连续波雷达目标回波信号参数估计的克拉美-罗界

Cramer-Rao Bound of Parameter Estimation of Target Echo Signal of CW Radar

现代雷达、导航和通信系统几乎无一例外地采用了先进的信号处理技术 [1～ 3 ] 。目前 ,最大似然估计 (ML E)方法是获得雷达目标回波信号参数估计的常用方法。它给出信号参数的无偏渐近有效估计。克拉美 -罗 (CR)界是由样本数据的联合概率密度函数导出的无偏估计量的性能界 ,它可以作为所有参数估计方法的比较标准。任何雷达关于信号参数的测量精度都不可能优于 CR界。文中给出了雷达目标回波信号参数的 CR界的详细而严格的推导过程 ,得出的 CR界公式非常简洁 ,易于计算。

A MLE method is a possible one to obtain paramter estimations of target echo signal of CW radar exploying mordern signal processing.The unbiased and asymptotic effective estimations of the signal parameters are gotten by this method. The estimation precision of any target echo signal parameter is always worse them its Cramer-Rao (CR) bound which is derived from the joint probability density founction of sample set and can be as a comparative standard for all methods of parameter estimation. In this paper the strict expressions of the CR bound of parameter estimation are derived in detial.These expressions are very sample and easy for computation.It is shown that the results of theoretical calculation are in excellent agreement with those obtained from our experiment.