Optimal transmission distance of mean progress and mean transport in device-to-device networks

In this paper, stochastic geometry is used to quantitatively solve the issue of optimal transmission distance in device-to-device hybrid network. Two interference sources are taken into account: mobiles transmitting to base stations, and mobiles transmitting to other mobiles. Transmission distance is assumed equal in this paper, and we explore the optimal transmission distance of mean progress and mean transport, that is, the product of transmission distance and coverage probability, and the product of transmission distance and throughput, respectively. Parameters such as intensity of mobiles, the proportion of mobile regarded as device transmitters, signal-to-interference-plus-noise ratio requirement, ratio of transmit power of macro terminals to mobile devices, and path loss exponent, are considered in our mathematical expressions. In this paper, we illustrate how the stochastic geometry can be used in studying the device-to-device issues, and how the optimal transmission distance changes regarding the parameters.