Direction of arrival (DOA) estimation has paramount importance in array signal processing tasks. A practical issue regarding DOA estimation is the uncertainty in gain/phase of some of the sensor elements. In this paper, we focus on the 2-dimensional DOA (2D-DOA) estimation in the presence of gain/phase uncertainty. We propose a grid-based modeling for the 2D-DOA estimation of the uniform rectangular array considering the array gain/phase uncertainty. In order to solve the modeled problem, we suggest an algorithm to exploit the joint sparse properties of the problem. Furthermore, we have used a zooming-based technique to estimate the 2D-DOAs with much lower computational complexity. The efficiency of the proposed method has been validated through various simulation scenarios which confirm the superiority of the suggested algorithm over its counterparts.

到达方向 (DOA) 估计在阵列信号处理任务中至关重要。关于 DOA 估计的一个实际问题是一些传感器元件的增益/相位的不确定性。在本文中，我们专注于存在增益/相位不确定性的二维 DOA (2D-DOA) 估计。考虑到阵列增益/相位不确定性，我们提出了一种基于网格的建模，用于均匀矩形阵列的 2D-DOA 估计。为了解决建模问题，我们提出了一种算法来利用问题的联合稀疏特性。此外，我们使用基于缩放的技术来估计具有低得多的计算复杂度的 2D-DOA。