Abstract
Power allocation in small cell networks has mostly been investigated using ideal communication links, where it is generally assumed that information can be relayed perfectly between base stations. In this paper, we propose a model with non-ideal links and a power adjustment algorithm for heterogeneous networks. Contrary to the power allocation approaches in the literature, channel state information is not required for power adjustment. The convergence properties of the proposed algorithm are investigated using tools from switched system theory and it is shown to converge to the max-min solution even with non-ideal communication links. The theoretical analysis is in agreement with the simulation results.
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