一种新型Lv-cos混沌系统的弱信号检测方法研究  

Weak Signal Detection of a New Type Lv-cos Chaotic System

作　　者：王伟豪 刘树勇[1] 杨庆超[1] WANG Weihao;LIU Shuyong;YANG Qingchao(College of Power Engineering,Naval University of Engineering,Wuhan 430033,China)

机构地区：[1]海军工程大学动力工程学院,武汉430033

出　　处：《噪声与振动控制》2021年第3期88-94,共7页Noise and Vibration Control

基　　金：国家自然科学基金资助项目(51579242,51909267)。

摘　　要：为实现低信噪比下未知频率的故障信号检测,构造一种新的三维弱信号检测系统-Lv-cos系统,分析新混沌系统的基本动力学行为,研究表明新型Lv-cos系统对于弱信号检测具有广域性,由混沌状态过渡到周期状态临界值唯一,且状态变化明显,适用于弱信号检测,在不同背景噪声下可检测信噪比低至-66 dB的弱信号。将变尺度法引入到新型Lv-cos检测系统,并对待测信号与内置信号进行合并处理,通过理论和仿真实验证明,该方法可以仅在一组系统参数条件下实现对任意频率、任意相位信号的检测。新设计的Lv-cos混沌系统解决了原始Lv混沌系统状态变化不明显,临界点选取困难等问题,在弱信号检测领域的工程实践中有广阔的应用前景。In order to realize the fault signal detection of unknown frequency under low SNR,a new three-dimensional weak signal detection system-Lv-cos system was constructed.The basic dynamic behavior of the new chaotic system was analyzed.Research shows that the new Lv-cos system can detect the weak signal in a wide region.The critical value of the transition from chaotic state to periodic state is unique,and the state change is obvious.It is suitable for weak signal detection and can effectively detect harmonic periodic signal with the SNR as low as -69 dB in different noise backgrounds.The variable scale method was introduced into the new Lv-cos detection system,and the signal to be measured was combined with the built-in signal.The theory and simulation experiments prove that the method can realize the signal detection of any frequency and any phase under a set of system parameters.The newly designed Lv-cos chaotic system can solve the problem of insignificant state change of the original Lv chaotic system and overcome the difficulty for selecting critical points.It has a broad application prospects in engineering practice of weak signal detection.

关 键 词：振动与波 Lv-cos混沌系统 变尺度 LYAPUNOV指数 弱信号检测 Gauss白噪声 

分 类 号：X839[环境科学与工程—环境工程]