基于混沌自适应烟花算法的雷达信号盲源分离

doi:10.3969/j.issn.1001-506X.2020.11.11

Abstract

Abstract:

Aiming at the problem of slow speed on convergence and poor separation perfomance for the method of traditional independent component analysis (ICA). The strategy on chaotic maps strategy are combined with an adaptive explosion radius, and a kind of chaotic adaptive fireworks algorithm (CAFWA) based blind source separation (BSS) method is proposed, and applied into the sorting problem of radar emitter mixed signal. The chaotic maps strategy can distribute the initial value more evenly in the solution space, and the explosion radius can be changed adaptively according to the advantages and disadvantages of fitness, which ensures the precision of local search for the proposed algorithm and satisfies the diversity of universal search. The experimental results show that the proposed algorithm can sort observation signals well in both noise-free and noise conditions, and has faster constriction speed and better sorting function than the traditional algorithm.

Key words: blind source separation(BSS), independent component analysis(ICA), fireworks algorithm, chaotic map

CLC Number:

TN911.7

Weilin LUO, Hongbin JIN, Hao LI, Ronghua ZHOU. Blind source separation of radar signals based on chaotic adaptive firework algorithm[J]. Systems Engineering and Electronics, 2020, 42(11): 2497-2505.

Figures/Tables 20

Fig.1

Fig.2

Table 1

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Table 2

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Fig.16

Table 3

Fig.17

References 31

1	艾小凡, 罗勇江, 赵国庆. 基于累积张量分解的雷达信号欠定盲分离算法[J]. 系统工程与电子技术, 2016, 38 (11): 2505- 2509.
	AI X F , LUO Y J , ZHAO G Q . Underdetermined blind separation of radar signals based on tensor decomposition[J]. Systems Engineering and Electronics, 2016, 38 (11): 2505- 2509.
2	WANG X , HUANG Z , ZHOU Y . Underdetermined DOA estimation and blind separation of non-disjoint sources in time-frequency domain based on sparse representation method[J]. Journal of Systems Engineering and Electronics, 2014, 25 (1): 17- 25.
3	王红卫, 范翔宇, 陈游, 等. 基于循环平稳度准则的多路雷达信号识别算法[J]. 兵工学报, 2016, 37 (4): 661- 669.
	WANG H W , FAN X Y , CHEN Y , et al. Multichannel radar signal recognition algorithm based on DCS[J]. Acta Armamentarii, 2016, 37 (4): 661- 669.
4	MAHLER V V . CPHD filtering with unknown clutter rate and detection profile[J]. IEEE Trans. on Signal Processing, 2011, 59 (8): 3497- 3513. doi: 10.1109/TSP.2011.2128316
5	GE M M, CUI G L, YU X X, et al. Main lobe jamming suppression via blind source separation[C]//Proc.of the IEEE Radar Conference, 2018: 914-918.
6	付卫红, 刘乃安, 杨小牛, 等. 基于相对梯度的鲁棒的盲源分离算法[J]. 系统工程与电子技术, 2010, 32 (2): 226- 228.
	FU W H , LIU N A , YANG X N , et al. Robust blind source separation algorithm based on relative-gradient[J]. Systems Engineering and Electronics, 2010, 32 (2): 226- 228.
7	LEE T W , GIROLAMI M , SEJNOWSKI T J . Independent component analysis using an extended informax algorithm for mixedsub-Gaussian and super-Gaussian sources[J]. Neural Computation, 1999, 11 (1): 417- 441.
8	BELL A , SEJNOW SKI T . An information-maximization approach to blind separation and blind deconvolution[J]. Neural Computation, 1995, 7 (6): 1129- 1159. doi: 10.1162/neco.1995.7.6.1129
9	AMARIS . Natural gradient works efficiently in learning[J]. Neural Computation, 1998, 10 (2): 251- 276. doi: 10.1162/089976698300017746
10	CARDOSO J F , DONOHO D L . Equivariant adaptive source separation[J]. IEEE Trans. on Signal Process, 1996, 44, 3017- 3030. doi: 10.1109/78.553476
11	CARDOSO J F , SOULOUMIAC A . Blind beamforming for non-Gaussian signals[J]. IEEE Proceedings-F, 1993, 140 (6): 362- 370.
12	HYVARINEN A , OJA E . A fast fixed point algorithm for independent component analysis[J]. Neural Computation, 1997, 9 (7): 1483- 1492. doi: 10.1162/neco.1997.9.7.1483
