Optimal Resource Allocation with Flexible Numerology

We consider a multi-user system that employs mixed numerology as defined by the 3rd Generation Partnership Project for a new radio physical layer design. Accounting for different channel conditions, imperfect channel knowledge and inter-band interference as a consequence of mixed numerology, we propose a new optimization method for resource allocation. Based on this method, we are able to optimally distribute the available bandwidth amongst the users, such that they achieve the same quality of service. We show how resource allocation depends on the channel properties such as Doppler and delay spread. In addition, optimal resource allocation is verified by simulations of a 5G compliant system.