PMID: 15244811Jul 13, 2004Paper

Noise suppression and spectral decomposition for state-dependent noise in the presence of a stationary fluctuating input

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
D Brian Walton, Koen Visscher

Abstract

It recently has been shown that the observed noise amplitude of an intrinsically noisy system may be reduced by causing the underlying state to fluctuate [Phys. Rev. Lett. 86, 950 (2001)]]. This paper extends the previous theory by considering the full power spectrum of the output signal, interpreting noise reduction in terms of the low-frequency end of the spectrum as well as the integrated spectrum. Our treatment accounts for arbitrarily sized fluctuations and deals with both continuous and discretely sampled observations. We show that noise suppression is possible if and only if the stationary average of the intensity of state-dependent noise decreases. We apply our analysis to an example involving saturable electrical conduction discussed in the original paper by Vilar and Rubí.

References

Jun 9, 1995·Science·Z F Mainen, T J Sejnowski
May 9, 1997·Science·R D Astumian
Feb 15, 2001·Physical Review Letters·J M Vilar, J M Rubí
Dec 31, 2002·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·Peter Hänggi

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Citations

Sep 27, 2013·Scientific Reports·Jun Jing, Lian-Ao Wu
Mar 17, 2017·Physical Review. E·Ehsan Gholami, Zahra Mohammaddoust Lashkami
Nov 5, 2004·Physical Review Letters·Yeonee SeolD Brian Walton

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