Front Cover; Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets; Copyright Page; Table of Contents; Preface; Chapter 1. Introduction; 1.1 Introduction; 1.2 Why Signal Decomposition?; 1.3 Decompositions: Transforms, Subbands, and Wavelets; 1.4 Performance Evaluation; Chapter 2. Orthogonal Transforms; 2.1 Signal Expansions in Orthogonal Functions; 2.2 Transform Efficiency and Coding Performance; 2.3 Fixed Transforms; 2.4 Parametric Modeling of Signal Sources; 2.5 Lapped Orthogonal Transforms; 2.6 2D Transform Implementation; 2.7 Summary.

Chapter 3. Theory of Subband Decomposition3.1 Multirate Signal Processing; 3.2 Bandpass and Modulated Signals; 3.3 Mth Band, Mirror, and Power Complementary Filters; 3.4 Two-Channel Filter Banks; 3.5 M-Band Filter Banks; 3.6 Cascaded Lattice Structures; 3.7 IIR Subband Filter Banks; 3.8 Two-Dimensional Subband Decomposition; 3.9 Quantization Effects in Filter Banks; 3.10 Summary; Chapter 4. Filterbank Families: Design and Performance; 4.1 Binomial QMF-Wavelet Filters; 4.2 Maximally Flat Filters; 4.3 Bernstein QMF-Wavelet Filters; 4.4 Johnston QMF Family; 4.5 Smith-Barnwell PR-CQF Family.

4.6 LeGall-Tabatabai PR Filter Bank4.7 Princen-Bradley QMF; 4.8 Optimal PR-QMF Design for Subband Image Coding; 4.9 Performance of PR-QMF Families; 4.10 Aliasing Energy in Multiresolution Decomposition; 4.11 Time and Frequency Localizations; 4.12 GTC and NER Performance; 4.13 Summary; Chapter 5. Wavelet Transform; 5.1 Time-Frequency Decompositions; 5.2 The Short-Time Fourier Transform; 5.3 The Wavelet Transform; 5.4 Multiresolution Signal Decomposition; 5.5 Wavelet Regularity and Wavelet Families; 5.6 Biorthogonal Wavelets and Filter Banks; 5.7 Discussions and Conclusion; 5.8 Epilogue.

Appendix A: Resolution of the Identity and InversionAppendix B: Orthonormality in Frequency; Appendix C: Problems; Index.