Elsevier S & T

Time-Frequency/Time-Scale Analysis

Flandrin, Patrick

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Table of contents
  • Contentsv
  • Prefacexi
  • Foreword1
  • Chapter 1. The Time-Frequency Problem9
  • 1.1. The Time-Frequency Duality and Its Bars10
  • 1.2. Leaving Fourier?26
  • 1.3. Towards Time-Frequency: Several Approaches42
  • Chapter 1 Notes46
  • Chapter 2. Classes of Solutions49
  • 2.1. An Introduction with Historical Landmarks50
  • 2.2. Atomic Decompositions66
  • 2.3. The Energy Distributions103
  • 2.4. The Power Distributions150
  • Chapter 2 Notes174
  • Chapter 3. Issues of Interpretation183
  • 3.1. About the Bilinear Classes185
  • 3.2. The Wigner-Ville Distribution and Its Geometry213
  • 3.3. About the Positivity289
  • Chapter 3 Notes301
  • Chapter 4. Time-Frequency as a Paradigm309
  • 4.1 Localization311
  • 4.2 Signal Analysis327
  • 4.3. Decision Statistics342
  • Chapter 4 Notes354
  • Bibliography359
  • Index381
Book details
  • Vendor Elsevier S & T
  • SKU 9780122598708
  • ISBN-13 9780080543031
  • Author Flandrin, Patrick
  • Category Technology & Engineering
  • Subject Telecommunications

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Description eBook delivery & access Reviews
This highly acclaimed work has so far been available only in French. It is a detailed survey of a variety of techniques for time-frequency/time-scale analysis (the essence of "Wavelet Analysis"). This book has broad and comprehensive coverage of a topic of keen interest to a variety of engineers, especially those concerned with signal and image processing. Flandrin provides a discussion of numerous issues and problems that arise from a mixed description in time and frequency, as well as problems in interpretation inherent in signal theory.

Key Features
* Detailed coverage of both linear and quadratic solutions
* Various techniques for both random and deterministic signals