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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…

We present a comparative study of the performance of various polar code constructions in an additive white Gaussian noise (AWGN) channel. A polar code construction is any algorithm that selects $K$ best among $N$ possible polar bit-channels…

信息论 · 计算机科学 2015-01-13 Harish Vangala , Emanuele Viterbo , Yi Hong

Finding fast polarizing transforms is an important problem as polar codes suffer from slow finitelength performance. This paper considers non binary polar codes for transmission over the AWGN channel and designs polarizing transforms with…

信息论 · 计算机科学 2019-01-31 Sinan Kahraman

This paper proposes a polar code construction scheme that reduces constituent-code supplemented decoding latency. Constituent codes are the sub-codewords with specific patterns. They are used to accelerate the successive cancellation…

信息论 · 计算机科学 2017-09-22 Tiben Che , Gwan Choi

A modification to 5G New Radio (NR) polar code is proposed, which improves the error correction performance with higher order modulation through probabilistic shaping. The presented scheme mainly re-uses existing hardware at the…

信息论 · 计算机科学 2018-08-29 Onurcan İşcan , Wen Xu

A generalization of the polar coding scheme called mixed-kernels is introduced. This generalization exploits several homogeneous kernels over alphabets of different sizes. An asymptotic analysis of the proposed scheme shows that its…

信息论 · 计算机科学 2015-03-25 Noam Presman , Ofer Shapira , Simon Litsyn

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…

信息论 · 计算机科学 2023-11-07 Mohammed Mensouri , Mustapha Eddahibi

To advance Polar code design for 6G applications, we develop a reinforcement learning-based universal sequence design framework that is extensible and adaptable to diverse channel conditions and decoding strategies. Crucially, our method…

机器学习 · 计算机科学 2026-01-29 David Kin Wai Ho , Arman Fazeli , Mohamad M. Mansour , Louay M. A. Jalloul

We propose a new polar code construction framework (i.e., selecting the frozen bit positions) for the additive white Gaussian noise (AWGN) channel, tailored to a given decoding algorithm, rather than based on the (not necessarily optimal)…

信息论 · 计算机科学 2019-01-23 Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

After the pursuit of seventy years, the invention of polar codes indicates that we have found the first capacity-achieving coding with low complexity construction and decoding, which is the great breakthrough of the coding theory in the…

信息论 · 计算机科学 2023-03-28 Kai Niu , Ping Zhang , Jincheng Dai , Zhongwei Si , Chao Dong

A reduced complexity sequential decoding algorithm for polar (sub)codes is described. The proposed approach relies on a decomposition of the polar (sub)code being decoded into a number of outer codes, and on-demand construction of codewords…

信息论 · 计算机科学 2020-07-08 Grigorii Trofimiuk , Nikolay Iakuba , Stanislav Rets , Kirill Ivanov , Peter Trifonov

A method for efficiently constructing polar codes is presented and analyzed. Although polar codes are explicitly defined, straightforward construction is intractable since the resulting polar bit-channels have an output alphabet that grows…

信息论 · 计算机科学 2013-04-11 Ido Tal , Alexander Vardy

Polar codes are constructed based on the reliability of sub-channels resulting from the polarization effect. However, this information-theoretic construction approach leads to a poor weight distribution. To address this issue,…

信息论 · 计算机科学 2025-06-19 Mohammad Rowshan , Vlad-Florin Dragoi

This paper presents a polarization-driven (PD) shortening technique for the design of rate-compatible polar codes. The proposed shortening strategy consists of reducing the generator matrix by relating its row index with the channel…

信息论 · 计算机科学 2018-08-02 R. M. Oliveira , R. C. de Lamare

The inherent nature of polar codes being channel specific makes it difficult to use them in a setting where the communication channel changes with time. In particular, to be able to use polar codes in a wireless scenario, varying…

信息论 · 计算机科学 2017-04-04 P. K. Deekshith , K. R. Sahasranand

Explicit coding schemes are proposed to achieve the rate-distortion function of the Heegard-Berger problem using polar codes. Specifically, a nested polar code construction is employed to achieve the rate-distortion function for the…

信息论 · 计算机科学 2017-10-06 Jinwen Shi , Ling Liu , Deniz Gündüz , Cong Ling

This paper presents a puncturing technique based on the channel polarization index for the design of rate-compatible polar codes in the fifth generation (5G) of wireless systems. The proposed strategy consists of two steps: we first…

信息论 · 计算机科学 2018-12-11 R. M. Oliveira , R. C. de Lamare

A method for construction of polar subcodes is presented, which aims on minimization of the number of low-weight codewords in the obtained codes, as well as on improved performance under list or sequential decoding. Simulation results are…

信息论 · 计算机科学 2017-05-04 Peter Trifonov , Grigorii Trofimiuk

Recently, Ar{\i}kan introduced the method of channel polarization on which one can construct efficient capacity-achieving codes, called polar codes, for any binary discrete memoryless channel. In the thesis, we show that decoding algorithm…

信息论 · 计算机科学 2010-02-19 Ryuhei Mori

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