Time-frequency analysis brings together some rather diverse concepts and tools with the aim of reconciling the temporal analysis and spectral analysis of signals in a single joint representation. This is an appropriate framework for the analysis and processing of various types of non-stationary signals, such as those of physiological origin, radar and sonar signals, acoustic signals, astrophysical data, etc. The book provides an integrated discussion of the principles and methods that make this domain an everyday reality in industry and research.
Covering a period of about 25 years, during which this topic has undergone significant developments, this book is principally addressed to researchers and engineers interested in non-stationary signal analysis and processing. The book is written by recognized experts in the field. The first part presents fundamental ideas and tools, while the second part deals with more recent developments and applications.
Part 1. Fundamental Concepts and Tools
1. Time-frequency Energy Distributions: An Introduction, Patrick Flandrin.
2. Instantaneous Frequency of a Signal, Bernard Picinbono.
3. Linear Time-frequency Analysis I: Fourier-type Representations, Rémi Gribonval.
4. Linear Time-frequency Analysis II: Wavelet-type Representations, Thierry Blu and Jérôme Lebrun.
5. Quadratic Time-frequency Analysis I: The Cohen's Class, François Auger andEric Chassande-Mottin.
6. Quadratic Time-frequency Analysis II: Discretization of the Cohen's Class, Stéphane Grassin.
7. Quadratic Time-frequency Analysis III: The Affine Class and Other Covariant Classes, Jean-Philippe Ovarlez, Paulo Gonçalvès and Richard Baraniuk.
Part 2: Advanced Concepts and Methods
8. Higher Order Time-frequency Representations, Pierre-Olivier Amblard.
9. Reassignment, Eric Chassande-Mottin, François Auger and Patrick Flandrin.
10. Time-frequency Methods and Non-stationary Statistical Signal Processing, Franz Hlawatsch and Gerald Matz.
11. Non-stationary Parametric Modeling, Corinne Mailhes and Francis Castanié.
12. Time-frequency Representations in Biomedical Signal Processing, Lotfi Senhadji and Mohammad Bagher Shamsollahi.
13. Application of Time-frequency Techniques to Sound Signals: Recognition and Diagnostics, Manuel Davy.
Franz Hlawatsch is an Associate Professor at the Vienna University of Technology, Austria. His research interests are in the areas of time-frequency signal processing, non-stationary statistical signal processing and wireless communications. Franz Hlawatsch is the author of three books and co-author of more than 150 research papers and book chapters. He is currently serving as Associate Editor for the IEEE Transactions on Signal Processing.
Francois Auger is Head of the Physical Measurements Department of the Technology Institute of the University of Saint Nazaire, France. His current research interests include motor control, embedded control and signal processing with FPGAs, spectral estimation and time-frequency representations.