Off-Grid Direction-of-Arrival Estimation Using Coprime Array Interpolation
Off-Grid Direction-of-Arrival Estimation Using Coprime Array Interpolation
复制标题
使用互质数组插值进行离网到达方向估计
DOI：
10.1109/lsp.2018.2872400
复制
发表时间：
2018-11-01
影响因子：
3.9
通讯作者：
Zhang, Yimin D.
中科院分区：
文献类型：
--
作者：
Zhou, Chengwei;Gu, Yujie;Zhang, Yimin D.
在这封信中，我们提出了一种互质阵列内插方法来提供离网波达方向(DOA)估计。通过阵列内插，由确定性的非均匀互质阵列生成具有相同孔径的均匀线阵。利用从互质阵列接收的信号计算的观测相关性，建立了一个无网格凸优化问题，以恢复与内插传感器相对应的未知相关矩阵条目的所有行和列。优化后的厄米特半正定Toeplitz矩阵作为内插ULA的协方差矩阵，使得离网源的求解成为可能。仿真结果表明，与现有的基于共阵列的DOA估计算法相比，基于阵列内插的DOA估计算法在可实现的自由度数和估计精度方面都有较大的提高。
In this letter, we propose a coprime array interpolation approach to provide an off-grid direction-of-arrival (DOA) estimation. Through array interpolation, a uniform linear array (ULA) with the same aperture is generated from the deterministic non-uniform coprime array. Taking the observed correlations calculated from the signals received at the coprime array, a gridless convex optimization problem is formulated to recover all the rows and columns of the unknown correlation matrix entries corresponding to the interpolated sensors. The optimized Hermitian positive semidefinite Toeplitz matrix functions as the covariance matrix of the interpolated ULA, which enables to resolve off-grid sources. Simulation results demonstrate that the proposed array interpolation-based DOA estimation algorithm achieves improved performance as compared to existing coarray-based DOA estimation algorithms in terms of the number of achievable degrees-of-freedom and estimation accuracy.