Water-Filling: A Geometric Approach and Its Application to Solve Generalized Radio Resource Allocation Problems
In this paper, a simple and elegant Geometric WaterFilling (GWF) approach is proposed to solve the unweighted and weighted radio resource allocation problems. Unlike the Conventional Water-Filling (CWF) algorithm, the authors eliminate the step to find the water level through solving a non-linear system from the Karush-Kuhn-Tucker conditions of the target problem. The proposed GWF requires less computation than the CWF algorithm, under the same memory requirement and sorted parameters. Furthermore, the proposed GWF avoids complicated derivation, such as derivative or gradient operations in conventional optimization methods, while provides insights to the problems and the exact solutions to the target problems.