基于Duffing振子的噪声背景下微弱周期信号检测

作者：叶亦能，王林泽 日期：2009-04-21/span> 浏览：3451 查看PDF文档

基于Duffing振子的噪声背景下微弱周期信号检测

叶亦能，王林泽
（杭州电子科技大学 计算机学院，浙江 杭州 310018）

摘要：为有效地实现噪声背景下弱信号的提取,阐述了间歇混沌模型Duffing振子的混沌特性。利用Duffing振子对微弱信号具有敏感性、对噪声与频率差较大的周期干扰信号具有免疫力的特性，研究了基于Duffing振子在噪声条件下检测微弱周期信号、复合频率信号和未知频率信号的方法，用数值仿真验证了该方法的可行性。研究结果表明，基于Duffing振子的信号检测方法对极微弱周期信号检测有其独到的优势，其频率误差率在控制范围之内。
关键词：混沌；Duffing方程；大尺度周期状态
中图分类号：TN911.23文献标识码：A文章编号：1001-4551(2009)04-0097-04

Weak periodic signal detection under the background of the noise based on Duffing oscillator
YE Yi-neng, WANG Lin-ze
(School of Computer, Hangzhou Dianzi University, Hangzhou 310018, China)
Abstract: The chaos characteristic of the intermittent Duffing oscillator model was analyzed, for extracting weak signals in noise effectively. Duffing oscillator is sensitive to weak signal and immune against the noise and the periodic interference signal having larger frequency difference. According to this characteristic, the method of detecting the weak periodical signals, complex-frequency signals, and unknown frequency signals in noise was studied based on characteristic of the Duffing oscillator. And the feasibility of the method was analyzed by the numerical simulation. Results show that the Duffing oscillator has the obvious advantage for detecting weak periodical signals, and the error rate of frequency is in the range of controlling.
Key words: chaos; Duffing equation; large-scale periodic state
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