Abstract
The reconfigurable intelligent surface (RIS) is recognized as a critical enabler for the next generation wireless networks with the capacity to configure the wireless propagation environment dynamically. In this paper, a practical phase response model is proposed to give a more accurate description of the response on RIS elements induced by incident waves and external signals. This model is employed in the optimization problem to analyze the practical system performance. RISs are able to establish artificial and enhanced radio links among network nodes, while the low-rank property of the base station (BS)-RIS channel restricts the spatial multiplexing gain. By balancing among the data streams in terms of reducing the condition number of the multiple input multiple output (MIMO) channel matrix, the multiplexing gain can also be improved. Different criteria, including the condition number, the minimum singular value, the effective rank and capacity, are exploited to identify an optimized RIS reflection coefficient matrix to obtain higher spatial multiplexing gain. Simulation results are provided to compare singular values of composite channels and the achievable rate under different objective functions. The suitable scenarios for different objective functions are discussed as a conclusion.
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