English

A Graph Representation for Two-Dimensional Finite Type Constrained Systems

Information Theory 2016-02-03 v2 math.IT

Abstract

The demand of two-dimensional source coding and constrained coding has been getting higher these days, but compared to the one-dimensional case, many problems have remained open as the analysis is cumbersome. A main reason for that would be because there are no graph representations discovered so far. In this paper, we focus on a two-dimensional finite type constrained system, a set of two-dimensional blocks characterized by a finite number of two-dimensional constraints, and propose its graph representation. We then show how to generate an element of the two-dimensional finite type constrained system from the graph representation.

Keywords

Cite

@article{arxiv.1602.00446,
  title  = {A Graph Representation for Two-Dimensional Finite Type Constrained Systems},
  author = {Takahiro Ota and Akiko Manada and Hiroyoshi Morita},
  journal= {arXiv preprint arXiv:1602.00446},
  year   = {2016}
}

Comments

5 pages

R2 v1 2026-06-22T12:40:43.386Z