Analysis and separation of time-frequency components in signals with chaotic behavior
Chaotic Dynamics
2010-07-28 v2
Abstract
The analysis of chaotic signals with time-frequency methods is considered. For this purpose, two new transformations are presented which consist in the decomposition of a signal onto an orthogonal set of respectively linear and hyperbolic chirps. The linear chirp transformation is able to discriminate and extract particular chaotic components in non-stationary square integrable signals. This is demonstrated in an example studying the reflectometry measures of a turbulent plasma. The hyperbolic chirp transformation is designed for the detection and extraction of chaotic parts in self-similar processes such as stochastic motions. Mathematical connections are made between these two methods and other well-known transformations.
Keywords
Cite
@article{arxiv.1003.0734,
title = {Analysis and separation of time-frequency components in signals with chaotic behavior},
author = {Benjamin Ricaud and Francoise Briolle and F. Clairet},
journal= {arXiv preprint arXiv:1003.0734},
year = {2010}
}