This paper investigates the multistatic localization of a moving object in position and velocity using an uncoordinated moving transmitter of unknown position and velocity. The measurements are time delays and frequencies and each kind is subject to an unknown amount of offset. We have shown that incorporating the direct-path measurements between the transmitter and receivers to the indirect-path measurements from the transmitter through the object to the receivers improves the localization performance, although nuisance parameters including the transmitter position, velocity and offsets are required for estimation. The condition about the localization geometry that can eliminate the degradation due to the offsets is derived for IID Gaussian noise. Algebraic solution to localize the moving object is developed together with the performance analysis in reaching the Cramer-Rao Lower Bound accuracy under Gaussian noise over the small error region. The particular case of having time delay measurements only is examined and the optimal geometry for handling unknown transmitter position and time offset is devised. Simulations validate the theoretical developments.

中文翻译：

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未知位置和偏移量的移动发射器的多基地移动目标定位

本文研究了使用未知位置和速度的非协调移动发射机在位置和速度方面对移动物体的多基地定位。测量是时间延迟和频率，每种都受到未知量的偏移量的影响。我们已经表明，将发射器和接收器之间的直接路径测量与从发射器通过物体到接收器的间接路径测量相结合可以提高定位性能，尽管估计需要包括发射器位置、速度和偏移在内的有害参数. 可以针对 IID 高斯噪声推导出可以消除由于偏移引起的退化的定位几何条件。定位移动对象的代数解决方案与在小误差区域上的高斯噪声下达到 Cramer-Rao 下界精度的性能分析一起开发。检查了仅进行时间延迟测量的特殊情况，并设计了用于处理未知发射机位置和时间偏移的最佳几何结构。模拟验证了理论发展。