coefficient = update
5.2=20 Oversampled and Nonuniform Subband Adaptive Filters
5.2.1 = Oversampled=20 subband adaptive filtering
5.2.2 Nonuniform subband adaptive = filtering
5.3 Filter Bank Design
5.3.1 Generalized DFT = filter=20 banks
5.3.2 Single-sideband modulation filter=20 banks
5.3.3 Filter design criteria for DFT filter=20 banks
5.3.4 Quadrature mirror filter banks
5.3.5 = Pseudo=20 quadrature mirror filter banks
5.3.6 Conjugate quadrature = filter=20 banks
5.4 Case Study: Proportionate Subband Adaptive=20 Filtering
5.4.1 Multiband structure with proportionate=20 adaptation
5.4.2 MATLAB simulations
5.5=20 Summary
References
Chapter 6 Multiband-Structured Subband = Adaptive=20 Filters
6.1 Multiband Structure
6.1.1 Polyphase=20 implementation
6.2 Multiband Adaptation
6.2.1 Principle = of=20 minimal disturbance
6.2.2 Constrained subband=20 updates
6.2.3 Computational complexity
6.3 = Underdetermined=20 Least-Squares Solutions
6.3.1 NLMS equivalent
6.3.2=20 Projection interpretation
6.4 Stochastic = Interpretations
6.4.1=20 Stochastic approximation to Newton=92s method
6.4.2 Weighted = MSE=20 criterion
6.4.3 Decorrelating properties
6.5 Filter = Bank=20 Design Issues
6.5.1 The diagonal assumption
6.5.2 = Power=20 complementary filter bank
6.5.3 The number of = subbands
6.6=20 Delayless MSAF
6.6.1 Open-loop configuration
6.6.2=20 Closed-loop configuration
6.7 MATLAB Examples
6.7.1 = Convergence=20 of the MSAF algorithm
6.7.2 Subband and time-domain=20 constraints
6.8 Summary
References
Chapter 7 = Stability and=20 Performance Analysis
7.1 Algorithm, Data Model, and=20 Assumptions
7.1.1 The MSAF algorithm
7.1.2 Linear = data=20 model
7.1.3 Paraunitary filter banks
7.1.3.1=20 Paraunitary, lossless, and power complementary
7.1.3.2 = Uncorrelated=20 noise vectors
7.2 Multiband MSE Function
7.2.1 MSE=20 functions
7.2.2 Excess MSE
7.3 Mean = Analysis
7.3.1=20 Projection interpretation
7.3.2 Mean behavior
7.4=20 Mean-Square Analysis
7.4.1 Energy conservation = relation
7.4.2=20 Variance relation
7.4.3 Stability of the MSAF=20 algorithm
7.4.4 Steady-state excess MSE
7.5 MATLAB=20 Examples
7.5.1 Mean of the projection matrix
7.5.2 = Stability=20 bounds
7.5.3 Steady-state excess MSE
7.6=20 Summary
References
Chapter 8 New Research=20 Directions
8.1 Recent Research on Filter Bank Design
8.2 = New SAF=20 Structures and Algorithms
8.2.1 In-band aliasing=20 cancellation
8.2.2 Adaptive algorithms for = SAF
8.2.3=20 Variable tap-lengths for SAF
8.3 Theoretical Analysis
8.4=20 Applications of SAF
8.5 Further Research on Multiband-Structured = SAF
8.6=20 Concluding Remarks
References

Appendix A Programming in MATLAB

Appendix B Using MATLAB for Subband Adaptive = Filtering

Appendix C Summary of MATLAB Scripts, Functions, Examples, = and=20 Demos

Appendix D Complexity Analysis of Adaptive=20 Algorithms