Liu-cos混沌系统在声波弱信号检测中的应用

针对混沌三维弱信号检测系统的特点,设计了一种傅里叶变换和李雅普诺夫算法相结合的收敛性判别算法,证明了三维Liu-cos混沌系统对于声波弱信号检测具有广域性并且当输入声波信号幅值大于临界阈值时,系统变量x输出平衡于输入的周期摄动力信号, 系统变量y和z的输出收敛于零,临界阈值具有唯一性。解决了传统Duffing混沌系统应用于声波弱信号检测时,系统变量x和y输出不收敛、只能进入窄域检测等问题。构造了Duffing混沌系统和三维Liu-cos混沌系统的实际声波检测实验,分析了混沌系统在实际声波检测过程中的性能。

Liu-cos Chaotic System and Its Application in Acoustic Weak Signal Detection

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.