测量任意周期信号的混沌解判定  

Determining Chaotic Solution to Measure Arbitrary Periodic Signals

作　　者：聂春燕[1,2] 石要武[1] 衣文索[1] 

机构地区：[1]吉林大学通信工程学院 [2]长春大学电子信息工程学院,长春130022

出　　处：《电子测量与仪器学报》2005年第4期12-14,共3页Journal of Electronic Measurement and Instrumentation

基　　金：为吉林省科技厅自然科学基金资助项目(批准号:20030519)。

摘　　要：以杜芬方程为例,在分析此混沌系统的动力学特性的基础上,提出了一种新方法将现代谱估计方法与著名混沌系统(杜芬振子系统)构成混合检测系统,共同检测微弱正弦信号方案,结果表明此方法在估计正弦信号时,幅度测量精度得到提高,同时将梅尔尼科夫方法应用到混沌系统中,得出在测量任意周期信号时,此混沌系统出现混沌现象的阀值。通过正弦波和方波对此判据的验证,结果表明此判据是有效的,虽然存在一定误差,但在缩小范围后,准确性可大大提高。Take an example of Duffing equation, on the basis of analyzing dynamics characters of chaos system, a new method is presented to determine the amplitude of a weak signal, namely, modern spectrum estimation first is combined with famous chaotic system, which constitute mixed system to measure weak sine signal. The simulation results are given. It is shown that the measuring accuracy to estimate sine signal is improved, which is one of effect methods to measure weak signals further more. Melnikov method is applied to Duffing equitation. Threshold of chaotic system, which appears chaos are acquired when arbitrary periodic signals are measured. Sine wave and square wave are used to test these chaos criterions. The results show the criterions are effective. Although there are small errors, the accuracy is improved when the range is shrunk..

关 键 词：混沌 微弱信号 现代谱估计 梅尔尼科夫方法 判据 测量精度 周期信号 混沌解 微弱正弦信号 谱估计方法 

分 类 号：O415.5[理学—理论物理] TN911.6[理学—物理]