An analysis of the parameter estimation uncertainty for the target location and velocity achievable using a single-transmitter-multiple-receiver multistatic radar system is presented. A framework for establishing measures of multistatic radar parameter uncertainties by expansion of the bistatic radar parameter uncertainty measures is presented for systems containing omnidirectionally radiating nodes. The methodology uses analytical methods based on the Cramér–Rao Lower Bounds applied to scenarios in a two-dimensional physical space with a single target exhibiting Doppler characteristics and a bistatic angle dependent radar cross-section. A set of geometric descriptors is proposed to characterise the system, and parameter uncertainty results are reported as a function of these descriptors. The results indicate that angular separation between the transmitter and the centre of the receiver distribution is of greater importance than the quantity of receivers within the system when low uncertainty estimation capabilities are desired, though a minimum of two receivers must be available. The proportion of receivers within the system which contributed information crucial to obtaining the minimum estimation uncertainty is reported for systems containing different quantities of receivers. It was observed that, as the total number of receivers available increased, the proportion of receivers required to achieve the minimal uncertainty level reduces significantly.

中文翻译：

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多基地雷达分布几何形状对参数估计精度的影响

分析了使用单发射机多接收机多基地雷达系统可实现的目标位置和速度的参数估计不确定性。针对包含全向辐射节点的系统，提出了通过扩展双基地雷达参数不确定性测量来建立多基地雷达参数不确定性测量的框架。该方法使用基于 Cramér–Rao 下界的分析方法，应用于二维物理空间中的场景，其中单个目标表现出多普勒特性和双基地角度相关的雷达横截面。提出了一组几何描述符来表征系统，并将参数不确定性结果报告为这些描述符的函数。结果表明，当需要低不确定性估计能力时，发射器和接收器分布中心之间的角距比系统内接收器的数量更重要，尽管必须至少有两个接收器可用。对于包含不同数量接收器的系统，报告了系统内提供对获得最小估计不确定性至关重要的信息的接收器的比例。据观察，随着可用接收器总数的增加，实现最小不确定性水平所需的接收器比例显着减少。