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Polar codes are the first provably capacity-achieving forward error correction codes. To improve decoder throughput, the symbol-decision SC algorithm makes hard-decision for multiple bits at a time. In this paper, we prove that for polar…

Information Theory · Computer Science 2015-01-09 Chenrong Xiong , Jun Lin , Zhiyuan Yan

Low-density parity-check (LDPC) codes are among the most prominent error-correction schemes. They find application to fortify various modern storage, communication, and computing systems. Protograph-based (PB) LDPC codes offer many degrees…

Information Theory · Computer Science 2025-12-29 Ata Tanrıkulu , Mete Yıldırım , Ahmed Hareedy

We consider spatially coupled low-density parity-check (SC-LDPC) codes within a non-orthogonal interleave division multiple access (IDMA) scheme to avoid cumbersome degree profile matching of the LDPC code components to the iterative…

Information Theory · Computer Science 2019-01-29 Sebastian Cammerer , Xiaojie Wang , Yingyan Ma , Stephan ten Brink

This paper is concerned with the ordered statistic decoding with local constraints (LC-OSD) of binary linear block codes, which is a near maximum-likelihood decoding algorithm. Compared with the conventional OSD, the LC-OSD significantly…

Information Theory · Computer Science 2024-01-31 Jifan Liang , Xiao Ma

New algorithms for efficient decoding of polar codes (which may be CRC-augmented), transmitted over either a binary erasure channel (BEC) or an additive white Gaussian noise channel (AWGNC), are presented. We start by presenting a new…

Information Theory · Computer Science 2021-07-14 Yonatan Urman , Guy Mogilevsky , David Burshtein

To extend the applications of polar codes within next-generation wireless communication systems, it is essential to incorporate support for Incremental Redundancy (IR) Hybrid Automatic Repeat Request (HARQ) schemes. For very high-throughput…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Marwan Jalaleddine , Mohamad Ali Jarkas , Jiajie Li , Warren J. Gross

Spatial coupling was proved to improve the belief-propagation (BP) performance up to the maximum-a-posteriori (MAP) performance. This paper addresses an extended class of spatially coupled (SC) systems. A potential function is derived for…

Information Theory · Computer Science 2014-04-21 Keigo Takeuchi

This letter proposes a novel method for accelerating iterative detection for spatially coupled (SC) systems. An SC system is constructed by one-dimensional coupling of many subsystems, which are classified into training and propagation…

Information Theory · Computer Science 2016-11-18 Keigo Takeuchi

Semidefinite programming (SDP) is widely acknowledged as one of the most effective methods for deriving the tightest lower bounds of the optimal power flow (OPF) problems. In this paper, an enhanced semidefinite relaxation model that…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Zhaojun Ruan , Libao Shi

Distributed Space-Time Block Codes (DSTBCs) from Complex Orthogonal Designs (CODs) (both square and non-square CODs other than the Alamouti design) are known to lose their single-symbol ML decodable (SSD) property when used in two-hop…

Information Theory · Computer Science 2009-08-04 J. Harshan , B. Sundar Rajan , Are Hjørungnes

Compute-and-forward relaying is effective to increase bandwidth efficiency of wireless two-way relay channels. In a compute-and-forward scheme, a relay tries to decode a linear combination composed of transmitted messages from other…

Information Theory · Computer Science 2018-01-22 Satoshi Takabe , Yuta Ishimatsu , Tadashi Wadayama , Masahito Hayashi

Recently, Guo and Xia introduced low complexity decoders called Partial Interference Cancellation (PIC) and PIC with Successive Interference Cancellation (PIC-SIC), which include the Zero Forcing (ZF) and ZF-SIC receivers as special cases,…

Information Theory · Computer Science 2011-04-29 Lakshmi Prasad Natarajan , B. Sundar Rajan

We consider sparse superposition codes (SPARCs) over complex AWGN channels. Such codes can be efficiently decoded by an approximate message passing (AMP) decoder, whose performance can be predicted via so-called state evolution in the…

Information Theory · Computer Science 2021-03-09 Haiwen Cao , Pascal O. Vontobel

We introduce a new paradigm for finite precision iterative decoding on low-density parity-check codes over the Binary Symmetric channel. The messages take values from a finite alphabet, and unlike traditional quantized decoders which are…

Information Theory · Computer Science 2012-07-23 Shiva Kumar Planjery , David Declercq , Ludovic Danjean , Bane Vasic

The so-called improved soft-aided bit-marking algorithm was recently proposed for staircase codes (SCCs) in the context of fiber optical communications. This algorithm is known as iSABM-SCC. With the help of channel soft information, the…

Information Theory · Computer Science 2021-05-13 Yi Lei , Bin Chen , Gabriele Liga , Alex Alvarado

We show in this work that reinforcement learning can be successfully applied to decoding short to moderate length sparse graph-based channel codes. Specifically, we focus on low-density parity check (LDPC) codes, which for example have been…

Information Theory · Computer Science 2020-10-20 Salman Habib , Allison Beemer , Joerg Kliewer

In this paper, we propose a new design method of irregular spatially-coupled low-density parity-check (SC-LDPC) codes with non-uniform degree distributions by linear programming (LP). In general, irregular SC-LDPC codes with non-uniform…

Information Theory · Computer Science 2018-03-28 Heeyoul Kwak , Jong-Seon No , Hosung Park

The asymptotic iterative decoding performances of low-density parity-check (LDPC) codes using min-sum (MS) and sum-product (SP) decoding algorithms on memoryless binary-input output-symmetric (MBIOS) channels are analyzed in this paper. For…

Information Theory · Computer Science 2007-07-13 Chun-Hao Hsu , Achilleas Anastasopoulos

SC-Flip (SCF) decoding algorithm shares the attention with the common polar code decoding approaches due to its low-complexity and improved error-correction performance. However, the inefficient criterion for locating the correct…

Hardware Architecture · Computer Science 2020-07-31 Furkan Ercan , Warren J. Gross

This paper investigates the Triangle Single Parity Check (T/SPC) code, a novel class of high-rate low-complexity LDPC codes. T/SPC is a regular, soft decodable, linear-time encodable/decodable code. Compared to previous high-rate and…

Information Theory · Computer Science 2011-04-11 Damian A. Morero , Graciela Corral-Briones , Carmen Rodriguez , Mario R. Hueda
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