Stochastic geometry analysis of multi-user asynchronous OFDM wireless networks

This letter develops an analytical framework for the analysis of asynchronous orthogonal frequency division multiplexing (OFDM)-based wireless networks. We assume that the transmitters have different timing misalignments with respect to a typical receiver, which results in a loss of orthogonality between different OFDM sub-carriers. Moreover, the position of a used sub-carrier, within the available spectrum, is taken into consideration in order to make the analysis more precise. A frequency selective wireless channel is considered, in order to appropriately characterize the impact of misaligned multi-user interference on the coverage probability of a typical user. The analysis is conducted by using the mathematical tool of stochastic geometry and by considering a social interaction-based connectivity model. With the aid of the proposed analytical framework, the impact of the considered connectivity model is studied and discussed. The developed approach is validated via Monte Carlo simulations.