Adaptive Signal Models

Theory, Algorithms, and Audio Applications

  • Michael M. Goodwin

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Michael M. Goodwin
    Pages 1-28
  3. Michael M. Goodwin
    Pages 29-84
  4. Michael M. Goodwin
    Pages 85-114
  5. Michael M. Goodwin
    Pages 115-138
  6. Michael M. Goodwin
    Pages 139-166
  7. Michael M. Goodwin
    Pages 167-200
  8. Michael M. Goodwin
    Pages 201-207
  9. Back Matter
    Pages 209-248

About this book


Adaptive Signal Models: Theory, Algorithms and Audio Applications presents methods for deriving mathematical models of natural signals. The introduction covers the fundamentals of analysis-synthesis systems and signal representations. Some of the topics in the introduction include perfect and near-perfect reconstruction, the distinction between parametric and nonparametric methods, the role of compaction in signal modeling, basic and overcomplete signal expansions, and time-frequency resolution issues. These topics arise throughout the book as do a number of other topics such as filter banks and multiresolution.
The second chapter gives a detailed development of the sinusoidal model as a parametric extension of the short-time Fourier transform. This leads to multiresolution sinusoidal modeling techniques in Chapter Three, where wavelet-like approaches are merged with the sinusoidal model to yield improved models. In Chapter Four, the analysis-synthesis residual is considered; for realistic synthesis, the residual must be separately modeled after coherent components (such as sinusoids) are removed. The residual modeling approach is based on psychoacoustically motivated nonuniform filter banks. Chapter Five deals with pitch-synchronous versions of both the wavelet and the Fourier transform; these allow for compact models of pseudo-periodic signals. Chapter Six discusses recent algorithms for deriving signal representations based on time-frequency atoms; primarily, the matching pursuit algorithm is reviewed and extended.
The signal models discussed in the book are compact, adaptive, parametric, time-frequency representations that are useful for analysis, coding, modification, and synthesis of natural signals such as audio. The models are all interpreted as methods for decomposing a signal in terms of fundamental time-frequency atoms; these interpretations, as well as the adaptive and parametric natures of the models, serve to link the various methods dealt with in the text.
Adaptive Signal Models: Theory, Algorithms and Audio Applications serves as an excellent reference for researchers of signal processing and may be used as a text for advanced courses on the topic.


Audio Signal algorithm algorithms coding composing development filter filters model modeling psychoacoustics signal processing wavelet

Authors and affiliations

  • Michael M. Goodwin
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 1998
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-4650-0
  • Online ISBN 978-1-4419-8628-3
  • Series Print ISSN 0893-3405
  • About this book