We study downlink transmission in a multi-band heterogeneous network comprising unmanned aerial vehicle(UAV) small base stations and ground-based dual mode mm Wave small cells within the coverage area of a microwave (W) macro base station. We formulate a two-layer optimization frame work to simultaneously find efficient coverage radius for the UAVs and energy efficient radio resource management for the network,subject to minimum quality-of-service (QoS) and maximum transmission power constraints. The outer layer derives an optimal coverage radius/height for each UAV as a function of the maximum allowed path loss. The inner layer formulates an optimization problem to maximize the system energy efficiency(EE), defined as the ratio between the aggregate user data rate delivered by the system and its aggregate energy consumption(downlink transmission and circuit power). We demonstrate that at certain values of the target SINR introducing the UAV base stations doubles the EE. We also show that an increase in beyond an optimal EE point decreases the EE.
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