The Characteristic Parameter Estimation of Low Temperature Target Weak Signal Based on VanderPol-Duffing System

Abstract:

The weak signal, which is usually submerged in strong noise, is very difficult to detecte for its amplitude and frequency. The dynamic properties of VanderPol-Duffing are studied in this paper. Such system can go into the chaos under certain parameters. In chaotic state the disturbance of weak periodic signals can make the system dynamic behavior change dramatically. Our research results show that the system is from period doubling state to chaotic state when the amplitude of input signal is changed. And it has a remarkable impact influence on the system dynamic performance when the input frequency is varied. The unknown frequency can be detected through counting the numbers of turning point in phase diagram. The simulation results verified that the presented method is feasible and there are a lot of theory values in the research.

• Periodical: Applied Mechanics and Materials (Volumes 347-350)
• Pages: 706-710
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.347-350.706
• Online since: August 2013
• Authors: Yan Chun Xu, Dan Feng Zhao, Mi Lu
• Keywords: Amplitude Extracting, Frequency Estimation, VanderPol-Duffing Equation, Weak Signal Detection

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