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Polar codes are a recently proposed family of provably capacity-achieving error-correction codes that received a lot of attention. While their theoretical properties render them interesting, their practicality compared to other types of…

Information Theory · Computer Science 2017-05-10 Alexios Balatsoukas-Stimming , Pascal Giard , Andreas Burg

Field Programmable Gate Array technology (FPGA) is a highly configurable option for implementing many sophisticated signal processing tasks in Software Defined Radios (SDRs). Those types of radios are realized using highly configurable…

Hardware Architecture · Computer Science 2010-07-27 Sherif Welsen Shaker , Salwa Hussien Elramly , Khaled Ali Shehata

Convolutional codes are constructed, designed and analysed using row and/or block structures of unit algebraic schemes. Infinite series of such codes and of codes with specific properties are derived. Properties are shown algebraically and…

Rings and Algebras · Mathematics 2018-04-04 Ted Hurley

Reliable communication over noisy channels requires the design of specialized error-correcting codes (ECCs) tailored to specific system requirements. Recently, neural network-based decoders have emerged as promising tools for enhancing ECC…

Information Theory · Computer Science 2025-12-01 Anastasiia Kurmukova , Selim F. Yilmaz , Emre Ozfatura , Deniz Gunduz

Future wireless communication systems require efficient and flexible baseband receivers. Meaningful efficiency metrics are key for design space exploration to quantify the algorithmic and the implementation complexity of a receiver. Most of…

Information Theory · Computer Science 2010-03-22 Frank Kienle , Norbert Wehn , Heinrich Meyr

This work proposes a general framework for the design and simulation of network on chip based turbo decoder architectures. Several parameters in the design space are investigated, namely the network topology, the parallelism degree, the…

Hardware Architecture · Computer Science 2016-11-18 Maurizio Martina , Guido Masera

This paper reviews the potential channel decoding techniques for ultra-reliable low-latency communications (URLLC). URLLC is renowned for its stringent requirements including ultra-reliability, low end-to-end transmission latency, and…

Information Theory · Computer Science 2022-12-26 Chentao Yue , Vera Miloslavskaya , Mahyar Shirvanimoghaddam , Branka Vucetic , Yonghui Li

Despite encouraging advances in the design of relay codes, several important challenges remain. Many of the existing LDPC relay codes are tightly optimized for fixed channel conditions and not easily adapted without extensive…

Information Theory · Computer Science 2016-11-18 Thuy Van Nguyen , Aria Nosratinia , Dariush Divsalar

Neural network-based decoding methods show promise in enhancing error correction performance but face challenges with punctured codes. In particular, existing methods struggle to adapt to variable code rates or meet protocol compatibility…

Machine Learning · Computer Science 2025-10-31 Yongli Yan , Linglong Dai

Long, powerful soft detection forward error correction codes are typically constructed by concatenation of shorter component codes that are decoded through iterative Soft-Input Soft-Output (SISO) procedures. The current gold-standard is Low…

Information Theory · Computer Science 2024-12-19 Sarah Khalifeh , Ken R. Duffy , Muriel Medard

We present a theory of quantum serial turbo-codes, describe their iterative decoding algorithm, and study their performances numerically on a depolarization channel. Our construction offers several advantages over quantum LDPC codes. First,…

Quantum Physics · Physics 2009-06-10 David Poulin , Jean-Pierre Tillich , Harold Ollivier

This paper propose a decoder architecture for low-density parity-check convolutional code (LDPCCC). Specifically, the LDPCCC is derived from a quasi-cyclic (QC) LDPC block code. By making use of the quasi-cyclic structure, the proposed…

Information Theory · Computer Science 2016-11-17 Chiu-Wing Sham , Xu Chen , Francis C. M. Lau , Yue Zhao , Wai M. Tam

An ensemble of LDPC convolutional codes with parity-check matrices composed of permutation matrices is considered. The convergence of the iterative belief propagation based decoder for terminated convolutional codes in the ensemble is…

Information Theory · Computer Science 2016-11-17 Michael Lentmaier , Arvind Sridharan , Kamil Sh. Zigangirov , Daniel J. Costello

Coding theory is a central discipline underpinning wireline and wireless modems that are the workhorses of the information age. Progress in coding theory is largely driven by individual human ingenuity with sporadic breakthroughs over the…

Machine Learning · Statistics 2018-05-24 Hyeji Kim , Yihan Jiang , Ranvir Rana , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

In this paper we present regular bilayer LDPC convolutional codes for half-duplex relay channels. For the binary erasure relay channel, we prove that the proposed code construction achieves the capacities for the source-relay link and the…

Information Theory · Computer Science 2011-02-28 Zhongwei Si , Ragnar Thobaben , Mikael Skoglund

This paper explores the design of convolutional codes for varying constraint lengths, focusing on their role in error correction in digital communication systems. Convolutional codes are essential in achieving reliable data transmission…

Information Theory · Computer Science 2024-10-03 Parag Dhounde , Avinash Bhute

In this paper, a novel decoding algorithm for low-density parity-check (LDPC) codes based on convex optimization is presented. The decoding algorithm, called interior point decoding, is designed for linear vector channels. The linear vector…

Information Theory · Computer Science 2009-11-13 Tadashi Wadayama

We consider a windowed decoding scheme for LDPC convolutional codes that is based on the belief-propagation (BP) algorithm. We discuss the advantages of this decoding scheme and identify certain characteristics of LDPC convolutional code…

Information Theory · Computer Science 2016-11-17 Aravind Iyengar , Marco Papaleo , Paul Siegel , Jack Wolf , Alessandro Vanelli-Coralli , Giovanni Corazza

For high throughput applications, turbo-like iterative decoders are implemented with parallel architectures. However, to be efficient parallel architectures require to avoid collision accesses i.e. concurrent read/write accesses should not…

Hardware Architecture · Computer Science 2010-02-23 Cyrille Chavet , Philippe Coussy , Eric Martin , Pascal Urard

The receiver design for multi-input multi-output (MIMO) ultra-reliable and low-latency communication (URLLC) systems can be a tough task due to the use of short channel codes and few pilot symbols. Consequently, error propagation can occur…

Signal Processing · Electrical Eng. & Systems 2024-04-12 Yi Sun , Hong Shen , Bingqing Li , Wei Xu , Pengcheng Zhu , Nan Hu , Chunming Zhao