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arXiv 1903.00403eess.SP
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椭圆数据模型下半参数随机CRB估计的DOA

Semiparametric Stochastic CRB for DOA Estimation in Elliptical Data Model

Stefano Fortunati, Fulvio Gini, Maria S. Greco

摘要:

本文的目的是提出一个数值研究的统计效率的MUSIC(与不同的协方差矩阵估计)和IAA-APES波达方向(DOA)估计算法在一般的复椭圆对称(CES)分布式测量模型。具体地,CES分布的数据快照的密度生成器被认为是附加的、无限维的滋扰参数。为了评估所考虑的半参数设置中的效率,半参数随机克拉美-罗界(SSCRB)被采用作为DOA估计的均方误差(MSE)的下界。

英文摘要:

This paper aims at presenting a numerical investigation of the statistical efficiency of the MUSIC (with different covariance matrix estimates) and the IAA-APES Direction of Arrivals (DOAs) estimation algorithms under a general Complex Elliptically Symmetric (CES) distributed measurement model. Specifically, the density generator of the CES-distributed data snapshots is considered as an additional, infinite-dimensional, nuisance parameter. To assess the efficiency in the considered semiparametric setting, the Semiparametric Stochastic Cramér-Rao Bound (SSCRB) is adopted as lower bound for the Mean Square Error (MSE) of the DOA estimators.

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