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DETERMINISTIC CRAMER-RAO BOUNDS FOR STRICT SENSE NON-CIRCULAR SOURCES

机译:定制克拉姆 - Rao严格意义非圆形来源的界限

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摘要

In this contribution, the Cramer-Rao Bound (CRB) for direction of arrival (DOA) estimation in presence of strict sense non-circular sources is given. These types of sources are used in numerous practical systems and enhancements to parameter estimation methods exploiting non-circularity have received considerable attention recently. While closed-form expressions for the CRB for other types of non-circularity are known, the closed-form expression for the CRB for this data model is not available in the literature to date. After providing the closed-form expression, some interesting special cases are discussed. The cases where strict sense non-circularity does not provide any gain over generic source constellations are stated. Moreover, it is demonstrated that under certain conditions the joint CRB may decouple into independent groups. It is also shown that the number of sources which can be estimated jointly is increased. The analytical results are supported by computer simulations which show the Cramer-Rao Bounds along with the corresponding versions of the Unitary ESPRIT algorithm.
机译:在这一贡献中,给出了在存在严格意义的非圆形来源存在的到达方向(DOA)估计的Cramer-Rao绑定(CRB)。这些类型的来源用于许多实际系统和增强功能,参数估计方法利用非圆形度最近得到了相当大的关注。虽然已知用于其他类型的非圆形度的CRB的闭合表达,但是对于该数据模型的CRB的闭合形式表达在文献中不可用。在提供闭合形式表达后,讨论了一些有趣的特殊情况。严格意义非圆形不提供通用源星座的任何增益的情况。此外,证明,在某些条件下,关节CRB可能与独立组分离。还示出了可以共同估计的来源的数量。分析结果由计算机模拟支持,该计算机仿真显示了克拉姆-RAO的界限以及单一ESPRIT算法的相应版本。

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