Joint queue-perturbed and weakly-coupled power control for wireless backbone networks

Abstract

Wireless Backbone Networks (WBNs) equipped with Multi-Radio Multi-Channel (MRMC) configurations do experience power control problems such as inter-channel and co-channel interference, high energy consumption at the multiple queues and unscalable network connectivity. Such network problems can conviniently be modelled using the theory of queue perturbation at the multiple queue systems and also as weak coupling at the multiple channel wireless network. Consequently, this paper proposes a queue perturbation and weakly-coupled based power control approach for the WBNs. The ultimate objectives are to increase energy-efficiency and the overal network capacity. In order to achieve these objectives, a Markov chain model is first presented to describe the behaviour of the steady state probability distribution of the queue energy and buffer states. The singular perturbation parameter is approximated from the coefficients of Taylor series expansion of the probability distribution. The impact of such queue perturbations on the transmission probability, given some transmission power values, is also analysed. Second, the inter-channel interference is modelled as a weakly-coupled wireless system. Third, Nash differential games are applied to derive optimal power control signals for each user subject to the power constraints at each node. Finally, analytical models and numerical examples show the efficacy of the proposed model in solving power control problems in WBNs.