Entropy of Bit-Stuffing-Induced Measures for Two-Dimensional Checkerboard Constraints

Publication: Research - peer-reviewJournal article – Annual report year: 2007



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A modified bit-stuffing scheme for two-dimensional (2-D) checkerboard constraints is introduced. The entropy of the scheme is determined based on a probability measure defined by the modified bit-stuffing. Entropy results of the scheme are given for 2-D constraints on a binary alphabet. The constraints considered are 2-D RLL (d, infinity) for d = 2, 3 and 4 as well as for the constraint with a minimum 1-norm distance of 3 between Is. For these results the entropy is within 1-2% of an upper bound on the capacity for the constraint. As a variation of the scheme, periodic merging arrays are also considered.
Original languageEnglish
JournalI E E E Transactions on Information Theory
Issue number4
Pages (from-to)1537-1546
StatePublished - 2007

Bibliographical note

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CitationsWeb of Science® Times Cited: 10


  • run-length-limited (RLL) constraints, bit-stuffing encoding, 2-D constraints, cascading two-dimensional (2-D) arrays
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