1. Signal Models and Analysis-Synthesis. - 1. 1 Analysis-Synthesis Systems. - 1. 2 Compact Representations. - 1. 3 Parametric Methods. - 1. 4 Nonparametric Methods. - 1. 5 Time-Frequency Decompositions. - 1. 6 Overview. - 2. Sinusoidal Modeling. - 2. 1 The Sinusoidal Signal Model. - 2. 2 The Short-Time Fourier Transform. - 2. 3 Sinusoidal Analysis. - 2. 4 Time-Domain Synthesis. - 2. 5 Frequency-Domain Synthesis. - 2. 6 Reconstruction Artifacts. - 2. 7 Signal Modification. - 2. 8 Conclusion. - 3. Multiresolution Sinusoidal Modeling. - 3. 1 Atomic Interpretation of the Sinusoidal Model. - 3. 2 Multiresolution Signal Decompositions. - 3. 3 Filter Bank Methods. - 3. 4 Adaptive Segmentation. - 3. 5 Conclusion. - 4. Residual Modeling. - 4. 1 Mixed Models. - 4. 2 Model of Noise Perception. - 4. 3 Residual Analysis-Synthesis. - 4. 4 Conclusion. - 5. Pitch-Synchronous Models. - 5. 1 Pitch Estimation. - 5. 2 Pitch-Synchronous Signal Representation. - 5. 3 Pitch-Synchronous Sinusoidal Models. - 5. 4 Pitch-Synchronous Wavelet Transforms. - 5. 5 Applications. - 5. 6 Conclusion. - 6. Matching Pursuit and Atomic Models. - 6. 1 Atomic Decompositions. - 6. 2 Matching Pursuit. - 6. 3 Time-Frequency Dictionaries. - 6. 4 Computation Using Recursive Filter Banks. - 6. 5 Conclusion. - 7. Conclusions. - 7. 1 Signal-Adaptive Parametric Representations. - 7. 2 Research Directions. - Appendix A - Two-Channel Filter Banks. - Appendix B - Fourier Series Representations. - References. - References for Poetry Excerpts. Language: English