Abstract

In this paper, we study the problem of closed-loop power allocation in wireless networks subject to multiplicative interference and noise uncertainty. By using the mean-square small-gain theorem, stability bounds can be reached as a function of the size of the multiplicative uncertain terms: interference and noise. By establishing a numerical relation between the size of the interference and the multiplicative noise, a unique stability bound for power allocation is derived for a closed-loop structure. A numerical evaluation was carried out in a wireless network with multiple base stations and under different quality of service (QoS) requirements. Slow and fast-scale variations are considered in the channel model, as well as random displacement of the mobile units. In the evaluation, the power allocation scheme was able to achieve the desired QoS despite the multiple-access interference and multiplicative noise components.