Optimal Beamforming for Two-Way Multi-Antenna Relay Channel with Analogue Network Coding
Optimal Beamforming for Two-Way Multi-Antenna Relay Channel with Analogue Network Coding
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DOI：
10.1109/jsac.2009.090611
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发表时间：
2009-06-01
影响因子：
16.4
通讯作者：
Cui, Shuguang
中科院分区：
文献类型：
--
作者：
Zhang, Rui;Liang, Ying-Chang;Cui, Shuguang
本文研究了无线双向中继信道（TWRC），其中两个源节点S1和S2通过一个辅助中继节点R进行信息交换。假设R在一个时隙中接收来自S1和S2的和信号，然后在下一个时隙中放大并将接收到的信号转发到S1和S2。通过应用模拟网络编码（ANC）的原理，S1和S2中的每一个消除来自R的接收信号中的所谓的“自干扰”，然后解码期望的消息。假设S1和S2都配备有单天线，R配备有多天线，本文分析了在R处具有线性处理（波束成形）的基于ANC的TWRC的容量区域。容量区域包含在S1、S2和R处的给定发射功率约束下S1和S2的所有可实现双向速率对。我们提出了最佳中继波束形成结构，以及一个有效的算法来计算基于凸优化技术的最佳波束形成矩阵。低复杂度的次优中继波束形成方案也提出了，和他们的可实现的速率与最佳方案的容量进行比较。
This paper studies the wireless two-way relay channel (TWRC), where two source nodes, S1 and S2, exchange information through an assisting relay node, R. It is assumed that R receives the sum signal from S1 and S2 in one time-slot, and then amplifies and forwards the received signal to both S1 and S2 in the next time-slot. By applying the principle of analogue network coding (ANC), each of S1 and S2 cancels the so-called "self-interference" in the received signal from R and then decodes the desired message. Assuming that SI and S2 are each equipped with a single antenna and R with multi-antennas, this paper analyzes the capacity region of the ANC-based TWRC with linear processing (beamforming) at R. The capacity region contains all the achievable bidirectional rate-pairs of S1 and S2 under the given transmit power constraints at SI, S2, and R. We present the optimal relay beamforming structure as well as an efficient algorithm to compute the optimal beamforming matrix based on convex optimization techniques. Low-complexity suboptimal relay beamforming schemes are also presented, and their achievable rates are compared against the capacity with the optimal scheme.