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.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00175961
Contributeur : Pierre Borgnat
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Soumis le : lundi 1 octobre 2007 - 20:27:43
Dernière modification le : jeudi 19 avril 2018 - 14:54:03
Document(s) archivé(s) le : jeudi 27 septembre 2012 - 12:25:15
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〉
