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Efficient low complexity error correcting code(ECC) is considered as an effective technique for mitigation of multi-bit upset (MBU) in the configuration memory(CM)of static random access memory (SRAM) based Field Programmable Gate Array…

Hardware Architecture · Computer Science 2018-10-24 Swagata Mandal , Sreetama Sarkar , Wong Ming Ming , Anupam Chattopadhyay , Amlan Chakrabarti

We consider the concatenation of a convolutional code (CC) with an optimized cyclic redundancy check (CRC) code as a promising paradigm for good short blocklength codes. The resulting CRC-aided convolutional code naturally permits the use…

Information Theory · Computer Science 2022-02-11 Hengjie Yang , Ethan Liang , Minghao Pan , Richard Wesel

Matrix multiplication over the real field constitutes a foundational operation in the training of deep learning models, serving as a computational cornerstone for both forward and backward propagation processes. However, the presence of…

Information Theory · Computer Science 2025-08-07 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

In this work we propose a novel decoding algorithm for tailbiting convolutional codes and evaluate its performance over different channels. The proposed method consists on a fixed two-step Viterbi decoding of the received data. In the first…

Information Theory · Computer Science 2025-01-24 Jorge Ortin , Paloma Garcia , Fernando Gutierrez , Antonio Valdovinos

We present an error mitigation strategy composed of Echo Verification (EV) and Clifford Data Regression (CDR), the combination of which allows one to learn the effect of the quantum noise channel to extract error mitigated estimates for the…

Quantum Physics · Physics 2025-05-07 Tim Weaving , Alexis Ralli , Peter J. Love , Sauro Succi , Peter V. Coveney

Many different metrics exist for evaluating parsing results, including Viterbi, Crossing Brackets Rate, Zero Crossing Brackets Rate, and several others. However, most parsing algorithms, including the Viterbi algorithm, attempt to optimize…

cmp-lg · Computer Science 2008-02-03 Joshua Goodman

Neural language models process sequences of words, but the mathematical operations inside them are insensitive to the order in which words appear. Positional encodings are the component added to remedy this. Despite their importance,…

Machine Learning · Computer Science 2026-04-08 Giansalvo Cirrincione

Deep Neural Network (DNN) has achieve great success in solving a wide range of machine learning problems. Recently, they have been deployed in datacenters (potentially for business-critical or industrial applications) and safety-critical…

Hardware Architecture · Computer Science 2025-08-19 Mohsen Raji , Mohammad Zaree , Kimia Soroush

Error-control-coding (ECC) techniques are widely used in modern digital communication systems to minimize the effect of noisy channels on the quality of received signals. Motivated by the fact that both communication and imaging can be…

Image and Video Processing · Electrical Eng. & Systems 2018-09-20 Xiaopeng Wang , Zunwang Bo , Zihuai Lin , Wenlin Gong , Branka Vucetic , Shensheng Han

There is an increasing need for high density data storage devices driven by the increased demand of consumer electronics. In this work, we consider a data storage system that operates by encoding information as topographic profiles on a…

Information Theory · Computer Science 2010-06-28 Naveen Kumar , Pranav Agarwal , Aditya Ramamoorthy , Murti Salapaka

This paper applies probabilistic amplitude shaping (PAS) to a cyclic redundancy check (CRC) aided trellis coded modulation (TCM) to achieve the short-blocklength random coding union (RCU) bound. In the transmitter, the equally likely…

Information Theory · Computer Science 2021-11-18 Linfang Wang , Dan Song , Felipe Areces , Richard D. Wesel

An expurgating linear function (ELF) is a linear outer code that disallows the low-weight codewords of the inner code. ELFs can be designed either to maximize the minimum distance or to minimize the codeword error rate (CER) of the…

Information Theory · Computer Science 2023-08-02 Richard Wesel , Amaael Antonini , Linfang Wang , Wenhui Sui , Brendan Towell , Holden Grissett

Multiple Description Coding (MDC) is a promising error-resilient source coding method that is particularly suitable for dynamic networks with multiple (yet noisy and unreliable) paths. However, conventional MDC video codecs suffer from…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Xinyue Hu , Wei Ye , Jiaxiang Tang , Eman Ramadan , Zhi-Li Zhang

In this paper, we present a concatenated coding scheme for a high rate $2\times 2$ multiple-input multiple-output (MIMO) system over slow fading channels. The inner code is the Golden code \cite{Golden05} and the outer code is a trellis…

Information Theory · Computer Science 2009-09-29 Yi Hong , Emanuele Viterbo , Jean-Claude Belfiore

Visible light communication (VLC) could provide short-range optical wireless communication together with illumination using LED lighting. However, conventional forward error correction (FEC) codes for reliable communication do not have the…

Information Theory · Computer Science 2018-10-18 Junbin Fang , Zhen Che , Xiaolong Yu , Zhe Chen , Zoe L. Jiang , Siu-Ming Yiu , Kui Ren , Xiaoqing Tan

A common method of generalizing binary to multi-class classification is the error correcting code (ECC). ECCs may be optimized in a number of ways, for instance by making them orthogonal. Here we test two types of orthogonal ECCs on seven…

Machine Learning · Statistics 2023-05-18 Peter Mills

Cyclic redundancy check (CRC) codes combined with convolutional codes yield a powerful concatenated code that can be efficiently decoded using list decoding. To help design such systems, this paper presents an efficient algorithm for…

Information Theory · Computer Science 2020-05-19 Hengjie Yang , Linfang Wang , Vincent Lau , Richard D. Wesel

Decoders of quantum error correction (QEC) experiments make decisions based on detected errors and the expected rates of error events, which together comprise a detector error model. Here we show that the syndrome history of QEC experiments…

Quantum Physics · Physics 2025-10-29 Evangelia Takou , Kenneth R. Brown

In order to reduce errors, error correction codes (ECCs) need to be implemented fast. They can correct the errors corresponding to the first few orders in the Taylor expansion of the Hamiltonian of the interaction with the environment. If…

Quantum Physics · Physics 2009-11-10 Noam Erez , Yakir Aharonov , Benni Reznik , Lev Vaidman

We consider analog error-correcting codes (analog ECCs) that are designed to correct/detect outlying errors arising in analog implementations of vector-matrix multiplication. The error-correction/detection capability of an analog ECC can be…

Information Theory · Computer Science 2026-04-07 Wentu Song , Kui Cai
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