论文标题
任意3D天线阵列的无网状多维到达估计
Gridless Multidimensional Angle of Arrival Estimation for Arbitrary 3D Antenna Arrays
论文作者
论文摘要
到达角度（AOA）的完整多维表征（AOA）立即应用于现代无线通信系统的有效操作。在这项工作中，我们开发了一种基于压缩感应的方法来提取多维AOA信息，以利用传感器阵列接收到的信号的稀疏性质。提出的解决方案基于原子$ \ ell_0 $ norm，可以在具有任意3D天线阵列的系统中准确地对AOA进行准确的无网状分辨率。我们的方法允许表征可以识别给给定数量的天线和阵列几何形状的最大数量的不同来源（或散布）。解决了无嘈杂和嘈杂的测量场景，通过多级toeplitz矩阵秩 - 最小化问题来得出和评估AOA传播参数的可分离性。为了促进所提出的解决方案的实施，我们还提出了一种至少正方形的方法，该方法是通过凸高最小化问题的凸出并表征其可分辨性的条件来正规化的。
A full multi--dimensional characterization of the angle of arrival (AoA) has immediate applications to the efficient operation of modern wireless communication systems. In this work, we develop a compressed sensing based method to extract multi-dimensional AoA information exploiting the sparse nature of the signal received by a sensor array. The proposed solution, based on the atomic $\ell_0$ norm, enables accurate gridless resolution of the AoA in systems with arbitrary 3D antenna arrays. Our approach allows characterizing the maximum number of distinct sources (or scatters) that can be identified for a given number of antennas and array geometry. Both noiseless and noisy measurement scenarios are addressed, deriving and evaluating the resolvability of the AoA propagation parameters through a multi--level Toeplitz matrix rank--minimization problem. To facilitate the implementation of the proposed solution, we also present a least squares approach regularized by a convex relaxation of the rank-minimization problem and characterize its conditions for resolvability.
