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Much progress has been made on decoding algorithms for error-correcting codes in the last decade. In this article, we give an introduction to some fundamental results on iterative, message-passing algorithms for low-density parity check…

Information Theory · Computer Science 2007-07-16 Venkatesan Guruswami

The new 5G communications standard increases data rates and supports low-latency communication that places constraints on the computational complexity of channel decoders. 5G low-density parity-check (LDPC) codes have the so-called…

Signal Processing · Electrical Eng. & Systems 2019-12-05 Maximilian Stark , Linfang Wang , Richard D. Wesel , Gerhard Bauch

In this paper, the spectral efficiency of permutation modulation-based multiple input multiple output (MIMO) visible light communication is improved using systematically designed, multiweight codeword matrices. Soft-decision, low-complexity…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Oluwafemi Kolade , Ling Cheng

In this paper, we present a low-complexity algorithm for detection in high-rate, non-orthogonal space-time block coded (STBC) large-MIMO systems that achieve high spectral efficiencies of the order of tens of bps/Hz. We also present a…

Information Theory · Computer Science 2015-05-13 Saif K. Mohammed , Ahmed Zaki , A. Chockalingam , B. Sundar Rajan

This paper considers the optimization of multi-edge type low-density parity-check (METLDPC) codes to maximize the decoding threshold. We propose an algorithm to jointly optimize the node degree distribution and the multi-edge structure of…

Information Theory · Computer Science 2016-05-17 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Sarah J. Johnson

In this letter, we propose an iterative soft interference cancellation scheme for intra-cluster (ICL) and out-of-cluster (OCL) interference mitigation in user-centric clustered cell-free massive multiple-antenna networks. We propose a…

Information Theory · Computer Science 2024-12-17 T. Ssettumba , S. Mashdour , L. Landau , P. da Silva , R. C. de Lamare

The power consumption of the integrated circuit is becoming a significant burden, particularly for large-scale signal processing tasks requiring high throughput. The decoding process of LDPC codes is such a heavy signal processing task that…

Information Theory · Computer Science 2023-03-30 Tadashi Wadayama , Kensho Nakajima , Ayano Nakai-Kasai

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, a simple, general-purpose and effective tool for the design of low-density parity-check (LDPC) codes for iterative correction of bursts of erasures is presented. The design method consists in starting from the parity-check…

Information Theory · Computer Science 2008-10-08 E. Paolini , M. Chiani

A protograph-based low-density parity-check (LDPC) code design technique for bandwidth-efficient coded modulation is presented. The approach jointly optimizes the LDPC code node degrees and the mapping of the coded bits to the…

Information Theory · Computer Science 2015-04-15 Fabian Steiner , Georg Böcherer , Gianluigi Liva

Protograph low-density-parity-check (LDPC) are considered to design near-capacity low-rate codes over the binary erasure channel (BEC) and binary additive white Gaussian noise (BIAWGN) channel. For protographs with degree-one variable nodes…

Information Theory · Computer Science 2018-05-03 Asit Kumar Pradhan , Andrew Thangaraj

The theoretic results of MIMO capacity tell us that the higher the number of antennas are employed, the higher the transmission rate is. This makes MIMO systems with hundreds of antennas very attractive but one of the major problems that…

Information Theory · Computer Science 2012-04-19 Puripong Suthisopapan , Anupap Meesomboon , Kenta Kasai , Virasit Imtawil

Product codes (PCs) and staircase codes (SCCs) are conventionally decoded based on bounded distance decoding (BDD) of the component codes and iterating between row and column decoders. The performance of iterative BDD (iBDD) can be improved…

Information Theory · Computer Science 2021-09-08 Alireza Sheikh , Alexandre Graell i Amat , Alex Alvarado

Based on the extended binary image of non-binary LDPC codes, we propose a method for generating extra redundant bits, such as to decreases the coding rate of a mother code. The proposed method allows for using the same decoder, regardless…

Information Theory · Computer Science 2011-03-15 Lam Pham Sy , Valentin Savin , David Declercq

In the search for highly efficient decoders for short LDPC codes approaching maximum likelihood performance, a relayed decoding strategy, specifically activating the ordered statistics decoding process upon failure of a neural min-sum…

Information Theory · Computer Science 2024-03-26 Guangwen Li , Xiao Yu

Recently introduced Fair-Density Parity-Check (FDPC) codes, targeting high-rate applications, offer superior error-correction performance (ECP) compared to 5G Low-Density Parity-Check (LDPC) codes, given the same number of message-passing…

Information Theory · Computer Science 2025-06-16 Mohsen Moradi , Sheida Rabeti , Hessam Mahdavifar

Low decoding latency and complexity are two important requirements of channel codes used in many applications, like machine-to-machine communications. In this paper, we show how these requirements can be fulfilled by using some special…

Information Theory · Computer Science 2018-09-14 Massimo Battaglioni , Alireza Tasdighi , Marco Baldi , Mohammad H. Tadayon , Franco Chiaraluce

We propose a novel optimization-based decoding algorithm for LDPC-coded massive MIMO channels. The proposed decoding algorithm is based on a proximal gradient method for solving an approximate maximum a posteriori (MAP) decoding problem.…

Information Theory · Computer Science 2021-02-11 Tadashi Wadayama , Satoshi Takabe

Multiple reads of the same Flash memory cell with distinct word-line voltages provide enhanced precision for LDPC decoding. In this paper, the word-line voltages are optimized by maximizing the mutual information (MI) of the quantized…

Information Theory · Computer Science 2014-02-20 Jiadong Wang , Kasra Vakilinia , Tsung-Yi Chen , Thomas Courtade , Guiqiang Dong , Tong Zhang , Hari Shankar , Richard Wesel

We propose an efficient encoding algorithm for the binary and non-binary low-density parity-check codes. This algorithm transforms the parity part of the parity-check matrix into a block triangular matrix with low weight diagonal…

Information Theory · Computer Science 2021-03-03 Yuta Iketo , Takayuki Nozaki