A pseudo-matched filter for chaos.

Published

Journal Article

A matched filter maximizes the signal-to-noise ratio of a signal. In the recent work of Corron et al. [Chaos 20, 023123 (2010)], a matched filter is derived for the chaotic waveforms produced by a piecewise-linear system. This system produces a readily available binary symbolic dynamics that can be used to perform correlations in the presence of large amounts of noise using the matched filter. Motivated by these results, we describe a pseudo-matched filter, which operates similarly to the original matched filter. It consists of a notch filter followed by a first-order, low-pass filter. We compare quantitatively the matched filter's performance to that of our pseudo-matched filter using correlation functions. On average, the pseudo-matched filter performs with a correlation signal-to-noise ratio that is 2.0 dB below that of the matched filter. Our pseudo-matched filter, though somewhat inferior in comparison to the matched filter, is easily realizable at high speed (>1 GHz) for potential radar applications.

Full Text

Duke Authors

Cited Authors

  • Cohen, SD; Gauthier, DJ

Published Date

  • September 2012

Published In

Volume / Issue

  • 22 / 3

Start / End Page

  • 033148 -

PubMed ID

  • 23020487

Pubmed Central ID

  • 23020487

Electronic International Standard Serial Number (EISSN)

  • 1089-7682

International Standard Serial Number (ISSN)

  • 1054-1500

Digital Object Identifier (DOI)

  • 10.1063/1.4754437

Language

  • eng