Interference Calculus and Resource Allocation
The optimal resource allocation in wireless networks depends on many parameters and is usually a very complex problem. The observed interference of a user in a network is modeled through the concept of interference functions. However, it is also necessary to develop a framework for the utility modeling. From the practical point of view, it is interesting to characterize all concave and convex resource allocation problems. Furthermore, it is important to characterize the supportable quality of the service region in a multi-user wireless system. The results form the basis for:
- Efficient resource allocation schemas, e. g. power control
- Convergence speed of algorthims
- Utility optimization
- H. Boche, S. Naik and M. Schubert "Pareto Boundary of Utility Sets for Mulituser Wireless Systems", IEEE/ACM Transactions on Networking, vol. 19, no. 2, 2011.
- H. Boche and M. Schubert, "Nash Bargaining and Proportinoal Fairness for Wireless Systems", IEEE Transactions on Networking, 2009.
- H. Boche, S. Naik and T. Alpcan, "Characterization of Convex and Concave Resource Allocation Problems in Interference Coupled Wireless Systems", IEEE Transactions on Signal Processing, vol. 59, no. 5, 2011.
- H. Boche and M. Schubert, "A Generalization of Nash Bargaining and Proportinal Fairness to Log-Convex Utility Sets With Power Constraints", IEEE Transactions on Information Theory, vol. 57, no. 6, 2011.