2012
DOI: 10.1088/1742-6596/364/1/012046
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Enhancement detection of characteristic signal using stochastic resonance by adding a harmonic excitation

Abstract: For a bistable nonlinear system, deterministic and stochastic excitations play equivalent roles in promotion of chaos according to qualitative results of Melnikov theory. When a bistable system maintains the state of stochastic resonance (SR), the output of system is chaotic, and the most effective spectral shape is obtained when the output power is distributed closet to the frequency of the Melnikov scale's peak. In classical SR, improvement of the signal-to-noise ratio (SNR) is achieved by increasing the noi… Show more

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Cited by 5 publications
(2 citation statements)
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“…SR conditions (42) where SR conditions can be obtained by classical theories and methods, including timescale matching conditions [40,43], stability conditions [42,44], threshold conditions [45], amplitude gain under weak noise limit conditions [46], etc. Assume a periodic forcing signal is applied to the particle in a bistable QDW potential; the matched relationship of the signal frequency ( f 0 ), noise intensity (D), and nonlinear system parameters (a and b) can be obtained by maximizing the system SNRI.…”
Section: Theory Of Matched Stochastic Resonance (Msr)mentioning
confidence: 99%
“…SR conditions (42) where SR conditions can be obtained by classical theories and methods, including timescale matching conditions [40,43], stability conditions [42,44], threshold conditions [45], amplitude gain under weak noise limit conditions [46], etc. Assume a periodic forcing signal is applied to the particle in a bistable QDW potential; the matched relationship of the signal frequency ( f 0 ), noise intensity (D), and nonlinear system parameters (a and b) can be obtained by maximizing the system SNRI.…”
Section: Theory Of Matched Stochastic Resonance (Msr)mentioning
confidence: 99%
“…SR conditions (20) where SR conditions can be obtained by classical theories and methods, including timescale matching conditions [28,39], stability conditions [52,53], threshold conditions [54], amplitude gain under weak noise limit conditions [55], etc. Assume a periodic forcing signal with an amplitude A and a frequency f 0 is applied to the particle with an overdamped first-order bistable QDW potential.…”
Section: Snri Stmentioning
confidence: 99%