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
Author(s): René Carmona, Wen-Liang Hwang and Bruno Torrésani (Eds.)
Series: Wavelet Analysis and Its Applications 9
Publisher: AP
Year: 1998
Language: English
Pages: 1-490
Content:
Preface
Page 5
Ingrid Daubechies
Reader's guide
Pages 7-10
List of figures
Pages 17-23
Chapter 1 Time, frequency, and time-frequency Original Research Article
Pages 27-65
Chapter 2 Spectral theory of stationary random processes: A primer Original Research Article
Pages 67-98
Chapter 3 The continuous Gabor transform Original Research Article
Pages 101-128
Chapter 4 The continuous wavelet transform Original Research Article
Pages 129-161
Chapter 5 Discrete time-frequency transforms and algorithms Original Research Article
Pages 163-218
Chapter 6 Time-frequency analysis of stochastic processes Original Research Article
Pages 221-270
Chapter 7 Analysis of frequency modulated signals Original Research Article
Pages 271-308
Chapter 8 Statistical reconstructions Original Research Article
Pages 309-353
Chapter 9 Downloading and installing the Swave package Original Research Article
Pages 357-359
Chapter 10 The Swave S functions Original Research Article
Pages 361-408
Chapter 11 The Swave S utilities Original Research Article
Pages 409-438
General references
Pages 441-464
Wavelet books
Pages 465-468
Splus books
Page 469
Notation index
Pages 473-475
Author index
Pages 477-479
S functions and utilities
Pages 481-482
Subject index
Pages 483-490
