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In a digital communication system, information is sent from one place to another over a noisy communication channel. It may be possible to detect and correct errors that occur during the transmission if one encodes the original information…

Information Theory · Computer Science 2017-08-21 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

This paper presents an efficient algorithm for finding the dominant trapping sets of a low-density parity-check (LDPC) code. The algorithm can be used to estimate the error floor of LDPC codes or to be part of the apparatus to design LDPC…

Information Theory · Computer Science 2012-04-16 Mehdi Karimi , Amir H. Banihashemi

This work considers the design of short non-binary low-density parity-check (LDPC) codes over finite fields of order m, for channels with phase noise. In particular, m-ary differential phase-shift keying (DPSK) modulated code symbols are…

Information Theory · Computer Science 2019-08-09 Tudor Ninacs , Balázs Matuz , Gianluigi Liva , Giulio Colavolpe

Quantum low-density parity-check (QLDPC) codes with asymptotically non-zero rates are prominent candidates for achieving fault-tolerant quantum computation, primarily due to their syndrome-measurement circuit's low operational depth.…

Information Theory · Computer Science 2025-04-03 Asit Kumar Pradhan , Nithin Raveendran , Narayanan Rengaswamy , Bane Vasić

In this paper, we present an efficient algorithm to sample random sparse matrices to be used as check matrices for quantum Low-Density Parity-Check (LDPC) codes. To ease the treatment, we mainly describe our algorithm as a technique to…

Information Theory · Computer Science 2026-01-27 Paolo Santini

We investigate iterative low-resolution message-passing algorithms for quasi-cyclic LDPC codes with horizontal and vertical layered schedules. Coarse quantization and layered scheduling are highly relevant for hardware implementations to…

Information Theory · Computer Science 2022-12-19 Philipp Mohr , Gerhard Bauch

Quantum low-density parity-check (QLDPC) codes have been proven to achieve higher minimum distances at higher code rates than surface codes. However, this family of codes imposes stringent latency requirements and poor performance under…

Information Theory · Computer Science 2024-06-26 Dimitris Chytas , Nithin Raveendran , Bane Vasić

We propose regularized approximate message passing (RAMP), a low-complexity algorithm for discrete signal detection in overloaded multiple-input multiple-output (MIMO) systems where the number of transmit antennas exceeds the number of…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Shreesal Shrestha , Getuar Rexhepi , Kuranage Roche Rayan Ranasinghe , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu

In this paper, we report an encoding and decoding method for irregular-quasic-cyclic low-density parity-check (IR-QC-LDPC) codes with multi rates. The algorithm is applicable to parity-check matrices which have dual-diagonal parity…

Information Theory · Computer Science 2019-10-31 Kun Cheng , Qiming Lu , Hongbo Xie , Qi Shen , Shengkai Liao , Chengzhi Peng

Channel coding aims to minimize errors that occur during the transmission of digital information from one place to another. Low-density parity-check (LDPC) codes can detect and correct transmission errors if one encodes the original…

Information Theory · Computer Science 2018-03-14 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

This article presents a novel enhancement to the random spreading based coding scheme developed by Pradhan et al.\ for the unsourced multiple access channel. The original coding scheme features a polar outer code in conjunction with a…

Information Theory · Computer Science 2021-05-31 Asit Kumar Pradhan , Vamsi K. Amalladinne , Krishna R. Narayanan , Jean-Francois Chamberland

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

Time-varying distortions in communication systems can significantly degrade the performance of soft-decision forward error correction. This paper presents a burst-aware (BA) low-density parity-check (LDPC) decoding scheme for channels…

Signal Processing · Electrical Eng. & Systems 2026-04-09 Han Cui , Frank R. Kschischang , Magnus Karlsson , Erik Agrell

In this study, a new scheduling strategies for low-density parity-check (LDPC) codes under layered belief propagation (LBP) is designed. Based on the criteria of prioritizing the update of check nodes with lower error probabilities, we…

Information Theory · Computer Science 2025-06-17 Chenyuan Jia , Dongxu Chang , Ruiyuan Wang , Guanghui Wang , Guiying Yan , Cunquan Qu

In this paper, we describe direct-sequence code-division multiple-access (DS-CDMA) systems with quadriphase-shift keying in which channel estimation, coherent demodulation, and decoding are iteratively performed without the use of any…

Information Theory · Computer Science 2016-11-18 Don Torrieri , Amitav Mukherjee , Hyuck Kwon

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

The goal of the present paper is the derivation of a framework for the finite-length analysis of message-passing iterative decoding of low-density parity-check codes. To this end we introduce the concept of graph-cover decoding. Whereas in…

Information Theory · Computer Science 2007-07-13 Pascal O. Vontobel , Ralf Koetter

In this paper, we give necessary and sufficient conditions for low-density parity-check (LDPC) codes with column-weight three to correct three errors when decoded using hard-decision message-passing decoding. Additionally, we give necessary…

Information Theory · Computer Science 2009-09-29 Shashi Kiran Chilappagari , Anantha Raman Krishnan , Bane Vasic , Michael W. Marcellin

Downlink channel estimation with low pilot overhead is an important and challenging problem in large-scale MIMO systems due to the substantially increased MIMO channel dimension. In this letter, we propose a block iterative support…

Information Theory · Computer Science 2015-12-14 Wenqian Shen , Linglong Dai , Zhen Gao , Zhaocheng Wang

In this paper, we have investigated the application of non-binary LDPC codes to spatial multiplexing MIMO systems with a large number of low power antennas. We demonstrate that such large MIMO systems incorporating with low-complexity MMSE…

Information Theory · Computer Science 2012-03-06 Puripong Suthisopapan , Kenta Kasai , Anupap Meesomboon , Virasit Imtawil
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