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In this paper, the design of irregular turbo codes for the binary erasure channel is investigated. An analytic expression of the erasure probability of punctured recursive systematic convolutional codes is derived. This exact expression…

Information Theory · Computer Science 2008-04-04 Ghassan M. Kraidy , Valentin Savin

An iterative algorithm is presented for soft-input-soft-output (SISO) decoding of Reed-Solomon (RS) codes. The proposed iterative algorithm uses the sum product algorithm (SPA) in conjunction with a binary parity check matrix of the RS…

Information Theory · Computer Science 2009-09-29 Jing Jiang , Krishna R. Narayanan

Confocal microscopy of colloids combined with digital image processing has become a powerful tool in soft matter physics and materials science. Together, these techniques enable locating and tracking of more than half a million individual…

Soft Condensed Matter · Physics 2016-05-10 Katharine E. Jensen , Nobutomo Nakamura

We study low-complexity iterative decoding algorithms for product codes. We revisit two algorithms recently proposed by the authors based on bounded distance decoding (BDD) of the component codes that improve the performance of conventional…

Information Theory · Computer Science 2018-06-29 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Christian Häger , Henry D. Pfister

We introduce a decoding framework for correlated errors in quantum LDPC codes under circuit-level noise. The core of our approach is a graph augmentation and rewiring for interference (GARI) method, which modifies the correlated detector…

Quantum Physics · Physics 2026-03-26 Arshpreet Singh Maan , Francisco-Garcia Herrero , Alexandru Paler , Valentin Savin

Power line communication continues to draw increasing interest by promising a wide range of applications including cost-free last-mile communication solution. However, signal transmitted through the power lines deteriorates badly due to the…

Information Theory · Computer Science 2015-03-13 Kai Xie , Jing , Li

This paper presents an iterative geometric mean decomposition (IGMD) algorithm for multiple-input-multiple-output (MIMO) wireless communications. In contrast to the existing GMD algorithms, the proposed IGMD does not require the explicit…

Information Theory · Computer Science 2013-11-05 Chiao-En Chen , Chia-Hsiang Yang

In the process of parametric optical image amplification, images are formed at new frequencies in addition to the amplified original image. We show that the parametric multiplexing of optical images can be used to produce an image with…

Quantum Physics · Physics 2019-03-27 D. A. Balakin , A. S. Chirkin

The rapid growth of digital data has heightened the demand for efficient lossless compression methods. However, existing algorithms exhibit trade-offs: some achieve high compression ratios, others excel in encoding or decoding speed, and…

Information Theory · Computer Science 2025-10-01 Md. Atiqur Rahman , MM Fazle Rabbi

We propose new sequential sorting operations by adapting techniques and methods used for designing parallel sorting algorithms. Although the norm is to parallelize a sequential algorithm to improve performance, we adapt a contrarian…

Data Structures and Algorithms · Computer Science 2016-09-01 Alexandros V Gerbessiotis

Image codecs are typically optimized to trade-off bitrate \vs distortion metrics. At low bitrates, this leads to compression artefacts which are easily perceptible, even when training with perceptual or adversarial losses. To improve image…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Marlène Careil , Matthew J. Muckley , Jakob Verbeek , Stéphane Lathuilière

The goal of this paper is to develop a novel numerical method for efficient multiplicative noise removal. The nonlocal self-similarity of natural images implies that the matrices formed by their nonlocal similar patches are low-rank. By…

Optimization and Control · Mathematics 2020-02-19 Xiaoxia Liu , Jian Lu , Lixin Shen , Chen Xu , Yuesheng Xu

We consider some iterative methods for finding the best interpolation data in the images compression with noise. The interpolation data consists of the set of pixels and their grey/color values. The aim in the iterative approach is to allow…

Analysis of PDEs · Mathematics 2022-09-30 Zakaria Belhachmi , Thomas Jacumin

Many satellite communication systems operating today employ low cost upconverters or downconverters which create phase noise. This noise can severely limit the information rate of the system and pose a serious challenge for the detection…

Information Theory · Computer Science 2012-10-19 Shachar Shayovitz , Dan Raphaeli

We enhance coarsely quantized LDPC decoding by reusing computed check node messages from previous iterations. Typically, variable and check nodes update and replace old messages every iteration. We show that, under coarse quantization,…

Information Theory · Computer Science 2025-01-22 Philipp Mohr , Gerhard Bauch

An iterative method is derived for image reconstruction. Among other attributes, this method allows constraints unrelated to the radiation measurements to be incorporated into the reconstructed image. A comparison is made with the widely…

Computational Physics · Physics 2011-01-06 Clinton DeW. Van Siclen

In this article we focus on the problem of channel decoding in presence of a-priori information. In particular, assuming that the a-priori information reliability is not perfectly estimated at the receiver, we derive a novel analytical…

Information Theory · Computer Science 2007-11-14 Andrea Abrardo

This paper considers iterative detection and decoding on the concatenated communication channel consisting of a two-dimensional magnetic recording (TDMR) channel modeled by the four-grain rectangular discrete grain model (DGM) proposed by…

Information Theory · Computer Science 2014-01-24 Jiyang Yu , Michael Carosino , Krishnamoorthy Sivakumar , Benjamin J. Belzer , Yiming Chen

Assuming that we have a soft-decision list decoding algorithm of a linear code, a new hard-decision list decoding algorithm of its repeated code is proposed in this article. Although repeated codes are not used for encoding data, due to…

Information Theory · Computer Science 2024-05-01 Fernando Hernando , Michael O'Sullivan , Diego Ruano

We introduce and analyse an efficient decoder for the quantum Tanner codes of that can correct adversarial errors of linear weight. Previous decoders for quantum low-density parity-check codes could only handle adversarial errors of weight…

Quantum Physics · Physics 2022-10-26 Anthony Leverrier , Gilles Zémor