Code Annealing and the Suppressing Effect of the Cyclically Lifted LDPC Code Ensemble
Chih-Chun Wang (Purdue University)

TL;DR
This paper introduces code annealing combined with cyclic lifting to design short block length codes with low error floors, providing analytical tools and methods to optimize code performance and suppress error floors effectively.
Contribution
It proposes a novel code design method integrating code annealing and cyclic lifting, with analytical insights into error floor suppression and new construction techniques for low FER codes.
Findings
Cyclic lifting significantly suppresses error floors in code ensembles.
Analytical expressions and bounds for FER error floors are derived.
Regular and irregular codes achieve 10^4 to 10^6 times lower FER than classic codes.
Abstract
Code annealing, a new method of designing good codes of short block length, is proposed, which is then concatenated with cyclic lifting to create finite codes of low frame error rate (FER) error floors without performance outliers. The stopping set analysis is performed on the cyclically lifted code ensemble assuming uniformly random lifting sequences, and the suppressing effect/weight of the cyclic lifting is identified for the first time, based on which the ensemble FER error floor can be analytically determined and a scaling law is derived. Both the first-order and high-order suppressing effects are discussed and quantified by different methods including the explicit expression, an algorithmic upper bound, and an algebraic lower bound. The mismatch between the suppressing weight and the stopping distances explains the dramatic performance discrepancy among different cyclically…
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Taxonomy
TopicsError Correcting Code Techniques · Advanced Wireless Communication Techniques · Cooperative Communication and Network Coding
