A characterization of max-min SIR-balanced power allocation with applications

Authors:
Sławomir Stanczak;Michał Kaliszan;Nicholas Bambos;Marcin Wiczanowski
Affiliations:
Fraunhofer German-Sino Lab for Mobile Communications, Berlin, Germany;Fraunhofer German-Sino Lab for Mobile Communications, Berlin, Germany;Department of Electrical Engineering, Stanford University, Stanford, CA;Fraunhofer German-Sino Lab for Mobile Communications, Berlin, Germany
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Year:
2009

Citing 8
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Abstract

We consider a power-controlled wireless network with an established network topology in which the communication links (transmitter-receiver pairs) are subject to some constraints on transmit powers and corrupted by the co-channel interference and background noise. The interference is completely determined by a so-called gain matrix. Assuming irreducibility of the gain matrix, we provide an elegant characterization of the max-min SIR-balanced power allocation under general power constraints. This characterization gives rise to two types of algorithms for computing the max-min SIR-balanced power allocation. It also allows for an interesting saddle point characterization of the Perron root of extended gain matrices.