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One and Two Bit Message Passing for SC-LDPC Codes with Higher-Order Modulation

Steiner, Fabian and Ben Yacoub, Emna and Matuz, Balazs and Liva, Gianluigi and Graell i Amat, Alexandre (2019) One and Two Bit Message Passing for SC-LDPC Codes with Higher-Order Modulation. Journal of Lightwave Technology, 37 (23), pp. 5914-5925. IEEE - Institute of Electrical and Electronics Engineers. ISSN 0733-8724

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Low complexity decoding algorithms are necessary to meet data rate requirements in excess of 1 Tbps. In this paper, we study one and two bit message passing algorithms for belief propagation decoding of low-density parity-check (LDPC) codes and analyze them by density evolution. The variable nodes (VNs) exploit soft information from the channel output. To decrease the data flow, the messages exchanged between check nodes (CNs) and VNs are represented by one or two bits. The newly proposed quaternary message passing (QMP) algorithm is compared asymptotically and in finite length simulations to binary message passing (BMP) and ternary message passing (TMP) for spectrally efficient communication with higher-order modulation and probabilistic amplitude shaping (PAS). To showcase the potential for high throughput forward error correction, spatially coupled LDPC codes and a target spectral efficiency (SE) of 3 bits/QAM symbol are considered. Gains of about 0.7 dB and 0.1 dB are observed compared to BMP and TMP, respectively. The gap to unquantized belief propagation (BP) decoding is reduced to about 0.75 dB. For smaller code rates, the gain of QMP compared to TMP is more pronounced and amounts to 0.24 dB in the considered example.

Item URL in elib:https://elib.dlr.de/133395/
Document Type:Article
Title:One and Two Bit Message Passing for SC-LDPC Codes with Higher-Order Modulation
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Ben Yacoub, Emnaemna.ben-yacoub (at) tum.deUNSPECIFIED
Matuz, BalazsBalazs.Matuz (at) dlr.deUNSPECIFIED
Liva, GianluigiGianluigi.Liva (at) dlr.deUNSPECIFIED
Graell i Amat, Alexandrealexandre.graell (at) chalmers.seUNSPECIFIED
Date:December 2019
Journal or Publication Title:Journal of Lightwave Technology
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 5914-5925
Publisher:IEEE - Institute of Electrical and Electronics Engineers
Keywords:Quantized LDPC decoders, binary message passing, ternary message passing, quaternary message passing, higher-order modulation, probabilistic amplitude shaping
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:other
DLR - Research area:Raumfahrt
DLR - Program:R - no assignment
DLR - Research theme (Project):R - no assignment
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Communication and Navigation > Satellite Networks
Deposited By: Matuz, Balazs
Deposited On:13 Jan 2020 13:38
Last Modified:13 Jan 2020 13:38

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