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Convolutional precoding in polarization-adjusted convolutional (PAC) codes is a recently introduced variant of polar codes. It has demonstrated an effective reduction in the number of minimum weight codewords (a.k.a error coefficient) of…

信息论 · 计算机科学 2024-06-05 Xinyi Gu , Mohammad Rowshan , Jinhong Yuan

In this paper, two decoding algorithms based on Successive Cancellation (SC) are proposed to improve the error-correction performance of cyclic redundancy check (CRC)-aided polar codes while aiming for a low-complexity implementation.…

信息论 · 计算机科学 2025-04-17 Charles Pillet , Ilshat Sagitov , Dominic Deslandes , Pascal Giard

Due to their provably capacity-achieving performance, polar codes have attracted a lot of research interest recently. For a good error-correcting performance, list successive-cancellation decoding (LSCD) with large list size is used to…

信息论 · 计算机科学 2018-07-02 YouZhe Fan , ChenYang Xia , Ji Chen , Chi-Ying Tsui , Jie Jin , Hui Shen , Bin Li

Polar codes have become one of the most favorable capacity achieving error correction codes (ECC) along with their simple encoding method. However, among the very few prior successive cancellation (SC) polar decoder designs, the required…

硬件体系结构 · 计算机科学 2011-11-04 Chuan Zhang , Bo Yuan , Keshab K. Parhi

A modification to 5G New Radio (NR) polar code is proposed, which improves the error correction performance with higher order modulation through probabilistic shaping. The presented scheme mainly re-uses existing hardware at the…

信息论 · 计算机科学 2018-08-29 Onurcan İşcan , Wen Xu

Due to their capacity-achieving property, polar codes have become one of the most attractive channel codes. To date, the successive cancellation list (SCL) decoding algorithm is the primary approach that can guarantee outstanding…

信息论 · 计算机科学 2016-11-18 Bo Yuan , Keshab K. Parhi

This work presents an efficient ASIC implementation of successive cancellation (SC) decoder for polar codes. SC is a low-complexity depth-first search decoding algorithm, favorable for beyond-5G applications that require extremely high…

硬件体系结构 · 计算机科学 2020-09-22 Altuğ Süral , E. Göksu Sezer , Ertuğrul Kolağasıoğlu , Veerle Derudder , Kaoutar Bertrand

In this paper, we propose a comprehensive Polar coding solution that integrates reliability calculation, rate matching and parity-check coding. Judging a channel coding design from the industry's viewpoint, there are two primary concerns:…

信息论 · 计算机科学 2018-01-12 Huazi Zhang , Rong Li , Jian Wang , Shengchen Dai , Gongzheng Zhang , Ying Chen , Hejia Luo , Jun Wang

CA-Polar codes have been selected for all control channel communications in 5G NR, but accurate, computationally feasible decoders are still subject to development. Here we report the performance of a recently proposed class of optimally…

信息论 · 计算机科学 2021-02-22 Ken Duffy , Amit Solomon , Kishori M. Konwar , Muriel Medard

A successive cancellation list (SCL) decoder with limited list size for polar codes can not be analyzed as a successive cancellation (SC) decoder, nor as a maximum likelihood (ML) decoder, due to the complicated decoding errors caused by…

信息论 · 计算机科学 2019-03-25 Tao Wang , Daiming Qu , Tao Jiang

Polar codes have attracted much recent attention as the first codes with low computational complexity that provably achieve optimal rate-regions for a large class of information-theoretic problems. One significant drawback, however, is that…

信息论 · 计算机科学 2010-01-15 Mayank Bakshi , Sidharth Jaggi , Michelle Effros

For polar codes with short-to-medium code length, list successive cancellation decoding is used to achieve a good error-correcting performance. However, list pruning in the current list decoding is based on the sorting strategy and its…

硬件体系结构 · 计算机科学 2015-11-30 YouZhe Fan , Ji Chen , ChenYang Xia , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

Polarization-adjusted convolutional (PAC) codes are special concatenated codes in which we employ a one-to-one convolutional transform as a precoding step before the polar transform. In this scheme, the polar transform (as a mapper) and the…

信息论 · 计算机科学 2021-03-24 Mohammad Rowshan , Emanuele Viterbo

As the first kind of forward error correction (FEC) codes that achieve channel capacity, polar codes have attracted much research interest recently. Compared with other popular FEC codes, polar codes decoded by list successive cancellation…

信号处理 · 电气工程与系统科学 2018-07-02 ChenYang Xia , Ji Chen , YouZhe Fan , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

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

A pruned variant of polar coding is reinvented for all binary erasure channels. For small $\varepsilon>0$, we construct codes with block length $\varepsilon^{-5}$, code rate $\text{Capacity}-\varepsilon$, error probability $\varepsilon$,…

信息论 · 计算机科学 2018-12-20 Hsin-Po Wang , Iwan Duursma

Sorting operation is one of the main bottlenecks for the successive-cancellation list (SCL) decoding. This paper introduces an improvement to the SCL decoding for polar and pre-transformed polar codes that reduces the number of sorting…

信息论 · 计算机科学 2022-07-26 Mohsen Moradi , Amir Mozammel

This paper first presents a new approach to evaluating the descriptive complexity of finite-length binary sequences. Specifically, we investigate the sequence-wise recovery behavior induced by polar compression and successive cancellation…

信息论 · 计算机科学 2026-05-15 Xinyuanmeng Yao , Xiao Ma

Targeting high-throughput and low-power communications, we implement two successive cancellation (SC) decoders for polar codes. With $16nm$ ASIC technology, the area efficiency and energy efficiency are $4Tbps/mm^2$ and $0.63pJ/bit$,…

信息论 · 计算机科学 2021-07-20 Jiajie Tong , Xianbin Wang , Qifan Zhang , Huazi Zhang , Rong Li , Jun Wang , Wen Tong

While constructing polar codes for successive-cancellation decoding can be implemented efficiently by sorting the bit-channels, finding optimal polar codes for cyclic-redundancy-check-aided successive-cancellation list (CA-SCL) decoding in…

信息论 · 计算机科学 2023-05-16 Yun Liao , Seyyed Ali Hashemi , Hengjie Yang , John M. Cioffi