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The frequency detection model with anti-noise in the autonomous chaotic system
Authors:SHU N  ZHANG Xiaoxing and SUN Caixin
Institution:State Key Laboratory of Power Transmission Equipment & System Security and New Technology of Chongqing University, Shapingba District, Chongqing 400044, China;State Key Laboratory of Power Transmission Equipment & System Security and New Technology of Chongqing University, Shapingba District, Chongqing 400044, China;State Key Laboratory of Power Transmission Equipment & System Security and New Technology of Chongqing University, Shapingba District, Chongqing 400044, China
Abstract:A method of detecting the signal frequency which is disturbed by the noise based on the autonomous chaotic system is proposed. A signal with noise was added to an autonomous chaotic system, and then a negative feedback was imposed to it. The feedback gain was appropriately adjusted, so as to let the noisy system orbit be a limit cycle. The number of times that the orbit went directly through a plane was calculated by loop phase technology, and the vibration frequency was found according to it. The frequency of system is determined by the frequency of the test signal, yet free from noise, so the frequency of the test signal is the vibration frequency of the system. Simulation results further demonstrate the effectiveness of the method.
Keywords:autonomous chaotic system  negative feedback  vibration frequencies  signal detection  lyapunov index
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