Preface.

Acknowledgments.

List of symbols.

List of abbreviations.

1 Introduction to adaptive filters.

1.1 Adaptive filtering.

1.2 Adaptive transversal filters.

1.3 Performance surfaces.

1.4 Adaptive algorithms.

1.5 Spectral dynamic range and misadjustment.

1.6 Applications of adaptive filters.

1.7 Transform-domain and subband adaptive filters.

1.8 Summary.

References.

2 Subband decomposition and multirate systems.

2.1 Multirate systems.

2.2 Filter banks.

2.3 Paraunitary filter banks.

2.4 Block transforms

2.5 Cosine-modulated filter banks.

2.6 DFT filter banks.

2.7 A note on cosine modulation.

2.8 Summary.

References 69.

3 Second-order characterization of multirate filter banks.

3.1 Correlation-domain formulation.

3.2 Cross spectrum.

3.3 Orthogonality at zero lag.

3.4 Case study: Subband orthogonality of cosine-modulated filter banks.

3.5 Summary.

References.

4 Subband adaptive filters.

4.1 Subband adaptive filtering.

4.2 Subband adaptive filter structures.

4.3 Aliasing, band-edge effects and solutions.

4.4 Delayless subband adaptive filters.

4.5 MATLAB examples.

4.6 Summary.

References.

5 Critically sampled and oversampled subband structures.

5.1 Variants of critically sampled subband adaptive filters.

5.2 Oversampled and nonuniform subband adaptive filters.

5.3 Filter bank design.

5.4 Case study: Proportionate subband adaptive filtering.

5.5 Summary.

References.

6 Multiband-structured subband adaptive filters.

6.1 Multiband structure.

6.2 Multiband adaptation.

6.3 Underdetermined least-squares solutions.

6.4 Stochastic interpretations.

6.5 Filter bank design issues.

6.6 Delayless MSAF.

6.7 MATLAB examples.

6.8 Summary.

References.

7 Stability and performance analysis.

7.1 Algorithm, data model and assumptions.

7.2 Multiband MSE function.

7.3 Mean analysis.

7.4 Mean-square analysis.

7.5 MATLAB examples.

7.6 Summary.

References.

8 New research directions.

8.1 Recent research on filter bank design.

8.2 New SAF structures and algorithms.

8.3 Theoretical analysis.

8.4 Applications of the SAF.

8.5 Further research on a multiband-structured SAF.

8.6 Concluding remarks.

References.

Appendix A Programming in MATLAB.

A.1 MATLAB fundamentals.

A.2 Signal processing toolbox.

A.3 Filter design toolbox.

Appendix B Using MATLAB for adaptive filtering and subband adaptive filtering.

B.1 Digital signal processing.

B.2 Filtering and adaptive filtering in MATLAB.

B.3 Multirate and subband adaptive filtering.

Appendix C Summary of MATLAB scripts, functions, examples and demos.

Appendix D Complexity analysis of adaptive algorithms.

Index.