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GNSS World of China

GNSS World of China

LI Chuan, WEI Shiyu, LIU Xing, LIU Lian, HU Zhumin. The application of Kalman filter with colored noise in mitigation of multi-path error[J]. GNSS World of China, 2019, 44(1): 62-67. DOI: DOI:10.13442/j.gnss.1008-9268.2019.01.009
Citation: LI Chuan, WEI Shiyu, LIU Xing, LIU Lian, HU Zhumin. The application of Kalman filter with colored noise in mitigation of multi-path error[J]. GNSS World of China, 2019, 44(1): 62-67. DOI: DOI:10.13442/j.gnss.1008-9268.2019.01.009

The application of Kalman filter with colored noise in mitigation of multi-path error

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  • Multi-path error is a space-time environment effect, it is difficult to eliminate it through building accurate mathematical model, and the error also has no spatial correlation at both ends of the baseline, it can't eliminate it through using the differential technology, it is one of the main errors in GNSS high accuracy measurement of short baseline. To further mitigate the multi-path error, this paper take the multi-path error in GNSS carrier phase observation value as the research object, establish the multi-path error state space model, estimate the multipath error correction sequence from coordinate residual sequence adopt the standard Kalman filter and the Kalman filter with colored noise, and based on the daily repetition characteristics of multi-path error, correct the coordinate sequences of the subsequent days using the multi-path error correction sequence obtained on the first day. Finally, through the experimental analysis, it is concluded that the Kalman filter with colored noise estimation method is better than the standard Kalman filter. The research results are of great practical value to improve GNSS positioning accuracy.
  • 夏林元. GPS观测值中的多路径效应理论研究及数值结果[D]. 武汉: 武汉大学, 2001.
    李征航,黄劲松.GPS测量与数据处理[M].武汉:武汉大学出版社,2010:116-119.
    李川, 刘星, 石明旺,等. GPS多路径误差特性分析及削弱方法[J]. 导航定位学报, 2017,5(1):103-107.
    过静珺,商瑞斌,李毓麟. 多路径效应对GPS定位影响的研究[J]. 工程勘察,1995,1(2): 46-49.
    VANDIERENDONCK A J, FENTON P, FORD T. Theory and performance of narrow correlator spacing in a GPS Receiver[J]. Navigation, 1993, 39(9): 265-283.
    TOWNSEND B R, FENTON P C. A practical approach to the reduction of pseudorange multipath errors in a L1 GPS receiver.// Proceedings of International Technical Meeting of the Satellite Division of the Institute of Navigation, 1994: 143-148.
    NEE R D J V, SIEREVELD J, FENTON P C, et al. The multipath estimating delay lock loop: approaching theoretical accuracy limits[C]//Position Location and Navigation Symposium. IEEE, 1994: 11-15.
    CHEN  X,DOVIS F,PINI M, et al,Turbo architecture for multipath mitigation in global navigation satellite system receivers, [J].IET Radar Sonar and Navigation,2011,5(5):517-527.
    DONG D, WANG M, CHEN W, et al. Mitigation of multipath effect in GNSS short baseline positioning by the multipath hemispherical map[J]. Journal of Geodesy, 2016, 90(3):255-262.
    刘永义, 党亚民, 薛树强. 基于海面环境多路径效应建模初探[J]. 测绘科学, 2013, 38(1): 122-124.
    KLAMAN. R E  A new approach to linear filtering and prediction problems[J]. Journal of Basic Engineering. 1960(82): 35-45.
    王法胜, 鲁明羽, 赵清杰,等. 粒子滤波算法[J]. 计算机学报, 2014, 37(8): 1679-1694.
    朱志宇. 粒子滤波算法及其应用[M]. 北京:科学出版社, 2010.
    黄声享,尹晖,蒋征,等.变形监测数据处理[M].武汉:武汉大学出版社, 2010.
    邱卫宁,陶本藻,姚宜斌,等. 测量数据处理理论与方法[M].武汉:武汉大学出版社, 2008.
    刘星,李川,石明旺,等.卡尔曼滤波算法的GPS双差观测值周跳探测与修复[J].测绘科学,2018,43(1):1-5,19.
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