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GPS随机模型最优不变二次无偏估计算法及实现
引用本文:刘志强,黄张裕.GPS随机模型最优不变二次无偏估计算法及实现[J].测绘科学,2008,33(6):158-159,80.
作者姓名:刘志强  黄张裕
作者单位:河海大学土木工程学院,南京,210098;河海大学土木工程学院,南京,210098
摘    要:目前GPS基线解算通常采用简化的等权随机模型,在复杂观测环境下采用该模型将影响定位结果的精度和可靠性。本文结合方差-协方差分量估计理论,论述了利用最优不变二次无偏估计(BIQUE)方法建立GPS精密随机模型的迭代算法,并进行了相应的软件模块设计。算例分析结果表明,该算法用于GPS随机模型精化是可行的,与等权随机模型比较,所建立的GPS双差观测值方差-协方差阵更符合实际,能有效地提高整周模糊度的可靠性和定位精度。

关 键 词:GPS  随机模型  最优不变二次无偏估计

Research and implementation of refined GPS stochastic model based on best invariant quadratic unbiased esti
LIU Zhi-qiang,HUANG Zhang-yu.Research and implementation of refined GPS stochastic model based on best invariant quadratic unbiased esti[J].Science of Surveying and Mapping,2008,33(6):158-159,80.
Authors:LIU Zhi-qiang  HUANG Zhang-yu
Abstract:Equal-weight stochastic model is now widely used in GPS baseline solution.However,the accuracy and reliability of GPS positioning results will be degraded under complicated observing circumstances using such simplified stochastic model.Based on the theory of estimation of variance-covariance components,an iterative algorithm of Best Invariant Quadratic Unbiased Estimation and its implementation are proposed to refine the GPS stochastic model.Test results indicate that the proposed algorithm can more properly determine the variance-covariance matrix of GPS double-differenced observations comparing with the simplified equal-weight stochastic model.And the reliability of ambiguity resolution and accuracy of GPS baseline components are also improved effectively.
Keywords:GPS
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