On the Spread of Random Interleaver

dc.creatorMazumdar, Arya
dc.creatorBanerjee, Adrish
dc.creatorChaturvedi, A K
dc.date2005-10-23
dc.date.accessioned2026-07-07T08:17:53Z
dc.date.available2026-07-07T08:17:53Z
dc.descriptionFor a given blocklength we determine the number of interleavers which have spread equal to two. Using this, we find out the probability that a randomly chosen interleaver has spread two. We show that as blocklength increases, this probability increases but very quickly converges to the value $1-e^{-2} \approx 0.8647$. Subsequently, we determine a lower bound on the probability of an interleaver having spread at least $s$. We show that this lower bound converges to the value $e^{-2(s-2)^{2}}$, as the blocklength increases.
dc.description5 pages, published in Proceedings of IEEE International Symposium on Information Theory 2005, Adelaide, Australia
dc.identifierhttps://arxiv.org/abs/cs/0510067
dc.identifierhttp://arxiv.org/abs/cs/0510067
dc.identifierIEEE International Symposium on Information Theory 2005
dc.identifierdoi:10.1109/ISIT.2005.1523372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134246
dc.subjectInformation Theory
dc.titleOn the Spread of Random Interleaver
dc.typetext

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