Spectral Efficiency of Multi-Hop Millimeter Wave Networks Using N^thBest Relay Routing Technique

In this paper, we propose a novel routing technique for millimeter wave (mmWave) networks to improve the spectral efficiency. The performance of the proposed nth best relay routing technique is investigated using tools from stochastic geometry. First, we derive the probability density function (PDF) of the distance between the nth best relay and destination. Capitalizing on this result, we derive a closed-form expression of the coverage probability over the log-normal fading channels. Monte Carlo simulations show an accurate match with the analytical results. We further demonstrate that the coverage probability varies according to specific system parameters, such as density of relays, blockage density and the signal-to-noise ratio threshold. Furthermore, we show that the adaptive signal-to-noise ratio threshold plays an important role in improving the spectral efficiency for different relay density, blockage density and the order of best relay (n). These findings provide insights for designing multi-hop mmWave networks with better performance.