电子电气工程与控制

基于切片熵权的WHT多LFM信号识别方法

  • 王红卫 ,
  • 范翔宇 ,
  • 陈游 ,
  • 宋海方 ,
  • 杨远志
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  • 1. 空军工程大学 航空航天工程学院, 西安 710038;
    2. 西北工业大学 电子与信息学院, 西安 710072

收稿日期: 2016-01-08

  修回日期: 2016-04-27

  网络出版日期: 2016-05-04

基金资助

航空科学基金(20152096019,20145596025)

Recognition method of multiple LFM signals with WHT based on entropy of slice

  • WANG Hongwei ,
  • FAN Xiangyu ,
  • CHEN You ,
  • SONG Haifang ,
  • YANG Yuanzhi
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  • 1. Aeronautics and Astronautics Engineering College, Air Force Engineering University, Xi'an 710038, China;
    2. College of Electronic and Information, Northwestern Polytechnical University, Xi'an 710072, China

Received date: 2016-01-08

  Revised date: 2016-04-27

  Online published: 2016-05-04

Supported by

Aeronautical Science Foundation of China (20152096019, 20145596025)

摘要

为提高在低信噪比与先验信息不足条件下对线性调频(LFM)信号识别能力,借鉴信息论中的熵权法改进WHT(Wigner-Hough Transform),提出了一种基于切片熵权的WHTE(Wigner-Hough Transform based on Entropy)算法。推导出LFM信号的WHT与对应特性,将WHT变换域内极半径和角度切片的熵值来转换为权重因子,进而对每个切片进行加权处理,采用双层权重以弱化噪声与干扰项的影响,并推导出LFM信号与高斯白噪声在WHT维度内不同假设条件下的概率密度分布函数,构建了对于LFM信号WHT后恒虚警检测的完备流程。通过理论分析与公式推导论证了算法的可行性,并与WHT、分数阶傅里叶变换与周期WHT算法的仿真对比,验证了算法的有效性,凸显WHTE算法能够在强噪声背景下与没有先验支撑时实现对LFM信号的良好检测。

本文引用格式

王红卫 , 范翔宇 , 陈游 , 宋海方 , 杨远志 . 基于切片熵权的WHT多LFM信号识别方法[J]. 航空学报, 2017 , 38(1) : 320023 -320023 . DOI: 10.7527/S1000-6893.2016.0134

Abstract

In order to improve capability of recognizing linear frequency modulated (LFM) signal under low signal-to-noise ratio and insufficient prior information, Wigner-Hough transform (WHT) is improved with entropy method of information theory, and an algorithm of Wigner-Hough transform based on entropy (WHTE) of slice is proposed. The WHT and corresponding features of LFM signal are derived; the entropy of polar radius and angle slices in WHT's transform domain is transformed to weight factor, and then each slice can be weighted. Double-deck weight is used to weaken the influence of noise and jamming term, and probability density distribution function of LFM signal and Gaussian white noise under different assumptions in WHT dimensionality is deduced; constant false alarm rate inspection's complete flow of LFM signal after WHT is established. The feasibility of algorithm is verified via theoretical analysis and formula derivation, and the effectiveness of algorithm is proved according to comparisons with WHT, fractional Fourier transform and periodic WHT, which shows fine detection of LFM signal by WHTE algorithm under strong noise and insufficient prior information.

