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Polar codes represent one of the major recent breakthroughs in coding theory and, because of their attractive features, they have been selected for the incoming 5G standard. As such, a lot of attention has been devoted to the development of…

Information Theory · Computer Science 2017-08-31 Seyyed Ali Hashemi , Marco Mondelli , S. Hamed Hassani , Rudiger Urbanke , Warren J. Gross

Ultra-reliable low latency communication (URLLC) is a key part of 5G wireless systems. Achieving low latency necessitates codes with short blocklengths for which polar codes with successive cancellation list (SCL) decoding typically…

Hardware Architecture · Computer Science 2025-12-22 Darja Nonaca , Jérémy Guichemerre , Reinhard Wiesmayr , Nihat Engin Tunali , Christoph Studer

This work presents a high throughput and energy efficient multicore (MC) successive cancellation (SC) decoder architecture for polar codes. SC is a low-complexity decoding algorithm with a set of sequential operations. The sequential…

Hardware Architecture · Computer Science 2021-08-30 Altuğ Süral , Ertuğrul Kolağasıoğlu

Long polar codes can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. However, for polar codes with short and moderate code length,…

Hardware Architecture · Computer Science 2014-11-18 Jun Lin , Zhiyuan Yan

Fast SC decoding overcomes the latency caused by the serial nature of the SC decoding by identifying new nodes in the upper levels of the SC decoding tree and implementing their fast parallel decoders. In this work, we first present a novel…

Polar codes are a channel coding scheme for the next generation of wireless communications standard (5G). The belief propagation (BP) decoder allows for parallel decoding of polar codes, making it suitable for high throughput applications.…

Information Theory · Computer Science 2018-07-02 Nghia Doan , Seyyed Ali Hashemi , Marco Mondelli , Warren J. Gross

Flexibility is one mandatory aspect of channel coding in modern wireless communication systems. Among other things, the channel decoder has to support several code lengths and code rates. This need for flexibility applies to polar codes…

Information Theory · Computer Science 2017-10-24 Mathieu Léonardon , Adrien Cassagne , Camille Leroux , Christophe Jégo , Louis-Philippe Hamelin , Yvon Savaria

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…

Signal Processing · Electrical Eng. & Systems 2019-05-03 ChenYang Xia , YouZhe Fan , Chi-Ying Tsui

In theory, Polar codes do not exhibit an error floor under successive-cancellation (SC) decoding. In practice, frame error rate (FER) down to $10^{-12}$ has not been reported with a real SC list (SCL) decoder hardware. This paper presents…

Information Theory · Computer Science 2019-04-05 Jiajie Tong , Huazi Zhang , Lingchen Huang , Xiaocheng Liu , Jun Wang

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

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…

Hardware Architecture · Computer Science 2011-11-04 Chuan Zhang , Bo Yuan , Keshab K. Parhi

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

Polar codes are the first class of forward error correction (FEC) codes with a provably capacity-achieving capability. Using list successive cancellation decoding (LSCD) with a large list size, the error correction performance of polar…

Signal Processing · Electrical Eng. & Systems 2018-05-09 ChenYang Xia , YouZhe Fan , Ji Chen , Chi-ying Tsui , ChongYang Zeng , Jie Jin , Bin Li

Polar codes, discovered by Ar{\i}kan, are the first error-correcting codes with an explicit construction to provably achieve channel capacity, asymptotically. However, their error-correction performance at finite lengths tends to be lower…

Information Theory · Computer Science 2015-06-16 Alexandre J. Raymond , Warren J. Gross

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

We present a hardware architecture and algorithmic improvements for list SC decoding of polar codes. More specifically, we show how to completely avoid copying of the likelihoods, which is algorithmically the most cumbersome part of list SC…

Information Theory · Computer Science 2014-02-28 A. Balatsoukas-Stimming , A. J. Raymond , W. J. Gross , A. Burg

Polar codes have received increasing attention in the past decade, and have been selected for the next generation of wireless communication standard. Most research on polar codes has focused on codes constructed from a $2\times2$…

Hardware Architecture · Computer Science 2018-02-05 Gabriele Coppolino , Carlo Condo , Guido Masera , Warren J. Gross

In this letter, we propose parallel SC (Successive Cancellation) decoder and parallel SC-List decoder for polar codes. The parallel decoder is composed of M=2^m(m>=1) component decoders working in parallel and each component decoder decodes…

Information Theory · Computer Science 2013-09-05 Bin Li , Hui Shen , David Tse

In this work, we present hardware and software implementations of flexible polar systematic encoders and decoders. The proposed implementations operate on polar codes of any length less than a maximum and of any rate. We describe the…

Information Theory · Computer Science 2016-08-29 Gabi Sarkis , Ido Tal , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

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