By utilizing the time difference of arrival (TDOA), the frequency difference of arrival (FDOA), and the differential Doppler rate (DDR) measurements from sensors, this paper proposes an effective moving source localization algorithm with closed solutions. Instead of employing the traditional two-step weighted least squares (WLS) process, the Lagrange multiplier technique is employed in the first step to obtain the initial solution. This initial solution yields a better solution than the existing solution because the dependence among the variables are taken into account. The initial solution is further refined in the second step. The simulation results verify the effectiveness of the proposed algorithm when compared with the relevant existing algorithms.

通过利用传感器的到达时间差 (TDOA)、到达频率差 (FDOA) 和差分多普勒率 (DDR) 测量，本文提出了一种具有封闭解的有效动源定位算法。不是采用传统的两步加权最小二乘 (WLS) 过程，而是在第一步中采用拉格朗日乘法器技术来获得初始解。由于考虑了变量之间的相关性，因此该初始解决方案产生了比现有解决方案更好的解决方案。初始解在第二步中进一步细化。仿真结果验证了所提算法与现有相关算法的有效性。