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为了进一步增强星基导航系统的完好性性能,提出了一种基于解析法的用户差分距离误差计算方法。文中首先介绍了卫星时钟和星历改正数的计算方法,认为计算用户差分距离误差的关键是查找卫星服务区域内的最差用户位置。通过变换卫星时钟和星历误差协方差矩阵,将查找最差用户位置变换成一个解析几何问题,通过数学推导得出最差用户位置的解析式,进而求解用户差分距离误差。通过计算机仿真对比了解析法和遍历法之间的性能差异,结果表明:解析法的正确性由遍历法得到了验证,解析法可以减少90%的运行时间并且具有更低的计算复杂度,便于工程实现。
In order to further improve the integrity performance of satellite-based navigation system, a method of user differential distance error calculation based on analytical method is proposed. Firstly, the calculation method of satellite clock and ephemeris correction is introduced. The key to calculating the user ’s differential distance error is finding the worst user location in the satellite service area. By transforming the satellite clock and ephemeris error covariance matrix, the worst user location is transformed into an analytic geometry problem, and the analytic formula of the worst user location is obtained through mathematical derivation so as to solve the user differential distance error. Comparing the performance difference between analytic method and ergodic method through computer simulation, the results show that the correctness of analytic method is verified by ergodic method, analytic method can reduce the running time by 90% and has lower computational complexity, Project realization.