Energy Efficiency Analysis of Multi-Antenna Heterogeneous Relay-Assisted Cellular Network via Stochastic Geometry

—Energy Efficiency (EE) of cellular networks has received considerable attention recently. However, EE of relayassisted cellular networks has not been thoroughly addressed, especially that the MBSs adopt multi-antenna. In this paper, considering downlink transmission of multi-antenna relayassisted cellular network where the MBSs and RSs are deployed in the Euclidean plane according to independent homogeneous Poisson point processes, meanwhile, an sleep mode strategy is used in MBS, a geometric model is built to derive the coverage probability for the MBS to user (UE), the MBS to Relay Station (RS), the RS to UE links and analyze the system EE. A metric defined as the ratio of average network throughput to average network power consumption is used to measure the average EE and its analytical expression is derived. Simulation results confirm the theoretical findings and demonstrate that the MBSs equipped with multi-antenna has better performance on energy efficiency and coverage probability of every link than that with single antenna.