Finite-Length Analysis of Irregular Repetition Slotted ALOHA in the Waterfall Region - 2018


A finite-length analysis is introduced for irregular repetition slotted ALOHA (IRSA) that allows to accurately estimate its performance within the moderate-to-high packet loss likelihood regime, i.e., in the so-known as waterfall region. The analysis is tailored to the collision channel model, that enables mapping the outline of the successive interference cancellation process onto the iterative erasure decoding of low-density parity-check codes. The analysis provides correct estimates of the packet loss chance of IRSA within the waterfall region as demonstrated by Monte Carlo simulations.

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