多分量线性调频信号的Wigner-Ville分布交叉项去除

doi:10.3969/j.issn.0372-2112.2017.02.008

电子学报 ›› 2017, Vol. 45 ›› Issue (2): 315-320.DOI: 10.3969/j.issn.0372-2112.2017.02.008

多分量线性调频信号的Wigner-Ville分布交叉项去除

李秀坤, 吴玉双

1. 哈尔滨工程大学水声技术重点实验室, 黑龙江哈尔滨 150001;
2. 哈尔滨工程大学水声工程学院, 黑龙江哈尔滨 150001

收稿日期:2015-10-26 修回日期:2016-05-19 出版日期:2017-02-25
- 通讯作者:
- 李秀坤
- 作者简介:
- 吴玉双,女,1989年10月生,山东聊城人,现于哈尔滨工程大学攻读信息与通信工程专业博士学位,研究方向为水下目标探测、识别、定位.E-mail:wuyushuang@hrbeu.edu.cn
- 基金资助:
- 国家自然科学基金 (No.51279033）; 黑龙江省自然科学基金 (No.F201346）

Cross-Term Removal of Wigner-Ville Distribution for Multi-component LFM Signals

LI Xiu-kun, WU Yu-shuang

1. Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin, Heilongjiang 150001, China;
2. College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin, Heilongjiang 150001, China

Received:2015-10-26 Revised:2016-05-19 Online:2017-02-25 Published:2017-02-25
- Supported by:
- National Natural Science Foundation of China (No.51279033); Natural Science Foundation of Heilongjiang Province, China (No.F201346)

摘要/Abstract

摘要：

针对多分量线性调频信号WVD（Wigner-Ville Distribution）检测中的交叉项问题，提出一种交叉项去除方法.利用自项和交叉项的频率特性，将WVD时频矩阵进行坐标旋转，在变换域上滤波去除交叉项.理论推导了矩阵旋转变换公式以及旋转后自项和交叉项的表达式，并且针对缓慢震荡的交叉项受滤波器性能限制不能完全去除的情况，提出能量加权的方法进行改进.仿真和实验结果验证，该方法不仅能够去除交叉项，且不会降低分辨率.

关键词: Wigner-Ville分布, 交叉项, 时频分辨率, 能量加权

Abstract:

A method of cross-term removal for Wigner-Ville distribution is proposed to the detection of multi-component LFM signals.For the frequency characteristics of auto terms and cross terms,it removes cross terms by filtering WVD time-frequency matrix in the transform domain.The matrix transformation formula and the expression of all terms after transformation are given.And in view of the performance of filter,an energy weighted method is put forward to improve the slow oscillating cross term.Simulation and experimental results demonstrate that,it can eliminate the cross term with no reduction of time-frequency resolution.

Key words: Wigner-Ville distribution, cross term, time-frequency resolution, energy weighted method

中图分类号:

TN929.3

李秀坤, 吴玉双. 多分量线性调频信号的Wigner-Ville分布交叉项去除[J]. 电子学报, 2017, 45(2): 315-320.

LI Xiu-kun, WU Yu-shuang . Cross-Term Removal of Wigner-Ville Distribution for Multi-component LFM Signals[J]. Acta Electronica Sinica, 2017, 45(2): 315-320.

