| 基于偏差矫正的有偏估计及其在GPS快速定位中的应用 |
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| 引用本文： | 郭杰,郭淑妹,张宁.基于偏差矫正的有偏估计及其在GPS快速定位中的应用[J].测绘科学技术学报,2015(3):241-243. |
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| 作者姓名： | 郭杰 郭淑妹 张宁 |
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| 作者单位： | 信息工程大学,河南 郑州,450001 |
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| 基金项目： | 国家自然科学基金项目(41174005；41474009)；中国卫星导航学术年会青年优秀论文获奖者资助课题。 |
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| 摘 要： | 基于偏差矫正的一般理论提出了不适定问题的新的有偏估计。在病态条件下,Gauss-Markov模型参数的最优线性无偏估计,即LS估计是不稳健的,所得估值方差较大,严重偏离真值。因此,文中放弃了对参数估计无偏性的限制,考虑有偏估计的偏差,结合偏差矫正的正则化解法的一般理论提出了一种新的基于偏差矫正的有偏估计;结合岭估计中参数的选择方法确定了替代矩阵。最后通过GPS动态定位算例,验证了新估计的稳定性和有效性。
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| 关 键 词： | GPS快速定位 偏差矫正正则化 均方误差 病态性 有偏估计 |
Biased Estimation by the Biased-Corrected Theory and Its Applications in GPS Rapid Positioning |
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| GUO Jie
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GUO Shumei
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ZHANG Ning.Biased Estimation by the Biased-Corrected Theory and Its Applications in GPS Rapid Positioning[J].Journal of Zhengzhou Institute of Surveying and Mapping,2015(3):241-243. |
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| Authors: | GUO Jie GUO Shumei ZHANG Ning |
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| Abstract: | The new biased estimation to treat the imposed problems was put forward based on the biased-corrected theory. In a linear ill-conditioned Gauss-Markov model, the best linear uniformly unbiased estimators are not ro-bust, biased far from the truth. In this paper, by giving up the unbiasedness constraintand based on the biased-cor-rectedtheory, a new biased estimator called best homogeneously linear estimatoris was proposed. The computing re-sults of GPS data state that the new estimator is highly efficient and stable. |
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| Keywords: | GPS rapid positioning biased-corrected regularization mean squared error ill-conditioned biased estimator |
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