Stability Analysis of Unfolded WMMSE for Power Allocation
This addresses the need for robust power allocation algorithms in wireless networks, which is incremental as it focuses on stability analysis of an existing method.
The paper analyzes the stability of the UWMMSE algorithm for power allocation in wireless networks, showing that its output variations remain bounded for bounded input perturbations through both theoretical and empirical validation.
Power allocation is one of the fundamental problems in wireless networks and a wide variety of algorithms address this problem from different perspectives. A common element among these algorithms is that they rely on an estimation of the channel state, which may be inaccurate on account of hardware defects, noisy feedback systems, and environmental and adversarial disturbances. Therefore, it is essential that the output power allocation of these algorithms is stable with respect to input perturbations, to the extent that the variations in the output are bounded for bounded variations in the input. In this paper, we focus on UWMMSE -- a modern algorithm leveraging graph neural networks --, and illustrate its stability to additive input perturbations of bounded energy through both theoretical analysis and empirical validation.