Abstract:To further improve the ability on weak signal detection with chaotic system, the five new high-sensitive complex chaotic systems on weak signal detection are designed. The comparative analysis of one of them with the widely used Duffing chaotic weak signal detection system are done. The finding is that the new complex chaotic system is likely to overcome the three widely appeared problems when using the Duffing system, which are: the chaotic state usually cannot quickly and automatically resume after the detected signal disappears, the large periodic state is instable, and it is difficult to distinguish the chaotic state from the periodic state. Analysis by using Jacobian matrix and characteristic equation shows that the new complex chaotic systems are more effective than the Duffing chaotic system. Compared with the traditional weak signal detection method, the new complex chaotic systems are preferable with their simpler circuit design, the lower SNR and lower detection threshold. The results of theoretical analysis and experiment show the features of the new complex chaotic systems.
刘剑鸣,杨霞,宋菲菲,刘福才. 5种新混沌弱信号检测系统设计[J]. 计量学报, 2016, 37(5): 525-530.
LIU Jian-ming,YANG Xia,SONG Fei-fei,LIU Fu-cai. The Design of Five New Chaotic Systems on Weak Signal Detection. Acta Metrologica Sinica, 2016, 37(5): 525-530.
[1]王金铭,沈东方,方建晓.一种提高混沌测量精度的新方法[J].计量学报,2008,29(2):164-167.
[2]聂春燕.混沌系统在弱信号检测中的应用[J].传感器技术,2003,22(1):55-57.
[3]陈仲永,陈琢,张宏.混沌测量中的参数估计与噪声过滤[J].计量学报,2013,34(5):497-501.
[4]孟玲玲,宋艳君,王晓东.一种变形Lorenz系统的混沌特性研究[J].信号处理,2011,27(5):776-780.
[5]王梦蛟,曾以成,谢常清,等.Chen系统在微弱信号检测中的应用[J].物理学报,2012,61(18):52-56.
[6]范兴华,田立新. Lü混沌系统的反馈控制与动态控制方法[J].江苏大学学报,2005,26(6):74-78.
[7]徐喆,刘崇新,杨韬.一种新型混沌系统的分析及电路实现[J].物理学报,2010,59(1):131-132.
[8]王冠宇,陈大军,林建亚,等. Duffing振子微弱信号检测方法的统计特性研究[J].电子学报,1998,26(10):38-44.
[9]Zhang X Y,Guo H X,Wang B H,et al.A new method for detecting line spectrum of ship radiated noise using Duffing oscillator[J]. Chinese Science Bulletin,2007,52(14):1906-1912.
[10]Fu Y Q,Wu D M,Zhang L,et al. A circular zone partition method for identifying Duffing oscillator state transition and its application to BPSK signal demodulation[J].Sci China Inf Sci, 2011,54(2):1274-1282.
[11]路鹏,李月.微弱正弦信号幅值混沌检测的一种改进方案[J].电子学报,2005,33(3):527-529.
[12]李月,徐凯,杨宝俊.混沌振子系统周期解几何特征量分析与微弱周期信号的定量检测[J].物理学报,2008,57(6):3353-3358.
[13]聂春燕.混沌系统与弱信号检测[M].北京:清华大学出版社,2009.
[14]刘海波,吴德伟,戴传金,等.基于Duffing振子的弱正弦信号检测方法研究[J].电子学报,2013,41(1):8-12.
[15]吴德伟,金伟,王永庆.Duffing振子微弱信号检测方法研究[J].物理学报,2013,62(5):42-47.