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Summary  This paper studies energy efficiency maximization in device‐to‐device (D2D) communications underlaying cellular networks in millimeter‐wave (mm‐wave) band. A stochastic geometry framework has been used to extract the results. First, cellular and D2D users are modeled by independent homogeneous Poisson point process; then, exact expressions for successful transmission probability of D2D and cellular users have been derived. Furthermore, the average sum rate and energy efficiency for a typical D2D scenario have been presented. An optimization problem subject to transmission power and quality of service constraints for both cellular and D2D users has been defined, and energy efficiency of D2D communication is maximized. Simulation results reveal that by working in millimeter‐wave, significant energy efficiency improvement can be attained, e.g., 20% energy efficiency improvement compared with Rayleigh distribution in the practical scenarios by considering circuit power. Finally, to verify our analytical expressions, the simulation studies are carried out, and the excellent agreements have been achieved.

Energy efficiency optimization for device‐to‐device communication underlaying cellular networks in millimeter‐wave