Open Access

A General Theory for SIR Balancing

EURASIP Journal on Wireless Communications and Networking20062006:060681

DOI: 10.1155/WCN/2006/60681

Received: 12 May 2005

Accepted: 19 January 2006

Published: 7 May 2006


We study the problem of maximizing the minimum signal-to-interference ratio (SIR) in a multiuser system with an adaptive receive strategy. The interference of each user is modelled by an axiomatic framework, which reflects the interaction between the propagation channel, the power allocation, and the receive strategy used for interference mitigation. Assuming that there is a one-to-one mapping between the QoS and the signal-to-interference ratio (SIR), the feasible QoS region is completely characterized by the max-min SIR balancing problem. In the first part of the paper, we derive fundamental properties of this problem for the most general case, when interference is modelled with an axiomatic framework. In the second part, we show more specific properties for interference functions based on a nonnegative coupling matrix. The principal aim of this paper is to provide a deeper understanding of the interaction between power allocation and interference mitigation strategies. We show how the proposed axiomatic approach is related to the matrix-based theory.


Authors’ Affiliations

Heinrich Hertz Chair for Mobile Communications, Faculty of Electrical Engineering and Computer Science, Technical University of Berlin
Fraunhofer German-Sino Lab for Mobile Communications (MCI)
Fraunhofer Institute for Telecommunications, Heinrich-Hertz-Institut (HHI)


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© H. Boche and M. Schubert 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.