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On GPS positioning and integrity monitoring

机译：关于GPS定位和完整性监控

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The paper reinvestigates the measurement model associated with Global Positioning System (GPS) signal processing. It is argued that the GPS positioning model is better formulated as a linear equation with errors in both the data matrix and measurement variables. Furthermore, depending on the nature of the measurement errors, the model is categorized into unstructured and structured perturbation cases. In the former, the total least squares method is proposed for position fixing and clock bias determination. In the latter, an iteration method is developed to search for the optimal solution. In addition to the position update, both the total least squares and optimization methods provide estimates of the model mismatch which leads to a measure of GPS receiver autonomous integrity monitoring. Two new GPS fault detection metrics are then proposed and discussed. The first integrity test statistic is the norm of the residual vector in the total least squares estimate. Statistical properties of this test statistic are obtained for integrity monitoring. The second metric is a two-dimensional vector that characterizes the norm of the residual vector and mismatch matrix, both are outcomes of the total least squares method or the optimization method. The positioning and integrity monitoring schemes are verified using simulated examples
机译：本文重新研究了与全球定位系统（GPS）信号处理相关的测量模型。有人认为，最好将GPS定位模型表述为在数据矩阵和测量变量中均具有误差的线性方程。此外，根据测量误差的性质，将模型分为非结构化和结构化扰动情况。在前者中，提出了总最小二乘法来确定位置和确定时钟偏差。在后者中，开发了一种迭代方法来搜索最佳解。除了位置更新之外，总最小二乘法和优化方法都提供了模型不匹配的估计，这导致了GPS接收机自主完整性监控的措施。然后提出并讨论了两个新的GPS故障检测指标。第一个完整性测试统计量是总最小二乘估计中残差向量的范数。获得此测试统计量的统计属性以进行完整性监视。第二个度量是一个二维矢量，它表示残差矢量和失配矩阵的范数，二者都是总最小二乘法或优化方法的结果。通过仿真实例验证了定位和完整性监控方案

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