Asymptotic Achievable Rate of Two-Dimensional Constraint Codes based on Column by Column Encoding
Year: 2018
Type: preprint
Abstract: In this paper, we propose a column by column encoding scheme suitable for two-dimensional (2D) constraint codes and derive a lower bound of its maximum achievable rate. It is shown that the maximum achievable rate is equal to the largest minimum degree of a subgraph of the maximal valid pair graph. A graph theoretical analysis to provide a lower bound of the maximum achievable rate is presented. For several 2D-constraints such as the asymmetric and symmetric non-isolated bit constraints, the values of the lower bound are evaluated.
Source: arXiv (Cornell University)
Authors: Hirata, Kazuya, Wadayama, Tadashi
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2796865452