中国物理B ›› 2009, Vol. 18 ›› Issue (1): 70-75.doi: 10.1088/1674-1056/18/1/013

• GENERAL • 上一篇    下一篇

Stochastic resonance in a parallel array of linear elements

董小娟   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • 收稿日期:2008-04-08 修回日期:2008-06-25 出版日期:2009-01-20 发布日期:2009-01-20

Stochastic resonance in a parallel array of linear elements

Dong Xiao-Juan(董小娟)†   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2008-04-08 Revised:2008-06-25 Online:2009-01-20 Published:2009-01-20

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摘要： This paper studies stochastic resonance (SR) phenomenon in a parallel array of linear elements with noise. Employing the signal-to-noise ratio (SNR) theory, it obtains the output SNR, and investigates the effects on the output SNR of the system with signal-independent noise and signal-dependent noise respectively. Numerical results show: the curve of the output SNR is monotone with signal-independent noise; whereas SR appears with signal-dependent noise. Moreover, the output SNR enhances rapidly with the increase of N which is the number of elements in this parallel array linear system. This result may provide smart array of simple linear sensors which are capable of acting as noise-aided amplifiers.

Abstract: This paper studies stochastic resonance (SR) phenomenon in a parallel array of linear elements with noise. Employing the signal-to-noise ratio (SNR) theory, it obtains the output SNR, and investigates the effects on the output SNR of the system with signal-independent noise and signal-dependent noise respectively. Numerical results show: the curve of the output SNR is monotone with signal-independent noise; whereas SR appears with signal-dependent noise. Moreover, the output SNR enhances rapidly with the increase of N which is the number of elements in this parallel array linear system. This result may provide smart array of simple linear sensors which are capable of acting as noise-aided amplifiers.

Key words: linear sensor, signal-to-noise ratio theory, stochastic resonance, signal-dependent noise

中图分类号:  (Stochastic processes)

  • 02.50.Ey
02.60.-x (Numerical approximation and analysis) 05.40.Ca (Noise) 05.45.-a (Nonlinear dynamics and chaos) 07.07.Df (Sensors (chemical, optical, electrical, movement, gas, etc.); remote sensing)