Practical Time-Frequency Analysis: Gabor and Wavelet Transforms with an Implementation in S

René Carmona, Wen-Liang Hwang and Bruno Torrésani (Eds.)9780121601706, 0121601706

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

---

Table of contents :
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