Existing trajectory data reconstruction algorithms for tracking, telemetry, and command (TT&C) channel simulators cannot achieve continuity and noise reduction simultaneously. By combining the B-spline interpolation algorithm with the least-square (LS) approximation algorithm, we propose a novel trajectory data reconstruction algorithm using LS B-spline approximation. In addition, a polyphase structure is proposed to implement the algorithm. Compared with existing algorithms, the proposed algorithm achieves higher reconstruction precision when the known trajectory data include measurement errors; moreover, it preserves continuity. Numerical simulation results verified the validity and effectiveness of our proposed algorithm.

中文翻译：

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使用 LS B 样条近似的 TT&C 系统的高精度轨迹数据重建

用于跟踪、遥测和命令 (TT&C) 通道模拟器的现有轨迹数据重建算法无法同时实现连续性和降噪。通过将 B 样条插值算法与最小二乘 (LS) 逼近算法相结合，我们提出了一种使用 LS B 样条逼近的新型轨迹数据重建算法。此外，提出了一种多相结构来实现该算法。与现有算法相比，该算法在已知轨迹数据包含测量误差的情况下实现了更高的重建精度；此外，它保持了连续性。数值仿真结果验证了所提算法的有效性和有效性。