Practical Time-frequency Analysis

This text gives an account of methods for analyzing mathematical functions and signals simultaneously in terms of time and frequency variables. A presentation of the applications of these transforms to signal processing is also given.

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Time frequency analysis has been the object of intense research activity since 1990. This text gives an account of methods for analyzing mathematical functions and signals simultaneously in terms of time and frequency variables. A presentation of the applications of these transforms to signal processing is given, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection and synthesis. A set of tools in the form of a library of S functions, downloadable from the author's Web sites in the United States and France.