Stochastic resonance in a linear system induced by multiplicative asymmetric trichotomous noise

Author

Wu, Juan ; Xu, Yong ; Zhang, Huiqing

Author_Institution

Dept. of Appl. Math., Northwestern Polytech. Univ., Xi´´an, China

fYear

2011

fDate

26-28 July 2011

Firstpage

2609

Lastpage

2612

Abstract

The phenomenon of stochastic resonance (SR) in a linear system with an external periodic signal derived by a multiplicative asymmetric trichotomous noise is investigated. The exact expression of the first moment has been derived by the Shapiro-Loginov formula. The non-monotonic dependence of the output amplitude of the periodic response on the asymmetric trichotomous noise parameter is presented such as the noise strength and the asymmetry degree, and the stochastic resonance phenomena are analyzed. It is found that the multiplicative asymmetric trichotomous noise can induce the SR in a linear system under some conditions in a broad sense.

Keywords

linear systems; signal processing; stochastic systems; Shapiro-Loginov formula; asymmetric trichotomous noise parameter; external periodic signal; linear system; multiplicative asymmetric trichotomous noise; output amplitude nonmonotonic dependence; periodic response; stochastic resonance; Correlation; Equations; Linear systems; Mathematical model; Noise; Stochastic resonance; Strontium; Stochastic resonance; linear system; multiplicative asymmetric trichotomous noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002676

Filename

6002676