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On the chirp decomposition of Weierstrass–Mandelbrot functions, and their time–frequency interpretation

✍ Scribed by Pierre Borgnat; Patrick Flandrin

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
507 KB
Volume
15
Category
Article
ISSN
1063-5203

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✦ Synopsis

Weierstrass-Mandelbrot functions are given a time-frequency interpretation which puts emphasis on their possible decomposition on chirps as an alternative to their standard, Fourier-based, representation. Examples of deterministic functions are considered, as well as randomized versions for which the analysis is applied to empirical estimates of statistical quantities.

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