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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

High-capacity NAND flash memories use multi-level cells (MLCs) to store multiple bits per cell and achieve high storage densities. Higher densities cause increased raw bit error rates (BERs), which demand powerful error correcting codes.…

Information Theory · Computer Science 2012-02-08 Jiadong Wang , Guiqiang Dong , Tong Zhang , Richard Wesel

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

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

Low-density parity-check (LDPC) codes have been used for communication over a two-user Gaussian broadcast channel. It has been shown in the literature that the optimal decoding of such system requires joint decoding of both user messages at…

Information Theory · Computer Science 2016-11-18 Mahdi Ramezani , Masoud Ardakani

Low-density parity-check (LDPC) codes are an important feature of several communication and storage applications, offering a flexible and effective method for error correction. These codes are computationally complex and require the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-06 Oscar Ferraz , Vitor Silva , Gabriel Falcao

In this letter, we propose a two-stage design method to construct memory efficient mutual information-maximizing quantized min-sum (MIM-QMS) decoder for rate-compatible low-density parity-check (LDPC) codes. We first develop a modified…

Information Theory · Computer Science 2022-01-19 Peng Kang , Kui Cai , Xuan He , Jinhong Yuan

Low Density Parity Check (LDPC) codes are linear error correcting codes used in communication systems for Forward Error Correction (FEC). But, intensive computation is required for encoding and decoding of LDPC codes, making it difficult…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-13 Bhargav Gokalgandhi , Ivan Seskar

We solve the problem of designing powerful low-density parity-check (LDPC) codes with iterative decoding for the block-fading channel. We first study the case of maximum-likelihood decoding, and show that the design criterion is rather…

Information Theory · Computer Science 2016-11-18 Joseph J. Boutros , Albert Guillen i Fabregas , Ezio Biglieri , Gilles Zemor

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

We study the performance of nonbinary low-density parity-check (LDPC) codes over finite integer rings over two channels that arise from the Lee metric. The first channel is a discrete memory-less channel (DMC) matched to the Lee metric. The…

Information Theory · Computer Science 2022-10-19 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

This paper suggests achieving diversity gains while utilizing low-denisty parity check (LDPC) codes in molecular communications. Intersymbol interference (ISI) causes a significant disadvantage in error performance for molecular…

Signal Processing · Electrical Eng. & Systems 2024-12-06 Alpar Türkoğlu , Berk Karabacakoğlu , Ali Emre Pusane

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

For a multiple-input multiple-output (MIMO) system with unknown channel state information (CSI), a novel low-density parity check (LDPC)-coded transmission (LCT) scheme with joint pilot and data channel estimation is proposed. To fine-tune…

Information Theory · Computer Science 2023-11-14 Binghui Shi , Yongpeng Wu , Peihong Yuan , Derrick Wing Kwan Ng , Xiang-Gen Xia , Wenjun Zhang

The paper presents bounds on the achievable rates and the decoding complexity of low-density parity-check (LDPC) codes. It is assumed that the communication of these codes takes place over statistically independent parallel channels where…

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

In this paper, we propose a framework of the mutual information-maximizing (MIM) quantized decoding for low-density parity-check (LDPC) codes by using simple mappings and fixed-point additions. Our decoding method is generic in the sense…

Information Theory · Computer Science 2022-02-15 Peng Kang , Kui Cai , Xuan He , Shuangyang Li , Jinhong Yuan

Low-density parity-check (LDPC) coding for a multitude of equal-capacity channels is studied. First, based on numerous observations, a conjecture is stated that when the belief propagation decoder converges on a set of equal-capacity…

Information Theory · Computer Science 2016-11-17 Ali Sanaei , Mahdi Ramezani , Masoud Ardakani

Recent works showed how low-density parity-check (LDPC) erasure correcting codes, under maximum likelihood (ML) decoding, are capable of tightly approaching the performance of an ideal maximum-distance-separable code on the binary erasure…

Information Theory · Computer Science 2008-04-21 Enrico Paolini , Gianluigi Liva , Michela Varrella , Balazs Matuz , Marco Chiani

Low-density parity-check (LDPC) codes have been successfully commercialized in communication systems due to their strong error correction capabilities and simple decoding process. However, the error-floor phenomenon of LDPC codes, in which…

Information Theory · Computer Science 2023-10-31 Hee-Youl Kwak , Dae-Young Yun , Yongjune Kim , Sang-Hyo Kim , Jong-Seon No

Recently, low-resolution LDPC decoders have been introduced that perform mutual information maximizing signal processing. However, the optimal quantization in variable and check nodes requires expensive non-uniform operations. Instead, we…

Information Theory · Computer Science 2022-11-15 Philipp Mohr , Gerhard Bauch
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