EXTRACTING SLOWLY VARYING SIGNALS FROM A CHAOTIC BACKGROUND

1 June 1992

journal article
Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos

Vol. 2 (2) , 413-419
https://doi.org/10.1142/s0218127492000409

Abstract

We consider the problem of extracting a small signal embedded in a stronger chaotic background. Under the assumption that the desired signal is relatively slowly varying we are able to devise an algorithm which in simple tests can recover the signal to a reasonable accuracy when the ratio of amplitudes of signal to chaotic background is as low as 10⁻¹⁰:1 when the dynamics of the background is known and 10⁻⁵:1 when the dynamics has to be estimated from the mixed signal itself. Potential applications include diagnostic monitoring of vibrating machinery as well as noise reduction in a variety of scenarios.

Keywords

DIAGNOSTIC
CHAOTIC BACKGROUND
SIGNAL TO CHAOTIC
ALGORITHM
SLOWLY VARYING SIGNALS
EXTRACTING SLOWLY

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