Abstract-Using the theory of Poisson cluster process (PCP), this paper provides a framework to analyze multi-cell uplink non-orthogonal multiple access (NOMA) systems. Specifically, we characterize the rate coverage probability of an NOMA user who is at rank m (in terms of the distance from its serving base station) among all users in a cell and the mean rate coverage probability of all users in a cell. Since the signal-to-interference-plus-noise ratio of the mth user relies on efficient successive interference cancellation (SIC), we consider three scenarios, i.e., perfect SIC (in which the signals of m − 1 interferers who are stronger than the mth user are decoded successfully), imperfect SIC (in which the signals of m − 1 interferers who are stronger than the mth user may or may not be decoded successfully), and imperfect worst case SIC (in which the decoding of the signal of the mth user is always unsuccessful whenever the decoding of its relative m − 1 stronger users is unsuccessful). To derive the rate coverage expressions, we first characterize the Laplace transforms of the intra-cluster interferences in closed-form considering various SIC scenarios. The Laplace transform of the inter-cluster interference is then characterized by exploiting distance distributions from geometric probability. The derived expressions are customized for an equivalent OMA system. Finally, numerical results are presented to validate the derived expressions. The worst case SIC assumption provides remarkable simplifications in the mathematical analysis and is found to be highly accurate for higher user target rate requirements. A comparison of Poisson point process-based and PCP-based modeling is also conducted. Index Terms-Matern cluster process, multi-cell uplink NOMA, rate coverage probability, order statistics.
Using stochastic geometry, the performance of uplink NOMA in terms of the rate coverage and average achievable rate is characterized in REF using Poisson cluster process and considering both perfect and imperfect SIC.
Modeling and Analysis of Uplink Non-Orthogonal Multiple Access in Large-Scale Cellular Networks Using Poisson Cluster Processes
IEEE Transactions on Communications
IEEE Transactions on Communications
Mathematics Computer Science