There is often no cellular connection in the basement level of large buildings and in remote unpopulated areas. In this paper, a relay is deployed to extend the wireless coverage of a base station to a target area. Models, analytical results, and algorithms are proposed to study the optimal relay position and power allocation for minimizing the maximum outage probability over the entire area. Based on the analysis, as the total transmit power of the base station and relay increases, the optimal relay position and the transmit power ratio of the base station and relay remain the same. The complexity of the proposed algorithm is much lower than, but it achieves almost the same performance as that of the exhaustive searching method based on numerical simulations, which is more suitable for the practical system.
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