Resource Allocation for the Multiband Relay Channel: A Building Block for Hybrid Wireless Networks
The authors investigate optimal resource allocation for the multiband relay channel. They find the optimal power and bandwidth allocation strategies that maximize the bounds on the capacity, by solving the corresponding max-min optimization problem. They provide sufficient conditions under which the associated max-min problem is equivalent to a supporting plane problem, which renders the solution for an arbitrary number of bands tractable. In addition, the sufficient conditions derived are general enough so that a class of utility functions can be accommodated with this formulation. As an example, they concentrate on the case where the source has two bands and the relay has a single band available and find the optimal resource allocation.