Improving the Thresholds of Generalized LDPC Codes with Convolutional Code Constraints

11/30/2022
by   Muhammad Umar Farooq, et al.
0

CC-GLPDC codes are a class of generalized low-density parity-check (GLDPC) codes where the constraint nodes (CNs) represent convolutional codes. This allows for efficient decoding in the trellis with the forward-backward algorithm, and the strength of the component codes easily can be controlled by the encoder memory without changing the graph structure. In this letter, we extend the class of CC-GLDPC codes by introducing different types of irregularity at the CNs and investigating their effect on the BP and MAP decoding thresholds for the binary erasure channel (BEC). For the considered class of codes, an exhaustive grid search is performed to find the BP-optimized and MAP-optimized ensembles and compare their thresholds with the regular ensemble of the same design rate. The results show that irregularity can significantly improve the BP thresholds, whereas the thresholds of the MAP-optimized ensembles are only slightly different from the regular ensembles. Simulation results for the AWGN channel are presented as well and compared to the corresponding thresholds.

READ FULL TEXT
research
02/13/2020

Generalized LDPC Codes with Convolutional Code Constraints

Braided convolutional codes (BCCs) are a class of spatially coupled turb...
research
03/25/2020

Joint Shortening and Puncturing Optimization for Structured LDPC Codes

The demand for flexible broadband wireless services makes the pruning te...
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
02/28/2018

Thresholds of Braided Convolutional Codes on the AWGN Channel

In this paper, we perform a threshold analysis of braided convolutional ...
research
09/18/2020

The Stability of Low-Density Parity-Check Codes and Some of Its Consequences

We study the stability of low-density parity-check (LDPC) codes under bl...
research
05/17/2022

Design of Joint Source-Channel Codes Based on a Single Protograph

In this paper, we propose using a single protograph to design joint sour...
research
03/10/2021

EBP-GEXIT Charts for M-ary AWGN Channel for Generalized LDPC and Turbo Codes

This work proposes a tractable estimation of the maximum a posteriori (M...

Please sign up or login with your details

Forgot password? Click here to reset