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Fractional Doping of Protograph-Based Spatially Coupled LDPC Codes

Costello, Daniel J. ; Zhu, Min ; Mitchell, David G.M. and Lentmaier, Michael LU (2025) 13th International Symposium on Topics in Coding, ISTC 2025
Abstract

In this paper, we investigate ways to mitigate the problem of decoder error propagation (DEP) in sliding window decoding (SWD) of protograph-based spatially coupled low-density parity-check (SC-LDPC) codes for large frame length or streaming applications. In particular, in order to avoid subdividing a long frame into a series of shorter frames by using termination to combat DEP, we consider altering the code design by introducing occasional doped symbols into the encoded sequence, where the doping is accomplished by fixing the values of all or some of the variable nodes (VNs) at certain positions in the protograph.An important practical consideration in many applications is the ability to use systematic encoding. This necessitates that... (More)

In this paper, we investigate ways to mitigate the problem of decoder error propagation (DEP) in sliding window decoding (SWD) of protograph-based spatially coupled low-density parity-check (SC-LDPC) codes for large frame length or streaming applications. In particular, in order to avoid subdividing a long frame into a series of shorter frames by using termination to combat DEP, we consider altering the code design by introducing occasional doped symbols into the encoded sequence, where the doping is accomplished by fixing the values of all or some of the variable nodes (VNs) at certain positions in the protograph.An important practical consideration in many applications is the ability to use systematic encoding. This necessitates that no more than a fraction of the VNs at any given position can be doped, i.e., that fractional doping be employed. We begin by showing numerically that full doping of a single position in the protograph of a long frame improves performance relative to that of terminating the frame at half its length. We then show that fractional doping of consecutive VN positions at a given location in the protograph is comparable to full doping. We also show that spreading fractionally doped positions over multiple locations in the protograph results in additional gains, where the effective code rate of a doped frame is always at least as high as that of the shorter terminated frame.

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Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
code doping, sliding window decoding, Spatially coupled LDPC codes
host publication
2025 13th International Symposium on Topics in Coding, ISTC 2025
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
13th International Symposium on Topics in Coding, ISTC 2025
conference location
Los Angeles, United States
conference dates
2025-08-18 - 2025-08-22
external identifiers
  • scopus:105017967502
ISBN
9798331589837
DOI
10.1109/ISTC65386.2025.11154543
language
English
LU publication?
yes
id
1824be06-521f-430f-8e5a-dd68dff01109
date added to LUP
2025-12-05 11:21:25
date last changed
2025-12-05 11:22:15
@inproceedings{1824be06-521f-430f-8e5a-dd68dff01109,
  abstract     = {{<p>In this paper, we investigate ways to mitigate the problem of decoder error propagation (DEP) in sliding window decoding (SWD) of protograph-based spatially coupled low-density parity-check (SC-LDPC) codes for large frame length or streaming applications. In particular, in order to avoid subdividing a long frame into a series of shorter frames by using termination to combat DEP, we consider altering the code design by introducing occasional doped symbols into the encoded sequence, where the doping is accomplished by fixing the values of all or some of the variable nodes (VNs) at certain positions in the protograph.An important practical consideration in many applications is the ability to use systematic encoding. This necessitates that no more than a fraction of the VNs at any given position can be doped, i.e., that fractional doping be employed. We begin by showing numerically that full doping of a single position in the protograph of a long frame improves performance relative to that of terminating the frame at half its length. We then show that fractional doping of consecutive VN positions at a given location in the protograph is comparable to full doping. We also show that spreading fractionally doped positions over multiple locations in the protograph results in additional gains, where the effective code rate of a doped frame is always at least as high as that of the shorter terminated frame.</p>}},
  author       = {{Costello, Daniel J. and Zhu, Min and Mitchell, David G.M. and Lentmaier, Michael}},
  booktitle    = {{2025 13th International Symposium on Topics in Coding, ISTC 2025}},
  isbn         = {{9798331589837}},
  keywords     = {{code doping; sliding window decoding; Spatially coupled LDPC codes}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Fractional Doping of Protograph-Based Spatially Coupled LDPC Codes}},
  url          = {{http://dx.doi.org/10.1109/ISTC65386.2025.11154543}},
  doi          = {{10.1109/ISTC65386.2025.11154543}},
  year         = {{2025}},
}