TY - GEN
T1 - Concave resource allocation problems for interference coupled wireless systems
AU - Boche, Holger
AU - Naik, Siddharth
AU - Alpcan, Tansu
PY - 2010
Y1 - 2010
N2 - 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 s-domain 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 log-convex interference functions. These results differ from the convex case, where we are interested in minimizing utility functions of inverse SINR.
AB - 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 s-domain 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 log-convex interference functions. These results differ from the convex case, where we are interested in minimizing utility functions of inverse SINR.
KW - Interference coupled systems
KW - Resource allocation
KW - Utility maximization
UR - http://www.scopus.com/inward/record.url?scp=78049384578&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2010.5496129
DO - 10.1109/ICASSP.2010.5496129
M3 - Conference contribution
AN - SCOPUS:78049384578
SN - 9781424442966
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 3002
EP - 3005
BT - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
Y2 - 14 March 2010 through 19 March 2010
ER -