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On the capacity of two-dimensional run-length constrained channels

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2 Author(s)
Kato, A. ; Dept. of Math. Eng. & Inf. Phys., Tokyo Univ., Japan ; Zeger, K.

Two-dimensional binary patterns that satisfy one-dimensional (d, k) run-length constraints both horizontally and vertically are considered. For a given d and k, the capacity Cd,k is defined as Cd,k=limm,n→∞log2Nm,n d,k/mn, where Nm,nd,k denotes the number of m×n rectangular patterns that satisfy the two-dimensional (d,k) run-length constraint. Bounds on Cd,k are given and it is proven for every d⩾1 and every k>d that Cd,k=0 if and only if k=d+1. Encoding algorithms are also discussed

Published in:

Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 5 )

Date of Publication:

Jul 1999

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