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

doi:10.1088/1674-1056/19/3/030516

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.

Keywords: chaos system proportional differential control spectrum analysis signal detection

Received: 30 March 2009
Revised: 24 September 2009
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: 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).

Cite this article:

Xu Yan-Chun(徐艳春), Yang Chun-Ling(杨春玲), and Qu Xiao-Dong(瞿晓东) A new approach to detecting weak signal in strong noise based on chaos system control 2010 Chin. Phys. B 19 030516

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

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