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Spatially coupled, parallel concatenated codes (SC-PCCs) have been shown to approach channel capacity when decoded using optimal iterative methods. However, under complexity constraints such decoding strategies can result in unacceptable…

Information Theory · Computer Science 2021-09-07 Andrew D. Cummins , David G. M. Mitchell , Daniel J. Costello,

In this paper, we investigate a coupled polar code architecture that supports both local and global decoding. This local-global construction is motivated by practical applications in data storage and transmission where reduced-latency…

Information Theory · Computer Science 2023-01-09 Ziyuan Zhu , Wei Wu , Paul H. Siegel

Polar codes are newly discovered capacity-achieving codes, which have attracted lots of research efforts. Polar codes can be efficiently decoded by the low-complexity successive cancelation (SC) algorithm and the SC list (SCL) decoding…

Information Theory · Computer Science 2016-11-17 Jun Lin , Chenrong Xiong , Zhiyuan Yan

Polar codes is promising because they can provably achieve the channel capacity while having an explicit construction method. Lots of work have been done for the bit-based decoding algorithm for polar codes. In this paper, generalized…

Information Theory · Computer Science 2016-11-15 Chenrong Xiong , Jun Lin , Zhiyuan Yan

ABS polar codes were recently proposed to speed up polarization by swapping certain pairs of adjacent bits after each layer of polar transform. In this paper, we observe that applying the Arikan transform $(U_i, U_{i+1}) \mapsto…

Information Theory · Computer Science 2023-11-13 Guodong Li , Min Ye , Sihuang Hu

In this paper, we introduce a new coding and decoding structure for enhancing the reliability and performance of polar codes, specifically at low error rates. We achieve this by concatenating two polar codes in series to create robust…

Information Theory · Computer Science 2023-11-07 Mohammed Mensouri , Mustapha Eddahibi

This paper proposes an enhanced list-aided successive cancellation stack (ELSCS) decoding algorithm with adjustable decoding complexity. In addition, a logarithmic likelihood ratio (LLR)-threshold based path extension scheme is designed to…

Information Theory · Computer Science 2019-12-18 Haotian Zheng , Bin Chen , Luis F. Abanto-Leon , Zizheng Cao , Ton Koonen

Concatenating the state-of-the-art codes at moderate rates with repetition codes has emerged as a practical solution deployed in various standards for ultra-low-power devices such as in Internet-of-Things (IoT) networks. In this paper, we…

Information Theory · Computer Science 2022-03-24 Fariba Abbasi , Hessam Mahdavifar , Emanuele Viterbo

New algorithms for efficient decoding of polar codes (which may be CRC-augmented), transmitted over either a binary erasure channel (BEC) or an additive white Gaussian noise channel (AWGNC), are presented. We start by presenting a new…

Information Theory · Computer Science 2021-07-14 Yonatan Urman , Guy Mogilevsky , David Burshtein

Polar codes were introduced in 2009 and proven to achieve the symmetric capacity of any binary-input discrete memoryless channel under low-complexity successive cancellation decoding. In this thesis, we construct cyclic polar codes based on…

Information Theory · Computer Science 2020-04-16 Narayanan Rengaswamy

Due to the low-latency and high-reliability requirements of 5G, low-complexity node-based successive cancellation list (SCL) decoding has received considerable attention for use in 5G communications systems. By identifying special…

Information Theory · Computer Science 2022-12-21 Yuqing Ren , Andreas Toftegaard Kristensen , Yifei Shen , Alexios Balatsoukas-Stimming , Chuan Zhang , Andreas Burg

In this work, we investigate the performance of polar codes with the assistance of feedback in communication systems. Although it is well known that feedback does not improve the capacity of memoryless channels, we show that the finite…

Information Theory · Computer Science 2026-04-13 Ling Liu , Qi Cao , Liping Li , Baoming Bai

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…

Information Theory · Computer Science 2016-11-18 Jun Lin , Chenrong Xiong , Zhiyuan Yan

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:…

Information Theory · Computer Science 2018-01-12 Huazi Zhang , Rong Li , Jian Wang , Shengchen Dai , Gongzheng Zhang , Ying Chen , Hejia Luo , Jun Wang

A new algorithm for efficient exact maximum likelihood decoding of polar codes (which may be CRC augmented), transmitted over the binary erasure channel, is presented. The algorithm applies a matrix triangulation process on a sparse polar…

Information Theory · Computer Science 2021-06-29 Yonatan Urman , David Burshtein

In digital baseband processing, the forward error correction (FEC) unit belongs to the most demanding components in terms of computational complexity and power consumption. Hence, efficient implementation of FEC decoders is crucial for next…

Information Theory · Computer Science 2024-06-04 Claus Kestel , Lucas Johannsen , Norbert Wehn

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.…

Information Theory · Computer Science 2025-04-17 Charles Pillet , Ilshat Sagitov , Dominic Deslandes , Pascal Giard

Polar codes are a class of capacity achieving error correcting codes that has been recently selected for the next generation of wireless communication standards (5G). Polar code decoding algorithms have evolved in various directions,…

Information Theory · Computer Science 2017-10-16 Furkan Ercan , Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

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…

Information Theory · Computer Science 2016-11-18 Bo Yuan , Keshab K. Parhi

In this work, a novel data-driven methodology for designing polar codes for channels with and without memory is proposed. The methodology is suitable for the case where the channel is given as a "black-box" and the designer has access to…

Information Theory · Computer Science 2023-09-07 Ziv Aharoni , Bashar Huleihel , Henry D. Pfister , Haim H. Permuter