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首先,提出了一种矩阵伪逆求闭式解的算法,得到一个目标位置的粗略估计;然后,结合TDOA的多点定位问题,介绍了泰勒展开的实现步骤;最后,结合两种算法,将矩阵伪逆求解法得到的粗解作为泰勒级数展开的初始值,再进行迭代收敛计算,得到定位结果。通过仿真,验证了改进后的算法在增加定位精度和减少计算量上取得了性能提高。
Firstly, a matrix pseudo-inverse solver closed-form algorithm is proposed to get a rough estimate of the target position. Then, combining with TDOA multi-point localization, the implementation steps of Taylor expansion are introduced. Finally, combining the two algorithms, The rough solution obtained by the matrix pseudo-inverse method is used as the initial value of the Taylor series expansion, and then iteratively converged to obtain the positioning result. The simulation results show that the improved algorithm has achieved the performance improvement in increasing the positioning accuracy and reducing the computational cost.