Multiresolution Signal Decomposition

Transforms, Subbands, and Wavelets


  • Ali Akansu, New Jersey Institute of Technology, Newark, NJ, USA
  • Paul Haddad, Polytechnic University, Brooklyn, New York, U.S.A.

The uniqueness of this book is that it covers such important aspects of modern signal processing as block transforms from subband filter banks and wavelet transforms from a common unifying standpoint, thus demonstrating the commonality among these decomposition techniques. In addition, it covers such @qu:"hot" areas as signal compression and coding, including particular decomposition techniques and tables listing coefficients of subband and wavelet filters and other important properties.The field of this book (Electrical Engineering/Computer Science) is currently booming, which is, of course, evident from the sales of the previous edition. Since the first edition came out there has been much development, especially as far as the applications. Thus, the second edition addresses new developments in applications-related chapters, especially in chapter 4 "Filterbrook Families: Design and Performance," which is greatly expanded.
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This book is intended for graduate students and R&D practitioners engagedin signal processing applications in voice and image processing, multimedia,and telecommunications. It assumes a background in linear systems andFourier analysis, some linear algebra, random signals, and an introductorycourse in digital signal processing.


Book information

  • Published: October 2000
  • ISBN: 978-0-12-047141-6

Table of Contents

1. Introduction2. Orthogonal Transforms3. Theory of Subband Decomposition4. Filter Bank Families: Design and Performance5. Time-Frequency Representations6. Wavelet Transform7. ApplicationsA. Resolution of the Identity and InversionB. Orthonormality in FrequencyC. Problems