基于Poincare截面的微弱信号定量检测与幅值参数提取

doi:10.3969/j.issn.1001-506X.2020.06.02

Abstract

Abstract:

In order to solve the problem of quantitative detection of weak signals, the detection statistics based on the Poincare section is proposed. An effective quantitative detection method based on the Duffing oscillator is designed, and the amplitude parameters can be extracted with this method. By analyzing the Poincare section characteristics of the Duffing oscillator, it is found that different states of the system can be distinguished by the bifurcation characteristics of the system. Then, the variance statistics of the Poincare section distribution points are determined, the detection statistics and detection determination intervals are formulated to realize the quantitative detection. The simulation results show that the noise robustness of the quantitative detection method is better than that of the traditional time-domain feature detection method. Furthermore, a cyclic detection system is designed to extract the amplitude parameters and detect the unknown frequency signals. The results provide a quantitative detection approach and reference for weak signals detection based on the Duffing oscillator.

Key words: weak signal, Duffing oscillator, Poincare section, signal detection, detection statistic

CLC Number:

TN911

Yunfei LING, Changxing CHEN, Dezhi NIU, Ting CHEN. Weak signal quantitative detection and amplitude parameters extraction based on Poincare section[J]. Systems Engineering and Electronics, 2020, 42(6): 1210-1217.

