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In this paper, by treating Reed-Muller (RM) codes as a special class of low-density parity-check (LDPC) codes and assuming that sub-blocks of the parity-check matrix are randomly interleaved to each other as Gallager's codes, we present a…

信息论 · 计算机科学 2025-04-24 Xiao Ma

The recent work of Sommer, Feder and Shalvi presented a new family of codes called low density lattice codes (LDLC) that can be decoded efficiently and approach the capacity of the AWGN channel. A linear time iterative decoding scheme which…

信息论 · 计算机科学 2010-03-23 Danny Bickson , Alexander T. Ihler , Danny Dolev

High-performance learned image compression codecs require flexible probability models to fit latent representations. Gaussian Mixture Models (GMMs) were proposed to satisfy this demand, but suffer from a significant runtime performance…

图像与视频处理 · 电气工程与系统科学 2025-09-24 Shimon Murai , Fangzheng Lin , Jiro Katto

We study the problem of lossy joint source-channel coding in a single-user energy harvesting communication system with causal energy arrivals and the energy storage unit may have leakage. In particular, we investigate the achievable…

信息论 · 计算机科学 2015-08-20 Meysam Shahrbaf Motlagh , Masoud Badiei Khuzani , Patrick Mitran

In this paper, we consider a few iterative decoding schemes for the joint source-channel coding of correlated sources. Specifically, we consider the joint source-channel coding of two erasure correlated sources with transmission over…

信息论 · 计算机科学 2009-10-08 Arvind Yedla , Henry D. Pfister , Krishna R. Narayanan

This paper deals with rate distortion or source coding with fidelity criterion, in measure spaces, for a class of source distributions. The class of source distributions is described by a relative entropy constraint set between the true and…

信息论 · 计算机科学 2013-05-07 Farzad Rezaei , Charalambos D. Charalambous , Photios A. Stavrou

The demand for flexible broadband wireless services makes the pruning technique, including both shortening and puncturing, an indispensable component of error correcting codes. The analysis of the pruning process for structured lowdensity…

信号处理 · 电气工程与系统科学 2020-03-26 Yuejun Wei , Yuhang Yang , Ming Jiang , Wen Chen , Lili Wei

Typical performance of low-density parity-check (LDPC) codes over a general binary-input output-symmetric memoryless channel is investigated using methods of statistical mechanics. Theoretical framework for dealing with general symmetric…

无序系统与神经网络 · 物理学 2009-11-07 Toshiyuki Tanaka , David Saad

Perception-aware lossy source coding has attracted significant recent interest. It augments the classical distortion criterion with an explicit perception constraint, thereby enabling more refined control over fidelity and perceptual…

信息论 · 计算机科学 2026-04-22 Ali Hussein , Jun Chen , Chao Tian , S. Sandeep Pradhan

This paper examines the construction of low-density parity-check (LDPC) codes from transversal designs based on sets of mutually orthogonal Latin squares (MOLS). By transferring the concept of configurations in combinatorial designs to the…

信息论 · 计算机科学 2018-07-03 Alexander Gruner , Michael Huber

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…

信息论 · 计算机科学 2016-11-17 Ali Sanaei , Mahdi Ramezani , Masoud Ardakani

This paper investigates the general distributed lossless/lossy source coding formulated by Jana and Blahut. Their multi-letter rate-distortion region, an alternative to the region derived by Yang and Qin, is characterized by entropy…

信息论 · 计算机科学 2024-07-08 Jun Muramatsu

The performance of maximum-likelihood (ML) decoding on the binary erasure channel for finite-length low-density parity-check (LDPC) codes from two random ensembles is studied. The theoretical average spectrum of the Gallager ensemble is…

信息论 · 计算机科学 2018-11-21 Irina E. Bocharova , Boris D. Kudryashov , Vitaly Skachek , Eirik Rosnes , Øyvind Ytrehus

This paper is concerned with the design of capacity approaching ensembles of Low-Densiy Parity-Check (LDPC) codes for correlated sources. We consider correlated binary sources where the data is encoded independently at each source through a…

信息论 · 计算机科学 2017-01-30 Mohamad Khas Mohamadi , Hamid Saeedi , Reza Asvadi

In this paper, we propose a physical-layer rateless code for wireless channels. A novel rateless encoding scheme is developed to overcome the high error floor problem caused by the low-density generator matrix (LDGM)-like encoding scheme in…

信息论 · 计算机科学 2013-06-25 Shuang Tian , Yonghui Li , Mahyar Shirvanimoghaddam , Branka Vucetic

We propose non-binary LDPC codes concatenated with multiplicative repetition codes. By multiplicatively repeating the (2,3)-regular non-binary LDPC mother code of rate 1/3, we construct rate-compatible codes of lower rates 1/6, 1/9,…

信息论 · 计算机科学 2011-07-14 Kenta Kasai , David Declercq , Charly Poulliat , Kohichi Sakaniwa

This paper investigates the design of self-connected spatially coupled low-density parity-check (SC-LDPC) codes. First, a termination method is proposed to reduce rate loss. Particularly, a single-side open SC-LDPC ensemble is introduced,…

信息论 · 计算机科学 2023-07-03 Yihuan Liao , Min Qiu , Jinhong Yuan

The performance of low-density parity-check (LDPC) codes at high signal-to-noise ratios (SNRs) is known to be limited by the presence of certain sub-graphs that exist in the Tanner graph representation of the code, for example trapping sets…

信息论 · 计算机科学 2019-11-11 Homayoon Hatami , David G. M. Mitchell , Daniel J. Costello , Thomas E. Fuja

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…

信息论 · 计算机科学 2007-07-13 Gil Wiechman , Igal Sason

Rate-distortion optimization through neural networks has accomplished competitive results in compression efficiency and image quality. This learning-based approach seeks to minimize the compromise between compression rate and reconstructed…

计算机视觉与模式识别 · 计算机科学 2024-06-11 Raül Pérez-Gonzalo , Andreas Espersen , Antonio Agudo