基于Lorenz系统的微弱谐和信号检测  

Detection of weak harmonic signals in strong noise based on Lorenz system

作　　者：谌龙[1] 王德石[1] 

机构地区：[1]海军工程大学兵器工程系,武汉430033

出　　处：《仪器仪表学报》2007年第11期2034-2038,共5页Chinese Journal of Scientific Instrument

基　　金：国家自然科学基金(10272113)资助项目

摘　　要：基于非共振参数激励混沌抑制原理,利用受控Lorenz系统实现强噪声背景下微弱谐和信号的检测。根据检测系统经平均法和重整化方法处理后的参数等效关系,确定使系统动力学行为由周期轨道突变为稳定平衡点的检测参数临界值。仿真结果表明此系统可以准确检测出强噪声背景下的微弱谐和信号。相比于现有的混沌振子检测方法,此方案可由理论分析得到参数阈值的准确范围,且判决准则简单,有利于实现自动检测。Based on the principle of chaos suppression with nonresonant parametric drive, detection of weak harmonic signals in strong noise is realized with controlled Lorenz systems. According to the parametric equivalent relationship obtained using averaging method and renormalization method, the critical values of detection parameters are determined, which lead to a sudden change of system dynamical behavior from periodic orbit to stable equilibrium point. Simulation results show that weak harmonic signals in strong noise can be detected accurately with the proposed system. Compared with existing detection methods with chaotic oscillator, this method can obtain accurate range of parameter threshold through theoretical analysis, and the detection criterion is rather simple, which is suitable for automatic detection.

关 键 词：LORENZ系统 参数激励 微弱谐和信号 信号检测 

分 类 号：TN97[电子电信—信号与信息处理]