In this letter, we study the channel estimation for wireless communications with movable antenna (MA), which requires to reconstruct the channel response at any location in a given region where the transmitter/receiver is located based on the channel measurements taken at finite locations therein, so as to find the MA's location for optimizing the communication performance. To reduce the pilot overhead and computational complexity for channel estimation, we propose a new successive transmitter-receiver compressed sensing (STRCS) method by exploiting the efficient representation of the channel responses in the given transmitter/receiver region (field) in terms of multi-path components. Specifically, the field-response information (FRI) in the angular domain, including the angles of departure (AoDs)/angles of arrival (AoAs) and complex coefficients of all significant multi-path components are sequentially estimated based on a finite number of channel measurements taken at random/selected locations by the MA at the transmitter and/or receiver. Simulation results demonstrate that the proposed channel reconstruction method outperforms the benchmark schemes in terms of both pilot overhead and channel reconstruction accuracy.

翻译：本文研究了可移动天线（MA）无线通信中的信道估计问题，其需要根据在给定区域内有限位置处的信道测量结果，重构发射机/接收机所在区域内任意位置的信道响应，从而确定可移动天线的位置以优化通信性能。为降低信道估计的导频开销和计算复杂度，本文利用多径分量对给定发射/接收区域（场域）内信道响应的有效表征，提出了一种新型的逐次收发联合压缩感知（STRCS）方法。具体而言，通过发射机和/或接收机处可移动天线在随机/选定位置进行的有限次信道测量，依次估计角度域中的场域响应信息（FRI），包括所有显著多径分量的离开角（AoDs）/到达角（AoAs）及其复系数。仿真结果表明，所提出的信道重构方法在导频开销和信道重构精度方面均优于基准方案。