中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30516-030516.doi: 10.1088/1674-1056/19/3/030516

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A new approach to detecting weak signal in strong noise based on chaos system control

杨春玲1, 徐艳春2, 瞿晓东3   

  1. (1)Harbin Institute of Technology, Harbin 150001, China; (2)Harbin Institute of Technology, Harbin 150001, China;Heilongjiang University, Harbin 150080, China; (3)Heilongjiang University, Harbin 150080, China
  • 收稿日期:2009-03-30 修回日期:2009-09-24 出版日期:2010-03-15 发布日期:2010-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60877065), Science and Technology Innovation Talents Special Funds of Harbin, China (Grant No. RC2008XK009004), and the Heilongjiang Provincial Education Department, China (Grant No. 11544035).

A new approach to detecting weak signal in strong noise based on chaos system control

Xu Yan-Chun(徐艳春)a)b)†, Yang Chun-Ling(杨春玲)a), and Qu Xiao-Dong(瞿晓东)b)   

  1. a Harbin Institute of Technology, Harbin 150001, China; b Heilongjiang University, Harbin 150080, China
  • Received:2009-03-30 Revised:2009-09-24 Online:2010-03-15 Published:2010-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60877065), Science and Technology Innovation Talents Special Funds of Harbin, China (Grant No. RC2008XK009004), and the Heilongjiang Provincial Education Department, China (Grant No. 11544035).

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摘要： In this paper, a chaos system and proportional differential control are both used to detect the frequency of an unknown signal. In traditional methods the useful signal is obtained through the Duffing equation or other chaotic oscillators. But these methods are too complex because of using a lot of chaos oscillators. In this paper a new method is presented that uses the R?ssler equation and proportional differential control to detect a weak signal frequency. Substituting the detected signal frequency into the R?ssler equation leads the R?ssler phase state to be considerably changed. The chaos state can be controlled through the proportional differential method. Through its phase diagram and spectrum analysis, the unknown frequency is obtained. The simulation results verify that the presented method is feasible and that the detection accuracy is higher than those of other methods.

Abstract: In this paper, a chaos system and proportional differential control are both used to detect the frequency of an unknown signal. In traditional methods the useful signal is obtained through the Duffing equation or other chaotic oscillators. But these methods are too complex because of using a lot of chaos oscillators. In this paper a new method is presented that uses the R?ssler equation and proportional differential control to detect a weak signal frequency. Substituting the detected signal frequency into the R?ssler equation leads the R?ssler phase state to be considerably changed. The chaos state can be controlled through the proportional differential method. Through its phase diagram and spectrum analysis, the unknown frequency is obtained. The simulation results verify that the presented method is feasible and that the detection accuracy is higher than those of other methods.

Key words: chaos system, proportional differential control, spectrum analysis, signal detection

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems)