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Small Target Detection in Sea Clutter Background Based on Tsallis Entropy of Doppler Spectrum
DOI: 10.12000/JR19012
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Abstract
According to the different concentration levels of Doppler spectrum between sea clutter and target, small target in sea clutter background can be detected using Shannon entropy. However, Shannon entropy is merely a special case of Tsallis entropy and cannot reflect the multifractality of sea clutter. In this paper, the relation between Tsallis entropy and the generalized fractal dimension is first presented, and then the Doppler spectrum’s concentrative level and multifractality of sea clutter are combined; finally an algorithm for detecting small target in sea clutter background based on Tsallis entropy of Doppler spectrum rather than of Shannon entropy is proposed. By comparison via IPIX dataset, the detection’s performance of Tsallis entropy is better than that of Shannon entropy and Hurst exponent as per short observations. -
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References
[1] FARINA A and STUDER F A. A review of CFAR detection techniques in radar systems[J]. Microware Journal, 1986, 29(5): 115, 116, 118.[2] 丁昊, 董云龙, 刘宁波, 等. 海杂波特性认知研究进展与展望[J]. 雷达学报, 2016, 5(5): 499–516. doi: 10.12000/JR16069DING Hao, DONG Yunlong, LIU Ningbo, et al. Overview and prospects of research on sea clutter property cognition[J]. Journal of Radars, 2016, 5(5): 499–516. doi: 10.12000/JR16069[3] HAYKIN S, CURRIE B W, and KESLER S B. Maximum-entropy spectral analysis of radar clutter[J]. Proceedings of the IEEE, 1982, 70(9): 953–962. doi: 10.1109/PROC.1982.12426[4] 刘劲, 王雪, 刘宏伟. 基于多普勒谱特征的海杂波背景下小目标检测[J]. 现代雷达, 2008, 30(11): 63–66. doi: 10.3969/j.issn.1004-7859.2008.11.016LIU Jin, WANG Xue, and LIU Hongwei. Small target detection in sea clutter background based on Doppler spectrum characteristics[J]. Modern Radar, 2008, 30(11): 63–66. doi: 10.3969/j.issn.1004-7859.2008.11.016[5] SHUI Penglang, LI Dongchen, and XU Shuwen. Tri-feature-based detection of floating small targets in sea clutter[J]. IEEE Transactions on Aerospace and Electronic Systems, 2014, 50(2): 1416–1430. doi: 10.1109/TAES.2014.120657[6] DUK V, ROSENBERG L, and NG B W H. Target detection in sea-clutter using stationary wavelet transforms[J]. IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(3): 1136–1146. doi: 10.1109/TAES.2017.2667558[7] HAYKIN S, BAKKER R, and CURRIE B W. Uncovering nonlinear dynamics-the case study of sea clutter[J]. Proceedings of the IEEE, 2002, 90(5): 860–881. doi: 10.1109/JPROC.2002.1015011[8] LO T, LEUNG H, LITVA J, et al. Fractal characterisation of sea-scattered signals and detection of sea-surface targets[J]. IEE Proceedings F - Radar and Signal Processing, 1993, 140(4): 243–250. doi: 10.1049/ip-f-2.1993.0034[9] 孙康, 金钢, 朱晓华. 基于波动分析的海上小目标检测[J]. 电子与信息学报, 2013, 35(4): 882–887. doi: 10.3724/SP.J.1146.2012.00927SUN Kang, JIN Gang, and ZHU Xiaohua. Small target detection within sea clutter based on the fluctuation analysis[J]. Journal of Electronics &Information Technology, 2013, 35(4): 882–887. doi: 10.3724/SP.J.1146.2012.00927[10] GAN D and SHOUHONG Z. Detection of sea-surface radar targets based on multifractal analysis[J]. Electronics Letters, 2000, 36(13): 1144–1145. doi: 10.1049/el:20000800[11] 刘宁波, 关键, 黄勇, 等. 基于频域多尺度Hurst指数的海杂波中目标检测方法[J]. 电子学报, 2013, 41(3): 424–431. doi: 10.3969/j.issn.0372-2112.2013.03.002LIU Ningbo, GUAN Jian, HUANG Yong, et al. Target detection within sea clutter based on multi-scale Hurst exponent in frequency domain[J]. Acta Electronica Sinica, 2013, 41(3): 424–431. doi: 10.3969/j.issn.0372-2112.2013.03.002[12] 刘宁波, 黄勇, 关键, 等. 实测海杂波频域分形特性分析[J]. 电子与信息学报, 2012, 34(4): 929–935. doi: 10.3724/SP.J.11.1146.2011.00856LIU Ningbo, HUANG Yong, GUAN Jian, et al. Fractal analysis of real sea clutter in frequency domain[J]. Journal of Electronics &Information Technology, 2012, 34(4): 929–935. doi: 10.3724/SP.J.11.1146.2011.00856[13] 刘宁波, 关键, 王国庆, 等. 