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This paper is devoted to the finite-length analysis of turbo decoding over the binary erasure channel (BEC). The performance of iterative belief-propagation (BP) decoding of low-density parity-check (LDPC) codes over the BEC can be…

Information Theory · Computer Science 2011-05-31 Eirik Rosnes , Øyvind Ytrehus

In this paper, we introduce a neural-augmented decoder for Turbo codes called TINYTURBO . TINYTURBO has complexity comparable to the classical max-log-MAP algorithm but has much better reliability than the max-log-MAP baseline and performs…

Information Theory · Computer Science 2022-10-03 S Ashwin Hebbar , Rajesh K Mishra , Sravan Kumar Ankireddy , Ashok V Makkuva , Hyeji Kim , Pramod Viswanath

Designs and methods for nested lattice codes using Construction D' lattices for coding and convolutional code lattices for shaping are described. Two encoding methods and a decoding algorithm for Construction D' coding lattices that can be…

Information Theory · Computer Science 2022-01-03 Fan Zhou , Brian M. Kurkoski

Dirty paper coding (DPC) refers to methods for pre-subtraction of known interference at the transmitter of a multiuser communication system. There are numerous applications for DPC, including coding for broadcast channels. Recently,…

Information Theory · Computer Science 2010-01-21 G Shilpa , Andrew Thangaraj , Srikrishna Bhashyam

Polar codes are the first class of capacity-achieving forward error correction (FEC) codes. They have been selected as one of the coding schemes for the 5G communication systems due to their excellent error correction performance when…

Signal Processing · Electrical Eng. & Systems 2019-05-23 ChenYang Xia , YouZhe Fan , Chi-ying Tsui

We propose several improvements for Linear Programming (LP) decoding algorithms for High Density Parity Check (HDPC) codes. First, we use the automorphism groups of a code to create parity check matrix diversity and to generate valid cuts…

Information Theory · Computer Science 2016-11-18 Alex Yufit , Asi Lifshitz , Yair Be'ery

This paper addresses the construction of observable convolutional codes that exhibit good performance with the available decoding algorithms for erasure channels. Our construction is based on the use of input/state/output (I/S/O)…

Information Theory · Computer Science 2024-12-03 Noemí DeCastro-García , Miguel V. Carriegos , Ángel Luis Muñoz Castañeda

This paper considers the problem of code design for a channel where communications and radar systems coexist, modeled as having both Additive White Gaussian Noise (AWGN) and Additive Radar Interference (ARI). The issue of how to adapt or…

Information Theory · Computer Science 2019-04-12 Federico Brunero , Daniela Tuninetti , Natasha Devroye

The conventional theory of linear network coding (LNC) is only over acyclic networks. Convolutional network coding (CNC) applies to all networks. It is also a form of LNC, but the linearity is w.r.t. the ring of rational power series rather…

Information Theory · Computer Science 2016-09-26 Qifu Tyler Sun , Shuo-Yen Robert Li

The joint design of input constellation and low-density parity-check (LDPC) codes to approach the symmetric capacity of the two-user Gaussian multiple access channel is studied. More specifically, multilevel coding is employed at each user…

Information Theory · Computer Science 2019-05-02 Alexios Balatsoukas-Stimming , Stefano Rini , Joerg Kliewer

A Viterbi-like decoding algorithm is proposed in this paper for generalized convolutional network error correction coding. Different from classical Viterbi algorithm, our decoding algorithm is based on minimum error weight rather than the…

Information Theory · Computer Science 2019-02-12 Hengjie Yang , Wangmei Guo

This paper provides a comprehensive survey on recent advances in deep learning (DL) techniques for the channel coding problems. Inspired by the recent successes of DL in a variety of research domains, its applications to the physical layer…

Information Theory · Computer Science 2026-02-06 Toshiki Matsumine , Hideki Ochiai

In this paper, we consider joint network and LDPC coding for practically implementing the denosie-and-forward protocol over bi-directional relaying. the closed-form expressions for computing the log-likelihood ratios of the network-coded…

Information Theory · Computer Science 2011-05-13 Xiaofu Wu , Weijun Zeng , Chunming Zhao , Xiaohu You

We consider a time division duplex (TDD) $n_t \times n_r$ multiple-input multiple-output (MIMO) system with channel state information (CSI) at both the transmitter and receiver. We propose X- and Y-Codes to achieve high multiplexing and…

Information Theory · Computer Science 2009-12-11 Saif Khan Mohammed , Emanuele Viterbo , Yi Hong , Ananthanarayanan Chockalingam

We discuss and analyze a list-message-passing decoder with verification for low-density parity-check (LDPC) codes on the q-ary symmetric channel (q-SC). Rather than passing messages consisting of symbol probabilities, this decoder passes…

Information Theory · Computer Science 2015-03-13 Fan Zhang , Henry D. Pfister

Transformer and its variants have shown great potential for various vision tasks in recent years, including image classification, object detection and segmentation. Meanwhile, recent studies also reveal that with proper architecture design,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Xinghao Chen , Siwei Li , Yijing Yang , Yunhe Wang

Several types of AL-FEC (Application-Level FEC) codes for the Packet Erasure Channel exist. Random Linear Codes (RLC), where redundancy packets consist of random linear combinations of source packets over a certain finite field, are a…

Information Theory · Computer Science 2014-08-26 Kazuhisa Matsuzono , Vincent Roca , Hitoshi Asaeda

The need for a high-performance transceiver with high Signal to Noise Ratio (SNR) has driven the communication system to utilize the latest technique identified as oversampling systems. It was the most economical modulator and decimation in…

Signal Processing · Electrical Eng. & Systems 2018-07-30 Rozita Teymourzadeh , Yazan Samir Algnabi , Masuri Othman , Md Shabiul Islam , Mok Vee Hong

In this paper, we design a deep learning-based convolutional autoencoder for channel coding and modulation. The objective is to develop an adaptive scheme capable of operating at various signal-to-noise ratios (SNR)s without the need for…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Ahmad Abdel-Qader , Anas Chaaban , Mohamed S. Shehata

In this article we extend the idea of Turbo codes onto the Real Field. The channel is taken to result in block erasures and the only noise as being that due to quantization. The decoding in this case is reduced to reconstruction of the lost…

Combinatorics · Mathematics 2007-05-23 Animesh Datta
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