Entropy of a bit-shift channel

Mathematics – Dynamical Systems

Scientific paper

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Published at http://dx.doi.org/10.1214/074921706000000293 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/

Scientific paper

10.1214/074921706000000293

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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