MCMC粒子滤波的GPS定位数据处理算法
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沈阳航空航天大学电子信息工程学院,沈阳航空航天大学电子信息工程学院,沈阳航空航天大学电子信息工程学院

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国家自然科学基金青年基金;航空科学基金;辽宁省博士启动基金


Research on GPS positioning data processing algorithm based on particle filter
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School of Electronic and Information Engineering, Shenyang Aerospace University,School of Electronic and Information Engineering, Shenyang Aerospace University,School of Electronic and Information Engineering, Shenyang Aerospace University

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    摘要:

    针对基于传统粒子滤波的GPS定位数据处理方法存在粒子退化的问题,提出了基于马尔可夫蒙特卡罗(MCMC)粒子滤波的GPS定位数据处理算法,对每个粒子引入典型的MCMC方法—Metropolis Hastings(MH)抽样算法。利用观测伪距非高斯误差分布建立重要密度函数,将MCMC粒子滤波与建立的GPS系统非线性状态空间模型有机结合。实测数据试验结果表明,MCMC粒子滤波算法可有效抑制粒子退化问题,有效解决了GPS定位数据滤波这一非线性非高斯问题,避免了噪声的高斯假设和非线性部分的线性化误差,与基于传统粒子滤波的GPS定位数据处理方法相比,该方法降低了定位数据经纬度估计误差和速度估计误差,获得了更高的GPS定位精度,并能够在GPS信号质量较差的情况下,对GPS定位数据进行有效滤波,保证载体在此期间内保持较高的位置精度。

    Abstract:

    GPS positioning data processing algorithm based on the Markov Chain and Monte Carlo(MCMC) particle filter was proposed to solve the problem that GPS positioning data processing based on the simple particle filter suffers from severe sample degeneracy. The standard MCMC method, Metropolis Hsstings (MH) sampling, was incorporated into the filtering framework , and was applied to the GPS positioning data processing problem. It is combined the particle filter with the GPS system nonlinear dynamic state-space model. The MCMC method is adapted to solve the degeneracy phenomenon of particle filter (PF). It is an effective algorithm to the nonlinear and non-Gaussian state estimation problem of GPS positioning data processing. Experimental results based on the real GPS data showed that the MCMC particle filter can increase the sample variety and reduce sample degeneracy. GPS positioning data processing based on the MCMC particle filter is much more accurate, compared with GPS positioning data processing based on the simple particle filter. Moreover, the MCMC particle filter can provide a high accurate positioning value as an aided plan when the GPS signal quality is poor.

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王尔申,蔡明,庞涛. MCMC粒子滤波的GPS定位数据处理算法[J].数据采集与处理,2013,28(2):213-

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  • 收稿日期:2012-08-12
  • 最后修改日期:2012-10-18
  • 录用日期:2012-12-20
  • 在线发布日期: 2013-04-25