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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

Algorithms are presented that efficiently shape the parity bits of systematic irregular repeat-accumulate (IRA) low-density parity-check (LDPC) codes by following the sequential encoding order of the accumulator. Simulations over additive…

Information Theory · Computer Science 2025-08-28 Diego Lentner , Thomas Wiegart , Richard D. Wesel

One of the challenges often faced with wireless communication systems is its limited range and data-rate. Distributed Transmit Beamforming (DTB) techniques are being developed to address these two issues to provide reliable connectivity…

Signal Processing · Electrical Eng. & Systems 2018-07-18 Ismail Shakeel , Ishtiaq Ahmad , Hajime Suzuki

Adaptive modulation and coding (AMC) is widely employed in modern wireless communication systems to improve the transmission efficiency by adjusting the transmission rate according to the channel conditions. Thus, AMC can provide very…

Signal Processing · Electrical Eng. & Systems 2017-12-21 Zhe Yang , Lin Cai , Aaron Gulliver , Liang He , Jianping Pan

Low-density parity-check (LDPC) codes form part of the IRIG-106 standard and have been successfully deployed for the Telemetry Group version of shaped-offset quadrature phase shift keying (SOQPSK-TG) modulation. Recently, LDPC code…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Andrew D. Cummins , David G. M. Mitchell , Erik Perrins

Low-Density Parity-Check (LDPC) codes received much attention recently due to their capacity-approaching performance. The iterative message-passing algorithm is a widely adopted decoding algorithm for LDPC codes \cite{Kschischang01}. An…

Information Theory · Computer Science 2009-08-27 Xudong Ma , En-hui Yang

This paper presents an efficient quadratic programming (QP) decoder via the alternating direction method of multipliers (ADMM) technique, called QP-ADMM, for binary low-density parity-check (LDPC) codes. Its main contents are as follows:…

Information Theory · Computer Science 2020-02-19 Jing Bai , Yongchao Wang , Qingjiang Shi

We consider generalized low-density parity-check (GLDPC) codes with component codes that are duals of Cordaro-Wagner codes. Two efficient decoding algorithms are proposed: one based on Hartmann-Rudolph processing, analogous to Sum-Product…

Information Theory · Computer Science 2025-05-14 Dawit Simegn , Dmitry Artemasov , Kirill Andreev , Pavel Rybin , Alexey Frolov

In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes…

Information Theory · Computer Science 2024-10-30 Beomkyu Shin , Seokbeom Hong , Hosung Park , Jong-Seon No , Dong-Joon Shin

Optimal modulation (OM) schemes for Gaussian channels with peak and average power constraints are known to require nonuniform probability distributions over signal points, which presents practical challenges. An established way to map…

Information Theory · Computer Science 2022-11-01 Basak Ozaydin , Muriel Médard , Ken Duffy

Non-binary low-density parity-check codes are robust to various channel impairments. However, based on the existing decoding algorithms, the decoder implementations are expensive because of their excessive computational complexity and…

Information Theory · Computer Science 2016-11-18 Chung-Li Wang , Xiaoheng Chen , Zongwang Li , Shaohua Yang

A joint scheme for the channel coding and spectrum spreading communication system is proposed in this paper. The Bit Error Rate (BER) performance of the joint proposed scheme is evaluated and compared with the case of channel coding scheme…

Information Theory · Computer Science 2021-08-24 Hadi Khodaei Jooshin , Mahdi Nangir

A quantized message passing decoding algorithm for low-density parity-check codes is presented. The algorithm relies on the min approximation at the check nodes, and on modelling the variable node inbound messages as observations of an…

Information Theory · Computer Science 2021-01-01 Emna Ben Yacoub

Coded modulation with probabilistic amplitude shaping (PAS) is considered for intensity modulation/direct detection channels with a transmitter peak-power constraint. PAS is used to map bits to a uniform PAM-6 distribution and outperforms…

Information Theory · Computer Science 2021-04-30 Tobias Prinz , Thomas Wiegart , Daniel Plabst , Stefano Calabrò , Georg Böcherer , Nebojsa Stojanovic , Talha Rahman

Achieving high image quality is an important aspect in an increasing number of wireless multimedia applications. These applications require resource efficient error correction hardware to detect and correct errors introduced by the…

Information Theory · Computer Science 2013-08-02 Vikram Arkalgud Chandrasetty , Syed Mahfuzul Aziz

The design of low-density parity-check (LDPC) code ensembles optimized for a finite number of decoder iterations is investigated. Our approach employs EXIT chart analysis and differential evolution to design such ensembles for the binary…

Information Theory · Computer Science 2016-11-17 Ian P. Mulholland , Enrico Paolini , Mark F. Flanagan

In this paper, a practical coding scheme is designed for the binary Wyner-Ziv (WZ) problem by using nested low-density generator-matrix (LDGM) and low-density parity-check (LDPC) codes. This scheme contains two steps in the encoding…

Signal Processing · Electrical Eng. & Systems 2017-10-25 Mahdi Nangir , Mahmoud Ahmadian-Attari , Reza Asvadi

An information reconciliation method for continuous-variable quantum key distribution with Gaussian modulation that is based on non-binary low-density parity-check (LDPC) codes is presented. Sets of regular and irregular LDPC codes with…

Quantum Physics · Physics 2016-03-01 Christoph Pacher , Jesus Martinez-Mateo , Jörg Duhme , Tobias Gehring , Fabian Furrer

In this paper, we propose a new class of bit flipping algorithms for low-density parity-check (LDPC) codes over the binary symmetric channel (BSC). Compared to the regular (parallel or serial) bit flipping algorithms, the proposed…

Information Theory · Computer Science 2016-11-17 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin

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