Title :
On the Existence and Uniqueness of Proportionally Fair Power Allocation
Author :
Slawomir Stanczak;Holger Boche
Author_Institution :
Fraunhofer German-Sino Lab, for Mobile Communications, Einsteinufer 37, D-10587 Berlin, Germany. stanczak@hhi.fhg.de
Abstract :
The geometry of the feasible log-SIR region has attracted a great deal of attention. In particular, it was shown that the feasible log-SIR region is a convex set, which is a key ingredient in the development of some power control strategies for wireless systems. In this paper, we strengthen this result by proving a necessary and sufficient condition for strict convexity of the feasible log-SIR region. The result sheds light on the existence and uniqueness of proportionally fair power vectors
Keywords :
"Power control","Sufficient conditions","Decoding","Mobile communication","Information theory","Conferences","Information geometry","Media Access Protocol","Wireless networks","Quality of service"
Conference_Titel :
Information Theory Workshop, 2006. ITW ´06 Chengdu. IEEE
Print_ISBN :
1-4244-0067-8
DOI :
10.1109/ITW2.2006.323696