13	LI H , JIN H B , WANG H Z , et al. Improved adaptive holonic particle swarm optimization[J]. Mathematical Problems in Engineering, 2019, 1- 22.
14	AMREEK S , KUSUM D . Artificial bee colony algorithm with improved search mechanism[J]. Soft Computing, 2019, 23 (23): 12437- 12460. doi: 10.1007/s00500-019-03785-y
15	孙远, 杨峰, 郑晶, 等. 基于膜计算与粒子群算法的盲源分离方法[J]. 振动与冲击, 2018, 37 (17): 63- 71.
	SUN Y , YANG F , ZHENG J , et al. Blind source separation method based on membrane computing and PSO algorithm[J]. Journal of Vibration and Shock, 2018, 37 (17): 63- 71.
16	XI Z H , BIAN L J , JIN Y . A novel blind source separation method based on improved particle swarm optimization[J]. Applied Science and Technology, 2010, 37 (1): 12- 14, 22.
17	季策, 单长芳, 沙毅, 等. 基于分组简化粒子群算法的盲源分离[J]. 东北大学学报, 2018, 39 (6): 787- 791.
	JI C , SHAN C F , SHA Y , et al. Blind source separation based on grouping simplified particle swarm optimization algorithm[J]. Journal of Northeastern University, 2018, 39 (6): 787- 791.
18	LUO T H , ZHANG C . Blind source separation using the particle swarm optimization algorithm with gradient acceleration[J]. Computer Simulation, 2010, 27 (10): 112- 115.
19	WANG R J , ZHAN Y J , ZHOU H F . A class of sequential blind source separation method in order using swarm optimization algorithm[J]. Circuits Systems and Signal Processing, 2016, 35 (9): 3220- 3243. doi: 10.1007/s00034-015-0192-4
20	陈雷, 甘士忠, 张立毅, 等. 基于样条插值与人工蜂群优化的非线性盲源分离算法[J]. 通信学报, 2017, 38 (7): 36- 46.
	CHEN L , GAN S Z , ZHANG L Y , et al. Nonlinear blind source separation algorithm based on spline interpolation and artificial bee colony optimization[J]. Journal on Communications, 2017, 38 (7): 36- 46.
21	WEN G J, ZHANG C X, LIN Z R, et al. Independent component analysis based on genetical algorithms[C]//Proc.of the International Conference on Natural Computation, 2014: 214-218.
22	BOHM M , STADLTHANNER K , GRUBER P , et al. On the use of simulated annealing toautomatically assign decorrelated components in second-order blind source separation[J]. IEEE Trans. on Biomedical Engineering, 2006, 53 (5): 810- 820.
23	陈一飞.盲源分离在雷达侦察中的应用[D].西安:西安电子科技大学, 2017.
	CHEN Y F. Research on application of blind source separation in radar reconnaissance[D]. Xi'an: Xidian University, 2017.
24	COMON P . Independent component analysis, a new concept?[J]. Signal Processing, 1994, 36 (3): 287- 314.
25	HACINE G A , DERICHE M , RAVIER P , et al. A new histogram-based estimation technique of entropy and mutual information using mean equared error minimization[J]. Computers and Electrical Engineering, 2013, 39, 918- 933. doi: 10.1016/j.compeleceng.2013.02.010
26	张朝柱, 张健沛, 孙晓东. 基于自适应粒子群优化的盲源分离[J]. 系统工程与电子技术, 2009, 31 (6): 1275- 1278.
	ZHANG C Z , ZHANG J P , SUN X D . Blind source separation based on adaptive particle swarm optimization[J]. Systems Engineering and Electronics, 2009, 31 (6): 1275- 1278.
27	TAN Y , ZHU Y . Fireworks algorithm for optimization[M]. Berlin: Springer, 2010: 355- 364.
28	李浩, 柏鹏, 张辉, 等. 反向烟花算法及其应用研究[J]. 西安交通大学学报, 2015, 49 (11): 82- 88.
	LI H , BAI P , ZHANG H , et al. Backward fireworks algorithm application research[J]. Journal of Xi'an Jiao Tong University, 2015, 49 (11): 82- 88.
29	马艳艳, 金宏斌, 李浩, 等. 空基雷达组网收发分置协同探测编队构型优化[J]. 空军预警学院学报, 2019, 33 (6): 436- 441.
	MA Y Y , JIN H B , LI H , et al. Configuration optimization of bistatic cooperative detectionfor air-based radar networking[J]. Journal of Air Force Early Warning Academy, 2019, 33 (6): 436- 441.
30	赵欣. 不同一维混沌映射的优化性能比较研究[J]. 计算机应用研究, 2012, 19 (3): 913- 915.
	ZHAO X . Comparative study on theoptimization performance of different one-dimensional chaotic maps[J]. Computer Applied Research, 2012, 29 (3): 913- 915.
31	WATKINS D S. Fundamentals of matrix computations[M]. 2nd ed. New York: Wiley, 2002: 192-194.

