The relaxed power control algorithm

With the progress of wireless communication technology, networks become more and more interference limited. One core aspect for guaranteeing required signal qualities in interference limited networks is power control. A simple, yet powerful power control algorithm (PCA) is Yates' iterative standard PCA, which is well known and can be applied to various physical layer technologies. However, for some technologies, e.g., multi-antenna (MIMO) communication systems, its update rules cannot be explicitly calculated, thus rendering the power control problem complicated. For these cases we introduce relaxed PCAs, whose update steps are within certain bounds around that of the standard PCA. We prove that relaxed PCAs and standard PCAs converge to the same fixed points. We apply the introduced algorithm to MIMO wireless networks and develop two manageable power control update rules. We verify their convergence behavior with simulations.