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Polar codes are a class of linear error correction codes which provably attain channel capacity with infinite codeword lengths. Finite length polar codes have been adopted into the 5th Generation 3GPP standard for New Radio, though their…

信息论 · 计算机科学 2019-02-07 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

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…

信息论 · 计算机科学 2023-01-26 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…

硬件体系结构 · 计算机科学 2020-06-04 Furkan Ercan , Thibaud Tonnellier , Carlo Condo , Warren J. Gross

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…

信息论 · 计算机科学 2023-05-16 Hossein Rezaei , Nandana Rajatheva , Matti Latva-aho

Polar codes are constructed for arbitrary channels by imposing an arbitrary quasigroup structure on the input alphabet. Just as with "usual" polar codes, the block error probability under successive cancellation decoding is…

信息论 · 计算机科学 2016-06-16 Rajai Nasser , Emre Telatar

Polar codes are capacity-achieving error-correcting codes with an explicit construction that can be decoded with low-complexity algorithms. In this work, we show how the state-of-the-art low-complexity decoding algorithm can be improved to…

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…

信息论 · 计算机科学 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

Arikan's polar codes are capable of achieving the Shannon's capacity at a low encoding and decoding complexity, while inherently supporting rate adaptation. By virtue of these attractive features, polar codes have provided fierce…

The problem of polar coding for an arbitrary sequence of independent binary-input memoryless symmetric (BMS) channels $\left\{W_i\right\}_{i=1}^{N}$ is considered. The sequence of channels is assumed to be completely known to both the…

信息论 · 计算机科学 2020-08-27 Hessam Mahdavifar

Polar codes, invented by Arikan in 2009, are known to achieve the capacity of any binary-input memoryless output-symmetric channel. One of the few drawbacks of the original polar code construction is that it is not universal. This means…

信息论 · 计算机科学 2013-12-16 S. Hamed Hassani , Rudiger Urbanke

Polar encoding, described by Arikan in IEEE Transactions on Information Theory, Vol. 55, No. 7, July 2009, was a milestone for telecommunications. A Polar code distributes information among high and low-capacity channels, showing the…

信息论 · 计算机科学 2025-07-29 Geraldo A. Barbosa

Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

信息论 · 计算机科学 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross

Polar codes are the latest breakthrough in coding theory, as they are the first family of codes with explicit construction that provably achieve the symmetric capacity of discrete memoryless channels. Ar{\i}kan's polar encoder and…

信息论 · 计算机科学 2017-03-01 Mostafa El-Khamy , Hessam Mahdavifar , Gennady Feygin , Jungwon Lee , Inyup Kang

In this paper, we propose a new polar code construction by employing kernels of different sizes in the Kronecker product of the transformation matrix, thus generalizing the original construction by Arikan. The proposed multi-kernel polar…

信息论 · 计算机科学 2020-01-15 Valerio Bioglio , Frederic Gabry , Ingmar Land , Jean-Claude Belfiore

In this paper, we propose a data-driven algorithm to design rate- and length-flexible polar codes. While the algorithm is very general, a particularly appealing use case is the design of codes for automorphism ensemble decoding (AED), a…

信息论 · 计算机科学 2025-10-08 Marvin Rübenacke , Andreas Zunker , Felix Krieg , Stephan ten Brink

Constructing efficient low-rate error-correcting codes with low-complexity encoding and decoding have become increasingly important for applications involving ultra-low-power devices such as Internet-of-Things (IoT) networks. To this end,…

信息论 · 计算机科学 2020-11-02 Fariba Abbasi , Hessam Mahdavifar , Emanuele Viterbo

This paper presents our low-latency Polar code encoders and decoders developed for the 2025 International Symposium on Topics in Coding (ISTC 2025) contest, which challenges participants to implement the fastest possible channel code…

网络与互联网体系结构 · 计算机科学 2025-07-08 Mathieu Leonardon , Mohammed El Houcine Ayoubi , Adrien Cassagne , Romain Tajan , Camille Leroux

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…

信息论 · 计算机科学 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 $2\times2$…

硬件体系结构 · 计算机科学 2018-02-05 Gabriele Coppolino , Carlo Condo , Guido Masera , Warren J. Gross

Recently, a new class of error-control codes, the polar codes, have attracted much attention. The polar codes are the first known class of capacity-achieving codes for many important communication channels. In addition, polar codes have…

信息论 · 计算机科学 2012-11-19 Xudong Ma
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