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基于高斯和近似的扩展切片高斯混合滤波器及其在多径估计中的应用

DOI: 10.3724/SP.J.1004.2013.00001, PP. 1-10

Keywords: 非高斯噪声,高斯和,概率密度函数,切片高斯混合滤波器,多径估计

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Abstract:

?全球卫星导航系统(Globalnavigationsatellitesystem,GNSS)信号的多径估计问题实际上是条件线性状态空间模型下的状态估计问题.根据高斯和理论提出了适用于非高斯噪声环境的扩展切片高斯混合滤波(ExtensionofslicedGaussianmixturefilter,ESGMF)算法.该算法将非高斯噪声的状态概率密度函数(Probabilitydensityfunction,PDF)表示为高斯和的形式,将ESGMF通过一组并行的切片高斯混合滤波器(SlicedGaussianmixturefilter,SGMF)来实现.同时,在ESGMF算法中利用粒子滤波(Particlefilter,PF)中重采样的思想对成指数增加的状态预测PDF的高斯混合个体进行约简,以提高贝叶斯推理的效率.该算法可以获得非高斯噪声下状态PDF的迭代解析表达式.最后,将ESGMF应用于GPS多径参数估计,仿真结果表明,ESGMF算法的估计精度优于基于PF和扩展卡尔曼滤波(ExtendedKalmanfilter,EKF)的算法.

