A fluid approach for performance analysis of LTE-A networks with relays

In this paper, we address the problem of the impact of relays on the performance of a LTE-A based network. In this aim, we propose a new framework, the 'fluid model for LTE-A networks with relays'. We derive from this model analytical simple formulas for the Signal to Interference plus Noise ratio (SINR), taking into account inter-cell interference, which allow to study performance of wireless networks constituted by macro base stations and relays. In our analysis, a fraction τ of radio resources is dedicated to the base-station (eNode-B)/relay nodes (RN) communication. By using the fluid model, we instantaneously quantify an optimized value of τ, according to the number of relays, which allows to increase the capacity. In the remaining resources, eNodes-B and RNs transmit simultaneously to users. During this phase, the network is densified in the sense that the transmitters density and so network capacity are increased. Performance results show that cell capacity is boosted thanks to densification despite a degradation of the signal quality.