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

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

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