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Reconfigurable intelligent surfaces (RISs) have recently gained significantinterest as an emerging technology for future wireless networks. This paperstudies an RIS-assisted propagation environment, where a single-antenna sourcetransmits data to a single-antenna destination in the presence of a weak directlink. We analyze and compare RIS designs based on long-term and short-termchannel statistics in terms of coverage probability and ergodic rate. For theconsidered optimization designs, closed-form expressions for the coverageprobability and ergodic rate are derived. We use numerical simulations toanalyze and compare against analytic results in finite samples. Also, we showthat the considered optimal phase shift designs outperform several heuristicbenchmarks.

Controlling Smart Propagation Environments: Long-Term versus Short-Term Phase Shift Optimization