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Detection Weak Period Signal Using Chaotic Oscillator

注意:本論文已在《 ICCSA 2009, Part I 》pp. 685-69發表
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Qizhong Liu and Wanqing Song
College of electronic and electrical engineering, Shanghai University of Science, Shanghai, 201620, P.R. China

Abstract:Some weak cycle singular signals are very important for condition monitoring, fault forecast and medicine diagnosis. However, the weak singular signals are often inundate into strong noises. A novel engineering method is proposed for detecting weak cycle signal in the strong signal by determining chaotic threshold of the Duffing-Holmes oscillator. First, a rough threshold value is calculated by local Lyapunov exponents with a step size 0.1. Second, the exact threshold value is calculated by the Duffing-Holmes system in terms of the law of the golden section. The advantage of the method will show not only lower computation cost, but also the weak cycle signal can be rigorously extracted from strong noise.
Keywords: Lyapunov exponents, Duffing-Homles system, the law of the golden section, Threshold for chaos.

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