Wiczanowski, M.M.WiczanowskiStanczak, S.S.StanczakBoche, H.H.Boche2022-03-042022-03-042008https://publica.fraunhofer.de/handle/publica/21626410.1109/TSP.2008.925928This paper deals with the problem of power allocation in heterogeneous wireless networks such as wireless ad hoc and mesh networks. We propose a general approach to power control, with the goal of optimizing some network performance metric subject general constraints at selected links, such as constraints on Signal-to-Interference Ratio or restrictions on received power. Based on a novel construction of generalized Lagrangian function, we develop a primal-dual iteration that converges to a locally optimal power allocation vector. The iteration exhibits linear convergence and has certain advantages in applicability, efficiency and complexity when compared to classical primal-dual methods of similar convergence. Using the recently proposed concept of an adjoint network, we finally present a feedback scheme which allows for the highly desired decentralized realization of the proposed iteration.en621journal article