This article addresses the multistatic localization of an object by exploiting the direct-blast and object-reflected signals, where the transmitter location is not known and only the sensor positions are available. We study the cases that either the object or the transmitter is moving, in a noncooperative environment at which unknown offsets are present in the time delay and Doppler shift measurements. We analyze thoroughly by the Cramer–Rao lower bound (CRLB) if the direct-blast signals are useful in increasing the object localization performance, albeit doing so introduces extra parameters of the transmitter for estimation. Performance comparison with the fully dynamic moving object and moving transmitter modeling is established. Algebraic solutions are derived for the localization problem and analysis is made to validate that the proposed estimators are able to reach the CRLB performance under Gaussian noise over the small error region.

中文翻译：

---

仅传感器位置可用的部分动态场景中的多基地定位


本文通过利用直接爆炸和物体反射信号来解决物体的多基地定位问题，其中发射器位置未知，只有传感器位置可用。我们研究物体或发射机在非合作环境中移动的情况，在这种情况下，时间延迟和多普勒频移测量中存在未知的偏移。我们通过 Cramer-Rao 下界 (CRLB) 彻底分析直接爆炸信号是否有助于提高目标定位性能，尽管这样做会引入用于估计的发射机的额外参数。建立了与全动态移动物体和移动发射机模型的性能比较。推导了定位问题的代数解，并进行了分析以验证所提出的估计器能够在小误差区域上的高斯噪声下达到 CRLB 性能。