Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Concave resource allocation problems for interference coupled wireless systems
 Douglas, S.C. ; IEEE Signal Processing Society: IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2010. Proceedings. Vol.1 : 1419 March 2010, Dallas, Texas, USA Piscataway/NJ: IEEE, 2010 ISBN: 9781424442966 ISBN: 9781424442959 pp.30023005 
 International Conference on Acoustics, Speech and Signal Processing (ICASSP) <35, 2010, Dallas/Tex.> 

 English 
 Conference Paper 
 Fraunhofer HHI () 
Abstract
The paper characterizes the class of all concave resource allocation problems in interference coupled wireless systems. An axiomatic framework for interference functions proposed by Yates in 1995 is used to model interference coupling in our paper. The paper shows that there exists no transformation, which ensures concavity for all linear interference functions for all functions of SINR. The paper then characterizes the largest class of utility functions under a certain requirement, such that the corresponding class of utility functions functions, which are a function of SINR in the sdomain are concave. The paper shows that such a class of utility functions is a restricted class due to a requirement, which ensures concavity. Furthermore, the paper shows that the largest class of interference functions, which ensures concavity for resource allocation problems are the logconvex interference functions. These results differ from the convex case, where we are interested in minimizing utility functions of inverse SINR.