Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays - part II: Partially augmentable arrays
Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays - part II: Partially augmentable arrays
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DOI：
10.1109/78.765119
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发表时间：
1999-06-01
影响因子：
5.4
通讯作者：
Gorokhov, AY
中科院分区：
文献类型：
--
作者：
Abramovich, YI;Spencer, NK;Gorokhov, AY
本文考虑了入射在“部分可扩展”天线阵列上的多个不相关平面波的波达方向（DOA）估计问题，该天线阵的阵元间距差集不完整。当源的数量超过连续协方差滞后的数量时，DOA 估计问题会引起协方差矩阵完成问题。部分指定的 Toeplitz 协方差矩阵的最大熵 (ME) 正定 (p.d.) 补全是使用凸规划技术开发的。通过这种方法，给定协方差滞后集的经典 Burg ME 扩展问题被推广到缺少某些滞后的情况。出于 DOA 估计目的，我们找到 p.d。具有固定特征子空间维数的托普利茨矩阵，是 ME 完成矩阵的最接近的近似值。计算机仿真结果表明，与相应的 Cramer-Rao 界限相比，该技术具有较高的 DOA 估计精度。
This paper considers the problem of direction-of-arrival (DOA) estimation for multiple uncorrelated plane waves incident on "partially augmentable" antenna arrays, whose difference set of interelement spacings is not complete. The DOA estimation problem for the case when the number of sources exceeds the number of contiguous covariance lags gives rise to the covariance matrix completion problem. Maximum-entropy (ME) positive-definite (p.d.) completion for partially specified Toeplitz covariance matrices is developed using convex programming techniques. By this approach, the classical Burg ME extension problem for the given set of covariance lags is generalized for the situation a hen some lags are missing. For DOA estimation purposes, we find the p.d. Toeplitz matrix with fixed eigensubspace dimension that is the closest approximation of the ME-completed matrix. Computer simulation results are presented to demonstrate the high DOA estimation accuracy of the proposed technique compared with the corresponding Cramer-Rao bound.