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Source polar coding is a potential solution for short blocklength-based low-latency key generation with limited sources, which is a critical aspect of six generation (6G) Internet of things. However, existing source coding schemes still…

信号处理 · 电气工程与系统科学 2025-10-07 Lulu Song , Di Zhang , Tingting Zhang

Fano-ADC is a family of ab initio methods for prediction of electronic decay widths in excited, singly- and doubly-ionized systems. It has been particularly successful in elucidating the geometry dependence of the inter-atomic decay widths…

化学物理 · 物理学 2020-06-08 Přemysl Kolorenč , Vitali Averbukh

In this work, we present hardware and software implementations of flexible polar systematic encoders and decoders. The proposed implementations operate on polar codes of any length less than a maximum and of any rate. We describe the…

信息论 · 计算机科学 2016-08-29 Gabi Sarkis , Ido Tal , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Powerful Forward Error Correction (FEC) schemes are used in optical communications to achieve bit-error rates below $10^{-15}$. These FECs follow one of two approaches: concatenation of simpler hard-decision codes or usage of inherently…

硬件体系结构 · 计算机科学 2017-09-01 Carlo Condo , Pascal Giard , François Leduc-Primeau , Gabi Sarkis , Warren J. Gross

Polar codes provably achieve the symmetric capacity of a memoryless channel while having an explicit construction. This work aims to increase the throughput of polar decoder hardware by an order of magnitude relative to the state of the art…

硬件体系结构 · 计算机科学 2015-05-20 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

This paper addresses the problem of designing LDPC decoders robust to transient errors introduced by a faulty hardware. We assume that the faulty hardware introduces errors during the message passing updates and we propose a general…

信息论 · 计算机科学 2016-11-17 Elsa Dupraz , David Declercq , Bane Vasic , Valentin Savin

Polar codes have gained extensive attention during the past few years and recently they have been selected for the next generation of wireless communications standards (5G). Successive-cancellation-based (SC-based) decoders, such as SC list…

信息论 · 计算机科学 2020-01-08 Seyyed Ali Hashemi , Carlo Condo , Marco Mondelli , Warren J. Gross

The rapidly improving performance of modern hardware renders convolutional codes obsolete, and allows for the practical implementation of more sophisticated correction codes such as low density parity check (LDPC) and turbo codes (TC). Both…

信息论 · 计算机科学 2015-03-20 Jarosław Duda , Paweł Korus

Polar codes are a new class of block codes with an explicit construction that provably achieve the capacity of various communications channels, even with the low-complexity successive-cancellation (SC) decoding algorithm. Yet, the more…

We propose a nonuniform quantized decoder for polar codes. The design metric of the quantizers is to minimize the distortion incurred by quantization. The quantizers are obtained via dynamic programming and the optimality of the quantizer…

信息论 · 计算机科学 2020-11-17 Zhiwei Cao , Hongfei Zhu , Yuping Zhao , Dou Li

With the use of belief propagation (BP) decoding algorithm, low-density parity-check (LDPC) codes can achieve near-Shannon limit performance. In order to evaluate the error performance of LDPC codes, simulators running on CPUs are commonly…

信息论 · 计算机科学 2012-07-30 Yue Zhao , Francis C. M. Lau

Polar codes are an exciting new class of error correcting codes that achieve the symmetric capacity of memoryless channels. Many decoding algorithms were developed and implemented, addressing various application requirements: from…

Polar codes are a new family of error correction codes for which efficient hardware architectures have to be defined for the encoder and the decoder. Polar codes are decoded using the successive cancellation decoding algorithm that includes…

硬件体系结构 · 计算机科学 2015-01-12 Guillaume Berhault , Camille Leroux , Christophe Jego , Dominique Dallet

Polar codes are a class of linear error correction codes which provably attain channel capacity with infinite codeword lengths. Finite length polar codes have been adopted into the 5th Generation 3GPP standard for New Radio, though their…

信息论 · 计算机科学 2019-02-07 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

Motivated by the need to communicate short control messages in 5G and beyond, this paper carefully designs codes for cyclic redundancy check (CRC)-aided list decoding of tail-biting convolutional codes (TBCCs) and polar codes. Both codes…

信息论 · 计算机科学 2023-02-16 Jacob King , Hanwen Yao , William Ryan , Richard D. Wesel

Node-based successive cancellation list (SCL) decoding has received considerable attention in wireless communications for its significant reduction in decoding latency, particularly with 5G New Radio (NR) polar codes. However, the existing…

Polar codes are high density parity check codes and hence the sparse factor graph, instead of the parity check matrix, has been used to practically represent an LP polytope for LP decoding. Although LP decoding on this polytope has the…

信息论 · 计算机科学 2014-04-30 Veeresh Taranalli , Paul H. Siegel

The inherent degeneracy of quantum low-density parity-check codes poses a challenge to their decoding, as it significantly degrades the error-correction performance of classical message-passing decoders. To improve their performance, a…

We describe a novel approach to interpret a polar code as a low-density parity-check (LDPC)-like code with an underlying sparse decoding graph. This sparse graph is based on the encoding factor graph of polar codes and is suitable for…

信息论 · 计算机科学 2018-05-15 Sebastian Cammerer , Moustafa Ebada , Ahmed Elkelesh , Stephan ten Brink

In this paper, we present a construction method of non-binary low-density parity-check (LDPC) convolutional codes. Our construction method is an extension of Felstroem and Zigangirov construction for non-binary LDPC convolutional codes. The…

信息论 · 计算机科学 2015-05-20 Hironori Uchikawa , Kenta Kasai , Kohichi Sakaniwa