An Algorithm for Finding Energy Efficient Relay Positions in Cellular Network

In this paper, we propose an iterative algorithm for finding near-optimal Energy Efficient Relay Positions(EERP) in Amplify-and-Forward (AF) and Decode-and-Forward (DF) relay-assisted cellular networks. Each iteration of EERP algorithm contains two steps, i.e. energy efficient cell division and energy efficient center searching. Close-form expressions of energy efficient cell division boundaries are provided. And two-dimensional Fast Fourier Transform (FFT) is adopted to reduce the complexity of energy efficient center searching. Simulation results show near-optimal relay positions of different pathloss factors, relay scenarios and relay numbers, and demonstrates the effectiveness of EERP.

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