Wavelets: An Analysis Tool

Wavelets: An Analysis Tool book cover

Wavelets: An Analysis Tool

Author(s): M. Holschneider (Author)

  • Publisher: Oxford University Press, U.S.A.
  • Publication Date: 29 July 1999
  • Edition: Illustrated
  • Language: English
  • Print length: 440 pages
  • ISBN-10: 0198505213
  • ISBN-13: 9780198505211

Book Description

Wavelets analysis-a new and rapidly growing field of research-has been applied to a wide range of endeavors, from signal data analysis (geoprospection, speech recognition, and singularity detection) to data compression (image and voice-signals) to pure mathematics. Written in an accessible, user-friendly style, Wavelets: An Analysis Tool offers a self-contained, example-packed introduction to the subject. Taking into account the continuous transform as well as its discretized version (the ortho-normal basis) the book begins by introducing the continuous wavelets transform in one dimension. It goes on to provide detailed discussions of wavelet analysis of regular functions, tempered distributions, square integrable functions, and the continuous wavelet transform. Throughout, the language of group theory is used to unify various approaches. Profusely illustrated and containing information not available elsewhere, this book is ideal for advanced students and researchers in mathematics, physics, and signal processing engineering.

Editorial Reviews

Review


“The book could serve well as a text, reference or tutorial on wavelets. It has a strong theoretical component and contains the foundations for the most current applications of wavelet theory.” —
Physics Today


“A nicely written, fairly self-contained introduction. . .Statisticians might be interested in the very well written introduction (over 100 pages) and the parts of the book that concentrate on the wavelet as a time-frequency analysis tool.”–
Journal of the American Statistical Association


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