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Successive cancellation list (SCL) decoding enables polar codes and their generalizations to deliver satisfactory performance in finite-length scenarios but it comes with high latency and complexity. To reduce latency, a partitioned SCL…

信息论 · 计算机科学 2024-11-26 Xinyuanmeng Yao , Xiao Ma

As improved versions of successive cancellation (SC) decoding algorithm, successive cancellation list (SCL) decoding and successive cancellation stack (SCS) decoding are used to improve the finite-length performance of polar codes. Unified…

信息论 · 计算机科学 2016-11-15 Kai Chen , Kai Niu , Jia-Ru Lin

Polar codes have been gaining a lot of interest due to it being the first coding scheme to provably achieve the symmetric capacity of a binary memoryless channel with an explicit construction. However, the main drawback of polar codes is…

信息论 · 计算机科学 2019-11-11 Heshani Gamage , Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-aho

A new permutation decoding approach for polar codes is presented. The complexity of the algorithm is similar to that of a successive cancellation list (SCL) decoder, while it can be implemented with the latency of a successive cancellation…

信息论 · 计算机科学 2019-01-18 Mikhail Kamenev , Yulia Kameneva , Oleg Kurmaev , Alexey Maevskiy

We propose a low complexity list successive cancellation (LCLSC) decoding algorithm to reduce complexity of traditional list successive cancellation (LSC) decoding of polar codes while trying to maintain the LSC decoding performance at the…

信息论 · 计算机科学 2013-09-13 Congzhe Cao , Zesong Fei , Jinhong Yuan , Jingming Kuang

A reduced complexity sequential decoding algorithm for polar (sub)codes is described. The proposed approach relies on a decomposition of the polar (sub)code being decoded into a number of outer codes, and on-demand construction of codewords…

信息论 · 计算机科学 2020-07-08 Grigorii Trofimiuk , Nikolay Iakuba , Stanislav Rets , Kirill Ivanov , Peter Trifonov

This paper investigates universal polar coding schemes. In particular, a notion of ordering (called convolutional path) is introduced between probability distributions to determine when a polar compression (or communication) scheme designed…

信息论 · 计算机科学 2010-12-03 Emmanuel Abbe

Research on polar codes has been constantly gaining attention over the last decade, by academia and industry alike, thanks to their capacity-achieving error-correction performance and low-complexity decoding algorithms. Recently, they have…

信息论 · 计算机科学 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

Long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. But for polar codes with short and moderate code length, the decoding…

信息论 · 计算机科学 2016-11-18 Jun Lin , Chenrong Xiong , Zhiyuan Yan

We exploit the redundancy of the language-based source to help polar decoding. By judging the validity of decoded words in the decoded sequence with the help of a dictionary, the polar list decoder constantly detects erroneous paths after…

信息论 · 计算机科学 2020-07-24 Ying Wang , Minghai Qin , Krishna R. Narayanan , Anxiao Jiang , Zvonimir Bandic

The recently proposed SCLF decoding algorithm for polar codes improves the error-correcting performance of state-of-the-art SCL decoding. However, it comes at the cost of a higher complexity. In this paper, partitioned polar codes tailored…

信息论 · 计算机科学 2026-05-12 Charles Pillet , Ilshat Sagitov , Pascal Giard

In this paper, we introduce a novel class of pre-transformed polar codes, termed as deep polar codes. We first present a deep polar encoder that harnesses a series of multi-layered polar transformations with varying sizes. Our approach to…

信息论 · 计算机科学 2023-08-08 Geon Choi , Namyoon Lee

We consider lossy source compression of a binary symmetric source using polar codes and the low-complexity successive encoding algorithm. It was recently shown by Arikan that polar codes achieve the capacity of arbitrary symmetric…

信息论 · 计算机科学 2009-03-03 Satish Babu Korada , Rudiger Urbanke

Polar codes have attracted a lot of attention during past few years and have been adopted as a coding scheme for 5G standard. Successive-cancellation list (SCL) decoder provides high level error-correction performance for polar codes, but…

信息论 · 计算机科学 2019-04-25 Liang Ma , Hang Li , Yuejun Wei

Polar codes are the first class of structured channel codes that achieve the symmetric capacity of binary channels with efficient encoding and decoding. In 2019, Arikan proposed a new polar coding scheme referred to as polarization-adjusted…

信息论 · 计算机科学 2024-01-30 Hamid Saber , Homayoon Hatami , Jung Hyun Bae

A method for efficiently successive cancellation (SC) decoding of polar codes with high-dimensional linear binary kernels (HDLBK) is presented and analyzed. We devise a $l$-expressions method which can obtain simplified recursive formulas…

信息论 · 计算机科学 2017-01-18 Zhiliang Huang , Shiyi Zhang , Feiyan Zhang , Chunjiang Duanmu , Ming Chen

As a new joint source-channel coding scheme, the double polar (D-Polar) codes have been proposed recently. In this letter, a novel joint source-channel decoder, namely the joint successive cancellation list (J-SCL) decoder, is proposed to…

信息论 · 计算机科学 2022-01-11 Yanfei Dong , Kai Niu , Jincheng Dai , Sen Wang , Yifei Yuan

Polar codes are of great interests because they provably achieve the capacity of both discrete and continuous memoryless channels while having an explicit construction. Most existing decoding algorithms of polar codes are based on bit-wise…

信息论 · 计算机科学 2016-01-20 Chenrong Xiong , Jun Lin , Zhiyuan Yan

A deep-learning-aided successive-cancellation list (DL-SCL) decoding algorithm for polar codes is introduced with deep-learning-aided successive-cancellation (DL-SC) decoding being a specific case of it. The DL-SCL decoder works by allowing…

信息论 · 计算机科学 2019-12-04 Seyyed Ali Hashemi , Nghia Doan , Thibaud Tonnellier , Warren J. Gross

Polar codes are capacity achieving error correcting codes that can be decoded through the successive-cancellation algorithm. To improve its error-correction performance, a list-based version called successive-cancellation list (SCL) has…

信息论 · 计算机科学 2017-01-30 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross
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