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Detecting Weak Signal Based on the Duffing Chaotic Oscillator

Author: WeiXinJian
Tutor: ZhangGuoShan
School: Tianjin University
Course: Control Theory and Control Engineering
Keywords: Weak Signal Detection Duffing system Lyapunov exponents Phase transducer array
CLC: TN911.23
Type: Master's thesis
Year: 2010
Downloads: 230
Quote: 1
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Abstract


Weak signal detection is the use of electronics, information theory and physics method to study the characteristics of the signal and correlation detecting weak signals masked by noise. In the case of a strong background noise, the conventional linear filtering methods generally fail detection. Therefore, finding a new detection method is an urgent task. According to chaos theory, chaotic systems under certain conditions on the small signal at the same time sensitive to noise immunity, making it a very potential signal detection, the use of this feature of chaotic systems to detect weak signals. In recent years, the use of weak signal detection by chaotic system of great concern of many scholars, this article is based on Duffing system to detect weak sinusoidal signal, the main contents are as follows: a proposed utilization phase plane method, timing diagram method, Lyapunov exponent method to determine the Duffing system threshold values. As Duffing chaotic oscillator based on detection of weak sinusoidal signal system needs to be set during the exact threshold, the threshold affects the accuracy of the test results. This utilization of three methods to obtain a more precise system threshold for the next weak sinusoidal signal detection and lay a solid foundation. Numerical simulations show the effectiveness of the method. 2 In order to be able to detect even weak sinusoidal signal frequency of Duffing system parameters to be adjusted so that the system threshold weak sinusoidal signal with amplitude of roughly the same. Using Duffing oscillator array detection weak sinusoidal signal frequency, the premise of high detection accuracy, reduce inter-oscillator frequency ratio, increase the number of transducers. Numerical simulations show the effectiveness and accuracy of the method. 3 for the current weak sinusoidal signal phase detection method deficiencies, proposed Duffing chaotic oscillator based on detection of weak sinusoidal signal phase, a new method, namely the phase of the transducer array method. It combines two coupled Duffing oscillator phase detection method and the third method has the advantage, but abandoned their shortcomings, and, ultimately, a convenient, high precision, easy to project implementation phase detecting weak sinusoidal signal a new method, but also through increasing the number of transducers phase phase detection error can be reduced, while a certain immunity to noise. Numerical simulation shows the validity and accuracy of the method. 4 study is based on Duffing chaotic oscillator detect faint magnitude lower amplitude sinusoidal signal, again on Duffing system parameters to be improved, so that the system under test signal amplitude threshold size remains in the same order of magnitude. This can effectively detect weaker sinusoidal signal amplitude, increase the amplitude detection accuracy, strong anti-interference. Numerical simulation shows the effectiveness of the method.

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