Sparse Decomposition for Frequency Modulation Radar Signal Based on
 Advanced Genetic Algorithm and SinChirplet Atom

doi:10.16183/j.cnki.jsjtu.2017.09.016

Abstract

Abstract: In order to improve the performance of sparse decomposition for radar signals, a signal sparse decomposition algorithm(SDA) based on a novel SinChirplet atomic dictionary and an advanced genetic algorithm(GA) is proposed. Firstly, a sinusoidal frequency modulating factor is added into Chirplet atom so that the curvature performance of the atom timefrequency curve can be improved. Therefore SinChirplet atom has good matching performance for nonlinear frequency modulation signals. Secondly, based on the matching characteristic of SinChirplet atom, the generation of atom initialization population in GA is improved so that the bestatom searching speed can be raised. The theoretical analysis and the simulation results show that the decomposition efficiency of advanced GA is higher than that of GA and matching pursuit(MP) algorithm. Meanwhile, the matching performance and the decomposition efficiency of SinChirplet atom are better than those of other three traditional timefrequency atoms.

Key words: timefrequency atom, signal decomposition, advanced genetic algorithm, frequency modulation signal, sparse representation, electronic jamming

CLC Number:

TN 97

WANG Xing,ZHOU Yipeng,TIAN Yuanrong,CHEN You,ZHOU Dongqing,HE Jiyuan. Sparse Decomposition for Frequency Modulation Radar Signal Based on
Advanced Genetic Algorithm and SinChirplet Atom[J]. Journal of Shanghai Jiaotong University, 2017, 51(9): 1124-1130.

References

［1］张淑宁, 朱航, 赵惠昌, 等. 基于周期模糊函数的伪码调相与正弦调频复合引信信号参数提取技术［J］. 兵工学报, 2014, 35(5): 627633.
ZHANG Shuning, ZHU Hang, ZHAO Huichang, et al. Parameter extraction technique based on periodic ambiguity for PRCPMSFM compound fuze signal［J］. Acta Armamentarii, 2014, 35(5): 627633.
［2］朱航, 张淑宁, 赵惠昌. 基于广义周期性的单通道多分量正弦调频信号分离和参数估计［J］. 电子与信息学报, 2014, 36(10): 24382444.
ZHU Hang, ZHANG Shuning, ZHAO Huichang. Single channel source separation and parameters estimation of multicomponent sinusoid frequency modulation signal based on generalized periodic［J］. Journal of Electronics and Information Technology, 2014, 36(10): 24382444.
［3］尹洪伟, 李国林, 路翠华. 一种基于复值盲分离的欺骗干扰抑制算法［J］. 上海交通大学学报, 2015, 49(10): 15641569.
YIN Hongwei, LI Guolin, LU Cuihua. An algorithm of deception jamming suppression based on complexvalue blind source seperation［J］. Journal of Shanghai Jiao Tong University, 2015, 49(10): 15641569.
［4］朱航, 张淑宁, 赵惠昌. 基于改进自适应分解法的单通道雷达引信混合信号分离［J］. 物理学报, 2014, 63(5): 058401.
ZHU Hang, ZHANG Shuning, ZHAO Huichang. Singlechannel source separation of radar fuze mixed signal using advanced adaptive decomposition［J］. Acta Physica Sinica, 2014, 63(5): 058401.
［5］练秋生, 石保顺, 陈书贞. 字典学习模型、算法及其应用研究进展［J］. 自动化学报, 2015, 41(2): 240260.
LIAN Qiusheng, SHI Baoshun, CHEN Shuzhen. Research advance on dictionary learning models, algorithms and applications［J］. Acta Automatica Sinica, 2015, 41(2): 240260.
［6］MALLAT S G, ZHANG Z. Matching pursuit with timefrequency dictionaries［J］. IEEE Transactions on Signal Processing, 1993, 41(12): 33973415.
［7］王希勤, 刘婧瑶, 孟华东, 等. 一种基于时频原子特征的雷达辐射源信号识别方法［J］. 红外与毫米波学报, 2011, 30(6): 566570.
WANG Xiqin, LIU Jingyao, MENG Huadong, et al. A method for radar emitter signal recognition based on timefrequency atom features［J］. Journal of Infrared Millim Waves, 2011, 30(6): 566570.
［8］BULTAN A. A fourparameter atomic decomposition of chirplets［J］. IEEE Transaction on Signal Processing, 1999, 47(3): 731745.
［9］MENG Q J, SUN N L. A comparison study on gabor, chirplet, FMmlet atom databases for ECG signal processing［C］∥Proceedings of International Conference on Bioinformatics and Biomedical Engineering. Beijing: IEEE, 2009: 13．
［10］GHOFRANI S, AYATOLLAHI A, MCLERNON D C. A comparison of different timefrequency atoms in both ambiguity and timefrequency domains［C］∥Proceedings of the 3rd International Symposium on Image and Signal Processing and Analysis. Rome: IEEE, 2003: 158161.
［11］LOBO A P, LOIZOU P C. Voiced/unvoiced speech discrimination in noise using gabor atomic decomposition［C］∥International Conference on Acoustics, Speech, and Signal Processing. HongKong: IEEE, 2003: 820828.
［12］朱明, 金炜东, 普运伟, 等. 基于Chirplet原子的雷达辐射源信号特征提取［J］. 红外与毫米波学报, 2007, 26(4): 241245.
ZHU Ming, JIN Weidong, PU Yunwei, et al. Feature extraction of radar emitter signals based on gaussian chirplet atoms［J］. Journal of Infrared Millimeter Waves, 2007, 26(4): 241245.
［13］WANG Y, WANG Z, ZHAO B, et al. Compensation for highfrequency vibration of platform in SAR imaging based on adaptive chirplet decomposition［J］. IEEE Geoscience and Remote Sensing Letters, 2016, 13(6): 792795.
［14］WILEY R G. ELINT: The interception and analysis of radar signals［M］. MA: Artech House radar library, 2006.

