吉林大学学报(工学版) ›› 2018, Vol. 48 ›› Issue (4): 1282-1290.doi: 10.13229/j.cnki.jdxbgxb20170314

Previous Articles     Next Articles

Reverse-joint signal detection model with double Duffing oscillator

YAO Hai-yang1,2, WANG Hai-yan1,2, ZHANG Zhi-chen1,2, SHEN Xiao-hong1,2   

  1. 1.Key Laboratory of Ocean Acoustics and Sensing, Ministry of Industry and Information Technology, Northwestern Polytechnical University,Xi'an 710072,China;
    2.School of Marine Science and Technology, Northwestern Polytechnical University,Xi'an 710072,China
  • Received:2017-04-16 Online:2018-07-01 Published:2018-07-01

Abstract: Three efficient methods are proposed to solve three key problems in Duffing oscillator detection system, including the system perturbation by input noise, the synchronization of phase position of driving force and target signal, and the judgment of system output state. First, a reverse phase change method based on the critical threshold dictionary is proposed, where the dictionary is built on the monotonic property of the critical threshold with the change of noise intensity, so that the input signal perturbation is reduced efficiently under low Signal to Noise Ratio (SNR). Second, a double system joint detection method is proposed to solve the problem of phase position synchronization of driving force and target signal. Third, a state of system motion judgment method based on output phase space graph representation is proposed and its feasibility is proved mathematically. The embedded representation of the detection results is fulfilled with low computation and high precision. Finally, the Duffing oscillator detection model suitable to engineering practice is built under low SNR, by which the lowest detection SNR is reduced significantly with constant detection probability.

Key words: information processing technology, Duffing oscillator, signal detection, reverse phase change, joint detection with double systems, point set topological

CLC Number: 

