互质整数
托普利兹矩阵
到达方向
算法
协方差矩阵
平滑的
秩(图论)
旋转不变性
循环缓冲器
多信号分类
矩阵铅笔
数学
传感器阵列
计算机科学
测向
信号(编程语言)
方位角
波束赋形
信号子空间
基质(化学分析)
子空间拓扑
协方差
估计理论
组合数学
统计
天线(收音机)
复合材料
电信
材料科学
纯数学
作者
Zhen Meng,Weidong Zhou
出处
期刊:Sensors
[MDPI AG]
日期:2019-02-09
卷期号:19 (3): 707-707
被引量:14
摘要
Coprime arrays have shown potential advantages for direction-of-arrival (DOA) estimation by increasing the number of degrees-of-freedom in the difference coarray domain with fewer physical sensors. In this paper, a new DOA estimation algorithm for coprime array based on the estimation of signal parameter via rotational invariance techniques (ESPRIT) is proposed. We firstly derive the observation vector of the virtual uniform linear array but the covariance matrix of this observation vector is rank-deficient. Different from the traditional Toeplitz matrix reconstruction method using the observation vector, we propose a modified Toeplitz matrix reconstruction method using any non-zero row of the covariance matrix in the virtual uniform linear array. It can be proved in theory that the reconstructed Toeplitz covariance matrix has full rank. Therefore, the improved ESPRIT method can be used for DOA estimation without peak searching. Finally, the closed-form solution for DOA estimation in coprime array is obtained. Compared to the traditional coprime multiple signal classification (MUSIC) methods, the proposed method circumvents the use of spatial smoothing technique, which usually results in performance degradation and heavy computational burden. The effectiveness of the proposed method is demonstrated by numerical examples.
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