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Wavelet Theory and Its Applications

  • Book
  • © 1993

Overview

Authors:
  1. Randy K. Young

    1. Pennsylvania State University, USA

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Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 189)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Introduction/Background

    • Randy K. Young
    Pages 1-17

  3. The Wavelet Transform

    • Randy K. Young
    Pages 19-69

  4. Practical Resolution, Gain, and Processing Structures

    • Randy K. Young
    Pages 71-122

  5. Wavelet Theory Extensions and Ambiguity Functions

    • Randy K. Young
    Pages 123-140

  6. Linear Systems Modelling with Wavelet Theory

    • Randy K. Young
    Pages 141-187

  7. Wideband Scattering and Environmental Imaging

    • Randy K. Young
    Pages 189-210

  8. Back Matter

    Pages 211-223
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Keywords

About this book

The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.

Authors and Affiliations

  • Pennsylvania State University, USA

    Randy K. Young

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