Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-04-05
Phys. Rev. E 75, 061105 (2007)
Physics
Condensed Matter
Statistical Mechanics
Accepted for publication by Physical Review E, 28 pages of text and references, 5 figures, 2 tables
Scientific paper
10.1103/PhysRevE.75.061105
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.
Abbott Derek
McDonnell Mark D.
Stocks Nigel G.
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