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   -> Volume 7, Issue 4


Book: Applications of Wavelets: Case Studies
 
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leblanc@siam.org
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PostPosted: Wed Mar 25, 1998 6:40 pm    
Subject: Book: Applications of Wavelets: Case Studies
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#1 Book: Applications of Wavelets: Case Studies

Applications of Wavelets
Case Studies
Edited by Mei Kobayashi

Available September 1998
Approx. 175 pages / Softcover / ISBN 0-89871-416-8
List Price $32.00 / SIAM Member Price $25.60 / Order Code OT62

This collection of independent case studies demonstrates how
wavelet techniques have been used to solve open problems and
develop insight into the nature of the systems under study. Each
case begins with a description of the problem and points to the
specific properties of wavelets and techniques used for
determining a solution.

The cases vary from a very simple wavelet-based technique to
reduce noise in data to work conducted at the Earthquake Research
Institute in Japan. One case study shows how wavelet analysis is
used in the development of a Japanese text-to-speech system for
personal computers and another presents new wavelet techniques
developed for and applied to the study of atmospheric wind,
turbulent fluid, and seismic acceleration data.

Although calculus and some junior and senior mathematics courses
for scientists and engineers will suffice, a solid background in
undergraduate mathematics, particularly analysis and numerical
analysis, and some familiarity with the basics of wavelets are
helpful for reading this book.

Contents (partial) Preface; Chapter 1: Multiresolution Display of
Coastline Data, Sumiko Hiyama and Mei Kobayashi; Introduction;
Properties of Scaling Functions and Wavelets; Approximation of
Curves Using Mallat's Algorithm; Conclusion; Chapter 2: A
Technique for Reducing Noise in Laboratory Data, Susumu
Sakakibara; Introduction; Wavelets and a Data Smoothing Method;
Two Examples; Conclusion; Chapter 3: A Conjugate Gradient Method
for Solving Poisson Equations, Nobuatsu Tanaka; Introduction; The
Incomplete Discrete Wavelet Transform; Numerical Examples;
Conclusion; Chapter 4: Wavelet Analysis for a Text-to-Speech
System, Mei Kobayashi, Masaharu Sakamoto, Takashi Saito, Yasuhide
Hashimoto, Masafumi Nishimura, Kazuhiro Suzuki; Introduction;
Wavelets and Speech Signal Processing; Text-to-speech Conversion;
Conclusion; Chapter 5: Analysis of Atmospheric Wind, Turbulent
Fluid, and Seismic Acceleration Data, Michio Yamada and Fumio
Sasaki; Introduction; Extraction of Events from Time-Series;
Spatial Distribution of Fourier Components; Correction of Seismic
Data; References.

About the Author Mei Kobayashi is a researcher at IBM Tokyo
Research Laboratory and a visiting associate professor in the
Department of Mathematical Sciences at the University of
Tokyo. She is a frequent contributor to SIAM News.
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