Bounds on the capacity of constrained two-dimensional codes

  • Authors:
  • S. Forchhammer;J. Justesen

  • Affiliations:
  • Dept. of Telecommun., Tech. Univ. Denmark, Lyngby;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Bounds on the capacity of constrained two-dimensional (2-D) codes are presented. The bounds of Calkin and Wilf (see SIAM J. Discr. Math., vol.11, no.1, p.54-60, 1998) apply to first-order symmetric constraints. The bounds are generalized in a weaker form to higher order and nonsymmetric constraints. Results are given for constraints specified by run-length limits or a minimum distance between pixels of a given value