基于稀疏分解和混沌理论的微弱信号检测
doi :10.3969/j.issn.1001-893x.2015.11.002
引用格式:徐一红,祝长生,赵耀培.基于稀疏分解和混沌理论的微弱信号检测[J].电讯技术,2015,55(11):1194-1199.[XU Yihong,ZHU Changsheng,ZHAO Yaopei.Weak Signal Detection Based on Sparse Decomposition and Chaotic Theory[J].Telecommunication Engineering,
2015,55(11):1194-1199.]基于稀疏分解和混沌理论的微弱信号检测
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徐一红1,**,祝长生2,赵耀培1(1.山东管理学院机电学院,济南250100;2.山东科技大学机电工程系,山东青岛266590)
摘 要:针对数字锁定放大器中稀疏分解算法检测精度受限的缺点,结合非线性方法进行补偿,采用混沌检测联合稀疏分解的算法设计了数字锁定放大器三数字锁定放大器借助稀疏分解算法估计信号参数,根据估计得到的参数设计对应混沌系统;利用混沌系统检测信号的过程中产生间歇性混沌状态,并通过测量间歇性混沌状态的周期,精确检测信号三最终,在信号的信噪比低至-20dB 时可以成功检测信号,频率精度达到0.05Hz ,提供了一种非线性微弱信号检测方法三
关键词:非线性微弱信号检测;稀疏分解;混沌系统;数字锁定放大器
中图分类号:TN911.23 文献标志码:A 文章编号:1001-893X (2015)11-1194-06
Weak Signal Detection Based on Sparse Decomposition and Chaotic Theory
XU Yihong 1,ZHU Changsheng 2,ZHAO Yaopei 1(1.Mechanical and Electrical Engineering School,Shandong Institute of Management,Jinan 250100,China;2.Mechanical and Electrical Engineering Department,Shandong University of Science and Technology,Qingdao 266590,China)Abstract :For the disadvantage of high computational complexity in sparse decomposition algorithm,the digital lock-in amplifier based on non-linear method and chaos detection joint sparse decomposition algo-rithm is designed.With the help of sparse decomposition algorithm,the digital lock-in amplifier estimates the signal parameters and according to the estimated parameters corresponding chaotic systems are de-signed.The intermittent chaos state in the process of chaotic oscillator and its period are used to detect sig-nals.The precision of frequency is up to 0.05Hz when the signal-to-noise ratio(SNR)is low to -20dB,so this paper provides a nonlinear method of weak signal detection.Key words :non-linear weak signal detection;sparse decomposition;chaotic system;digital lock-in amplifier
1 引 言
微弱信号检测广泛应用于通信二医学二导航和电
子技术等领域,并且在信号处理方面一直是研究的热
点和难点三锁定放大器(Lock-In Amplifier)作为微弱信号检测领域的一种有效方法,能够很好地解决噪声干扰问题三国内外早期进行的研究主要针对模拟型锁定放大器,但这种放大器通常会受到来自模拟器件的限制,造成在积分上时间较短二频率相同等不容易四4911四第55卷第11期2015年11月电讯技术Telecommunication Engineering Vol.55,No.11November,2015***收稿日期:2015-02-10;修回日期:2015-05-11 Received date :2015-02-10;Revised date :2015-05-11基金项目:山东省高校科技发展计划项目(J13LC51);山东省科技厅项目(2011XH17006);济南市高校院所自主创新计划项目(201401213)Foundation Item :The Science &Technology Development Program of Higher Education of Shandong Province (J13LC51);Foundation of De-partment of Science and Technology of Shandong Province (2011XH17006);Independent Innovative Program of Higher Edu-cation of Jinan (201401213)通讯作者:xu yihong123@https://www.wendangku.net/doc/3b15463283.html, Corresponding author :xu yihong123@https://www.wendangku.net/doc/3b15463283.html,