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

DOI10.1016/S1063-5203(03)00047-2zbMath1054.94002MaRDI QIDQ1413114

Patrick Flandrin, Pierre Borgnat

Publication date: 16 November 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

chirpsWeierstrass functiontime-frequency

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fractals (28A80) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Modulation and demodulation in information and communication theory (94A14)

Related Items (5)

Control of Weierstrass–Mandelbrot Function Model with Morlet Wavelets ⋮ Fractal oscillations of chirp functions and applications to second-order linear differential equations ⋮ Fractal oscillations of self-adjoint and damped linear differential equations of second-order ⋮ Wavelet Analysis of Self Similar Functions ⋮ Fractal Haar system

Uses Software

• Matlab
• Time-frequency Toolbox

Cites Work

• CONVERGENCE OF THE WEIERSTRASS-MANDELBROT PROCESS TO FRACTIONAL BROWNIAN MOTION
• On the Weierstrass-Mandelbrot fractal function
• Semi-Stable Stochastic Processes
• Fractional Brownian Motions, Fractional Noises and Applications
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