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Sparse vector coding (SVC) is a promising short-packet transmission method for ultra reliable low latency communication (URLLC) in next generation communication systems. In this paper, a dual-mapping SVC (DM-SVC) based short packet…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Yanfeng Zhang , Xu Zhu , Jinkai Zheng , Weiwei Yang , Xianhua Yu , Haiyong Zeng , Yujie Liu , Yong Liang Guan

Linear Programming (LP) decoding of Low-Density Parity-Check (LDPC) codes has attracted much attention in the research community in the past few years. LP decoding has been derived for binary and nonbinary linear codes. However, the most…

Information Theory · Computer Science 2016-11-17 Mayur Punekar , Pascal O. Vontobel , Mark F. Flanagan

Partial decoding has the potential to achieve a larger capacity region than full decoding in two-way relay (TWR) channels. Existing partial decoding realizations are however designed for Gaussian channels and with a static physical layer…

Information Theory · Computer Science 2016-11-15 Jianquan Liu , Meixia Tao , Youyun Xu

Low-density parity-check codes, a class of capacity-approaching linear codes, are particularly recognized for their efficient decoding scheme. The decoding scheme, known as the sum-product, is an iterative algorithm consisting of passing…

Information Theory · Computer Science 2014-05-27 Nima Noorshams , Aravind Iyengar

This work addresses the physical layer channel code design for an uncoordinated, frame- and slot-asynchronous random access protocol. Starting from the observation that collisions between two users yield very specific interference patterns,…

Information Theory · Computer Science 2019-08-06 Federico Clazzer , Balazs Matuz , Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Sarah J. Johnson

Sparse Vector Coding (SVC) has long been considered an encoding method that meets the URLLC QOS requirements. This encoding method has been widely studied and applied due to its low encoding and decoding complexity, no pilot transmission,…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Yifei Yang

We consider automorphism ensemble decoding (AED) of quasi-cyclic (QC) low-density parity-check (LDPC) codes. Belief propagation (BP) decoding on the conventional factor graph is equivariant to the quasi-cyclic automorphisms and therefore…

Information Theory · Computer Science 2022-08-17 Marvin Geiselhart , Moustafa Ebada , Ahmed Elkelesh , Jannis Clausius , Stephan ten Brink

The goal of the paper is to study specific properties of nonbinary low-density parity-check (NB LDPC) codes when used in coded modulation systems. The paper is focused on the practically important NB LDPC codes over extensions of the Galois…

Information Theory · Computer Science 2022-05-25 Irina E. Bocharova , Boris D. Kudryashov , Evgenii P. Ovsyannikov , Vitaly Skachek

In this work, we present an adaptive reliability-driven conditional innovation (AR-CID) decoding algorithm for low-density parity check (LDPC) codes. The proposed AR-CID decoding algorithm consists of one stage of message quality checking…

Information Theory · Computer Science 2026-01-13 Hassan Touati , Rodrigo C. de Lamare

The recent work of Sommer, Feder and Shalvi presented a new family of codes called low density lattice codes (LDLC) that can be decoded efficiently and approach the capacity of the AWGN channel. A linear time iterative decoding scheme which…

Information Theory · Computer Science 2010-03-23 Danny Bickson , Alexander T. Ihler , Danny Dolev

An energy-efficient approach is presented for shaping a bit-interleaved low-density parity-check (LDPC) coded amplitude phase-shift keying (APSK) system. A subset of the interleaved bits output by a binary LDPC encoder are passed through a…

Information Theory · Computer Science 2013-04-22 Matthew C. Valenti , Xingyu Xiang

In this paper we consider the generalization of binary spatially coupled low-density parity-check (SC-LDPC) codes to finite fields GF$(q)$, $q\geq 2$, and develop design rules for $q$-ary SC-LDPC code ensembles based on their iterative…

Information Theory · Computer Science 2014-11-18 Lai Wei , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello

This letter describes how to improve performance of cellular systems by combining non-equiprobable signaling (shaping) with low-density parity check (LDPC) coding for an orthogonal frequency division multiplexing system. We focus on…

Signal Processing · Electrical Eng. & Systems 2026-02-03 Sandesh Rao Mattu , Nishant Mehrotra , Robert Calderbank

Cyclic liftings are proposed to lower the error floor of low-density parity-check (LDPC) codes. The liftings are designed to eliminate dominant trapping sets of the base code by removing the short cycles which form the trapping sets. We…

Information Theory · Computer Science 2010-02-24 Reza Asvadi , Amir H. Banihashemi , Mahmoud Ahmadian-Attari

In this paper, we propose a method for designing sparse Grassmannian codes for noncoherent multiple-input multiple-output systems. Conventional pairwise error probability formulations under uncorrelated Rayleigh fading channels fail to…

Signal Processing · Electrical Eng. & Systems 2026-01-30 Joe Asano , Yuto Hama , Hiroki Iimori , Chandan Pradhan , Szabolcs Malomsoky , Naoki Ishikawa

Binary message-passing decoders for low-density parity-check (LDPC) codes are studied by using extrinsic information transfer (EXIT) charts. The channel delivers hard or soft decisions and the variable node decoder performs all computations…

Information Theory · Computer Science 2016-11-18 Gottfried Lechner , Troels Pedersen , Gerhard Kramer

A new coded modulation scheme is proposed. At the transmitter, the concatenation of a distribution matcher and a systematic binary encoder performs probabilistic signal shaping and channel coding. At the receiver, the output of a bitwise…

Information Theory · Computer Science 2015-04-23 Georg Böcherer , Patrick Schulte , Fabian Steiner

In this paper, we analyze the finite-length performance of codes on graphs constructed by connecting spatially coupled low-density parity-check (SC-LDPC) code chains. Successive (peeling) decoding is considered for the binary erasure…

Information Theory · Computer Science 2014-03-03 Pablo M. Olmos , David G. M. Mitchell , Dmitri Truhachev , Daniel J. Costello

This article introduces a novel non-orthogonal multiple access (NOMA) scheme for coordinated uplink channels. The scheme builds on the recently proposed sparse-regression low-density parity-check (SR-LDPC) code, and extends the underlying…

Information Theory · Computer Science 2024-10-23 Jamison R. Ebert , Jean-Francois Chamberland , Krishna R. Narayanan

In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Yang Yu , Wen Chen , Lili Wei