方位估计的克拉美-罗界改进算法研究

Petre Stoica和Arye Nethorai证明了在一定条件下的方位估计的克拉美-罗界（Cranmer—RaoBound）协方差矩阵公式。该算法在参数设置上还不够明确。针对这一问题对该算法进行了进一步深入的改进，简化了参数设置，有效解决了传统CRB算法的参量选取问题，便于对实验结果进行性能分析，因而更接近工程应用。计算机仿真表明，改进的CRB算法取得了和传统CRB一致的效果，能够确定一个无偏估计器所能达到的均方根误差的下界。

A Modified Cramer-Rao Bound Algorithm Based on DOA Estimation

On the basis of the Cramer-rao bound(CRB) covariance matrix formula of direction-of-arrival(DOA) estimation under the given condition derived by Stoica P and Nethorai Arye.There exists some problems on the parameter setting for this CRB algorithm.Aim at the problem,this paper made a further modification on the algorithm and simplified the preferences which effectively solved the problem of traditional CRB parameter selection and were convenient for performance analysis of experimental results,which were more close to engineering application.The results of computer simulation have shows that the modified CRB agrees well with the theoretical results.Consequently it will have a better applying foreground.