参考文献

[1] 方标, 黄高明, 高俊. LFM宽带雷达信号的盲压缩感知模型[J]. 航空学报, 2014, 35(8):2261-2270. FANG B, HUANG G M, GAO J. A blind compressed sensing model for linear frequency modulated wideband radar signal[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(8):2261-2270(in Chinese).
[2] BI G A, LI X M, SAMSON S C M. LFM signal detection using LPP-Hough transform[J]. Signal Processing, 2011, 91(6):1432-1443.
[3] GONG S X, WEI X Z, LI X, et al. Mathematic principle of active jamming against wideband LFM radar[J]. Journal of Systems Engineering and Electronics, 2015, 26(1):50-60.
[4] 马宁, 王建新, 董宁斐. 基于正交匹配追踪的欠采样LFM信号参数估计[J]. 电子与信息学报, 2013, 35(8):1888-1893. MA N, WANG J X, DONG N F. Parameter estimation of sub-sampling LFM signal based on orthogonal matching pursuit[J]. Journal of Electronics & Information Technology, 2013, 35(8):1888-1893(in Chinese).
[5] 沈显祥, 叶瑞青, 唐斌, 等. 基于欠采样的宽带线性调频信号参数估计[J]. 电波科学学报, 2007, 22(1):43-46. SHEN X X, YE R Q, TANG B, et al. An algorithm for estimation of wideband LFM signal parameters based on subsampling[J]. Chinese Journal of Radio Science, 2007, 22(1):43-46(in Chinese).
[6] TAO R, LI X M, LI Y L, et al. Time delay estimation of chirp signals in the fractional Fourier domain[J]. IEEE Transactions on Signal Processing, 2009, 57(7):2851-2855.
[7] 刘峰, 徐会发, 陶然. 基于FRFT的对称三角LFMCW信号检测与参数估计[J]. 电子与信息学报, 2011, 33(8):1864-1870. LIU F, XU H F, TAO R. Detection and parameter estimation of symmetrical triangular LFMCW signal based on fractional Fourier transform[J]. Journal of Electronics & Information Technology, 2011, 33(8):1864-1870(in Chinese).
[8] ZHANG W, XIONG Y, WANG P, et al. An approach for parameter estimation of combined CPPM and LFM radar signal[J]. Chinese Journal of Aeronautics, 2013, 26(4):986-992.
[9] 闫浩, 董春曦, 赵国庆. 基于压缩感知的线性调频信号参数估计[J]. 电波科学学报, 2015, 30(3):459-466. YAN H, DONG C X, ZHAO G Q. Parameter estimation of LFM signal based on compressed sensing[J]. Chinese Journal of Radio Science, 2015, 30(3):459-466(in Chinese).
[10] KRINIDIS S, CHATZIS V. A robust local information C-means clustering algorithm[J]. IEEE Transactions on Image Processing, 2010, 19(5):1328-1337.
[11] 刘凯, 韩嘉宾, 王韵白, 等. 基于切割聚类的快速多分量LFM信号分离[J]. 系统工程与电子技术, 2015, 37(5):1004-1008. LIU K, HAN J B, WANG Y B, et al. Fast separation of multi-component LFM signals based on segmented clustering[J]. Systems Engineering and Electronics, 2015, 37(5):1004-1008(in Chinese).
[12] GREOLEO F G, BRANDT P M. Detection and estimation of LFMCW radar signals[J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(1):405-418.
[13] 张立民, 钟兆根, 王泽众, 等. 基于周期WHT循环滤波的交叠类似LFMCW信号检测与分离[J]. 航空学报, 2013, 34(11):2580-2589. ZHANG L M, ZHONG Z G, WANG Z Z, et al. Detection and separation of overlapped quasi-LFMCW signals based on periodic WHT recurrent filter[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(11):2580-2589(in Chinese).
[14] 朱广平, 孙辉, 朱凤芹. 时频域自适应均值脊波变换滤波及检测方法[J]. 哈尔滨工程大学学报, 2010, 31(9):1172-1178. ZHU G P, SUN H, ZHU F Q. Detecting signals using adaptive mean and ridgelet transform filtering in a time-frequency domain[J]. Journal of Harbin Engineering University, 2010, 31(9):1172-1178(in Chinese).
[15] 刘峰, 孙大鹏, 黄宇, 等. 基于改进Wigner-Hough变换的多分量LFM信号特征提取[J]. 北京理工大学学报学报, 2008, 28(10):914-918. LIU F, SUN D P, HUANG Y, et al. Multi-component LFM signal feature extraction based on improved Wigner-Hough transform[J]. Transactions of Beijing Institute of Technology, 2008, 28(10):914-918(in Chinese).
[16] QU X J, CHEN H, PENG G H, et al. Novel detection method for infrared small targets using weighted information entropy[J]. Journal of Systems Engineering and Electronics, 2012, 23(6):838-842.
[17] 杨玉中, 吴立云. 煤矿运输安全性评价的基于熵权的TOPSIS方法[J]. 哈尔滨工业学报, 2009, 41(11):228-231. YANG Y Z, WU L Y. TOPSIS based on entropy weight for safety evaluation on coalmine transportation system[J]. Journal of Harbin Institute of Technology, 2009, 41(11):228-231(in Chinese).
[18] 崔建国, 林泽力, 吕瑞, 等. 基于模糊灰色聚类和组合赋权法的飞机健康状态综合评估方法[J]. 航空学报, 2014, 35(3):764-772. CUI J G, LIN Z L, LYU R, et al. Comprehensive assessment method of aircraft health status based on fuzzy gray clustering and combination weighting[J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(3):764-772(in Chinese).
[19] CHENG T, ZHANG C X. Application of fuzzy AHP based on entropy weight to site selection of solid sanitary landfill[J]. Environmental and Sanitary Engineering, 2003, 12(2):64-67.
[20] LIU F, XU H F, TAO R, et al. Research on resolution among multi-component LFM signals in the fractional Fourier domain[J]. Science China, Information Sciences, 2012, 55(6):1301-1312.
[21] 尉宇, 孙德宝, 吴江洪, 等. 基于WHT的多分量LFM参数估计与分离[J]. 系统工程与电子技术, 2003, 25(12):1472-1475. WEI Y, SUN D B, WU J H, et al. Parameter estimation and separation of the multi-component LFM signal with WHT[J]. Systems Engineering and Electronics, 2003, 25(12):1472-1475(in Chinese).
[22] LIU H Y, ZHAO J M, LI D A. Single guide league ventricular late potentials extraction based on signal correlation[J]. Journal of Information and Computational Science, 2013, 10(14):4673-4680.

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