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.  2003 Elsevier Inc. All rights reserved.

7 Figures and Tables

Cite this paper

@inproceedings{Borgnat2003OnTC, title={On the chirp decomposition of Weierstrass–Mandelbrot functions, and their time–frequency interpretation}, author={Pierre Borgnat and Patrick Flandrin and Yves F. Meyer}, year={2003} }