References

[1]  An De-Xi, Liang Yan, Zhou Dong-Hua. A robust adaptive filter based on online filter parameter identification. Acta Automatica Sinica, 2004, 30(4): 560-566(安德玺, 梁彦, 周东华. 一种基于滤波参数在线辨识的鲁棒自适应滤波器. 自动化学报, 2004, 30(4): 560-566)
[2]  Klumpp V, Sawo F, Hanebeck U D, Franken D. The sliced Gaussian mixture filter for efficient nonlinear estimation. In: Proceedings of the 11th International Conference on Information Fusion. Cologne, Germany: IEEE, 2008. 1-8
[3]  Kotecha J H, Djuric P M. Gaussian sum particle filtering. IEEE Transactions on Signal Processing, 2003, 51(10): 2602-2612
[4]  Lin Qing, Yin Jian-Jun, Zhang Jian-Qiu, Hu Bo. Gaussian sum filtering methods for nonlinear non-Gaussian models. Systems Engineering and Electronics, 2010, 32(12): 2494-2499(林青, 尹建军, 张建秋, 胡波. 非线性非高斯模型的高斯和滤波算法. 系统工程与电子技术, 2010, 32(12): 2494-2499)
[5]  Alspach D L, Sorenson H W. Nonlinear Bayesian estimation using Gaussian sum approximations. IEEE Transactions on Automatic Control, 1972, 17(4): 439-448
[6]  Saha N, Roy D. A Girsanov particle filter in nonlinear engineering dynamics. Physics Letters A, 2009, 373(6): 627-635
[7]  Schon T, Gustafsson F, Nordlund P J. Marginalized particle filters for mixed linear/nonlinear state-space models. IEEE Transactions on Signal Processing, 2005, 53(7): 2279-2289
[8]  Chen A, Chabory A, Escher A C, Macabiau C. Comparisons of multipath modeling strategies for the estimation of GPS positioning error. In: Proceedings of the 3rd European Conference on Antennas and Propagation. Berlin, Germany: IEEE, 2009. 2300-2304
[9]  Lentmaier M, Krach B, Robertson P. Bayesian time delay estimation of GNSS signals in multipath dynamic environments. International Journal of Navigation and Observation, 2008. Article ID: 372651
[10]  Sahmoudi M, Amin M G. Robust tracking of weak GPS signals in multipath and jamming environments. Signal Processing, 2009, 89(7): 1320-1333
[11]  Cheng Lan, Chen Jie, Gan Ming-Gang. Modeling and analysis of multipath eliminating technique of PN code ranging receiver. Transactions of Beijing Institute of Technology, 2011, 31(3): 318-323(程兰, 陈杰, 甘明刚. 伪码测距接收机中MET技术误差建模与分析. 北京理工大学学报, 2011, 31(3): 318-323)
[12]  Sengupta D, Kay S. Efficient estimation of parameters for non-Gaussian autogressive processes. IEEE Transactions on Acoustics, Speech and Signal Processing, 1989, 37(6): 785-794
[13]  Klumpp V, Hanebeck U D. Dirac mixture trees for fast suboptimal multi-dimensional density approximation. In: Proceedings of the 2008 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems. Seoul, Korea: IEEE, 2008. 593-600
[14]  Sun Li, Wang Yin-Feng, Zhang Qi-Shan. Multipath effects on GPS carrier phase observable. Acta Aeronautica et Astronautica Sinica, 1998, 19(S1): 76-78(孙礼, 王银锋, 张其善. 多径效应对GPS载波相位观测量的影响. 航空学报, 1998, 19(S1): 76-78)
[15]  Alfi A. PSO with adaptive mutation and inertia weight and its application in parameter estimation of dynamic system. Acta Automatica Sinica, 2011, 37(5): 541-549
[16]  Hanebeck U D, Briechle K, Rauh A. Progressive Bayes: a new framework for nonlinear state estimation. In: Proceedings of the International Society for Optical Engineering. Orlando, FL, USA: SPIE, 2003, 5099: 256-267
[17]  Song Qi, Han Jian-Da. An adaptive UKF algorithm for the state and parameter estimations of a mobile robot. Acta Automatica Sinica, 2008, 34(1): 72-79(宋崎, 韩建达. 一种用于移动机器人状态和参数估计的自适应UKF算法. 自动化学报, 2008, 34(1): 72-79)
[18]  Sorenson H W, Alspach D L. Recursive Bayesian estimation using Gaussian sums. Automatica, 1971, 7(4): 465-479
[19]  Caputi M J, Moose R L. A modified Gaussian sum approach to estimation of non-Gaussian signals. IEEE Transactions on Aerospace and Electronic Systems, 1993, 29(2): 446-451
[20]  Zhu Zhi-Yu. Particle Filter Algorithm and Its Application. Beijing: Science Press, 2010. 27-32(朱志宇. 粒子滤波算法及其应用. 北京: 科学出版社, 2010. 27-32)
[21]  Schrempf O C, Hanebeck U D. Recursive prediction of stochastic nonlinear systems based on optimal dirac mixture approximations. In: Proceedings of the 2007 American Control Conference. New York, USA: IEEE, 2007. 1768-1774
[22]  Horst J, Sawo F, Klumpp V, Haneback U D, Franken D. Extension of the sliced Gaussian mixture filter with application to cooperative passive target tracking. In: Proceedings of the 12th International Conference on Information Fusion. Seattle, WA, USA: IEEE, 2009. 587-594
[23]  Van Nee D J R. The multipath estimation delay lock loop. In: Proceedings of the 2nd IEEE International Symposium on Spread Spectrum Techniques and Applications. Yokohama, Japan: IEEE, 1992. 39-42
[24]  Wang Xian, Yuan Hong. GPS multipath estimation based particle filtering. Control and Decision, 2010, 25(8): 1139-1148(王宪, 袁洪. 基于粒子滤波的GPS多径估计. 控制与决策, 2010, 25(8): 1139-1148)
[25]  Cheng Lan, Chen Jie, Gan Ming-Gang. Multipath error analysis of carrier tracking loop in GPS receiver. In: Proceedings of the 29th Chinese Control Conference. Beijing, China: IEEE, 2010. 4137-4141(程兰, 陈杰, 甘明刚. GPS接收机载波跟踪多径误差分析. 第29届中国控制会议论文集. 北京, 中国: IEEE, 2010. 4137-4141)
[26]  Chen J, Cheng L, Gan M G. Modeling of GPS code and carrier tracking error in multipath. Chinese Journal of Electronics, 2012, 21(1): 78-84
[27]  Stein D W J. Detection of random signals in Gaussian mixture noise. IEEE Transactions on Information Theory, 1995, 41(6): 1788-1801
[28]  Soubielle J, Fijalkow I, Duvaut P, Bibaut A. GPS positioning in a multipath environment. IEEE Transactions on Signal Processing, 2002, 50(1): 141-150

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