Abstract：It is found that changes both of the frequency of measured signal and interference noise could cause the change of interval of intermittent chaos.The correlation between the frequency of the measured signal and the interference noise on the intermittent chaotic characteristics is analyzed through simulation experiments.The effects on the intermittent chaotic characteristics by the frequency and the phase angle of the measured signal are analyzed theoretically.A method for measuring the signals of unknown frequency in noisy environment by using intermittent chaotic characteristic changes is proposed.Experiments are designed to detect the frequency of acoustic signals in both noisy and noiseless environments.The experiments show that the detection of the signals of unknown frequency by intermittent chaos in noise by the Liu-cos chaotic system is better than that by Duffing chaotic system.
刘剑鸣,冯松鹤,任丽娜,刘福才. 利用间歇混沌检测含噪未知频率信号的研究[J]. 计量学报, 2019, 40(3): 472-476.
LIU Jian-ming,FENG Song-he,REN Li-na,LIU Fu-cai. Study on Using Intermittent Chaos to Detect Unknown Frequency Signal in Noise. Acta Metrologica Sinica, 2019, 40(3): 472-476.
［1］Wang G, Chen D, Lin J, et al. The application of chaotic oscillators to weak signal detection［J］. IEEE transactions on industrial electronics,1999,46(2):440-444.
［2］赖志慧,冷永刚,孙建桥,等. 基于Duffing振子的变尺度微弱特征信号检测方法研究［J］.物理学报, 2012, 61(5): 050503.
Lai Z H, Leng Y G, Sun J Q, et al. Weak characteristic signal detection based on scale transformation of duffing oscillator［J］.Acta phys sin, 2012, 61(5): 050503.
［3］孟玲玲,宋艳君,王晓东. 基于变形Lorenz系统和李雅普诺夫指数的微弱周期信号检测［J］.计量学报, 2012, 33(6): 559-564.
Meng L L, Song Y J, Wang X D. Weak periodic signal detection based on a deformable lorenz detection system and the maximum lyapunov exponent［J］. Acta metrologica sinica, 2012, 33(6): 559-564.
［4］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.
Chen Z Y, Chen Z, Zhang H. Parameter estimation and noise filter in chaotic measurement［J］.Acta Metrologica Sinica, 2013, 34(5): 497-501.
［5］时培明,孙彦龙,韩东颖. 基于双耦合混沌振子变尺度微弱信号检测方法研究［J］. 计量学报, 2016, 37(3): 310-31.
Shi P M,Sun Y L,Han D Y. Study on variable scale weak signal detection method based on two coupled chaotic oscillator［J］. Acta metrologica sinica, 2016, 37(3): 310-313.
［6］丛超,李秀坤,宋扬.一种基于新型间歇混沌振子的舰船线谱检测方法［J］. 物理学报,2014,63(6):164-175.
Cong C,Li X K,Song Y. A method of detecting line spectrum of ship-radiated noise using a new intermittent chaotic oscillator［J］. Acta phys sin, 2014, 63(6): 064301.
［7］王慧武,丛超. 一种基于Duffing系统的信号检测与参数估计新方法［J］. 电子学报, 2016, 44(6):1450-1457.
Wang H W, Cong C. A New Signal Detection and Estimation Method by Using Duffing System［J］. Acta Electonica Sinica, 2016, 44(6):1450-1457.
［8］陈志光, 李亚安, 陈晓. 基于Hilbert变换及间歇混沌的水声微弱信号检测方法研究［J］.物理学报, 2015, 64(20):200502.
Chen Z G, Li Y A, Chen X. Underwater acoustic weak signal detection based on Hilbert transform and intermittent chaos［J］. Acta physica sinica, 2015, 64(20): 200502.
［9］王发强,刘崇新. Liu混沌系统的线性反馈同步控制及电路实验的研究［J］.物理学报, 2006, 55(10): 5060.
Wang F Q,LIiu C X. Synchronization of Liu chaotic system based on linear feedback control and its experimental verification［J］. Acta phys sin, 2006, 55(10): 5055-5060.
［10］许喆,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): 139.
Xu Z,Liu C X,Yang T. Study on a new chaotic system with analysis and circuit experiment［J］.Acta phys sin, 2010, 59(1): 131-139.
［11］孟玲玲,宋艳君,王晓东.基于变形Lorenz系统微弱周期信号频率检测新方法［J］. 计量学报,2013,34 (5):480-485.
Meng L L, Song Y J, Wang X D. New method of weak periodic signal frequency detection based on a deformable Lorenz system［J］.Acta metrologica snica, 2013, 34(5): 480-485.
［12］刘剑鸣,杨霞,高跃龙,等.类Liu系统在水声微弱信号检测中的应用研究［J］. 物理学报,2016,65(7):070501.
Liu J M,Yang X,Gao Y L,et al.
Application of similar Liu system in underwater weak
signal detection［J］. Acta physica sinica, 2016,65(7):
070501.
［13］刘剑鸣,杨霞,宋菲菲,等.五种新混沌弱信号检测系统设计［J］.计量学报, 2016,37(5):525-530.
Liu J M,Yang X,Song F F,et al. The design of five new chaotic systems on weak signal detection［J］. Acta metrologica sinica,2016,37(5): 525-530.
［14］刘剑鸣,习敬伟. Liu-cos混沌系统在声波弱信号检测中的应用［J］. 计量学报, 2018, 39(3): 386-39.
Liu J M,Xi J W. Liu-cos whaotic system and its application in acoustic weak signal detection［J］. Acta metrologica sinica, 2018, 39(3): 386-391.
［15］刘剑鸣. 带有余弦函数的三维混沌弱信号检测系统及电路实现［J］.计量学报, 2019, 40(2): 306-314.
Liu J M. Three Dimensional Chaotic Weak Signal Detection System with cos Function and its Circuit Implementation［J］. Acta Metrologica Sinica, 2019, 40(2): 306-314.
2019, Vol. 40 
