A Time-frequency Analysis Method for Linear Frequency Modulation Signal with Low Sidelobe and Nonaliasing Property

Huijie LIU; Xinhai GAO; Rujiang GUO

doi:10.11999/JEIT181190

Volume 41 Issue 11

Nov. 2019

Turn off MathJax

Article Contents

Article Navigation > Journal of Electronics & Information Technology > 2019 > 41(11): 2614-2622

Huijie LIU, Xinhai GAO, Rujiang GUO. A Time-frequency Analysis Method for Linear Frequency Modulation Signal with Low Sidelobe and Nonaliasing Property[J]. Journal of Electronics & Information Technology, 2019, 41(11): 2614-2622. doi: 10.11999/JEIT181190

Citation:

Huijie LIU, Xinhai GAO, Rujiang GUO. A Time-frequency Analysis Method for Linear Frequency Modulation Signal with Low Sidelobe and Nonaliasing Property[J]. Journal of Electronics & Information Technology, 2019, 41(11): 2614-2622. doi: 10.11999/JEIT181190

Citation:

PDF( 3568 KB)

A Time-frequency Analysis Method for Linear Frequency Modulation Signal with Low Sidelobe and Nonaliasing Property

doi: 10.11999/JEIT181190

Huijie LIU¹,
Xinhai GAO^{1, 2, 3
,
,},
Rujiang GUO¹

1.
Innovation Academy for Microsatellites of Chinese Academy of Sciences, Shanghai 201203, China
2.
Shanghai Institute of Microsystem and Information Technology, Shanghai 200050, China
3.
University of Chinese Academy of Sciences, Beijing 100049, China

Funds: The National Natural Science Foundation of China (91738201), Shanghai Sailing Program (17YF1418200)

Received Date: 2018-12-28
Rev Recd Date: 2019-05-27

Available Online: 2019-08-23

Publish Date: 2019-11-01

Abstract

Abstract

Chirp signals are widely used in communication and exploration. The parameter analysis of the chirp signals often uses a Wigner-Ville Distribution (WVD) based time-frequency analysis method, which achieves high time-frequency resolution. However, this method has defects in cross terms, high sidelobes, and spectral aliasing problems. To solve these problems, a time-frequency analysis method called Spatially Variant Apodiztion-rearrange Wigner Ville Distribution (SVA-rWVD) is proposed, which achieves low sidelobes by exploiting the Spatially Variant Apodization (SVA) techniques, and avoids the cross terms and the spectral aliasing problems by applying the Short Time Fourier Transform (STFT). Furthermore, a new time-frequency distribution is obtained from the proposed method. Extensive simulations show that the time-frequency distribution obtained by the proposed method not only reduces the sidelobe level to –40 dB but also eliminates cross terms and spectral aliasing for both single-component and multi-component chirp signals.

FullText(HTML)

References(19)

References

YI Wei, CHEN Zhenhua, HOSEINNEZHAD R, et al. Joint estimation of location and signal parameters for an LFM emitter[J]. Signal Processing, 2017, 134: 100–112. doi: 10.1016/j.sigpro.2016.11.014

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. doi: 10.3969/j.issn.0372-2112.2017.02.008

LI Xiukun and WU Yushuang. Cross-term removal of Wigner-Ville distribution for multi-component LFM signals[J]. Acta Electronica Sinica, 2017, 45(2): 315–320. doi: 10.3969/j.issn.0372-2112.2017.02.008

KUMAR R, ZHAO Wei, and SINGH V. Joint time-frequency analysis of seismic signals: A critical review[J]. Structural Durability & Health Monitoring, 2018, 12(2): 65–83. doi: 10.3970/sdhm.2018.02329

邹红星, 戴琼海, 李衍达, 等. 不含交叉项干扰且具有WVD聚集性的时频分布之不存在性[J]. 中国科学: E辑, 2002, 45(3): 174–180. doi: 10.1360/02yf9015

ZOU Hongxing, DAI Qionghai, LI Yanda, et al. Nonexistence of cross-term free time-frequency distribution with concentration of Wigner-Ville distribution[J]. Science in China Series F:Information Sciences, 2002, 45(3): 174–180. doi: 10.1360/02yf9015

BOASHASH B, ALI KHAN N, and BEN-JABEUR T. Time-frequency features for pattern recognition using high-resolution TFDs: A tutorial review[J]. Digital Signal Processing, 2015, 40: 1–30. doi: 10.1016/j.dsp.2014.12.015

赵培洪, 平殿发, 邓兵, 等. 魏格纳-维尔分布交叉项抑制方法综述[J]. 探测与控制学报, 2010, 32(1): 23–29. doi: 10.3969/j.issn.1008-1194.2010.01.006

ZHAO Peihong, PING Dianfa, DENG Bing, et al. Review of cross-terms suppression methods in Wigner-Ville distribution[J]. Journal of Detection &Control, 2010, 32(1): 23–29. doi: 10.3969/j.issn.1008-1194.2010.01.006

