小波域软阈值降噪的地磁匹配导航仿真研究
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摘要
为消除地磁数据中的噪声和干扰,提高地磁匹配导航的精度和可靠性,采用小波降噪方法对地磁数据进行预处理。通过对小波母函数特性的研究,结合地磁场自身规律提出了地磁数据降噪中小波母函数的选取准则,并根据地磁匹配导航的特点提出了基于误差和相关系数的小波分解层数确定方法。通过对小波降噪主要方法的定性分析,采用了小波域软阈值降噪方法。选取4个小波母函数进行了地磁数据降噪和匹配导航仿真实验,实验结果表明小波域软阈值降噪方法是可行有效的,且sym4小波母函数的综合性能最优。
To eliminate noise and magnetic disturbance from surveyed data of geomagnetic field and improve the accuracy and reliability of geomagnetic matching navigation, a denoising method based on wavelet transform is proposed for pretreatment.Selecting rules of generating wavelets are given after researching the characteristics of generating wavelets and the mechanism of geomagnetic field,and a method to determine the number of decomposition layers for wavelet analysis based on errors and correlative coefficients is also put forward according to the demands of geomagnetic matching navigation.The denoising method based on soft-threshold is adopted through the qualitative analysis of the main denoising methods in wavelet field,and four generating wavelets are used in simulation experiments of geomagnetic data denosing and geomagnetic matching navigation.Simulation results show that the proposed method is feasible and effective, and sym4 is the optimal one of the four wavelets used in this paper for its comprehensive performances.
引文
[1]杨云涛,石志勇,吕建刚,等.适于地磁导航的高精度区域地磁场建模研究[J].兵工学报,2009,30(3):380-384.YANG Yun-tao,SHI Zhi-yong,LV Jian-gang,et al.Study onmodeling of high accuracy regional geomagnetic field used for thegeomagnetic navigation[J].Acta Armamentarii,2009,30(3):380-384.(in Chinese)
    [2]黄学功,房建成,刘刚,等.地磁图制备方法及其有效性评估[J].北京航空航天大学学报,2009,35(7):891-894.HUANG Xue-gong,FANG Jian-cheng,LIU Gang,et al.Geo-magnetic mapping and validity estimation[J].Journal of BeijingUniversity of Aeronautics and Astronautics,2009,35(7):891-894.(in Chinese)
    [3]赵建虎,王胜平,王爱学.一种改进型TERCOM水下地磁匹配导航算法[J].武汉大学学报(信息科学版),2009,34(11):1320-1323.ZHAO Jian-hu,WANG Sheng-ping,WANG Ai-xue.An improvedTERCOM algorithm for underwater geomagnetic matching naviga-tion[J].Journal of Geomatics and Information Science of WuhanUniversity,2009,34(11):1320-1323.(in Chinese)
    [4]施桂国,周军,葛致磊.基于无迹卡尔曼滤波的巡航导航地磁自主导航方法[J].兵工学报,2008,29(9):1088-1093.SHI Gui-guo,ZHOU Jun,GE Zhi-lei.Geomagnetic autonomousnavigation technology of cruise missile based on the unscented Kal-man filter[J].Acta Armamentarii,2008,29(9):1088-1093.(in Chinese)
    [5]Goldenberg F.Geomagnetic navigation beyond magnetic compass[C]∥PLANS,San Diego:IEEE Press,2006:684-694.
    [6]程正兴,杨守志,冯晓霞.小波分析的理论算法进展和应用[M].北京:国防工业出版社,2007:1-9.CHENG Zheng-xing,YANG Shou-zhi,FENG Xiao-xia.Theory,algorithm,progress and applications of wavelet analysis[M].Bei-jing:National Defense Industry Press,2007:1-9.(in Chinese)
    [7]潘泉,张磊,孟晋丽,等.小波滤波方法及应用[M].北京:清华大学出版社,2005:46-92.PAN Quan,ZHANG Lei,MENG Jin-li,et al.Methods and appli-cations of wavelet filtering[M].Beijing:Tsinghua UniversityPress,2005:46-92.(in Chinese)
    [8]刘天佑.位场勘探数据处理新方法[M].北京:科学出版社,2007:1-56.LIUTian-you.Newdata processing methods for potential field explo-ration[M].Beijing:Science Press,2007:1-56.(in Chinese)
    [9]陈建光,宋雪丽,吴洪举,等.小波技术在磁偏角信号消噪中的应用[J].测绘通报,2003,25(8):10-12.CHEN Jian-guang,SONG Xue-li,WU Hong-ju,et al.Applica-tions of wavelet analysis on the noise-filtering of magnetic deviationsignal[J].Journal of Topography Bulletins,2003,25(8):10-12.(in Chinese)
    [10]于波,翟国君,刘雁春,等.一种海洋磁力测量降噪的有效方法[J].测绘科学技术学报,2009,26(3):200-203.YUBo,ZHAI Guo-jun,LIU Yan-chun,et al.A novel methodfor de-nosing in marine magnetic survey[J].Journal of Geomat-ics Science and Technology,2009,26(3):200-203.(in Chi-nese)
    [11]谢仕民,王子静,钟钧宇,等.小波降噪技术在地磁数据库预处理中的应用研究[J].战术导弹控制技术,2008,30(2):15-19.XIE Shi-min,WANG Zi-jing,ZHONG Jun-yu,et al.Aresearchon the application of wavelet de-nosing technique in pretreatmentof geomagnetism database[J].Journal of Control Technology ofTactical Missile,2008,30(2):15-19.(in Chinese)
    [12]Donoho D L.De-noising by soft-thresholding[J].IEEE Trans onInform Theory,1995,41(5):613-627.
    [13]万晟聪,杨新.基于自适应小波阈值的沿海滩涂LIDAR图像降噪研究[J].信号处理,2009,25(6):874-881.WAN Sheng-cong,YANG Xin.SAR image denoising based onadaptive wavelet thresholding[J].Journal of Signal Processing,2009,25(6):874-881.(in Chinese)
    [14]张吉先,钟秋海,戴亚平.小波门限消噪法应用中分解层数及阈值的确定[J].中国电机工程学报,2004,24(2):118-122.ZHENG Ji-xian,ZHONG Qiu-hai,DAI Ya-ping.The determina-tion of the threshold and decomposition order in threshold de-noi-sing method based on wavelet transform[J].Chinese Journal ofElectrical Engineering,2004,24(2):118-122.(in Chinese)
    [15]万永芳,杨马陵.前兆水位数据处理中的小波基及其参数选择方法研究[J].地震,2009,29(2):64-73.WAN Yong-fang,YANG Ma-ling.Selection method of waveletbasis and its parameters in precursory water level data processing[J].Journal of Earthquake,2009,29(2):64-73.(in Chi-nese)
    [16]郑钧,侯锐锋.小波去噪中小波基的选择[J].沈阳大学学报,2009,21(2):108-110.ZHANG Jun,HOU Rui-feng.Selection of wavelet base in de-noising of wavelet transform[J].Journal of Shenyang University,2009,21(2):108-110.(in Chinese)

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