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Wavelet Analysis

The Scalable Structure of Information

  • Textbook
  • © 1998

Overview

  • Wavelet analysis plays a serious role in applications ranging from communications to geophysics, and from simulations to image processing
  • This book gives a clear introduction to the ideas and methods of wavelet analysis
  • It makes concepts understandable by relating them to previously known methods in mathematics and engineering
  • Shows how to apply wavelet analysis to digital signal processing
  • Presents a wide variety of applications of wavelets to problems in data compression and telecommunications

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Table of contents (14 chapters)

  1. The Scalable Structure of Information

  2. Wavelet Theory

  3. Wavelet Approximation and Algorithms

  4. Wavelet Applications

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About this book

The authors have been beguiled and entranced by mathematics all of their lives, and both believe it is the highest expression of pure thought and an essential component-one might say the quintessence-of nature. How else can one ex­ plain the remarkable effectiveness of mathematics in describing and predicting the physical world? The projection of the mathematical method onto the subspace of human endeav­ 1 ors has long been a source of societal progress and commercial technology. The invention of the electronic digital computer (not the mechanical digital computer of Babbage) has made the role of mathematics in civilization even more central by making mathematics active in the operation of products. The writing of this book was intertwined with the development of a start-up company, Aware, Inc. Aware was founded in 1987 by one of the authors (H.L.R.), and the second author (R.O.W.) put his shoulder to the wheel as a consultant soon after.

Authors and Affiliations

  • Future WAVE Inc., Boston, USA

    Howard L. Resnikoff

  • Department of Mathematics, Rice University, Houston, USA

    Raymond O. Wells

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