参考文献

[1] 邹红星,周小波,李衍达.时频分析:回溯与前瞻[J].电子学报,2000,28(9):78-84. Zou Hongxing,Zhou Xiaobo,Li Yanda.Which time-frequency analysis-a survey[J].Acta Electronica Sinica,2000,28(9):78-84.(in Chinese)
[2] M Thomas,B Lethakumary,R Jacob.Performance comparison of multi-component signals using WVD and Cohen's class variants[A].2012 International Conference on Computing,Electronics and Electrical Technologies (ICCEET)[C].Kumaracoil:IEEE,2012.717-722.
[3] 张德明,李整林,张仁和.基于自适应时频分析的海底参数反演[J].声学学报,2005,30(5):414-419. Zhang Deming,Li Zhenglin,Zhang Renhe.Inversion for the bottom geoacoustic parameters based on adaptive time-frequency analysis[J].Acta Acustica,2005,30(5):414-419.(in Chinese)
[4] Gonzalo R.Arce.Elimination of interference terms of the discrete Wigner distribution using nonlinear filtering[J].IEEE Transactions on Signals Processing,2000,48(8):2321-2331.
[5] 孙世钧,李秀坤.经验模态分解WVD方法的水下目标特征提取[J].哈尔滨工程大学学报,2013,34(8):967-971. Sun Shijun,Li Xiukun.Underwater target feature extraction using empirical mode decomposition and WVD method[J].Journal of Harbin Engineering University,2013,34(8):967-971.(in Chinese)
[6] Gómez S,Naranjo V,Miralles R.Removing interference components in time-frequency representations using morphological operators[J].Journal of Visual Communication and Image Representation,2011,22(5):401-410.
[7] L Cohen.Time-frequency distributions-A review[J].Proceedings of the IEEE,1989,7(77):941-981.
[8] L Cohen.Time-frequency analysis[J].IEEE Signal Processing Magazine,1999,16(1):22-28.
[9] Azeemsha Thacham Poyil,Shadiya Alingal Meethal.Cross-term reduction using Wigner Hough Transform and back estimation[A].2012 International Conference on Industrial Control and Electronics Engineering[C].Xi'an:IEEE,2012.5-8.
[10] Azeemsha Thacham Poyil,Nasimudeen KM.Multi resolution signal analysis using improved Wigner Ville Distribution[A].2012 International Conference on Communication,Information & Computing Technology (ICCICT)[C].Mumbai:IEEE,2012.1-4.
[11] 王勇,姜义成.一种抑制时频分布交叉项的新方法[J].电子学报,2008,36(12A):161-165. Wang Yong,Jiang Yicheng.A new method for restrain the cross-terms of time-frequency distributions[J].Acta Electronica Sinica,2008,36(12A):161-165.(in Chinese)
[12] 张贤达.现代信号处理(第二版)[M].北京:清华大学出版社,2002.451-458.
[13] F Hlawatsch,P Fladrin.The interference structure of Wigner distribution and related time-frequency signal representation[A].The Wigner Distribution:Theory and Application in Signal Processing (W.Mecklenbr? uker,Franz Hlawatsch)[C].Amsterdam:Elsevier,1997.59-133.

多分量线性调频信号的Wigner-Ville分布交叉项去除

Cross-Term Removal of Wigner-Ville Distribution for Multi-component LFM Signals

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

编辑推荐

Metrics

[1]	冯德军;王雪松;刘佳琪;刘义. 采用双混频实现扩展目标运动参数估计和散射中心重构[J]. 电子学报, 2009, 37(8): 1768-1772.
[2]	王勇, 姜义成. 一种抑制时频分布交叉项的新方法[J]. 电子学报, 2008, 36(S1): 161-165.
[3]	刘庆云;李志舜;马艳. 一种时频分布核函数构造方法[J]. 电子学报, 2005, 33(4): 745-747.
[4]	王忠仁, 林君, 李文伟. 基于Wigner-Ville分布的复杂时变信号的时频分析[J]. 电子学报, 2005, 33(12): 2239-2241.
[5]	田孝华;廖桂生;吴云韬. LFM脉冲雷达回波Doppler与多径时延的联合估计[J]. 电子学报, 2002, 30(6): 857-860.
[6]	孙泓波;顾红;苏卫民;刘国岁. 基于互Wigner-Ville分布的SAR运动目标检测[J]. 电子学报, 2002, 30(3): 347-350.
[7]	葛凤翔;蔡平;惠俊英;彭应宁. 混响背景中目标回波检测和参数估计的一种新方法[J]. 电子学报, 2001, 29(3): 304-306.
[8]	邹红星;周小波;李衍达. 时频分析:回溯与前瞻[J]. 电子学报, 2000, 28(8): 78-84.