Quantifying stochastic resonance in a single threshold detector for random aperiodic signals

Aruneema Das; N. G. Stocks; A. Nikitin; E. L. Hines

doi:10.1142/S0219477504001586

Quantifying stochastic resonance in a single threshold detector for random aperiodic signals

Aruneema Das, N. G. Stocks, A. Nikitin, E. L. Hines

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Abstract

We explore stochastic resonance (SR) effects in a single comparator (threshold detector) driven by either a Gaussian or exponentially distributed aperiodic signal. The behaviour of different performance measures, namely the cross-correlation coefficient (CCC), signal-to-noise ratio (SNR) and mutual information, I, has been investigated. The signals were added to Gaussian noise before being passed through the threshold detector. For the two signals tested, we observe the perhaps surprising result that the SNR never displays SR. However, SR is displayed by both the CCC and I for Gaussian signals. For exponential signals SR is not displayed by any of the measures. By generating signals whose probability distributions have the generalized Gaussian form Ae-|βx|n it is possible to demonstrate that SR ceases to occur if n

Original language	English
Pages (from-to)	L247-L265
Journal	Fluctuation and Noise Letters
Volume	4
Issue number	2
DOIs	https://doi.org/10.1142/S0219477504001586
Publication status	Published - Jun 2004

Keywords

Cross correlation coefficient
Information
Signal to noise ratio
Stochastic resonance

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10.1142/S0219477504001586

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title = "Quantifying stochastic resonance in a single threshold detector for random aperiodic signals",

abstract = "We explore stochastic resonance (SR) effects in a single comparator (threshold detector) driven by either a Gaussian or exponentially distributed aperiodic signal. The behaviour of different performance measures, namely the cross-correlation coefficient (CCC), signal-to-noise ratio (SNR) and mutual information, I, has been investigated. The signals were added to Gaussian noise before being passed through the threshold detector. For the two signals tested, we observe the perhaps surprising result that the SNR never displays SR. However, SR is displayed by both the CCC and I for Gaussian signals. For exponential signals SR is not displayed by any of the measures. By generating signals whose probability distributions have the generalized Gaussian form Ae-|βx|n it is possible to demonstrate that SR ceases to occur if n",

keywords = "Cross correlation coefficient, Information, Signal to noise ratio, Stochastic resonance",

author = "Aruneema Das and Stocks, {N. G.} and A. Nikitin and Hines, {E. L.}",

year = "2004",

month = jun,

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language = "English",

volume = "4",

pages = "L247--L265",

journal = "Fluctuation and Noise Letters",

issn = "0219-4775",

publisher = "World Scientific Publishing Co. Pte. Ltd",

number = "2",

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TY - JOUR

T1 - Quantifying stochastic resonance in a single threshold detector for random aperiodic signals

AU - Das, Aruneema

AU - Stocks, N. G.

AU - Nikitin, A.

AU - Hines, E. L.

PY - 2004/6

Y1 - 2004/6

N2 - We explore stochastic resonance (SR) effects in a single comparator (threshold detector) driven by either a Gaussian or exponentially distributed aperiodic signal. The behaviour of different performance measures, namely the cross-correlation coefficient (CCC), signal-to-noise ratio (SNR) and mutual information, I, has been investigated. The signals were added to Gaussian noise before being passed through the threshold detector. For the two signals tested, we observe the perhaps surprising result that the SNR never displays SR. However, SR is displayed by both the CCC and I for Gaussian signals. For exponential signals SR is not displayed by any of the measures. By generating signals whose probability distributions have the generalized Gaussian form Ae-|βx|n it is possible to demonstrate that SR ceases to occur if n

AB - We explore stochastic resonance (SR) effects in a single comparator (threshold detector) driven by either a Gaussian or exponentially distributed aperiodic signal. The behaviour of different performance measures, namely the cross-correlation coefficient (CCC), signal-to-noise ratio (SNR) and mutual information, I, has been investigated. The signals were added to Gaussian noise before being passed through the threshold detector. For the two signals tested, we observe the perhaps surprising result that the SNR never displays SR. However, SR is displayed by both the CCC and I for Gaussian signals. For exponential signals SR is not displayed by any of the measures. By generating signals whose probability distributions have the generalized Gaussian form Ae-|βx|n it is possible to demonstrate that SR ceases to occur if n

KW - Cross correlation coefficient

KW - Information

KW - Signal to noise ratio

KW - Stochastic resonance

U2 - 10.1142/S0219477504001586

DO - 10.1142/S0219477504001586

M3 - Article

SN - 0219-4775

VL - 4

SP - L247-L265

JO - Fluctuation and Noise Letters

JF - Fluctuation and Noise Letters

IS - 2

ER -

Quantifying stochastic resonance in a single threshold detector for random aperiodic signals

Abstract

Keywords

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