混沌振子系统周期解几何特征量分析与微弱周期信号的定量检测  

Analysis of the geometric characteristic quantity of the periodic solutions of the chaotic oscillator system and the quantitative detection of weak periodic signal

作　　者：李月[1] 徐凯[1] 杨宝俊[2] 袁野[1] 吴宁[1] 

机构地区：[1]吉林大学信息工程系,长春130012 [2]吉林大学地球物理系,长春130026

出　　处：《物理学报》2008年第6期3353-3358,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:40574051和40774054);吉林省科技发展计划项目(批准号:20050526)资助的课题~~

摘　　要：提出了一种对微弱周期信号的定量检测方法.分析混沌振子系统在大尺度周期状态下的相对稳定输出时,发现了混沌振子系统输出周期解的平均面积是一个比较稳定的几何特征量.该几何特征量与待测信号幅值之间存在比较稳定的单调递增关系.在一定的参数条件下,几何特征量精度可达到10-6V2.利用混沌系统对随机噪声信号的免疫性和对微弱周期信号的敏感性,进一步建立了微弱周期信号的定量检测方法.仿真实验表明,随着待检测幅度的增加,在保证检测精度的同时,抗噪性能也随之增强.We proposed a quantitative detection method for weak periodic signal in this paper. A result is obtained when analyzing the stable output of chaotic oscillator system in the large-scale periodic state, which shows that the average area of the periodic solution of the chaotic oscillator system is a steady geometric characteristic quantity of periodic solutions of the chaotic oscillator system. There is a steadily and monotonically increasing relation between the average area and the amplitude to be detected. When some parameters are defined, the precision of the geometric characteristic quantity can reach 10-6V2. The further quantitative detection of weak signals is built based on the two characteristics of the chaos system, namely the immunity to noise and sensitivity to weak signal. The simulation experiments shown that the immunity to noise will be enhanced along with the increase of amplitude detected while the precision can be guaranteed.

关 键 词：混沌振子系统 大尺度周期相态 周期解的几何特征量 微弱周期信号的定量检测 

分 类 号：TN911[电子电信—通信与信息系统]