Splitting algorithms in channels with markovian capture

Matan Seri, Moshe Sidi · European Transactions on Telecommunications · 1994

Abstract In this paper we study the performance of tree‐like splitting collision resolution algorithms in channels with markovian capture. In particular, we assume that in each slot the channel can be in one of two states ‐b (for “bad”) and g (for “good”). When the channel is in state b, a capture can never occur. When the channel is in state g and n nodes (n ≥ 2) are transmitting, a capture occurs with probability πn. The sequence of channel states is assumed to be a homogeneous Markov chain. We derive the throughput of a splitting tree‐like multiple access algorithm for this channel. We also provide simulation results for the average delay.

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