This letter focuses on the passive localization of a moving source in the presence of random sensor location errors. We propose a modified two-stage closed-form method that takes the sensor location errors into account, utilizing time difference of arrival and frequency difference of arrival measurements. This method utilizes the weighted spherical interpolation approach to obtain an initial estimation in the first stage. The initial estimation is substituted into the original criterion to get a final estimation in the second stage. Theoretical analysis shows the proposed method can reach the Cramer-Rao lower bound under the small Gaussian noise assumption. Numerical simulation results show high noise tolerances of the method.

中文翻译：

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具有位置不确定性的无源传感器网络中的移动源定位


这封信的重点是在存在随机传感器位置误差的情况下对移动源进行被动定位。我们提出了一种改进的两阶段封闭式方法，该方法考虑了传感器位置误差，利用到达时间差和到达测量频率差。该方法利用加权球面插值方法在第一阶段获得初始估计。在第二阶段将初始估计代入原始准则以获得最终估计。理论分析表明，在小高斯噪声假设下，该方法可以达到Cramer-Rao下界。数值模拟结果表明该方法具有较高的噪声容限。