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Type: Journal article
Title: Optimal stimulus and noise distributions for information transmission via suprathreshold stochastic resonance
Author: McDonnell, M.
Stocks, N.
Abbott, D.
Citation: Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 2007; 75(6):061105-01-061105-13
Publisher: American Physical Soc
Issue Date: 2007
ISSN: 1539-3755
Statement of
Mark D. McDonnell, Nigel G. Stocks, and Derek Abbott
Abstract: Suprathreshold stochastic resonance (SSR) is a form of noise-enhanced signal transmission that occurs in a parallel array of independently noisy identical threshold nonlinearities, including model neurons. Unlike most forms of stochastic resonance, the output response to suprathreshold random input signals of arbitrary magnitude is improved by the presence of even small amounts of noise. In this paper, the information transmission performance of SSR in the limit of a large array size is considered. Using a relationship between Shannon's mutual information and Fisher information, a sufficient condition for optimality, i.e., channel capacity, is derived. It is shown that capacity is achieved when the signal distribution is Jeffrey's prior, as formed from the noise distribution, or when the noise distribution depends on the signal distribution via a cosine relationship. These results provide theoretical verification and justification for previous work in both computational neuroscience and electronics.
Rights: ©2007 American Physical Society
RMID: 0020072394
DOI: 10.1103/PhysRevE.75.061105
Appears in Collections:Electrical and Electronic Engineering publications

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