On the Spread of Random Interleaver

Arya Mazumdar; Adrish Banerjee; A K Chaturvedi

doi:10.1109/isit.2005.1523372

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On the Spread of Random Interleaver

Arya Mazumdar·Adrish Banerjee·A K Chaturvedi

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Abstract

For 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.

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Arya Mazumdar, Adrish Banerjee, A K Chaturvedi. 2005-10-23. On the Spread of Random Interleaver. https://doi.org/10.1109/isit.2005.1523372

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