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Research on polar codes has been constantly gaining attention over the last decade, by academia and industry alike, thanks to their capacity-achieving error-correction performance and low-complexity decoding algorithms. Recently, they have…

Information Theory · Computer Science 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

Polar codes are a class of capacity-achieving error correcting codes that have been selected for use in enhanced mobile broadband in the 3GPP 5th generation (5G) wireless standard. Most polar code research examines the original Arikan polar…

Information Theory · Computer Science 2019-07-17 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

Due to the sequential nature of the successive-cancellation (SC) algorithm, the decoding of polar codes suffers from significant decoding latencies. Fast SC decoding is able to speed up the SC decoding process, by implementing parallel…

Information Theory · Computer Science 2022-11-21 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

Polar codes have been selected as the channel coding scheme for control channel in the fifth generation (5G) communication system thanks to their capacity achieving characteristics. However, the traditional polar codes support only codes…

Information Theory · Computer Science 2023-05-16 Hossein Rezaei , Nandana Rajatheva , Matti Latva-aho

Polar codes are a class of linear block codes that provably achieves channel capacity. They have been selected as a coding scheme for the control channel of enhanced mobile broadband (eMBB) scenario for $5^{\text{th}}$ generation wireless…

Hardware Architecture · Computer Science 2020-06-04 Furkan Ercan , Thibaud Tonnellier , Carlo Condo , Warren J. Gross

The recently-discovered polar codes are seen as a major breakthrough in coding theory; they provably achieve the theoretical capacity of discrete memoryless channels using the low complexity successive cancellation (SC) decoding algorithm.…

Hardware Architecture · Computer Science 2015-03-19 Camille Leroux , Alexandre J. Raymond , Gabi Sarkis , Ido Tal , Alexander Vardy , Warren J. Gross

Polar codes are able to achieve the capacity of memoryless channels under successive cancellation (SC) decoding. Soft Cancellation (SCAN) is a soft-output decoder based on the SC schedule, useful in iterative decoding and concatenation of…

Information Theory · Computer Science 2020-04-09 Charles Pillet , Carlo Condo , Valerio Bioglio

Polar codes have been gaining a lot of interest due to it being the first coding scheme to provably achieve the symmetric capacity of a binary memoryless channel with an explicit construction. However, the main drawback of polar codes is…

Information Theory · Computer Science 2019-11-11 Heshani Gamage , Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-aho

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

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 $0.63pJ/bit$,…

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

Even though polar codes were adopted in the latest 5G cellular standard, they still have the fundamental problem of high decoding latency. Aiming at solving this problem, a fast simplified successive cancellation (Fast-SSC) decoder based on…

Information Theory · Computer Science 2020-08-20 Haotian Zheng , Alexios Balatsoukas-Stimming , Zizheng Cao , Ton Koonen

The recently-discovered polar codes are widely seen as a major breakthrough in coding theory. These codes achieve the capacity of many important channels under successive cancellation decoding. Motivated by the rapid progress in the theory…

Hardware Architecture · Computer Science 2015-03-17 Camille Leroux , Ido Tal , Alexander Vardy , Warren J. Gross

Due to the ability to provide superior error-correction performance, the successive cancellation list (SCL) algorithm is widely regarded as one of the most promising decoding algorithms for polar codes with short-to-moderate code lengths.…

Information Theory · Computer Science 2023-11-15 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

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…

A method for efficiently successive cancellation (SC) decoding of polar codes with high-dimensional linear binary kernels (HDLBK) is presented and analyzed. We devise a $l$-expressions method which can obtain simplified recursive formulas…

Information Theory · Computer Science 2017-01-18 Zhiliang Huang , Shiyi Zhang , Feiyan Zhang , Chunjiang Duanmu , Ming Chen

Polar codes are capacity achieving error correcting codes that can be decoded through the successive-cancellation algorithm. To improve its error-correction performance, a list-based version called successive-cancellation list (SCL) has…

Information Theory · Computer Science 2017-01-30 Seyyed Ali Hashemi , Carlo Condo , Warren J. Gross

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

This paper presents a hardware architecture of fast simplified successive cancellation (fast-SSC) algorithm for polar codes, which significantly reduces the decoding latency and dramatically increases the throughput. Algorithmically,…

Information Theory · Computer Science 2015-09-30 Tiben Che , Jingwei Xu , Gwan Choi

Polar codes have received growing attention in the past decade and have been selected as the coding scheme for the control channel in the fifth generation (5G) wireless communication systems. However, the conventional polar codes have only…

Information Theory · Computer Science 2023-01-26 Hossein Rezaei , Nandana Rajatheva , Matti Latva-aho

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
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