PROPORTIONALLY FAIR RESOURCE ALLOCATION FOR WIRELESS NETWORKS

Wireless communication links are often coupled by interference (e.g. smart antenna beamforming system with overlapping beams or non-orthogonal CDMA). It is thus desirable to include physical layer aspects and power control in the quality-of-service model. But this complicates the task of resource allocation. In this paper, we investigate the problem of weighted proportional fairness for log-convex interference functions. By introducing the concept of a dependency matrix, we characterize the coupling between interference functions. This facilitates conditions for the existence of a proportionally fair operating point. We also show under which condition an optimizer exists and we provide a sufficient condition for uniqueness of this optimizer.

[1]  Chi Wan Sung.  Log-convexity property of the feasible SIR region in power-controlled cellular systems , 2002, IEEE Communications Letters.

[2]  Frank Kelly,et al.  Rate control for communication networks: shadow prices, proportional fairness and stability , 1998, J. Oper. Res. Soc..

[3]  Frank Kelly,et al.  Charging and rate control for elastic traffic , 1997, Eur. Trans. Telecommun..

[4]  Slawomir Stanczak,et al.  Resource allocation in wireless networks , 2006 .

[5]  Shahram Shahbazpanahi,et al.  Robust Downlink Power Control in Wireless Cellular Systems , 2004, EURASIP J. Wirel. Commun. Netw..

[6]  Holger Boche,et al.  QoS-Based Resource Allocation and Transceiver Optimization , 2005, Found. Trends Commun. Inf. Theory.

[7]  Slawomir Stanczak,et al.  Convexity of some feasible QoS regions and asymptotic behavior of the minimum total power in CDMA systems , 2004, IEEE Transactions on Communications.

[8]  H. Boche,et al.  The Kullback–Leibler Divergence and Nonnegative Matrices , 2006, IEEE Transactions on Information Theory.

[9]  Holger Boche,et al.  Resource allocation in multiantenna systems-achieving max-min fairness by optimizing a sum of inverse SIR , 2006, IEEE Transactions on Signal Processing.

[10]  Slawomir Stanczak,et al.  An axiomatic approach to resource allocation and interference balancing , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[11]  Rudolf Mathar,et al.  Power control, capacity, and duality of uplink and downlink in cellular CDMA systems , 2004, IEEE Transactions on Communications.

[12]  Slawomir Stanczak,et al.  Log-convexity of the minimum total power in CDMA systems with certain quality-of-service guaranteed , 2005, IEEE Transactions on Information Theory.