Performance Analysis of Frequency Hopping Ad Hoc Communication System With Non-Orthogonal Multiple Access

In this paper, we investigate the downlink performance of frequency hopping Ad Hoc communication system with non-orthogonal multiple access (FH-NOMA Ad Hoc), in which the mobile users are divided into multiple groups defined as NOMA clusters. Each NOMA cluster works on a certain frequency resource block with frequency hopping. Each mobile user in a NOMA cluster can act as NOMA transmitter with equal access probability and serve the rest mobile users with differentiated power allocation. With the considered network model, a stochastic geometry framework is provided to analyze the coverage and data rate performance of the FH-NOMA Ad Hoc network. Expressions for the coverage probability and the average data rate of a typical mobile user are derived. Finally, numerical and Monte Carlo simulations are provided to validate the theoretical analysis. The results reveal that the coverage probability of the FH-NOMA Ad Hoc network can be improved by varying the radius of each NOMA cluster, the number of frequency points, the density of NOMA clusters and user power allocation. Importantly, there is a constraint relationship between the density of NOMA clusters and the number of frequency points.