参数估计定理

空间信息论是关于雷达等目标参数估计系统信息获取一般规律的基本理论，这里的空间信息指被测目标相对于雷达的距离、方向和散射信息。参数估计定理是空间信息论的重要组成部分，本文提出参数估计定理的证明框架，该框架由3个原创性概念和1个定理构成，其中3个概念是空间信息、熵误差和抽样后验概率估计。参数估计定理证明，熵误差是可达的，反之，任何估计器的熵误差不低于熵误差。空间信息论的建立将对雷达探测的系统理论和方法产生巨大的推动作用。

Parameter Estimation Theorem

Spatial information theory is the fundamental theory of radar and other target detection systems. The spatial information is associated with the range, the direction and scattering signal of targets. Parameter estimation theorem is an important part of the spatial information theory. The proof framework of the parameter estimation theorem is proposed in this paper, which consists of three original concepts of spatial information, entropy error and sampling posterior probability estimation, and one theorem. The parameter estimation theorem shows that the entropy error is reachable, otherwise the empirical entropy error of any estimator is no less than the entropy error. The establishment of spatial information theory will play a significant role in promoting the development of systematic theories and methods of radar.