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考虑噪声影响的Duffing振子弱周期信号检测 被引量:6

Weak Period Signal Detection Through Duffing Oscillator by Considering Noise Effect
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摘要 利用计算机仿真研究混沌弱信号检测。指出了用于弱信号检测的Duffing系统是连续系统,研究了适于连续系统仿真的输入噪声生成方法。分析了计算步长对Duffing系统运动状态仿真结果的影响。探讨了仿真计算应采用的合理步长。接着分析输入噪声对系统临界状态运动的影响,重点研究在典型强度背景噪声下系统弱信号检测性能。通过估计最小能够检测幅值分析检测信噪比。最后提出一种实用的弱信号检测方法。 The chaos weak signal detection is researched using the computer simulation. The Duffing oscillator system is a nonlinear continuous dynamical system, and the inputting white noise is always the continuous noise. So the inputting stochastic sequence expression is deduced, and it is substituted by the continuous white noise when simulating the continuous system. The effect of the calculational step on the last movement states of Duffing system is analyzed. The reasonable step is discussed for studying the weak signal detection by simulation. After analyzing the inputting noise with different power effects on the system critical state, the relation between the system state and the periodical driver force is researched, and the detecting SNR is estimated by computing the minimum amplitude of the periodical sine signal. Finally, a practical weak signal detection method is presented.
出处 《数据采集与处理》 CSCD 北大核心 2008年第B09期127-130,共4页 Journal of Data Acquisition and Processing
关键词 混沌 DUFFING振子 信号检测 白噪声 chaos Duffing oscillator signal detection white noise
作者简介 王永生(1978-),男,博士,讲师,研究方向:信号检测,雷达信号处理,E—mail:hjhywys@sohu.com; 范洪达(1940-),男,教授,博士生导师,研究方向:通讯与信息系统,C3I综合数据处理等。
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