Alvi, SheerazDurrani, SalmanZhou, Xiangyun2021-07-220018-9545http://hdl.handle.net/1885/241049Contention resolution diversity slotted ALOHA (CRDSA) is a promising solution to meet the challenge of designing efficient random access in future wireless networks. In this work, we consider CRDSA with transmit power diversity where each packet copy from a device is transmitted at a randomly selected power level. This results in inter-slot received power diversity, which is exploited by employing a signal-to-interference-plus-noise ratio based successive interference cancellation (SIC) receiver. Leveraging edge-weighted bipartite graph representation, we propose a novel graph-based message passing algorithm to model the SIC decoding. We derive an expression to characterise the recovery-error probability of the scheme. We also formulate and solve an optimization problem to determine the optimal transmit power distribution. The results show that by enhancing the capture effect, the optimal transmit power distribution leads to considerable performance improvement.This work was supported by the Australian Research Councils Discovery Project Funding Scheme (Project number DP170100939).© 2018 IEEERandom accessCRDSAmachine-type communicationcapture effectSIC2018-08-1310.1109/TVT.2018.2831926