D-IRA Codes Over Integer Rings for Lattice-Based Multiple Access

Tianbo Zhang; Fangtao Yu; Tao Yang; Rongke Liu

doi:10.1109/LCOMM.2024.3484580

D-IRA Codes Over Integer Rings for Lattice-Based Multiple Access

Tianbo Zhang
, Fangtao Yu
, Tao Yang^*
, Rongke Liu

^*Corresponding author for this work

School of Electronic and Information Engineering

Beihang University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study capacity-approaching irregular repeat accumulate (IRA) codes over integer rings ℤ_2m for 2^m-PAM signaling, m=1,2, ⋯. Such codes belong to the ensemble of lattice codes. First, the effect of zero-divisors on the iterative belief-propagation (BP) decoding is analyzed. We show that the symmetric Gaussian approximation is invalid for existing IRA codes over integer rings. Then we propose a new doubly IRA (D-IRA) ring code structure, which consists of irregular multiplier distribution and irregular node-degree distribution. Such structure can restore the symmetry and optimize the BP decoding threshold. Numerical result demonstrates the improved performance of D-IRA codes for AWGN channel. Also, it is demonstrated that the lattice based multiple-access scheme with D-IRA code performs within 3 dB the capacity limit.

Original language	English
Pages (from-to)	2719-2723
Number of pages	5
Journal	IEEE Communications Letters
Volume	28
Issue number	12
DOIs	https://doi.org/10.1109/LCOMM.2024.3484580
State	Published - 2024

Keywords

Coded modulation
compute-forward
lattice codes
network information theory
physical-layer network coding

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10.1109/LCOMM.2024.3484580

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@article{4d3ed8951d2549648efb2b8407f91eeb,

title = "D-IRA Codes Over Integer Rings for Lattice-Based Multiple Access",

abstract = "We study capacity-approaching irregular repeat accumulate (IRA) codes over integer rings ℤ2m for 2m-PAM signaling, m=1,2, ⋯. Such codes belong to the ensemble of lattice codes. First, the effect of zero-divisors on the iterative belief-propagation (BP) decoding is analyzed. We show that the symmetric Gaussian approximation is invalid for existing IRA codes over integer rings. Then we propose a new doubly IRA (D-IRA) ring code structure, which consists of irregular multiplier distribution and irregular node-degree distribution. Such structure can restore the symmetry and optimize the BP decoding threshold. Numerical result demonstrates the improved performance of D-IRA codes for AWGN channel. Also, it is demonstrated that the lattice based multiple-access scheme with D-IRA code performs within 3 dB the capacity limit.",

keywords = "Coded modulation, compute-forward, lattice codes, network information theory, physical-layer network coding",

author = "Tianbo Zhang and Fangtao Yu and Tao Yang and Rongke Liu",

note = "Publisher Copyright: {\textcopyright} 1997-2012 IEEE.",

year = "2024",

doi = "10.1109/LCOMM.2024.3484580",

language = "英语",

volume = "28",

pages = "2719--2723",

journal = "IEEE Communications Letters",

issn = "1089-7798",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "12",

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TY - JOUR

T1 - D-IRA Codes Over Integer Rings for Lattice-Based Multiple Access

AU - Zhang, Tianbo

AU - Yu, Fangtao

AU - Yang, Tao

AU - Liu, Rongke

PY - 2024

Y1 - 2024

N2 - We study capacity-approaching irregular repeat accumulate (IRA) codes over integer rings ℤ2m for 2m-PAM signaling, m=1,2, ⋯. Such codes belong to the ensemble of lattice codes. First, the effect of zero-divisors on the iterative belief-propagation (BP) decoding is analyzed. We show that the symmetric Gaussian approximation is invalid for existing IRA codes over integer rings. Then we propose a new doubly IRA (D-IRA) ring code structure, which consists of irregular multiplier distribution and irregular node-degree distribution. Such structure can restore the symmetry and optimize the BP decoding threshold. Numerical result demonstrates the improved performance of D-IRA codes for AWGN channel. Also, it is demonstrated that the lattice based multiple-access scheme with D-IRA code performs within 3 dB the capacity limit.

AB - We study capacity-approaching irregular repeat accumulate (IRA) codes over integer rings ℤ2m for 2m-PAM signaling, m=1,2, ⋯. Such codes belong to the ensemble of lattice codes. First, the effect of zero-divisors on the iterative belief-propagation (BP) decoding is analyzed. We show that the symmetric Gaussian approximation is invalid for existing IRA codes over integer rings. Then we propose a new doubly IRA (D-IRA) ring code structure, which consists of irregular multiplier distribution and irregular node-degree distribution. Such structure can restore the symmetry and optimize the BP decoding threshold. Numerical result demonstrates the improved performance of D-IRA codes for AWGN channel. Also, it is demonstrated that the lattice based multiple-access scheme with D-IRA code performs within 3 dB the capacity limit.

KW - Coded modulation

KW - compute-forward

KW - lattice codes

KW - network information theory

KW - physical-layer network coding

UR - https://www.scopus.com/pages/publications/85207412883

U2 - 10.1109/LCOMM.2024.3484580

DO - 10.1109/LCOMM.2024.3484580

M3 - 文章

AN - SCOPUS:85207412883

SN - 1089-7798

VL - 28

SP - 2719

EP - 2723

JO - IEEE Communications Letters

JF - IEEE Communications Letters

IS - 12

ER -

D-IRA Codes Over Integer Rings for Lattice-Based Multiple Access

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