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Associated with multi-packet reception at the access point, irregularrepetition slotted ALOHA (IRSA) holds a great potential in improving the accesscapacity of massive machine type communication systems. Considering thetime-frequency resource efficiency, K = 2 (multi-packet reception capability)may be the most suitable scheme for scenarios that allow smaller resourceefficiency in exchange for greater throughput. In this paper, we analyticallyderive an optimal transmission probability distribution for IRSA with K = 2,which achieves a significant higher load threshold than the existing benchmarkdistributions. In addition, the energy efficiency optimization in terms of themaximum repetition rate is also presented.

Optimal Distribution Design for Irregular Repetition Slotted ALOHA with Multi-Packet Reception