DocumentCode
1800535
Title
On the Existence and Uniqueness of Proportionally Fair Power Allocation
Author
Stanczak, Slawomir ; Boche, Holger
Author_Institution
Fraunhofer German-Sino Lab, for Mobile Communications, Einsteinufer 37, D-10587 Berlin, Germany. stanczak@hhi.fhg.de
fYear
2006
fDate
Oct. 2006
Firstpage
561
Lastpage
565
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
Aggregates; Decoding; Geometry; Media Access Protocol; Mobile communication; Power control; Power system modeling; Quality of service; Sufficient conditions; Wireless networks;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Workshop, 2006. ITW '06 Punta del Este. IEEE
Conference_Location
Punta del Este, Uruguay
Print_ISBN
1-4244-0035-X
Electronic_ISBN
1-4244-0036-8
Type
conf
DOI
10.1109/ITW.2006.322881
Filename
4117536
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