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Liu-cos Chaotic System and Its Application in Acoustic Weak Signal Detection |
LIU Jian-ming,XI Jing-wei |
College of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei 066004, China |
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Abstract According to the characteristics of three dimensional chaotic weak signal detection system, a new algorithm for determining the convergence was suggested with a combination of fourier transformation and Lyapunov algorithm. The wide area detection for acoustic weak signal by the three-dimensional Liu-cos chaotic system was proved. When the amplitude of the input acoustic signal is greater than the certain critical threshold, the output of the variable x becomes a cycle perturbation signal balanced on the input acoustic signal, the output of the variables y and z is converged to zero. The critical threshold of the Liu-cos chaotic weak signal detection system has uniqueness. It solves the two problems of the period convergence and narrow detection domain by using the traditional Duffing chaotic acoustic weak signal detection system. The actual experiment of Duffing chaotic acoustic signal detection system and three dimensional Liu-cos chaotic acoustic signal detection system were done. The performances of the chaotic systems in the actual acoustic detection experiment were analyzed.
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Received: 30 March 2017
Published: 12 April 2018
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