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Performance and interference control in wireless Ad hoc and mesh networks - a generalized Lagrangian approach

: Wiczanowski, M.; Stanczak, S.; Boche, H.


IEEE transactions on signal processing 56 (2008), No.8, Part 2, pp.4039-4052
ISSN: 0096-3518
ISSN: 0018-9278
ISSN: 0096-1620
ISSN: 1053-587X
Journal Article
Fraunhofer HHI ()

This 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.