待测信号线性驱动Duffing振子弱信号检测系统

发布时间：2018-05-21 09:55

本文选题：Duffing振子 + 混沌　；参考：《中南大学学报(自然科学版)》2017年03期

【摘要】：针对周期驱动的Duffing振子微弱信号检测系统存在临界阈值影响信号检测精度和对待检测信号频率分辨率不高的问题,提出一种以待检测信号为驱动力的Duffing振子线性驱动弱信号检测系统。该系统以待测信号作为系统线性驱动信号,利用系统线性驱动参数的微小变化会导致系统输出状态发生改变的特性,对淹没在背景噪声中的弱信号进行检测。同时,通过计算系统的梅尔尼科夫函数和最大李氏指数,并结合系统相轨迹状态的变化,对该系统检测信号的可行性进行分析。研究结果表明:该检测系统大大提高了对微弱信号频率的分辨能力;检测精度可达10~(-4),即谐波信号频率与驱动力频率之间的相对偏差|ω-ω_1|/ω达10~(-4)时依然可以检测;增强系统对噪声有免疫能力,同时可消除临界阈值对系统检测精度的影响,提高系统检测效率。
[Abstract]:For the periodic driven Duffing oscillator weak signal detection system, the critical threshold affects the detection accuracy and the frequency resolution of the signal is not high. A Duffing oscillator linearly driven weak signal detection system is proposed. The system takes the signal to be tested as the linear driving signal of the system. The weak signal submerged in the background noise is detected by the small change of the system linear driving parameters which will lead to the change of the output state of the system. At the same time, the feasibility of detecting the signal of the system is analyzed by calculating the Melnikov function and the maximum Lee exponent of the system, and combining with the change of the phase locus state of the system. The results show that the detection system can improve the resolution of weak signal frequency greatly, and can still be detected when the detection accuracy is up to 10 ~ (-4), that is, the relative deviation between harmonic signal frequency and driving frequency is 蠅-蠅 _ S _ 1 / 蠅 ~ (10) ~ (-4). Enhancing the immune ability of the system to noise, eliminating the influence of the critical threshold on the detection accuracy of the system, and improving the detection efficiency of the system.
【作者单位】：中南大学物理与电子学院;中南大学先进材料超微结构与超快过程研究所;中南大学湘雅三医院;
【基金】：国家自然科学基金资助项目(61172047,11204263) 湖南省科研条件创新专项(2011TT1009)~~
【分类号】：TN911.23

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