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基于SαS分布的高斯化處理研究

王平波,  代振,  衛(wèi)紅凱

王平波, 代振, 衛(wèi)紅凱. 基于SαS分布的高斯化處理研究[J]. 電子與信息學(xué)報, 2020, 42(9): 2239-2245. doi: 10.11999/JEIT190539
引用本文: 王平波, 代振, 衛(wèi)紅凱. 基于SαS分布的高斯化處理研究[J]. 電子與信息學(xué)報, 2020, 42(9): 2239-2245. doi: 10.11999/JEIT190539
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

基于SαS分布的高斯化處理研究

doi: 10.11999/JEIT190539

  • 海軍工程大學(xué) 武漢 430033

詳細(xì)信息
    作者簡介:

    王平波：男，1976年生，博士生導(dǎo)師，研究方向為水聲信號處理、聲吶作戰(zhàn)使用等

    通訊作者:

    代振　1663548598@qq.com

  • 中圖分類號: TN911.7

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

  • Naval University of Engineering, Wuhan 430033, China

  • 摘要: 針對非高斯背景干擾下的弱信號檢測需求，在綜述高斯化處理與擴(kuò)展匹配濾波概念及思路的基礎(chǔ)上，該文提出了兩種基于對稱α穩(wěn)定分布建模的高斯化處理方法，構(gòu)建了相應(yīng)的擴(kuò)展匹配濾波檢測器，并對比早先建立的混合高斯分布下的高斯化處理，對其高斯化效果、對應(yīng)檢測性能、運(yùn)行速度等進(jìn)行了仿真研究。研究表明，高斯化處理可以降低背景干擾的非高斯性，從而提高后續(xù)匹配濾波的檢測性能；基于對稱α穩(wěn)定分布的高斯化處理，在保持性能的同時，具有更高的運(yùn)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.
    • HTML全文

  • 圖  1  不同非高斯情形下的Ugm濾波響應(yīng)

    圖  2  不同非高斯情形下的Ua濾波響應(yīng)

    圖  3  不同非高斯情形下的Ugc濾波響應(yīng)

    圖  4  EMF檢測器構(gòu)成

    圖  5  各U濾波輸出數(shù)據(jù)及其高斯型檢驗

    圖  6  各EMF檢測輸出

    圖  7  各種檢測的ROC曲線

    表  1  各EMF運(yùn)行時間統(tǒng)計比較(基于1000次檢測)

    CMFEMF-UaEMF-UgcEMF-Ugm
    均值 (ms)0.37461.46990.411260.0990
    方差 (ms2)0.00140.00390.001243.6956
    下載: 導(dǎo)出CSV
  • 王平波. 主動聲納非高斯信號處理技術(shù)研究[D]. 海軍工程大學(xué), 2006.

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    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
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    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
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    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
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    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
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出版歷程
  • 收稿日期:  2019-07-17
  • 修回日期:  2020-04-20
  • 網(wǎng)絡(luò)出版日期:  2020-04-30
  • 刊出日期:  2020-09-27

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