Study of Gaussianization Processing Based on Symmetric Alpha-stable Distribution Modeling
-
摘要: 针对非高斯背景干扰下的弱信号检测需求，在综述高斯化处理与扩展匹配滤波概念及思路的基础上，该文提出了两种基于对称α稳定分布建模的高斯化处理方法，构建了相应的扩展匹配滤波检测器，并对比早先建立的混合高斯分布下的高斯化处理，对其高斯化效果、对应检测性能、运行速度等进行了仿真研究。研究表明，高斯化处理可以降低背景干扰的非高斯性，从而提高后续匹配滤波的检测性能；基于对称α稳定分布的高斯化处理，在保持性能的同时，具有更高的运行效率。Abstract: Considering the requirement for weak signal detection in non-Gaussian background interference, after conceptions and ideas summarizing for Gaussianization processing and extended matched filter, two Gaussianizaiton filters and corresponding detections are proposed based on symmetric alpha-stable distribution modeling, comparing with those under Gaussian mixture modeling proposed earlier. All these Gaussianization filters and extended matched filters are realized in simulation. Their performances, such as Gaussianzing effect, detecting capability and running time are studies in system. Some conclusions are reached: Gaussianization can improve the detecting performance of the succeeding matched filter because of its restraining of big impulsive samples; Gaussianization filters under symmetric alpha-stable distribution modeling have higher operatiing efficiency while their peformance are similar to those under Gaussian mixture modeling.
-
表 1 各EMF运行时间统计比较(基于1000次检测)
CMF EMF-Ua EMF-Ugc EMF-Ugm 均值 (ms) 0.3746 1.4699 0.4112 60.0990 方差 (ms2) 0.0014 0.0039 0.0012 43.6956 
下载: 导出CSV
-
王平波. 主动声纳非高斯信号处理技术研究[D]. 海军工程大学, 2006.WANG Pingbo. Study on non-Gaussian signal processing in active sonar[D]. Naval University of Engineering, 2006. 罗忠涛, 卢鹏, 张杨勇, 等. 大气噪声幅度分布与抑制处理分析[J]. 系统工程与电子技术, 2018, 40(7): 1443–1448. doi: 10.3969/j.issn.1001-506X.2018.07.05LUO Zhongtao, LU Peng, ZHANG Yangyong, et al. Analysis on amplitude distribution and suppression tech-niques of atmospheric noise[J]. Systems Engineering and Electronics, 2018, 40(7): 1443–1448. doi: 10.3969/j.issn.1001-506X.2018.07.05 王平波, 蔡志明. 有色非高斯背景下微弱信号的Rao有效绩检验[J]. 电子学报, 2007, 35(3): 534–538. doi: 10.3321/j.issn:0372-2112.2007.03.031WNAG Pingbo and CAI Zhiming. The Rao efficient scores test of weak signals in colored non-Gaussian back-ground[J]. Acta Electronica Sinica, 2007, 35(3): 534–538. doi: 10.3321/j.issn:0372-2112.2007.03.031 王平波, 蔡志明. 主动信号检测中干扰背景的高斯化处理[J]. 数据采集与处理, 2006, 21(4): 413–417. doi: 10.3969/j.issn.1004-9037.2006.04.008WANG Pingbo and CAI Zhiming. Gaussianization for background interference in active signal detection[J]. Journal of Data Acquisition &Processing, 2006, 21(4): 413–417. doi: 10.3969/j.issn.1004-9037.2006.04.008 SHAO M and NIKIAS C L. Signal processing with frac-tional lower order moments: Stable processes and their applications[J]. Proceedings of the IEEE, 1993, 81(7): 986–1010. doi: 10.1109/5.231338 RUPI M, TSAKALIDES P, and NIKIAS C L. Robust constant modulus array based on fractional lower order statistics [C]. IEEE International Conference on Acoustics, Speech, and Signal Processing, 1999, 5: 2945–2948. doi: 10.1109/ ICASSP.1999.761380. WANG Pingbo, WEI Hongkai, HU Jinhua, et al. An adaptive beamforming algorithm for underwater acoustic signal based on α-stable distribution[C]. 2014 IEEE Workshop on Electronics, Computer and Ap-plications, Ottawa, Canada, 2014: 657–659. doi: 10.1109/IWECA.2014.6845705. ZHANG Guoyong, WANG Jun, YANG Guosheng, et al. Nonlinear processing for correlation detection in symmetric Alpha-stable noise[J]. IEEE Signal Processing Letters, 2018, 25(1): 120–124. doi: 10.1109/LSP.2017.2776317 孟庆松, 王彬, 邵高平. α稳定分布噪声下水声线性调频信号的识别[J]. 系统工程与电子技术, 2018, 40(7): 1449–1456. doi: 10.3969/j.issn.1001-506X.2018.07.06MENG Qingsong, WANG Bing, and SHAO Gaoping. Recognition of underwater acoustic linear frequency mod-ulation signals in α stable distribution noise[J]. Systems Engineering and Electronics, 2018, 40(7): 1449–1456. doi: 10.3969/j.issn.1001-506X.2018.07.06 彭成. 基于分数低阶统计量的非高信号处理技术研究[D]. 海军工程大学, 2014.PENG Cheng. Study on non-Gaussian signal processing based on fractional lower order statistics[D]. Naval Uni-versity of Engineering, 2014. 王余, 王本猛, 卫红凯, 等. 对称α稳定分布特性及其参数估计方法研究[J]. 舰船电子工程, 2017, 37(4): 116–121. doi: 10.3969/j.issn.1672-9730.2017.04.029WANG Yu, WANG Benmeng, WEI Hongkai, et al. Sym-metrical alpha stable distribution and its parameter estima-tion method[J]. Ship Electronic Engineering, 2017, 37(4): 116–121. doi: 10.3969/j.issn.1672-9730.2017.04.029 LI X T, SUN J, JIN L W, et al. Bi-parameter CGM model for approximation of α-stable PDF[J]. Electronics Letters, 2008, 44(18): 1096–1097. doi: 10.1049/el:20080955 LI Xutao, JIN Lianwen, and WANG Shouyong. A simpli-fied non-gaussian mixture model for signal LO detection in a-stable interference[C]. 2008 Congress on Image and Signal Processing, Sanya, China, 2008: 403–407. doi: 10.1109/CISP.2008.89. 李旭涛, 王首勇. α稳定噪声中基于双参数CGM模型的Rao检测[J]. 电子学报, 2011, 39(9): 2014–2018.LI Xutao and WANG Shouyong. BCGM based Rao detec-tion in α-stable noise[J]. Acta Electronica Sinica, 2011, 39(9): 2014–2018. LI Xutao, SUN Jun, WANG Shouyong, et al. Near-optimal detection with constant false alarm ratio in varying impulsive interference[J]. IET Signal Processing, 2013, 7(9): 824–832. doi: 10.1049/iet-spr.2013.0024 -
图(7) / 表(1)
计量
- 文章访问数: 2270
- HTML全文浏览量: 854
- PDF下载量: 94
- 被引次数: 0
下载:
