Generalized LDPC Codes with Convolutional Code Constraints

02/13/2020
by   Muhammad Umar Farooq, et al.
0

Braided convolutional codes (BCCs) are a class of spatially coupled turbo-like codes that can be described by a (2,3)-regular compact graph. In this paper, we introduce a family of (d_v,d_c)-regular GLDPC codes with convolutional code constraints (CC-GLDPC codes), which form an extension of classical BCCs to arbitrary regular graphs. In order to characterize the performance in the waterfall and error floor regions, we perform an analysis of the density evolution thresholds as well as the finite-length ensemble weight enumerators and minimum distances of the ensembles. In particular, we consider various ensembles of overall rate R=1/3 and R=1/2 and study the trade-off between variable node degree and strength of the component codes. We also compare the results to corresponding classical LDPC codes with equal degrees and rates. It is observed that for the considered LDPC codes with variable node degree d_v>2, we can find a CC-GLDPC code with smaller d_v that offers similar or better performance in terms of BP and MAP thresholds at the expense of a negligible loss in the minimum distance.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
11/30/2022

Improving the Thresholds of Generalized LDPC Codes with Convolutional Code Constraints

CC-GLPDC codes are a class of generalized low-density parity-check (GLDP...
research
05/03/2021

Generalized Spatially Coupled Parallel Concatenated Convolutional Codes With Partial Repetition

We introduce generalized spatially coupled parallel concatenated codes (...
research
06/16/2019

Density Evolution Analysis of Partially Information Coupled Turbo Codes on the Erasure Channel

In this paper, we investigate the performance of a class of spatially co...
research
06/22/2020

Partially Information Coupled Duo-Binary Turbo Codes

Partially information coupled turbo codes (PIC-TCs) is a class of spatia...
research
09/12/2018

Free Pseudodistance Growth Rates for Spatially Coupled LDPC Codes over the BEC

The minimum pseudoweight is an important parameter related to the decodi...
research
12/24/2020

Analysis and Design of Partially Information- and Partially Parity-Coupled Turbo Codes

In this paper, we study a class of spatially coupled turbo codes, namely...
research
02/15/2017

Time-Invariant LDPC Convolutional Codes

Spatially coupled codes have been shown to universally achieve the capac...

Please sign up or login with your details

Forgot password? Click here to reset