基于变形Lorenz系统和李雅普诺夫指数的微弱周期信号检测

提出了一种变形的Lorenz混沌检测系统,此系统主要具有混沌态和类周期态2种状态。利用最大李雅普诺夫指数作为判断混沌系统由混沌态趋于类周期态变化的量化依据,自动识别混沌系统的临界状态,更准确地判断微弱信号的存在。将互相关检测方法与混沌检测方法相结合,实现强噪声背景下微弱周期信号检测。仿真结果表明,该方法能有效地检测出强噪声中的微弱周期信号。

Weak Periodic Signal Detection Based on a Deformable Lorenz Detection System and the Maximum Lyapunov Exponent

A deformable Lorenz chaos detection system is proposed. The system has two kinds of states, chaos state and class period state. The maximum Lyapunov exponent is used to distinguish chaos state from class period state as the quantification basis. It can automatically identify the critical state of chaotic systems and can more accurately determine the presence of weak signals.The chaos detection combines with the cross-correlation detection method to achieve weak periodic signals detection in strong noise. Simulation results show that the system can effectively detect weak periodic signals in strong noise.