ALI KHAN N and SANDSTEN M. Time-frequency image enhancement based on interference suppression in Wigner-Ville distribution[J]. Signal Processing, 2016, 127: 80–85. doi: 10.1016/j.sigpro.2016.02.027

REN Huorong, REN An, and LI Zhiwu. A new strategy for the suppression of cross-terms in pseudo Wigner-Ville distribution[J]. Signal, Image and Video Processing, 2016, 10(1): 139–144. doi: 10.1007/s11760-014-0713-9

BOASHASH B and OUELHA S. An improved design of high-resolution quadratic time-frequency distributions for the analysis of nonstationary multicomponent signals using directional compact kernels[J]. IEEE Transactions on Signal Processing, 2017, 65(10): 2701–2713. doi: 10.1109/TSP.2017.2669899

PACHORI R B and NISHAD A. Cross-terms reduction in the Wigner-Ville distribution using tunable-Q wavelet transform[J]. Signal Processing, 2016, 120: 288–304. doi: 10.1016/j.sigpro.2015.07.026

王见, 李金同, 卢华玲, 等. 采用STFT-Wigner变换抑制Wigner-Ville分布交叉项[J]. 重庆大学学报, 2013, 36(8): 15–18. doi: 10.11835/j.jssn.1000-582X.2013.08.003

WANG Jian, LI Jintong, LU Hualing, et al. Using STFT-Wigner transform to suppress the cross terms in Wigner-Ville distribution[J]. Journal of Chongqing University, 2013, 36(8): 15–18. doi: 10.11835/j.jssn.1000-582X.2013.08.003

STANKWITZ H C, DALLAIRE R J, and FIENUP J R. Nonlinear apodization for sidelobe control in SAR imagery[J]. IEEE Transactions on Aerospace and Electronic Systems, 1995, 31(1): 267–279. doi: 10.1109/7.366309

GUO Liang, YIN Hongfei, ZHOU Yu, et al. A novel sidelobe-suppression algorithm for airborne synthetic aperture imaging ladar[J]. Optics & Laser Technology, 2019, 111: 714–719. doi: 10.1016/j.optlastec.2018.09.005

徐光耀, 刘永泽, 许小剑. 基于变迹滤波的MIMO-SAR图像分辨率增强技术[J]. 北京航空航天大学学报, 2017, 43(7): 1313–1320. doi: 10.13700/j.bh.1001-5965.2016.0514

XU Guangyao, LIU Yongze, and XU Xiaojian. Enhanced resolution in MIMO-SAR imaging using apodization[J]. Journal of Beijing University of Aeronautics and Astronsutics, 2017, 43(7): 1313–1320. doi: 10.13700/j.bh.1001-5965.2016.0514

NI Chong, WANG Yanfei, XU Xianghui, et al. A super-resolution algorithm for synthetic aperture radar based on modified spatially variant apodization[J]. Science China Physics, Mechanics and Astronomy, 2011, 54(2): 355–364. doi: 10.1007/s11433-010-4186-8

SARKAR B, PANIGRAHI R K, and MISHRA A K. Sidelobe suppression in Wigner distribution using non-linear apodization[C]. Proceedings of 2009 Annual IEEE India Conference, Gujarat, India, 2009: 1–4. doi: 10.1109/INDCON.2009.5409393.

SUN Kewen, ZHANG Min, and YANG Dongkai. A new interference detection method based on joint hybrid time-frequency distribution for GNSS receivers[J]. IEEE Transactions on Vehicular Technology, 2016, 65(11): 9057–9071. doi: 10.1109/TVT.2016.2515718

刘颖, 陈殿仁, 陈磊, 等. 基于周期Choi-Williams Hough变换的线性调频连续波信号参数估计算法[J]. 电子与信息学报, 2015, 37(5): 1135–1140. doi: 10.11999/JEIT140876

LIU Ying, CHEN Dianren, CHEN Lei, et al. Parameters estimation algorithm of linear frequency modulated continuous wave signals based on period Choi-Williams Hough transform[J]. Journal of Electronics &Information Technology, 2015, 37(5): 1135–1140. doi: 10.11999/JEIT140876

张天骐, 全盛荣, 强幸子, 等. 基于多尺度Chirplet稀疏分解和Wigner-Ville变换的时频分析方法[J]. 电子与信息学报, 2017, 39(6): 1333–1339. doi: 10.11999/JEIT160750

ZHANG Tianqi, QUAN Shengrong, QIANG Xingzi, et al. Time-frequency analysis method based on multi-scale Chirplet sparse decomposition and Wigner-Ville transform[J]. Journal of Electronics &Information Technology, 2017, 39(6): 1333–1339. doi: 10.11999/JEIT160750

Relative Articles

Supplements(0)

Cited By

Proportional views