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Low-density parity-check (LDPC) convolutional codes have been shown to exhibit excellent performance under low-complexity belief-propagation decoding [1], [2]. This phenomenon is now termed threshold saturation via spatial coupling. The…

Information Theory · Computer Science 2013-12-30 Santhosh Kumar , Andrew J. Young , Nicolas Macris , Henry D. Pfister

Ultra-reliable low-latency communications (URLLC) demand high-performance error-correcting codes and decoders in the finite blocklength regime. This letter introduces a novel two-stage near-maximum likelihood (near-ML) decoding framework…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Yubeen Jo , Geon Choi , Yongjune Kim , Namyoon Lee

In this paper, we present a general framework of designing geometrically shaped constellations for short-packet visible light communications with a peak- and an average-intensity constraints. By leveraging tools from large deviation theory,…

Information Theory · Computer Science 2024-04-30 Jia-Ning Guo , Ru-Han Chen , Jian Zhang , Longguang Li , Xu Yang , Jing Zhou

A new construction is proposed for low density parity check (LDPC) codes using quadratic permutation polynomials over finite integer rings. The associated graphs for the new codes have both algebraic and pseudo-random nature, and the new…

Information Theory · Computer Science 2007-07-13 Oscar Y. Takeshita

Reed-Muller (RM) codes exhibit good performance under maximum-likelihood (ML) decoding due to their highly-symmetric structure. In this paper, we explore the question of whether the code symmetry of RM codes can also be exploited to achieve…

Information Theory · Computer Science 2018-04-30 Elia Santi , Christian Häger , Henry D. Pfister

Due to its attractive properties, generalized frequency division multiplexing (GFDM) is recently being discussed as a candidate waveform for the fifth generation of wireless communication systems (5G). GFDM is introduced as a generalized…

Information Theory · Computer Science 2016-04-20 Arman Farhang , Nicola Marchetti , Linda E. Doyle

In this paper, Sphere Decoding (SD) algorithms for Spatial Modulation (SM) are developed to reduce the computational complexity of Maximum-Likelihood (ML) detectors. Two SDs specifically designed for SM are proposed and analysed in terms of…

Information Theory · Computer Science 2013-05-31 Abdelhamid Younis , Sinan Sinanović , Marco Di Renzo , Raed Mesleh , Harald Haas

This work introduces a novel, fully differentiable linear-time complexity transformer decoder and a transformer decoder to correct 5G New Radio (NR) LDPC. We propose a scalable approach to decode linear block codes with $O(n)$ complexity…

Machine Learning · Computer Science 2025-01-27 Mario Hernandez , Fernando Pinero

We study Low-Density Parity-Check (LDPC) codes with iterative decoding on block-fading (BF) Relay Channels. We consider two users that employ coded cooperation, a variant of decode-and-forward with a smaller outage probability than the…

Information Theory · Computer Science 2012-10-05 Dieter Duyck , Joseph J. Boutros , Marc Moeneclaey

In this paper, we propose a partial interference cancellation (PIC) group decoding for linear dispersive space-time block codes (STBC) and a design criterion for the codes to achieve full diversity when the PIC group decoding is used at the…

Information Theory · Computer Science 2008-05-20 Xiaoyong Guo , Xiang-Gen Xia

In this paper we present a novel method for decoding multiple input - multiple output (MIMO) transmission, which combines sphere decoding (SD) and zero forcing (ZF) techniques to provide near optimal low complexity and high performance…

Information Theory · Computer Science 2008-03-03 Vadim Neder , Doron Ezri , Motti Haridim

The paper introduces new bounds on the asymptotic density of parity-check matrices and the achievable rates under ML decoding of binary linear block codes transmitted over memoryless binary-input output-symmetric channels. The lower bounds…

Information Theory · Computer Science 2007-07-13 Gil Wiechman , Igal Sason

In this paper we present an alternative separable implementation of L2-orthogonal space-time codes (STC) for continuous phase modulation (CPM). In this approach, we split the STC CPM transmitter into a single conventional CPM modulator and…

Information Theory · Computer Science 2016-11-18 Matthias Hesse , Jerome Lebrun , Lutz Lampe , Luc Deneire

In this article, the first general constructions of fast-decodable, more specifically (conditionally) $g$-group decodable, space-time block codes for the Nonorthogonal Amplify and Forward (NAF) Multiple-Input Multiple-Output (MIMO) relay…

Information Theory · Computer Science 2015-12-11 Amaro Barreal , Camilla Hollanti , Nadya Markin

Sphere decoding (SD) is a low complexity maximum likelihood (ML) detection algorithm, which has been adapted for different linear channels in digital communications. The complexity of the SD has been shown to be exponential in some cases,…

Information Theory · Computer Science 2007-07-13 Luay Azzam , Ender Ayanoglu

We propose a new class of space-time block codes based on finite-field rank-metric codes in combination with a rank-metric-preserving mapping to the set of Eisenstein integers. It is shown that these codes achieve maximum diversity order…

Information Theory · Computer Science 2017-05-30 Sven Puchinger , Sebastian Stern , Martin Bossert , Robert F. H. Fischer

A new type of spatially coupled low-density parity-check (SC-LDPC) codes motivated by practical storage applications is presented. SC-LDPCL codes (suffix 'L' stands for locality) can be decoded locally at the level of sub-blocks that are…

Information Theory · Computer Science 2020-09-29 Eshed Ram , Yuval Cassuto

Block orthogonal sparse superposition (BOSS) code is a class of joint coded modulation methods, which can closely achieve the finite-blocklength capacity with a low-complexity decoder at a few coding rates under Gaussian channels. However,…

Information Theory · Computer Science 2024-03-26 Donghwa Han , Bowhyung Lee , Min Jang , Donghun Lee , Seho Myung , Namyoon Lee

In this paper we introduce a new right preprocessing method for the decoding of 2x2 algebraic STBCs, called algebraic reduction, which exploits the multiplicative structure of the code. The principle of the new reduction is to absorb part…

Information Theory · Computer Science 2008-09-30 Laura Luzzi , Ghaya Rekaya-Ben Othman , Jean-Claude Belfiore

Generalized low-density parity-check (GLDPC) codes, where single parity-check constraints on the code bits are replaced with generalized constraints (an arbitrary linear code), are a promising class of codes for low-latency communication.…

Information Theory · Computer Science 2025-08-12 Roxana Smarandache , David G. M. Mitchell , Anthony Gómez-Fonseca