中国物理B ›› 2009, Vol. 18 ›› Issue (12): 5196-5202.doi: 10.1088/1674-1056/18/12/016

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M-ary information processing via an optimal nonlinear detector

李建龙   

  1. Department of Information Science \& Electronic Engineering, Zhejiang University, Hangzhou\,\ 310027, China;Zhejiang Provincial Key Laboratory of Information Network Technology, Hangzhou\,\ 310027, China
  • 收稿日期:2009-03-29 修回日期:2009-06-03 出版日期:2009-12-20 发布日期:2009-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60702022).

M-ary information processing via an optimal nonlinear detector

Li Jian-Long(李建龙)a)b)†   

  1. a Department of Information Science & Electronic Engineering, Zhejiang University, Hangzhou, 310027, China; b Zhejiang Provincial Key Laboratory of Information Network Technology, Hangzhou, 310027, China
  • Received:2009-03-29 Revised:2009-06-03 Online:2009-12-20 Published:2009-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60702022).

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摘要： This paper presents a novel approach of M-ary baseband pulse amplitude modulated signal processing via a parameter-optimized nonlinear dynamic system. This nonlinear system usually shows the phenomenon of stochastic resonance by adding noise. To thoroughly discuss the signal processing performance of the nonlinear system, we tune the system parameters to obtain a nonlinear detector with optimal performance. For characterizing the output of the nonlinear system, the derivation of the probability of detection error is given by the system response speed and the probability density function of the nonlinear system output. By varying the noise intensity with fixed system parameters, the phenomenon of stochastic resonance is shown and by tuning the system parameters with fixed noise, the probability of detection error is minimized and the nonlinear system is optimized. The detection performance of the two cases is compared with the theoretical probability of detection error, which is validated by numerical simulation.

Abstract: This paper presents a novel approach of M-ary baseband pulse amplitude modulated signal processing via a parameter-optimized nonlinear dynamic system. This nonlinear system usually shows the phenomenon of stochastic resonance by adding noise. To thoroughly discuss the signal processing performance of the nonlinear system, we tune the system parameters to obtain a nonlinear detector with optimal performance. For characterizing the output of the nonlinear system, the derivation of the probability of detection error is given by the system response speed and the probability density function of the nonlinear system output. By varying the noise intensity with fixed system parameters, the phenomenon of stochastic resonance is shown and by tuning the system parameters with fixed noise, the probability of detection error is minimized and the nonlinear system is optimized. The detection performance of the two cases is compared with the theoretical probability of detection error, which is validated by numerical simulation.

Key words: nonlinear detector, stochastic resonance, tuning parameters, probability of detection error

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.50.Cw (Probability theory) 05.40.Ca (Noise) 84.40.Ua (Telecommunications: signal transmission and processing; communication satellites)