Capacity Maximization Pattern Design for Reconfigurable MIMO Antenna Array

Multi-functional and reconfigurable multiple-input multiple-output (MR-MIMO) can provide performance gains over traditional MIMO by introducing additional degrees of freedom. In this paper, we focus on the capacity maximization pattern design for MR-MIMO systems. Firstly, we introduce the matrix representation of MR-MIMO, based on which a pattern design problem is formulated. To further reveal the effect of the radiation pattern on the wireless channel, we consider pattern design for both the single-pattern case where the optimized radiation pattern is the same for all the antenna elements, and the multi-pattern case where different antenna elements can adopt different radiation patterns. For the single-pattern case, we show that the pattern design is equivalent to a redistribution of power among all scattering paths, and an eigenvalue optimization based solution is obtained. For the multi-pattern case, we propose a sequential optimization framework with manifold optimization and eigenvalue decomposition to obtain near-optimal solutions. Numerical results validate the superiority of MR-MIMO systems over traditional MIMO in terms of capacity, and also show the effectiveness of the proposed solutions.