Study of Gaussianization Processing Based on Symmetric Alpha-stable Distribution Modeling

Pingbo WANG; Zhen DAI; Hongkai WEI

doi:10.11999/JEIT190539

Volume 42 Issue 9

Sep. 2020

Turn off MathJax

Article Contents

Article Navigation > Journal of Electronics & Information Technology > 2020 > 42(9): 2239-2245

Pingbo WANG, Zhen DAI, Hongkai WEI. Study of Gaussianization Processing Based on Symmetric Alpha-stable Distribution Modeling[J]. Journal of Electronics & Information Technology, 2020, 42(9): 2239-2245. doi: 10.11999/JEIT190539

Citation:

Pingbo WANG, Zhen DAI, Hongkai WEI. Study of Gaussianization Processing Based on Symmetric Alpha-stable Distribution Modeling[J]. Journal of Electronics & Information Technology, 2020, 42(9): 2239-2245. doi: 10.11999/JEIT190539

Citation:

PDF( 3186 KB)

Study of Gaussianization Processing Based on Symmetric Alpha-stable Distribution Modeling

doi: 10.11999/JEIT190539

Naval University of Engineering, Wuhan 430033, China

Received Date: 2019-07-17
Rev Recd Date: 2020-04-20

Available Online: 2020-04-30

Publish Date: 2020-09-27

Abstract

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.
- Symmetric alpha-stable distribution,
- Non-Gaussian signal processing,
- Gaussianization,
- Extended matched filter

FullText(HTML)

References(15)

References

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.2018.07.05

LUO 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:0372-2112.2007.03.031

WNAG 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.1004-9037.2006.04.008

WANG 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.2018.07.06

MENG 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.1672-9730.2017.04.029

WANG 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

Relative Articles

Supplements(0)

Cited By

Proportional views