标题： 基于矩阵束的混合接收机在快照有限场景中的到达方向估计 显示英文标题

标题： Matrix Pencil-Based DoA Estimation for Hybrid Receivers in Snapshot-Limited Scenarios

摘要： 本文的目标是在快拍数太少以至于统计平均不可靠的情况下，估计混合模拟/数字（HAD）接收器的到达方向（DoAs）。 在全数字接收器中，这一目标是通过采用矩阵铅笔方法（MPM）来实现的。 不幸的是，由于底层模拟组合器对输出信号的纠缠，MPM无法直接应用于HAD接收器。 此外，这些模拟组合器将接收到的信号投影到一个低维空间，危及来自特定DoA范围的信号的接收。 为克服这些困难，我们提出了两种方法，使MPM能够在HAD接收器中提取DoAs。 这两种方法通过循环遍历一个全面的模拟组合器集，共同覆盖整个空间，避免了由低维投影引起的严重衰减。 第一种方法可以应用于全连接（FC）和部分连接（PC）HAD，并依赖于周期性、可能未知的信号的可用性，以解耦HAD接收器的输出。 第二种方法仅适用于PC-HAD，通过利用底层的块对角结构，消除了对周期性信号的依赖。 所提出方法的优越性通过数值仿真和与Cramér-Rao下限的比较得到验证。 显示英文摘要

摘要： The goal of this paper is to estimate the directions of arrival (DoAs) for hybrid analog/digital (HAD) receivers when the number of snapshots is too small for statistical averaging to be reliable. This goal is achieved in fully-digital receivers by employing the matrix pencil method (MPM). Unfortunately, the MPM cannot be directly applied in HAD receivers because of the entanglement induced by the underlying analog combiners on the output signals. Furthermore, these analog combiners project the received signal onto a low-dimensional space, jeopardizing the reception of signals arriving from particular DoA ranges. To circumvent these difficulties, we propose two approaches to enable the MPM to extract the DoAs in HAD receivers. The two approaches avoid severe attenuation induced by low-dimensional projection by cycling over an exhaustive set of analog combiners, collectively spanning the entire space. The first approach can be applied to both fully-connected (FC) and partially-connected (PC) HADs and relies on the availability of periodic, potentially unknown, signals to disentangle the output of the HAD receiver. The second approach applies to PC-HADs only, and eliminates contingency on periodic signals by exploiting the underlying block diagonal structure. The superiority of the proposed approaches is demonstrated via numerical simulations and comparisons with the Cram\'er-Rao lower bound.