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In this paper, we investigate the network utility maximization problem inFDMA systems. We summarize with a suite of criteria on designing utilityfunctions so as to achieve the global optimization convex. After proposing thegeneral form of the utility functions, we present examples of commonly usedutility function forms that are consistent with the criteria proposed in thispaper, which include the well-known proportional fairness function and thesigmoidal-like functions. In the second part of this paper, we use numericalresults to demonstrate a case study based on the criteria mentioned above,which deals with the subcarrier scheduling problem with dynamic rate allocationin FDMA system.

Criteria on Utility Designing of Convex Optimization in FDMA Networks