Optimal Resource Allocation for Parallel Gaussian Broadcast Channels: Minimum Rate Constraints and Sum Power Minimization

Authors:
G. Wunder;T. Michel
Affiliations:
German-Sino Mobile Commun. Lab., Fraunhofer Inst. for Telecommun., Berlin;-
Venue:
IEEE Transactions on Information Theory
Year:
2007

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Abstract

A system consisting of K parallel Gaussian broadcast channels over which a transmitter communicates with M receivers is considered. Assuming perfect channel state information, we study the problem of maximizing a weighted sum of rates under a sum power constraint with additional receiver-specific rate constraints. This problem formulation occurs frequently, e.g., in the context of scheduling for cellular downlink systems. Two algorithms are proposed which of one is based on a modified water-filling procedure. This algorithm is also suited to solve the minimum sum power problem.