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Periodic Signals Read chapter Read first chapter

2017 | OriginalPaper | Chapter

7. Time-Frequency Analysis

Author : Jose Maria Giron-Sierra

Published in: Digital Signal Processing with Matlab Examples, Volume 1

Publisher: Springer Singapore

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Abstract

This chapter is a logical continuation of the previous chapter on signal changes. The consideration of nonstationary signals requires an assortment of analysis tools, to highlight different aspects of importance. Many scientific and technical activities are interested on such, for medical purposes, for earthquake study, for machine maintenance, for astronomy, etc. The chapter introduces the short-time Fourier transform, the Gabor expansion, the continuous wavelet transform, the SAF and the Wigner distribution. The central sections consider in more general terms signal representation aspects, which lead to the Cohen’s class and the affine class of distributions. The final sections introduce the linear canonical transformation, with a number of particular cases like the fractional Fourier transform or the Fresnel transform, and some representation methods that adapt better for some classes of signals, like the chirplet transform, the reassignment method, the modified S-transform, the empirical mode decomposition, etc. The chapter ends with a set of illustrative examples, related to health, nature sounds, and Earthquakes.

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Metadata
Title
Time-Frequency Analysis
Author
Jose Maria Giron-Sierra
Copyright Year
2017
Publisher
Springer Singapore
Book
Digital Signal Processing with Matlab Examples, Volume 1

Print ISBN: 978-981-10-2533-4

Electronic ISBN: 978-981-10-2534-1

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-2534-1_7