Analytical Modeling of Resource Allocation in D2D Overlaying Multihop Multichannel Uplink Cellular Networks

Device-To-device (D2D) communication, which enables two closely located users to communicate with each other without traversing the base station (BS), has become an emerging technology for network engineers to optimize network performance. This paper presents a framework based on stochastic geometry for D2D multichannel overlaying uplink cellular networks. In this framework, a part of mobile devices and machines (namely cellular users) can upload data to the nearest BSS directly through cellular channels, the other mobile devices and machines (namely D2D users) must upload data to their own relays through D2D channels, and then, the relays communicate with the nearest BSS through cellular channels. D2D users upload data with a fixed transmit power, while cellular users and D2D relays do so by adopting the channel inversion power control with maximum transmit power limit. This tractable framework is able to model and analyze how different parameters affect the coverage probability and ergodic rate of users in the cellular network. As validated by extensive numerical results, the framework can help us to determine the optimal channel allocation to achieve the best network performance efficiently.