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Nonlinear signal detection in the time domain: Level crossing statistics and noise-mediated minimization of the measurement error
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UNSPECIFIED (2004) Nonlinear signal detection in the time domain: Level crossing statistics and noise-mediated minimization of the measurement error. FLUCTUATION AND NOISE LETTERS, 4 (1). L63-L73. ISSN 0219-4775.
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Abstract
We study the problem of detecting a small de signal by quantifying its effect on the mean difference AT in residence times in the stable steady states of a bistable dynamical measurement device, in the presence of a noise-floor and a known time-sinusoidal bias signal. Errors in the measurement process occur due to a finite observation time that is present in most practical scenarios; in turn, noise degrades the measurement. Adjusting the bias signal amplitude to a slightly subthreshold operating regime, leads to a nonmonotonic dependence of the (suitably defined) error on the noise intensity; at a critical noise intensity, the error is minimized. This phenomenon, reminiscent of the well-known Stochastic Resonance effect [1-4], appears to be most pronounced for subthreshold bias signals in the strongly nonlinear response regime. The results can be applied to a variety of nonlinear systems, including neurons, that operate in the time-domain.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | FLUCTUATION AND NOISE LETTERS | ||||
Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD | ||||
ISSN: | 0219-4775 | ||||
Official Date: | March 2004 | ||||
Dates: |
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Volume: | 4 | ||||
Number: | 1 | ||||
Number of Pages: | 11 | ||||
Page Range: | L63-L73 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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