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Polar codes have promising error-correction capabilities. Yet, decoding polar codes is often challenging, particularly with large blocks, with recently proposed decoders based on list-decoding or neural-decoding. The former applies multiple…

信息论 · 计算机科学 2023-02-14 Tomer Raviv , Alon Goldman , Ofek Vayner , Yair Be'ery , Nir Shlezinger

Nowadays polar codes are becoming one of the most favorable capacity achieving error correction codes for their low encoding and decoding complexity. However, due to the large code length required by practical applications, the few existing…

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

In this paper we propose an enhanced soft cancellation (SCAN) decoder for polar codes based on decoding stages permutation. The proposed soft cancellation list (SCANL) decoder runs $L$ independent SCAN decoders, each one relying on a…

信息论 · 计算机科学 2020-01-31 Charles Pillet , Carlo Condo , Valerio Bioglio

Binary linear block codes (BLBCs) are essential to modern communication, but their diverse structures often require tailor-made decoders, increasing complexity. This work introduces enhanced polar decoding ($\mathsf{PD}^+$), a universal…

信息论 · 计算机科学 2025-05-16 Chien-Ying Lin , Yu-Chih Huang , Shin-Lin Shieh , Po-Ning Chen

We derive the optimum second-order coding rates, known as second-order capacities, for erasure and list decoding. For erasure decoding for discrete memoryless channels, we show that second-order capacity is $\sqrt{V}\Phi^{-1}(\epsilon_t)$…

信息论 · 计算机科学 2014-04-22 Vincent Y. F. Tan , Pierre Moulin

We focus on the metric sorter unit of successive cancellation list decoders for polar codes, which lies on the critical path in all current hardware implementations of the decoder. We review existing metric sorter architectures and we…

硬件体系结构 · 计算机科学 2016-02-15 Alexios Balatsoukas-Stimming , Mani Bastani Parizi , Andreas Burg

Reed-Solomon (RS) codes are an important class of non-binary error-correction codes. They are particularly competent in correcting burst errors, being widely applied in modern communications and data storage systems. This also thanks to…

信息论 · 计算机科学 2026-02-02 Xiaoqian Ye , Jingyu Lin , Junjie Huang , Li Chen , Chang-An Zhao

Deep learning has enabled significant advances in feedback-based channel coding, yet existing learned schemes remain fundamentally limited: they employ fixed block lengths, suffer degraded performance at high rates, and cannot fully exploit…

信息论 · 计算机科学 2026-02-10 Yu Ding , Yulin Shao

Reed-Muller (RM) and polar codes are a class of capacity-achieving channel coding schemes with the same factor graph representation. Low-complexity decoding algorithms fall short in providing a good error-correction performance for RM and…

信息论 · 计算机科学 2018-07-12 Seyyed Ali Hashemi , Nghia Doan , Marco Mondelli , Warren J. Gross

This paper investigates the error probability of several decoding methods for a source code with decoder side information, where the decoding methods are: 1) symbol-wise maximum a posteriori decoding, 2) successive-cancellation decoding,…

信息论 · 计算机科学 2019-04-11 Jun Muramatsu

Due to the speed limitation of the conventional bit-chosen strategy in the existing weighted bit flipping algorithms, a high-speed LDPC decoder cannot be realized. To solve this problem, we propose a fast weighted bit flipping (FWBF)…

信息论 · 计算机科学 2012-06-18 Kexiang Ma , Yongzhao Li , Caizhi Zhu , Hailin Zhang , Feng Qi

A novel SC decoding method of polar codes is proposed in $d$-deletion channels, where a new pruning strategy is designed to reduce decoding complexity. Considering the difference of the scenario weight distributions, pruning thresholds for…

信息论 · 计算机科学 2024-05-22 He Sun , Rongke Liu , Bin Dai

This paper deals with two main issues regarding the short polar codes: the potential of FEC-assisted decoding and optimal code concatenation strategies under various design scenarios. Code concatenation and FEC-assisted decoding are…

信息论 · 计算机科学 2016-07-26 Mohammad Sadegh Mohammadi , Eryk Dutkiewicz , Qi Zhang

For finite length polar codes, channel polarization leaves a significant number of channels not fully polarized. Adding a Cyclic Redundancy Check (CRC) to better protect information on the semi-polarized channels has already been…

信息论 · 计算机科学 2016-11-14 A. Elkelesh , M. Ebada , S. Cammerer , S. ten Brink

The performance of short polar codes under successive cancellation (SC) and SC list (SCL) decoding is analyzed for the case where the decoder messages are coarsely quantized. This setting is of particular interest for applications requiring…

信息论 · 计算机科学 2020-09-14 Joachim Neu , Mustafa Cemil Coşkun , Gianluigi Liva

Theoretical analysis has long indicated that feedback improves the error exponent but not the capacity of single-user memoryless channels. Recently Polyanskiy et al. studied the benefit of variable-length feedback with termination (VLFT)…

信息论 · 计算机科学 2013-02-26 Tsung-Yi Chen , Adam R. Williamson , Richard D. Wesel

Polar codes have been adopted as the control channel coding scheme in the fifth generation new radio (5G NR) standard due to its capacity-achievable property. Traditional polar decoding algorithms such as successive cancellation (SC) suffer…

信号处理 · 电气工程与系统科学 2019-08-02 Zhiwei Cao , Hongfei Zhu , Yuping Zhao , Dou Li

Polar codes are one of the most recent advancements in coding theory and they have attracted significant interest. While they are provably capacity achieving over various channels, they have seen limited practical applications.…

信息论 · 计算机科学 2016-11-17 Alexios Balatsoukas-Stimming , Georgios Karakonstantis , Andreas Burg

Constrained sequence (CS) codes, including fixed-length CS codes and variable-length CS codes, have been widely used in modern wireless communication and data storage systems. Sequences encoded with constrained sequence codes satisfy…

信息论 · 计算机科学 2019-06-17 Congzhe Cao , Duanshun Li , Ivan Fair

The prevailing opinion in industry and academia is that polar codes are competitive for short code lengths, but can no longer keep up with low-density parity-check (LDPC) codes as block length increases. This view is typically based on the…

信息论 · 计算机科学 2025-08-08 Felix Krieg , Marvin Rübenacke , Andreas Zunker , Stephan ten Brink