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Practical Time-Frequency Analysis, Volume 9: Gabor and Wavelet Transforms, with an Implementation in S (Wavelet Analysis and Its Applications)
 
 
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Practical Time-Frequency Analysis, Volume 9: Gabor and Wavelet Transforms, with an Implementation in S (Wavelet Analysis and Its Applications) [Hardcover]

Rene Carmona (Author), Wen-Liang Hwang (Author), Bruno Torresani (Author)


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Book Description

0121601706 978-0121601706 August 31, 1998 1st
Time frequency analysis has been the object of intense research activity in the last decade. This book gives a self-contained account of methods recently introduced to analyze mathematical functions and signals simultaneously in terms of time and frequency variables. The book gives a detailed presentation of the applications of these transforms to signal processing, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection, and synthesis. To help the reader perform these analyses, Practical Time-Frequency Analysis provides a set of useful tools in the form of a library of S functions, downloadable from the authors' Web sites in the United States and France.

Key Features
* Detailed presentation of the Wavelet and Gabor transforms
* Applications to deterministic and random signal theory
* Spectral analysis of nonstationary signals and processes
* Numerous practical examples ranging from speech analysis to underwater acoustics, earthquake engineering, internet traffic, radar signal denoising, medical data interpretation, etc
* Accompanying software and data sets, freely downloadable from the book's Web page


Editorial Reviews

Review

"The authors have crafted a well-organized, up-to-date and highly readable presentation of some of the major components of time-frequency/time-scale analysis techniques of 1-D signals using Gabor and wavelet transform methods. The development of the basic concepts is implemented with a useful set of S-tools in the form of S-code, a library of S-functions and a companion Swave toolbox which they make available as freeware."
--MATHEMATICAL REVIEWS, Issue 2000a

From the Back Cover

Time-frequency analysis has been the object of intense research activity in the last decade. Wavelets have become known as a powerful took with which to manipulate signals of a complex nature, such as those with random, noisy, or nonstationary features Practical Time-Frequency Analysis is the ninth volume in the series Wavelet Analysis and Its Applications. The purpose of this book is to give a self-contained presentation of the techniques of time-frequency/time-scale analaysis and to provide a set of useful tools, in the form of computer programs, to perform the analysis. This unified approach should appeal to applied mathematicians, statisticians, and signal processing engineers alike.

Product Details

  • Hardcover: 490 pages
  • Publisher: Academic Press; 1st edition (August 31, 1998)
  • Language: English
  • ISBN-10: 0121601706
  • ISBN-13: 978-0121601706
  • Product Dimensions: 9.4 x 6.3 x 1.3 inches
  • Shipping Weight: 2.2 pounds
  • Amazon Best Sellers Rank: #3,388,406 in Books (See Top 100 in Books)

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Inside This Book (learn more)
First Sentence:
This first chapter is devoted to the presentation of a set of background concepts and results in the Fourier theory of deterministic signals. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
climber algorithm, continuous gabor transform, cwt input, bat sonar signal, chained ridges, climbers algorithm, spectral representation formula, dyadic cover, climbers method, simple reconstruction formula, dyadic wavelet transform, wavelets located, crazy climbers, smoothing spline approach, asymptotic signals, ridge samples, sample spectral density, wavelet transform extrema, raw periodogram, locally stationary processes, wavelet transform modulus, progressive wavelets, ridge estimation, subsampling rate, wavelet spectrum
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Time Figure, Wavelet Modulus, Ridge Skeletons, Wavelet Ridges, Compute Gabor
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