  • TN911.72
[1] 高晋占. 微弱信号检测[M]. 北京:清华大学出版社, 2004:19-24.
[2] 周凯波, 豆成权, 陈涛. 两种微弱正弦信号检测方法比较研究[J]. 武汉理工大学学报: 信息与管理工程版, 2007, 29(4): 53-55.
Zhou Kai-bo, Dou Cheng-quan, Chen Tao.A comparative study on two methods of weak signal detection[J]. Journal of Wuhan University of Technology(Information &Management Engineering), 2007, 29(4): 53-55.
[3] 聂春燕. 混沌系统与弱信号检测[M]. 北京:清华大学出版社, 2009:5-6.
[4] Birx D L, Pipenberg S J.Chaotic oscillators and complex mapping feed forward networks (CMFFNS) for signal detection in noisy environments[C]∥International Joint Conference on Neural Networks, Baltimore, Maryland, USA, 1992: 881-888.
[5] Belhaq M, Houssni M.Suppression of chaos in averaged oscillator driven by external and parametric excitations[J]. Chaos Solitons & Fractals, 2000, 11(8):1237-1246.
[6] 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.
Liu Hai-bo,Wu De-wei,Dai Chuan-jin, et al.A new weak sinusoidal signal detection method based on Duffing oscillators[J]. Acta Electronica Sinica, 2013, 41(1):8-12.
[7] 翟笃庆, 刘崇新, 刘尧,等. 利用阵发混沌现象测定未知信号参数[J]. 物理学报, 2010, 59(2):816-825.
Zhai Du-qing, Liu Chong-xin, Liu Yao, et al.Determination of the parameters of unknown signals based on intermittent chaos[J]. Acta Physica Sinica, 2010, 59(2):816-825.
[8] 冀常鹏, 郭伟平, 姬红红.混沌振子微弱未知信号检测方法的改进[J]. 噪声与振动控制, 2013(4):207-211.
Ji Chang-peng, Guo Wei-ping, Ji Hong-hong.Improvement of unknown weak-signal detection method based on Duffing chaotic oscillator[J]. Noise and Vibration Control, 2013(4):207-211.
[9] 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):60-68.
Lai Zhi-hui, Leng Yong-gang, Sun Jian-qiao,et al.Weak characteristic signal detection based on scale transformation of Duffing oscillator[J]. Acta Physica Sinica, 2012, 61(5):60-68.
[10] 李月, 杨宝俊, 石要武. 用特定的混沌系统检测弱周期脉冲信号[J]. 仪器仪表学报, 2002, 23(增刊1):35-36.
Li Yue, Yang Bao-jun, Shi Yao-wu.The detection of weak periodic impulse using the special chaotic system[J]. Chinese Journal of Scientific Instrument, 2002, 23(Sup.1):35-36.
[11] 刘海波, 吴德伟, 金伟,等. Duffing振子微弱信号检测方法研究[J]. 物理学报, 2013,62(5):50501.
Liu Hai-bo, Wu De-wei, Jin Wei,et al.Study on weak signal detection method with Duffing oscillators[J]. Acta Physica Sinica, 2013,62(5):50501.
[12] 王永生, 姜文志, 赵建军,等. 一种Duffing弱信号检测新方法及仿真研究[J]. 物理学报, 2008,57(4):2053-2059.
Wang Yong-sheng, Jiang Wen-zhi, Zhao Jian-jun,et al.A new method of weak signal detection using Duffing oscillator and its simulation research[J]. Acta Physica Sinica, 2008,57(4):2053-2059.
[13] 罗志才, 林旭, 周波阳. 自协方差最小二乘噪声估计的改进算法[J]. 武汉大学学报:信息科学版, 2012, 37(10):1164-1167.
Luo Zhi-cai, Lin Xu, Zhou Bo-yang.Improved algorithm of auto covariance least-squares noise estimation[J]. Geomatics and Information Science of Wuhan University, 2012, 37(10):1164-1167.
[14] Rajamani M R.Data-based techniques to improve state estimation in model predictive control[D]. Madison: University of Wisconsin-Madison, 2007.
[15] 尚秋峰, 尹成群, 李士林,等. 基于Duffing振子的微弱正弦信号检测方法研究[J]. 中国电机工程学报, 2005, 25(2):66-70.
Shang Qiu-feng, Yin Cheng-qun, Li Shi-lin,et al.Study on detection of weak sinusoidal signal by using Duffing oscillator[J]. Proceedings of the CSEE, 2005, 25(2):66-70.
[16] 李月, 石要武, 马海涛,等. 湮没在色噪声背景下微弱方波信号的混沌检测方法[J]. 电子学报, 2004, 32(1):87-90.
Li Yue, Shi Yao-wu, Ma Hai-tao, et al.Chaotic detection method for weak square wave signal submerged in colored noise[J]. Acta Electronica Sinica, 2004, 32(1):87-90.
[17] 刘丁, 任海鹏, 李虎明. 基于Lyapunov指数的弱周期信号检测[J]. 仪器仪表学报, 2005, 26(12):1215-1218.
Liu Ding, Ren Hai-peng, Li Hu-ming.Weak signal detection based on Lyapunov exponents[J]. Chinese Journal of Scientific Instrument, 2005, 26(12):1215-1218.
[18] 谢涛, 魏学业, 于蓉蓉,等. 基于差分Poincaré映射的间歇混沌信号判别方法[J]. 北京交通大学学报, 2009, 33(5):20-24.
Xie Tao, Wei Xue-ye, Yu Rong-rong,et al.A method of intermittent chaotic signal identification based on the difference poincaré mapping[J]. Journal of Beijing Jiaotong University, 2009, 33(5):20-24.
[19] Mickens R E.Oscillations in Planar Dynamic Systems[M]. New York: World Scientific, 1996.
[20] 熊金成. 点集拓扑讲义[M]. 北京:高等教育出版社, 2003: 203-204.
[1] YING Huan,LIU Song-hua,TANG Bo-wen,HAN Li-fang,ZHOU Liang. Efficient deterministic replay technique based on adaptive release strategy [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1917-1924.
