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Wavelet Transforms and Their Applications: (English)

Wavelet Transforms and Their Applications: (English)

          
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About the Book

Wavelets allow complex information such as music, speech, images and patterns to be decomposed into elementary forms - called the fundamental building blocks at different positions and scales - and subsequently reconstructed with high precision. With an increased demand for mathematical tools to provide both theory and applications for science and engineering, the utility and interest of wavelet analysis intense and pervasive in all disciplines. Wavelet Transforms and Their Applications presents both a systematic exposition of the basic ideas and results of wavelet transforms and their applications in time-frequency signal analysis and turbulence. Throughout the book the major emphasis is on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. The book provides a large number of examples, which are either directly associated with applications or formulated in terms of the mathematical, physical and engineering context in which the theory arises. While other textbooks aim to a mathematically matured audience, this book is an introduction to wavelet transforms and accessible to a larger audience with diverse background and interests in mathematics, science and engineering.

Table of Contents:
Preface Brief Historical Introduction Hilbert Spaces and Orthonormal Systems Fourier Transforms and Their Applications The Gabor Transform and Time-Frequency Signal Analysis The Wigner-Ville Distribution and Time-Frequency Signal Analysis Wavelet Transforms and Basic Properties Multiresolution Analysis and Construction of Wavelets Newland's Harmonic Wavelets Wavelet Transform Analysis of Turbulence Answers and Hints for Selected Exercises Bibliography Index


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Product Details
  • ISBN-13: 9780817642044
  • Publisher: Birkhauser Boston Inc
  • Publisher Imprint: Birkhauser Boston Inc
  • Edition: 2002
  • Language: English
  • Returnable: N
  • Spine Width: 31 mm
  • Width: 156 mm
  • ISBN-10: 0817642048
  • Publisher Date: 16 Nov 2001
  • Binding: Hardback
  • Height: 234 mm
  • No of Pages: 565
  • Series Title: English
  • Weight: 995 gr


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Wavelet Transforms and Their Applications: (English)
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