Figures/Tables 11

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

References 30

1	DU L , ZHAO Y P , LEL Y M , et al. Suppression of chaos in a generalized Duffing oscillator with fractional-order deflection[J]. Nonlinear Dynamics, 2018, 92 (4): 1921- 1933.
2	CARROLL T L . Chaos for low probability of detection communications[J]. Chaos, Solitons and Fractals, 2017, 103, 238- 245. doi: 10.1016/j.chaos.2017.06.011
3	GEORGES K . Wireless chaos-based communication systems: a comprehensive survey[J]. IEEE Access, 2016, 4, 2621- 2648. doi: 10.1109/ACCESS.2016.2572730
4	COSTA R A D , LOIOLA M B , EISENCRAFT M . Correlation and spectral properties of chaotic signals generated by a piecewise-linear map with multiple segments[J]. Signal Processing, 2016, 133, 187- 191.
5	WANG X , KINGNI S T , VOLOS C , et al. A fractional system with five terms: analysis, circuit, chaos control and synchronization[J]. International Journal of Electronics, 2018, 106 (1): 109- 120.
6	ZENG T , CHANG S , FAN H , et al. Design and processing of a novel chaos-based stepped frequency synthesized wideband radar signal[J]. Sensors, 2018, 18 (4): 985- 1006. doi: 10.3390/s18040985
7	LI C , XU X , DING Y , et al. Weak photoacoustic signal detection based on the differential Duffing oscillator[J]. International Journal of Modern Physics B, 2018, 32 (9): 1850103. doi: 10.1142/S0217979218501035
8	QUAN Y , LI Y , HU W , et al. FM sequence optimisation of chaotic-based random stepped frequency signal in through-the-wall radar[J]. IET Signal Processing, 2017, 11 (7): 830- 837. doi: 10.1049/iet-spr.2015.0565
9	VAHEDI H , GHAREHPETIAN G B , KARRARI M . Application of Duffing oscillators for passive islanding detection of inverter-based distributed generation units[J]. IEEE Trans.on Power Delivery, 2012, 27 (4): 1973- 1983. doi: 10.1109/TPWRD.2012.2212251
10	KORNETA W , GOMES I . Noise activated bistable sensor based on chaotic system with output defined by temporal coding and firing rate[J]. Chaos, 2017, 27 (11): 111103. doi: 10.1063/1.5006564
11	NEZHAD S M T , NAZARI M , GHARAVOL E A . A novel DoS and DDoS attacks detection algorithm using ARIMA time series model and chaotic system in computer networks[J]. IEEE Communications Letters, 2016, 20 (4): 700- 703. doi: 10.1109/LCOMM.2016.2517622
12	WANG E , JIA C , TONG G , et al. Fault detection and isolation in GPS receiver autonomous integrity monitoring based on chaos particle swarm optimization-particle filter algorithm[J]. Advances in Space Research, 2018, 61 (5): 1260- 1272. doi: 10.1016/j.asr.2017.12.016
13	BIRX D L, PIPENBERG S J. Chaotic oscillators and complex mapping feed forward networks(CMFFNS) for signal detection in noisy environments[C]//Proc.of the International Joint Conference on Neural Networks, 1992: 881-888.
14	LI G Z , ZHANG B . A novel weak signal detection method via chaotic synchronization using Chua's circuit[J]. IEEE Trans.on Industrial Electronics, 2017, 64 (3): 2255- 2265. doi: 10.1109/TIE.2016.2620103
15	MEENAKSHI M V S , ATHISAYANATHAN S , CHINNATHAMBI V , et al. Analytical estimates of the effect of amplitude modulated signal in nonlinearly damped Duffing-van der Pol oscillator[J]. Chinese Journal of Physics, 2017, 55 (6): 2208- 2217. doi: 10.1016/j.cjph.2017.09.009
16	WANG G , CHEN D , LIN J , et al. The application of chaotic oscillators to weak signal detection[J]. IEEE Trans.on Industrial Electronics, 1999, 46 (2): 440- 444. doi: 10.1109/41.753783
17	ZHAO W , WANG L , FAN J . Theory and method for weak signal detection in engineering practice based on stochastic resonance[J]. International Journal of Modern Physics B, 2017, 31 (28): 1750212. doi: 10.1142/S0217979217502125
18	凌云飞, 陈长兴, 牛德智, 等. 双势阱Duffing-van der Pol振子微弱信号检测统计量构造[J]. 系统工程与电子技术, 2019, 41 (10): 2178- 2183. doi: 10.3969/j.issn.1001-506X.2019.10.04
	LING Y F , CHEN C X , NIU D Z , et al. Construction of weak signal detection statistics with double-well Duffing-van der Pol oscillator[J]. Systems Engineering and Electronics, 2019, 41 (10): 2178- 2183. doi: 10.3969/j.issn.1001-506X.2019.10.04
19	GOKYILDIRIM A , UYAROGLU Y , PEHLIVAN I . A novel chaotic attractor and its weak signal detection application[J]. Optik-International Journal for Light and Electron Optics, 2016, 127 (19): 7889- 7895. doi: 10.1016/j.ijleo.2016.05.150
20	RAHIMKHANI P , MOETI R . Numerical solution of the fractional order Duffing-van der Pol oscillator equation by using Bernoulli wavelets collocation method[J]. International Journal of Applied & Computational Mathematics, 2018, 4 (2): 59.
21	LIU H G , LIU X L , YANG J H , et al. Detecting the weak high-frequency character signal by vibrational resonance in the Duffing oscillator[J]. Nonlinear Dynamics, 2017, 89 (4): 2621- 2628.
22	吴彦华, 马庆力. Duffing振子微弱信号盲检测方法[J]. 系统工程与电子技术, 2017, 39 (11): 2414- 2421. doi: 10.3969/j.issn.1001-506X.2017.11.04
	WU Y H , MA Q L . Blind detection method of weak signals with Duffing oscillator[J]. Systems Engineering and Electronics, 2017, 39 (11): 2414- 2421. doi: 10.3969/j.issn.1001-506X.2017.11.04
23	LUO W M , ZHANG Y R . Non-periodic pulse signal detection based on variable scale coupled Duffing oscillators[J]. Electronics Letters, 2018, 54 (5): 280- 281. doi: 10.1049/el.2017.3676
24	牛德智, 陈长兴, 陈婷, 等. 基于短时傅里叶变换的Duffing振子微弱信号检测[J]. 航空学报, 2015, 36 (10): 3418- 3429.
	NIU D Z , CHEN C X , CHEN T , et al. Weak signal detection with Duffing oscillator based on short time Fourier transform[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36 (10): 3418- 3429.
25	HOU J , YAN X X , LI P , et al. Weak wide-band signal detection method based on small-scale periodic state of Duffing oscillator[J]. Chinese Physics B, 2018, 27 (3): 209- 219.
26	苏理云, 孙唤唤, 王杰, 等. 混沌噪声背景下微弱脉冲信号的检测及恢复[J]. 物理学报, 2017, 66 (9): 090503.
	SU L Y , SUN H H , WANG J , et al. Detection and estimation of weak pulse signal in chaotic background noise[J]. Acta Physica Sinica, 2017, 66 (9): 090503.
27	CHANG Y , HAO Y , LI C . Phase dependent and independent frequency identification of weak signals based on Duffing oscillator via particle swarm optimization[J]. Circuits, Systems and Signal Processing, 2014, 33 (1): 223- 239. doi: 10.1007/s00034-013-9629-9
28	曹保锋, 李鹏, 李小强, 等. 基于强耦合Duffing振子的微弱脉冲信号检测与参数估计[J]. 物理学报, 2019, 68 (8): 080501.
	CAO B F , LI P , LI X Q , et al. Detection and parameter estimation of weak pulse signal based on strongly coupled Duffing oscillators[J]. Acta Physica Sinica, 2019, 68 (8): 080501.
29	LING Y F , CHEN C X , NIU D Z , et al. Weak signal detection using double-well Duffing-van der Pol oscillator and formulation of detection statistics[J]. Journal of the Physical Society of Japan, 2019, 88 (4): 044001. doi: 10.7566/JPSJ.88.044001
30	牛德智, 陈长兴, 班斐, 等. Duffing振子微弱信号检测盲区消除及检测统计量构造[J]. 物理学报, 2015, 64 (6): 060503.
	NIU D Z , CHEN C X , BAN F , et al. Blind angle elimination method in weak signal detection with Duffing oscillator and construction of detection statistics[J]. Acta Physica Sinica, 2015, 64 (6): 060503.

