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Polar codes achieve outstanding error correction performance when using successive cancellation list (SCL) decoding with cyclic redundancy check. A larger list size brings better decoding performance and is essential for practical…

信号处理 · 电气工程与系统科学 2019-05-03 ChenYang Xia , YouZhe Fan , Chi-Ying Tsui

Convolutional precoding in polarization-adjusted convolutional (PAC) codes can reduce the number of minimum weight codewords (a.k.a error coefficient) of polar codes. This can result in improving the error correction performance of (near)…

信息论 · 计算机科学 2022-12-02 Xinyi Gu , Mohammad Rowshan , Jinhong Yuan

Channel polarization, originally proposed for binary-input channels, is generalized to arbitrary discrete memoryless channels. Specifically, it is shown that when the input alphabet size is a prime number, a similar construction to that for…

信息论 · 计算机科学 2009-08-04 Eren Sasoglu , Emre Telatar , Erdal Arikan

Polar coding is a recently proposed coding technique that can provably achieve the channel capacity. The polar code structure, which is based on the original 2x2 generator matrix, polarises the channels, i.e., a portion of the channel…

信息论 · 计算机科学 2019-01-08 Berksan Serbetci , Ali Emre Pusane

Polar codes are a recently proposed family of provably capacity-achieving error-correction codes that received a lot of attention. While their theoretical properties render them interesting, their practicality compared to other types of…

信息论 · 计算机科学 2017-05-10 Alexios Balatsoukas-Stimming , Pascal Giard , Andreas Burg

We propose a novel scheme for rate-compatible arbitrary-length polar code construction for the additive white Gaussian noise (AWGN) channel. The proposed scheme is based on the concept of non-uniform channel polarization. The original polar…

信息论 · 计算机科学 2021-03-23 R. M. Oliveira , R. C. de Lamare

In this paper, we propose new coupled codes constructed by overlapping circular spatially-coupled low-density parity-check (SC-LDPC) codes, which show better asymptotic and finite-length decoding performance compared to the conventional…

信息论 · 计算机科学 2018-03-28 Heeyoul Kwak , Bohwan Jun , Pilwoong Yang , Jong-Seon No , Dong-Joon Shin

Polar codes are a class of capacity-achieving codes for the binary-input discrete memoryless channels (B-DMCs). However, when applied in channels with intersymbol interference (ISI), the codes may perform poorly with BCJR equalization and…

信息论 · 计算机科学 2014-04-14 Runxin Wang , Rongke Liu , Yi Hou

Arikan's Polar codes attracted much attention as the first efficiently decodable and capacity achieving codes. Furthermore, Polar codes exhibit an exponentially decreasing block error probability with an asymptotic error exponent upper…

信息论 · 计算机科学 2017-04-04 Andrew James Ferris , Christoph Hirche , David Poulin

In the conventional successive cancellation (SC) decoder for polar codes, all the future bits to be estimated later are treated as random variables. However, polar codes inevitably involve frozen bits, and their concatenated coding schemes…

信息论 · 计算机科学 2023-09-19 Min Jang , Jong-Hwan Kim , Seho Myung , Kyeongcheol Yang

We develop a one-out-of-two oblivious transfer protocol over the binary-input additive white Gaussian noise (BI-AWGN) channel using polar codes. The scheme uses two decoder views linked by automorphisms of the polar transform and publicly…

信息论 · 计算机科学 2026-02-13 Pin-Hsun Lin , Hadi Aghaee , Christian Deppe , Eduard A. Jorswieck , Holger Boche

Polar codes are a class of channel capacity achieving codes that has been selected for the next generation of wireless communication standards. Successive-cancellation (SC) is the first proposed decoding algorithm, suffering from mediocre…

信息论 · 计算机科学 2018-10-09 Furkan Ercan , Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

The problem of communication over binary dirty paper (DP) using nested polar codes is considered. An improved scheme, focusing on low delay, short to moderate blocklength communication is proposed. Successive cancellation list (SCL)…

信息论 · 计算机科学 2019-04-05 Barak Beilin , David Burshtein

Permutation decoding gained recent interest as it can exploit the symmetries of a code in a parallel fashion. Moreover, it has been shown that by viewing permuted polar codes as polar subcodes, the set of usable permutations in permutation…

信息论 · 计算机科学 2022-05-16 Marvin Geiselhart , Ahmed Elkelesh , Jannis Clausius , Stephan ten Brink

A modified successive cancellation list (SCL) decoder is proposed for polar-coded probabilistic shaping. The decoder exploits the deterministic encoding rule for shaping bits to rule out candidate code words that the encoder would not…

信息论 · 计算机科学 2023-10-25 Constantin Runge , Thomas Wiegart , Diego Lentner

The polar codes are proven to be capacity-achieving and are shown to have equivalent or even better finite-length performance than the turbo/LDPC codes under some improved decoding algorithms over the additive white Gaussian noise (AWGN)…

信息论 · 计算机科学 2014-05-20 Kai Chen , Kai Niu , Jiaru Lin

A scheme for concatenating the recently invented polar codes with non-binary MDS codes, as Reed-Solomon codes, is considered. By concatenating binary polar codes with interleaved Reed-Solomon codes, we prove that the proposed concatenation…

信息论 · 计算机科学 2016-11-17 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

Monotone chain polar codes generalize classical polar codes to multivariate settings, offering a flexible approach for achieving the entire admissible rate region in the distributed lossless coding problem. However, this flexibility also…

信息论 · 计算机科学 2025-09-04 Zichang Ren , Chunhang Zheng , Dou Li , Yuping Zhao

Row-merged polar codes are a family of pre-transformed polar codes (PTPCs) with little precoding overhead. Providing an improved distance spectrum over plain polar codes, they are capable to perform close to the finite-length capacity…

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