A Potential Theory of General Spatially-Coupled Systems via a Continuum Approximation
Information Theory
2013-04-19 v2 math.IT
Abstract
This paper analyzes general spatially-coupled (SC) systems with multi-dimensional coupling. A continuum approximation is used to derive potential functions that characterize the performance of the SC systems. For any dimension of coupling, it is shown that, if the boundary of the SC systems is fixed to the unique stable solution that minimizes the potential over all stationary solutions, the systems can approach the optimal performance as the number of coupled systems tends to infinity.
Keywords
Cite
@article{arxiv.1301.5728,
title = {A Potential Theory of General Spatially-Coupled Systems via a Continuum Approximation},
author = {Keigo Takeuchi and Toshiyuki Tanaka and Kenta Kasai},
journal= {arXiv preprint arXiv:1301.5728},
year = {2013}
}
Comments
submitted to IEEE ITW2013