On the Chirp Decomposition of Weierstrass-Mandelbrot Functions, and their Time-Frequency Interpretation - Archive ouverte HAL Access content directly
Journal Articles Applied and Computational Harmonic Analysis Year : 2003

On the Chirp Decomposition of Weierstrass-Mandelbrot Functions, and their Time-Frequency Interpretation

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Pierre Borgnat
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  • PersonId : 838021
Patrick Flandrin
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Abstract

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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Dates and versions

ensl-00175961 , version 1 (01-10-2007)

Identifiers

  • HAL Id : ensl-00175961 , version 1

Cite

Pierre Borgnat, Patrick Flandrin. On the Chirp Decomposition of Weierstrass-Mandelbrot Functions, and their Time-Frequency Interpretation. Applied and Computational Harmonic Analysis, 2003, 15, pp.134-146. ⟨ensl-00175961⟩
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