基于海杂波FRFT谱多尺度Hurst指数的目标检测方法[J]. 电子学报, 2013, 41(9): 1847–1853. doi: 10.3969/j.issn.0372-2112.2013.09.029LIU Ningbo, GUAN Jian, WANG Guoqing, et al. Target detection within sea clutter based on multi-scale Hurst exponent in FRFT domain[J]. Acta Electronica Sinica, 2013, 41(9): 1847–1853. doi: 10.3969/j.issn.0372-2112.2013.09.029[14] 陈小龙, 刘宁波, 宋杰, 等. 海杂波FRFT域分形特征判别及动目标检测方法[J]. 电子与信息学报, 2011, 33(4): 823–830. doi: 10.3724/SP.J.1146.2010.00486CHEN Xiaolong, LIU Ningbo, SONG Jie, et al. Fractal feature discriminant of sea clutter in FRFT domain and moving target detection algorithm[J]. Journal of Electronics & Information Technology, 2011, 33(4): 823–830. doi: 10.3724/SP.J.1146.2010.00486[15] LUO Feng, ZHANG Danting, and ZHANG Bo. The fractal properties of sea clutter and their applications in maritime target detection[J]. IEEE Geoscience and Remote Sensing Letters, 2013, 10(6): 1295–1299. doi: 10.1109/LGRS.2013.2237750[16] FAN Yifei, LUO Feng, LI Ming, et al. Weak target detection in sea clutter background using local-multifractal spectrum with adaptive window length[J]. IET Radar, Sonar & Navigation, 2015, 9(7): 835–842. doi: 10.1049/iet-rsn.2014.0286[17] FAN Yifei, LUO Feng, LI Ming, et al. Fractal properties of autoregressive spectrum and its application on weak target detection in sea clutter background[J]. IET Radar, Sonar & Navigation, 2015, 9(8): 1070–1077. doi: 10.1049/iet-rsn.2014.0473[18] TSALLIS C, PLASTINO A R, and ZHENG W M. Power-law sensitivity to initial conditions—New entropic representation[J]. Chaos, Solitons & Fractals, 1997, 8(6): 885–891. doi: 10.1016/S0960-0779(96)00167-1[19] TSALLIS C and BRIGATTI E. Nonextensive statistical mechanics: A brief introduction[J]. Continuum Mechanics and Thermodynamics, 2004, 16(3): 223–235. doi: 10.1007/s00161-004-0174-4[20] FURUICHI S. On uniqueness theorems for Tsallis entropy and Tsallis relative entropy[J]. IEEE Transactions on Information Theory, 2005, 51(10): 3638–3645. doi: 10.1109/TIT.2005.855606[21] 曹克非, 王参军. Tsallis熵与非广延统计力学[J]. 云南大学学报(自然科学版), 2005, 27(6): 514–520. doi: 10.3321/j.issn:0258-7971.2005.06.011CAO Kefei and WANG Canjun. Tsallis entropy and nonextensive statistical mechanics[J]. Journal of Yunnan University, 2005, 27(6): 514–520. doi: 10.3321/j.issn:0258-7971.2005.06.011[22] BUNTE C and LAPIDOTH A. Maximum Rényi entropy rate[J]. IEEE Transactions on Information Theory, 2016, 62(3): 1193–1205. doi: 10.1109/TIT.2016.2521364[23] 范一飞, 罗丰, 李明, 等. 海杂波AR谱多重分形特性及微弱目标检测方法[J]. 电子与信息学报, 2016, 38(2): 455–463. doi: 10.11999/JEIT150581FAN Yifei, LUO Feng, LI Ming, et al. The multifractal properties of AR spectrum and weak target detection in sea clutter background[J]. Journal of Electronics &Information Technology, 2016, 38(2): 455–463. doi: 10.11999/JEIT150581[24] STEIN D W J. Detection of random signals in Gaussian mixture noise[J]. IEEE Transactions on Information Theory, 1995, 41(6): 1788–1801. doi: 10.1109/18.476307[25] SHI Sainan and SHUI Penglang. Sea-surface floating small target detection by one-class classifier in time-frequency feature space[J]. IEEE Transactions on Geoscience and Remote Sensing, 2018, 56(11): 6395–6411. doi: 10.1109/TGRS.2018.2838260 -
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- Figure 1. The average SCR of four polarizations
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Figure 2.
${\log _2}\!\left( {{F^{(q)}}(m)} \right) \sim {\log _2}(m)$ -
Figure 3.
${\log _2}\!\left( {{F^{(q)}}(m)} \right) \sim {\log _2}(m)$ -
Figure 4.
$H(q) \sim q$ - Figure 5. Comparison of Doppler spectrums of target and pure clutter cell
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Figure 6. Normalized two-dimensional graphs of different
$q$ - Figure 7. Histogram of Tsallis entropy of target cell and clutter cells
- Figure 8. Flow chart of proposed algorithm