[1]	Pu LIANG, Hongqi FAN, Qiang FU. Geometric detector for Doppler radar based on projected complementary angle [J]. Systems Engineering and Electronics, 2022, 44(6): 1854-1861.
[2]	Buhua LIU, Dan DING, Liu YANG, Naiyang XUE, Zhongqian LIU. OFDM data transmission technology of UAV based on deep neural network [J]. Systems Engineering and Electronics, 2022, 44(2): 696-702.
[3]	Yaohua XU, Chenglong ZHU, Yi WANG, Fang JANG, Mengqin DING, Huiping WANG. Neural network-based algorithm for high-parallelism massive MIMO signal detection [J]. Systems Engineering and Electronics, 2022, 44(12): 3843-3849.
[4]	Yongxing GAO, Xudong WANG, Ling WANG, Daiyin ZHU, Jun GUO, Fanwang MENG. Weather signal detection for dual polarization weather radar based on RCNN [J]. Systems Engineering and Electronics, 2022, 44(11): 3380-3387.
[5]	Huahua WANG, Yanshan LI, Yongkun YU. Generalized Turbo signal detection in MIMO-OFDM system with low resolution ADCs [J]. Systems Engineering and Electronics, 2022, 44(1): 299-306.
[6]	Ruiyang LI, Weibo HUO, Wei MA, Ziyang CHENG. Covariance matrix estimation method based on inverse Gaussian texture distribution [J]. Systems Engineering and Electronics, 2021, 43(9): 2470-2475.
[7]	Huahua WANG, Yongkun YU, Min YU. Soft output detection algorithm in MU-MIMO one-bit ADC system [J]. Systems Engineering and Electronics, 2021, 43(2): 555-560.
[8]	Jingwen LIANG, Jiang ZHU. Conjugate gradient detection algorithm based on Barzilai-Borwein in time reversal system [J]. Systems Engineering and Electronics, 2021, 43(2): 567-573.
[9]	Zhen DAI, Pingbo WANG, Liangke LOU. Cumulative distribution detector under SαS distribution [J]. Systems Engineering and Electronics, 2020, 42(1): 10-14.
[10]	MAO Hu, WU Dewei, LIU Haibo, LU Hu, LI Zhonghua. GPS military signal monitoring and parameter estimation method [J]. Systems Engineering and Electronics, 2019, 41(11): 2431-2438.
[11]	LING Yunfei, CHEN Changxing, NIU Dezhi, CHEN Ting. Construction of weak signal detection statistics with double-well Duffing-van der Pol oscillator [J]. Systems Engineering and Electronics, 2019, 41(10): 2178-2183.
[12]	LIU Xiaoxiang, ZHANG Jing. Barzilai-Borwein based signal detection algorithm for massive MIMO [J]. Systems Engineering and Electronics, 2018, 40(8): 1861-1865.
[13]	LIU Ke, WU Wenqi, TANG Kanghua, WU Zhijia, ZHANG Shihao. GNSS dual-receiver against repeater deception jamming detection algorithm based on pseudo-range information [J]. Systems Engineering and Electronics, 2017, 39(11): 2393-2398.
[14]	WU Yanhua, MA Qingli. Blind detection method of weak signals with Duffing oscillator [J]. Systems Engineering and Electronics, 2017, 39(11): 2414-2421.
[15]	JIN Yan, LI Shu-guang, JI Hong-bing. Detection of FH signals based on data credibility weighting in impulse noise environment [J]. Systems Engineering and Electronics, 2016, 38(9): 2171-2178.

Weak signal quantitative detection and amplitude parameters extraction based on Poincare section

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 11

References 30

Related Articles 15

Recommended Articles

Metrics

Comments