Weight Distributions of Multi-Edge type LDPC Codes
Kenta KASAI, Tomoharu AWANO, David DECLERCQ, Charly POULLIAT, and Kohichi SAKANIWA
TL;DR
This paper derives the average weight distributions for multi-edge type LDPC codes, analyzes their asymptotic growth, and explores their relation to the stability condition in density evolution, enhancing understanding of structured LDPC code properties.
Contribution
It provides the first derivation of average weight distributions for multi-edge type LDPC codes and links these to their stability conditions.
Findings
Derived average weight distributions for multi-edge type LDPC codes
Analyzed asymptotic exponential growth rate of distributions
Connected weight distribution properties to density evolution stability
Abstract
The multi-edge type LDPC codes, introduced by Richardson and Urbanke, present the general class of structured LDPC codes. In this paper, we derive the average weight distributions of the multi-edge type LDPC code ensembles. Furthermore, we investigate the asymptotic exponential growth rate of the average weight distributions and investigate the connection to the stability condition of the density evolution.
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