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Polar codes have attracted the attention of numerous researchers in the past decade due to their excellent performance. However, their performance at short block lengths under standard successive cancellation decoding is far from desirable.…

Information Theory · Computer Science 2023-07-13 Wei Zhang

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…

Information Theory · Computer Science 2023-12-25 Andreas Zunker , Marvin Geiselhart , Lucas Johannsen , Claus Kestel , Stephan ten Brink , Timo Vogt , Norbert Wehn

Non-binary polar codes (NBPCs) decoded by successive cancellation (SC) algorithm have remarkable bit-error-rate performance compared to the binary polar codes (BPCs). Due to the serial nature, SC decoding suffers from large latency. The…

Information Theory · Computer Science 2024-01-17 Ali Farsiabi , Hamid Ebrahimzad , Masoud Ardakani , Chuandong Li

We survey the known list decoding algorithms for polar codes and compare their complexity. Index terms: Polar codes; Reed-Muller codes; successive cancellation decoding.

Information Theory · Computer Science 2017-03-20 Ilya Dumer

This work identifies information-theoretic quantities that are closely related to the required list size on average for successive cancellation list (SCL) decoding to implement maximum-likelihood decoding over general binary memoryless…

Information Theory · Computer Science 2022-04-04 Mustafa Cemil Coşkun , Henry D. Pfister

This paper formulates the polar-code construction problem for the successive-cancellation list (SCL) decoder as a maze-traversing game, which can be solved by reinforcement learning techniques. The proposed method provides a novel technique…

Information Theory · Computer Science 2020-09-22 Yun Liao , Seyyed Ali Hashemi , John Cioffi , Andrea Goldsmith

Node-based successive cancellation list (SCL) decoding has received considerable attention in wireless communications for its significant reduction in decoding latency, particularly with 5G New Radio (NR) polar codes. However, the existing…

Hardware Architecture · Computer Science 2024-08-09 Yuqing Ren , Leyu Zhang , Ludovic Damien Blanc , Yifei Shen , Xinwei Li , Alexios Balatsoukas-Stimming , Chuan Zhang , Andreas Burg

This paper focuses on the frozen set design for precoded polar codes decoded by the successive cancellation list (SCL) algorithm. We propose a novel frozen set design method, whose computational complexity is low due to the use of…

Information Theory · Computer Science 2024-08-15 Vera Miloslavskaya , Yonghui Li , Branka Vucetic

Since its invention, polar code has received a lot of attention because of its capacity-achieving performance and low encoding and decoding complexity. Successive cancellation decoding (SCD) and belief propagation decoding (BPD) are two of…

Information Theory · Computer Science 2015-08-26 Syed Mohsin Abbas , YouZhe Fan , Ji Chen , Chi-Ying Tsui

In successive cancellation (SC) polar decoding, an incorrect estimate of any prior unfrozen bit may bring about severe error propagation in the following decoding, thus it is desirable to find out and correct an error as early as possible.…

Information Theory · Computer Science 2017-12-12 Zhaoyang Zhang , Kangjian Qin , Liang Zhang , Huazi Zhang , Guo Tai Chen

Polar codes are of great interest since they are the first provably capacity-achieving forward error correction codes. To improve throughput and to reduce decoding latency of polar decoders, maximum likelihood (ML) decoding units are used…

Information Theory · Computer Science 2015-10-27 Chenrong Xiong , Jun Lin , Zhiyuan Yan

Successive-cancellation list (SCL) decoding of polar codes has been adopted for 5G. However, the performance is not very satisfactory with moderate code length. Heuristic or deep-learning-aided (DL-aided) flip algorithms have been developed…

Information Theory · Computer Science 2021-06-25 Yaoyu Tao , Zhengya Zhang

In this paper, we design a polar decoding platform for diverse application scenarios that require low-cost and low-power communications. Specifically, prevalent polar decoders such as successive cancellation (SC), SC-list (SCL) and Fano…

Information Theory · Computer Science 2021-07-20 Jiajie Tong , Qifan Zhang , Huazi Zhang , Rong Li , Jun Wang , Wen Tong

In this paper, we propose a decision-aided scheme for parallel SC-List decoding of polar codes. At the parallel SC-List decoder, each survival path is extended based on multiple information bits, therefore the number of split paths becomes…

Information Theory · Computer Science 2015-06-10 Bin Li , Hui Shen , Kai Chen

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…

Information Theory · Computer Science 2025-08-08 Felix Krieg , Marvin Rübenacke , Andreas Zunker , Stephan ten Brink

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…

Signal Processing · Electrical Eng. & Systems 2018-07-02 ChenYang Xia , Ji Chen , YouZhe Fan , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

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…

Information Theory · Computer Science 2018-07-02 YouZhe Fan , ChenYang Xia , Ji Chen , Chi-Ying Tsui , Jie Jin , Hui Shen , Bin Li

Polar codes are the first error-correcting code proven to achieve channel capacity based on infinite code length. The Successive Cancellation List Flip (SCLF) decoding algorithm was proposed by flipping an erroneous bit during the next…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Fu-Siang Liang , Shan Lu , Yeong-Luh Ueng

In this paper, we propose a method to obtain the optimal metric function at each depth of the polarization tree through a process we call polarization of the metric function. This polarization process generates an optimal metric at…

Information Theory · Computer Science 2025-09-08 Mohsen Moradi , Hessam Mahdavifar

The so-called fast polar decoding schedules are meant to improve the decoding speed of the sequential-natured successive cancellation list decoders. The decoding speedup is achieved by replacing various parts of the serial decoding process…

Information Theory · Computer Science 2024-06-21 Syed Aizaz Ali Shah , Gerhard Bauch