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AN ALGORITHM FOR COMBINED CODE AND CARRIER PHASE BASED GPS POSITIONING

机译：基于组合码和载波相位的GPS定位算法

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The Global Positioning System (GPS) is a satellite based navigation system. GPS satellites transmit signals that allow one to quite accurately estimate the location of GPS receivers. In GPS a typical technique for kinematic position estimation is relative positioning where two receivers are used, one receiver is stationary and its exact position is known, the other is roving and its position is to be estimated. We describe the physical situation and give the mathematical model based on the difference of the measurements at the stationary and roving receivers. The model we consider combines both the code and carrier phase measurements. We then present a recursive least squares approach for position estimation. We take full account of the structure of the problem to make our algorithm efficient, and use orthogonal transformations to ensure numerical reliability of the algorithm. Real data test results suggest our algorithm is effective. An additional benefit of this approach is that the drawbacks of double differencing are avoided. The paper could also serve as a straightforward introduction for numerical analysts to an interesting area of GPS.
机译：全球定位系统（GPS）是基于卫星的导航系统。 GPS卫星发射的信号使人们可以相当准确地估计GPS接收器的位置。在GPS中，用于运动学位置估计的典型技术是使用两个接收器的相对定位，其中一个接收器是固定的，其确切位置已知，另一个正在巡回，其位置将被估计。我们描述了物理情况，并根据固定接收器和粗纱接收器测量值的差异给出了数学模型。我们考虑的模型结合了代码和载波相位测量。然后，我们提出用于位置估计的递归最小二乘法。我们充分考虑了问题的结构以使我们的算法高效，并使用正交变换来确保算法的数值可靠性。实际数据测试结果表明我们的算法是有效的。这种方法的另一个好处是避免了双重差分的缺点。该论文还可以作为数值分析人员对GPS有趣领域的直接介绍。

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