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Journal article

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

From

Coding and Visual Communication, Department of Photonics Engineering, Technical University of Denmark1

Department of Photonics Engineering, Technical University of Denmark2

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.

Language: English
Publisher: IEEE
Year: 2007
Pages: 1537-1546
ISSN: 15579654 and 00189448
Types: Journal article
DOI: 10.1109/TIT.2007.892781
ORCIDs: Forchhammer, Søren

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