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Entropy of a bit-shift channel

Stan Baggen·Vladimir Balakirsky·Dee Denteneer·Sebastian Egner·Henk Hollmann·Ludo Tolhuizen·Evgeny Verbitskiy
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Abstract

We consider a simple transformation (coding) of an iid source called a bit-shift channel. This simple transformation occurs naturally in magnetic or optical data storage. The resulting process is not Markov of any order. We discuss methods of computing the entropy of the transformed process, and study some of its properties.

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Stan Baggen, Vladimir Balakirsky, Dee Denteneer, Sebastian Egner, Henk Hollmann, Ludo Tolhuizen, Evgeny Verbitskiy. 2006-08-10. Entropy of a bit-shift channel. https://doi.org/10.1214/074921706000000293

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