[1]	ZHAO Ting, WANG Shentao, NIU Lin, XI Peili, CAI Yunze. Detection Algorithm of Ship Wake in SAR Images [J]. Journal of Shanghai Jiao Tong University, 2020, 54(12): 1259-1268.
[2]	XU Xiaoling (徐晓玲), LIU Yiling (刘沂玲), LIU Qiegen (刘且根),LU Hongyang (卢红阳), ZHANG Minghui (张明辉). Gradient-Based Low Rank Method for Highly Undersampled Magnetic Resonance Imaging Reconstruction [J]. Journal of Shanghai Jiao Tong University (Science), 2018, 23(3): 384-.
[3]	Pijin ZHANG, Hong ZHOU, Lirong KUI, Wei ZHAO. A Comprehensive Experiment on Series Resonant Circuits (Part I)——Decomposition and Synthesis of Periodic Non-sinusoidal Signals [J]. Research and Exploration in Laboratory, 2017, 36(5): 192-195.
[4]	L ¨U Wentao1* (吕文涛), WANG Junfeng2 (王军锋), YU Wenxian2 (郁文贤), BAO Xiaomin1 (包晓敏). Range Profile Target Recognition Using Sparse Representation Based on Feature Space [J]. Journal of shanghai Jiaotong University (Science), 2017, 22(5): 615-623.
[5]	BAI Caijuan1,LIU Jing1,JIANG Xiaoyu2,ZHANG Guoxian1,HUANG Kaiyu1. The Reconstruction of Digital Holography Based on Iterative De-Noising Shrinkage-Thresholding Algorithm [J]. Journal of Shanghai Jiaotong University, 2017, 51(12): 1435-1442.
[6]	Ming-hui ZHANG, Xiao-yang HE, Shen-yuan DU, Qie-gen* LIU. A Generalized Two-Level Bregman Method with Dictionary Updating for Non-Convex Magnetic Resonance Imaging Reconstruction [J]. Journal of Shanghai Jiao Tong University(Science), 2015, 20(6): 660-669.
[7]	GUO Tianxu，CHEN Maoyin，ZHOU Donghua. A Fault Detection Method of Non-Gaussian Processes and Small Shift [J]. Journal of Shanghai Jiaotong University, 2015, 49(06): 775-779.
[8]	WANG Rui,DU Linfeng,CHEN Junli,WAN Wanggen. Image Fusion Based on Random Projection and Sparse Representation [J]. Journal of Shanghai Jiaotong University, 2014, 48(10): 1421-1427.