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从编队卫星的高精度星间相对定位需求出发,基于未来全球导航卫星系统(GNSS)多频信号测量体制的发展,综合利用观测数据与待估参数的几何关系以及待估参数随历元连续变化的约束,根据函数逼近理论,提出基于多频GNSS观测的编队星间相对定位样条表示模型,给出多频数据相对于双频数据、样条表示模型相对于传统逐点模型在改善星间相对位置解算精度方面的理论基础与仿真实例。在复杂误差仿真条件下,通过三频观测数据与样条表示模型的结合,对星间相对位置的估计精度可达到毫米量级。在整周模糊度都正确固定的情况下,利用三频数据比双频数据的精度提高了10%以上,样条表示模型比逐点模型的精度提高了80%以上。
Based on the need of high-precision intersatellite positioning of the formation satellite, based on the future development of multi-frequency signal measurement system of GNSS, the geometric relationship between the observed data and the estimated parameter and the continuous change of the estimated parameter According to the theory of function approximation, a relative position spline representation model based on multi-frequency GNSS observations is proposed. The multi-frequency data is compared with the dual-frequency data. The spline representation model is better than the traditional one-point model in improving the inter- Theoretical basis and simulation examples of relative position solution accuracy. Under the condition of complex error simulation, through the combination of the three-frequency observation data and the spline representation model, the estimation accuracy of the relative position between the stars can reach the order of millimeters. In the case of the whole ambiguity being fixed correctly, the accuracy of using the tri-band data is higher than that of the dual-band data by more than 10%, and the accuracy of the spline representation model is improved by more than 80% over the point-by-point model.