混沌映射名称	表达式
Logistic	$z_{u+1}=\lambda z_{u}\left(1-z_{u}\right), 0 <\lambda <4 $
ICMIC	$ z_{u+1}=\sin \left(a / z_{u}\right), a \in(0, \infty) $
Chebyshev	$z_{u+1}=\cos \left(k \arccos z_{u}\right), k=4, z_{u} \in[-1, 1] $
Tent	$z_{u+1}=\left\{\begin{array}{l}z_{u} / 0.7, z_{u} <0.7 \\10 / 3 z_{u}\left(1-z_{u}\right), \text {其他}\end{array}\right. $

算法	EASI	FastICA	CAFWA
相似系数	0.936 1	0.936 7	0.999 4
	0.978 9	0.998 4	0.999 7
	0.944 7	0.971 1	0.991 5
串音误差	0.846 5	0.243 8	0.094 3
迭代次数	386	22	16

算法	EASI	FastICA	CAFWA
相似系数	0.934 7	0.951 8	0.998 2
	0.968 6	0.967 4	0.984 2
	0.928 0	0.951 2	0.988 3
	0.908 3	0.952 6	0.963 2
串音误差	0.789 1	0.523 4	0.114 6
迭代次数	412	25	18

[1]	Zhangang YANG, Haiyi XU, Boyuan CHENG, Xudong SHI. Aviation generator eccentricity fault diagnosis based on FWA-DBN [J]. Systems Engineering and Electronics, 2022, 44(5): 1757-1764.
[2]	Yuan LUO, Jiaojiao DANG, Zuxun SONG, Baoping WANG. Construction and performance research of discrete chaotic measurement matrix [J]. Systems Engineering and Electronics, 2020, 42(4): 749-755.
[3]	TIAN Guilin, LIU Changyun, GAO Jiale, WU Shuran. Multi-sensor optimal disposition model based on fireworks algorithm [J]. Systems Engineering and Electronics, 2019, 41(8): 1742-1748.
[4]	YU Minjian, YOU Hanghang, HAN Qisong, YANG Haiyan, GAO Yangyang. Generation of air combat command and guidance countermeasures based on improved fireworks algorithm [J]. Systems Engineering and Electronics, 2019, 41(12): 2780-2788.
[5]	XUE Junjie, WANG Ying, MENG Xiangfei, XIAO Jiyang. Binary opposite backward learning fireworks algorithm for multidimensional knapsack problem [J]. Systems Engineering and Electronics, 2017, 39(2): 451-458.
[6]	HU Xing, MA Linhua, SUN Kangning, HUANG Tianyu, LIU Shiping. Theory performance limit and soft-decision based encoding and decoding algorithm of high order quantity error correction codes [J]. Systems Engineering and Electronics, 2017, 39(10): 2312-2319.
[7]	LIU Yi, DIAO Xing-chun, CAO Jian-jun, DING Kun, XU Yong-ping. Catfish bat algorithm-ant colony optimization for subset problems [J]. Systems Engineering and Electronics, 2016, 38(10): 2441-2448.
[8]	WANG Shao-lei， CHEN Wei-yi， GU Xue-feng. Solving weapon-target assignment problems based on self-adaptive differential evolution algorithm [J]. Systems Engineering and Electronics, 2013, 35(10): 2115-2120.
[9]	GUO Zhong-hai, CHEN Yong-guang, LI Qiong, YIN Can-bin, ZHANG Ting-hua. Improvement of frequency hopping sequences based on Logistic map [J]. Journal of Systems Engineering and Electronics, 2009, 31(4): 773-776.

Blind source separation of radar signals based on chaotic adaptive firework algorithm

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 20

References 31

Related Articles 9

Recommended Articles

Metrics

Comments