[2] LIU Zhong-min,WANG Yang,LI Zhan-ming,HU Wen-jin. Image segmentation algorithm based on SLIC and fast nearest neighbor region merging [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1931-1937.
[3] SHAN Ze-biao,LIU Xiao-song,SHI Hong-wei,WANG Chun-yang,SHI Yao-wu. DOA tracking algorithm using dynamic compressed sensing [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1938-1944.
[4] QUAN Wei, HAO Xiao-ming, SUN Ya-dong, BAI Bao-hua, WANG Yu-ting. Development of individual objective lens for head-mounted projective display based on optical system of actual human eye [J]. 吉林大学学报(工学版), 2018, 48(4): 1291-1297.
[5] CHEN Mian-shu, SU Yue, SANG Ai-jun, LI Pei-peng. Image classification methods based on space vector model [J]. 吉林大学学报(工学版), 2018, 48(3): 943-951.
[6] CHEN Tao, CUI Yue-han, GUO Li-min. Improved algorithm of multiple signal classification for single snapshot [J]. 吉林大学学报(工学版), 2018, 48(3): 952-956.
[7] MENG Guang-wei, LI Rong-jia, WANG Xin, ZHOU Li-ming, GU Shuai. Analysis of intensity factors of interface crack in piezoelectric bimaterials [J]. 吉林大学学报(工学版), 2018, 48(2): 500-506.
[8] LIN Jin-hua, WANG Yan-jie, SUN Hong-hai. Improved feature-adaptive subdivision for Catmull-Clark surface model [J]. 吉林大学学报(工学版), 2018, 48(2): 625-632.
[9] WANG Ke, LIU Fu, KANG Bing, HUO Tong-tong, ZHOU Qiu-zhan. Bionic hypocenter localization method inspired by sand scorpion in locating preys [J]. 吉林大学学报(工学版), 2018, 48(2): 633-639.
[10] YU Hua-nan, DU Yao, GUO Shu-xu. High-precision synchronous phasor measurement based on compressed sensing [J]. 吉林大学学报(工学版), 2018, 48(1): 312-318.
[11] WANG Fang-shi, WANG Jian, LI Bing, WANG Bo. Deep attribute learning based traffic sign detection [J]. 吉林大学学报(工学版), 2018, 48(1): 319-329.
[12] LIU Dong-liang, WANG Qiu-shuang. Instantaneous velocity extraction method on NGSLM data [J]. 吉林大学学报(工学版), 2018, 48(1): 330-335.
[13] TANG Kun, SHI Rong-hua. Detection of wireless sensor network failure area based on butterfly effect signal [J]. 吉林大学学报(工学版), 2017, 47(6): 1939-1948.
[14] LI Juan, MENG Ke-xin, LI Yue, LIU Hui-li. Seismic signal noise suppression based on similarity matched Wiener filtering [J]. 吉林大学学报(工学版), 2017, 47(6): 1964-1968.
[15] YANG Chao-yu, LI Ce, LIANG Yin-cheng, YANG Feng. Blurred object detection based on improved particle filter in coal mine underground surveilance [J]. 吉林大学学报(工学版), 2017, 47(6): 1976-1985.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] PENG Qi-yuan,XU Jin,ZHENG Sheng-bao,SHAO Yi-ming,DENG Tian-min. Effect of road pavement material change at tunnel entrance and exit on vehicle operation and optimization of transition location[J]. 吉林大学学报(工学版), 2009, 39(06): 1497 -1503 .
[2] WANG Xin,JIANG Ji-hai. Regenerative braking control strategy for wheel drive hydraulic hybrid vehicle[J]. 吉林大学学报(工学版), 2009, 39(06): 1544 -1549 .
[3] WU Jian,DONG Hui-juan,ZHANG Song-bai,ZHANG Guang-yu. Novel primary series matching scheme for piezoelectric ultrasonic transducer[J]. 吉林大学学报(工学版), 2009, 39(06): 1641 -1645 .
[4] ZHENG Wen-Zhong, WAN Fu-Xiong, LI Shi-Guang. Mechanical performance of reinforced concrete slabs strengthened with CFRP sheets bonded with an inorganic adhesive after fire[J]. 吉林大学学报(工学版), 2010, 40(05): 1244 -1249 .
[5] LIU Song-shan, WANG Qing-nian, WANG Wei-hua, LIN Xin. Influence of inertial mass on damping and amplitude-frequency characteristic of regenerative suspension[J]. 吉林大学学报(工学版), 2013, 43(03): 557 -563 .
[6] CHU Liang, WANG Yan-bo, QI Fu-wei, ZHANG Yong-sheng. Control method of inlet valves for brake pressure fine regulation[J]. 吉林大学学报(工学版), 2013, 43(03): 564 -570 .
[7] LI Jing, WANG Zi-han, YU Chun-xian, HAN Zuo-yue, SUN Bo-hua. Design of control system to follow vehicle state with HIL test beach[J]. 吉林大学学报(工学版), 2013, 43(03): 577 -583 .
[8] ZHU Jian-feng, LIN Yi, CHEN Xiao-kai, SHI Guo-biao. Structural topology optimization based design of automotive transmission housing structure[J]. 吉林大学学报(工学版), 2013, 43(03): 584 -589 .
[9] HU Xing-jun, LI Teng-fei, WANG Jing-yu, YANG Bo, GUO Peng, LIAO Lei. Numerical simulation of the influence of rear-end panels on the wake flow field of a heavy-duty truck[J]. 吉林大学学报(工学版), 2013, 43(03): 595 -601 .
[10] WANG Tong-jian, CHEN Jin-shi, ZHAO Feng, ZHAO Qing-bo, LIU Xin-hui, YUAN Hua-shan. Mechanical-hydraulic co-simulation and experiment of full hydraulic steering systems[J]. 吉林大学学报(工学版), 2013, 43(03): 607 -612 .