Delay reconstruction for multiprobe signals

Muldoon, Mark R. and Broomhead, David S. and Huke, Jeremy P. (1994) Delay reconstruction for multiprobe signals. In: IEE Colloquium on Exploiting Chaos in Signal Processing. IEE, London, 3/1-3/6.

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Abstract

A physical system governed by low-dimensional dynamics may be described completely with just a few measurements. Once one has such a description, any further measurements are redundant-one ought to be able to determine the results from what one already knows. Here we apply this idea to multivariate time series; we use the signal in one of the channels to build a model of the underlying system, then use the model to predict all the other channels. We demonstrate the method on a signal from a fluid-mechanical experiment, then discuss the implications for signal compression and for the secrecy of messages masked by chaotic noise

Item Type:	Book Section
Uncontrolled Keywords:	chaos, delay reconstruction, multiprobe signals, multivariate time series, signal compression, cross prediction, Takens embedding
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 53 Differential geometry PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 00 GENERAL PHYSICS > 05 Statistical physics, thermodynamics, and nonlinear dynamical systems
Depositing User:	Dr Mark Muldoon
Date Deposited:	28 Oct 2011
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1691

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