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A novel construction of polar codes with dynamic frozen symbols is proposed. The proposed codes are subcodes of extended BCH codes, which ensure sufficiently high minimum distance. Furthermore, a decoding algorithm is proposed, which…

信息论 · 计算机科学 2013-07-12 Peter Trifonov , Vera Miloslavskaya

A hybrid automatic repeat request (HARQ) scheme based on a novel class of rate-compatible polar (\mbox{RCP}) codes are proposed. The RCP codes are constructed by performing punctures and repetitions on the conventional polar codes.…

信息论 · 计算机科学 2016-11-17 Kai Chen , Kai Niu , Jiaru Lin

Polar codes were introduced by Arikan in 2008 and are the first family of error-correcting codes achieving the symmetric capacity of an arbitrary binary-input discrete memoryless channel under low complexity encoding and using an efficient…

信息论 · 计算机科学 2013-11-11 Abdulla Eid , Iwan Duursma

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

In this paper, we first propose an universal polar coding scheme for parallel Gaussian channels with non-binary inputs. It is assumed that the encoder knows only the sum capacity of M parallel channels instead of the capacity of any single…

信息论 · 计算机科学 2022-06-03 Bin Li , Jiaqi Gu , Huazi Zhang

Polar coding, introduced 2008 by Arikan, is the first (very) efficiently encodable and decodable coding scheme whose information transmission rate provably achieves the Shannon bound for classical discrete memoryless channels in the…

量子物理 · 物理学 2012-08-17 Joseph M. Renes , Frederic Dupuis , Renato Renner

Short packets make channel learning expensive. In pilot-aided transmission (PAT), a non-negligible fraction of the packet is consumed by pilots, creating a direct pre-log loss and tightening the reliability margin needed for ultra-reliable…

信号处理 · 电气工程与系统科学 2026-02-23 Geon Choi , Namyoon Lee

Polar codes are a new class of error correcting linear block codes, whose generator matrix is specified by the knowledge of transmission channel parameters, code length and code dimension. Moreover, regarding computational security, it is…

密码学与安全 · 计算机科学 2014-01-08 Reza Hooshmand

Due to their capacity-achieving property, polar codes have become one of the most attractive channel codes. To date, the successive cancellation list (SCL) decoding algorithm is the primary approach that can guarantee outstanding…

信息论 · 计算机科学 2016-11-18 Bo Yuan , Keshab K. Parhi

A polar-coded transmission (PCT) scheme with joint channel estimation and decoding is proposed for channels with unknown channel state information (CSI). The CSI is estimated via successive cancellation (SC) decoding and the constraints…

信息论 · 计算机科学 2021-02-23 Peihong Yuan , Mustafa Cemil Coşkun , Gerhard Kramer

It is shown that polar codes achieve the symmetric capacity of discrete memoryless channels with arbitrary input alphabet sizes. It is shown that in general, channel polarization happens in several, rather than only two levels so that the…

信息论 · 计算机科学 2015-03-19 Aria G. Sahebi , S. Sandeep Pradhan

In this paper, we modify polar codes constructed with some 2^t x 2^t polarization kernels to reduce the time complexity of the window decoding. This modification is based on the permutation of the columns of the kernels. This method is…

信息论 · 计算机科学 2020-10-12 Fariba Abbasi , Emanuele Viterbo

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…

信息论 · 计算机科学 2024-08-15 Vera Miloslavskaya , Yonghui Li , Branka Vucetic

Polar codes are a class of error-correcting codes that provably achieve the capacity of practical channels under the low-complexity successive-cancellation flip (SCF) decoding algorithm. However, the SCF decoding algorithm has a variable…

信息论 · 计算机科学 2024-09-06 Ilshat Sagitov , Charles Pillet , Pascal Giard

Polar codes have gained extensive attention during the past few years and recently they have been selected for the next generation of wireless communications standards (5G). Successive-cancellation-based (SC-based) decoders, such as SC list…

信息论 · 计算机科学 2020-01-08 Seyyed Ali Hashemi , Carlo Condo , Marco Mondelli , Warren J. Gross

Polar code visibly approaches channel capacity in practice and is thereby a constituent code of the 5G standard. Compared to low-density parity-check code, however, the performance of short-length polar code has rooms for improvement that…

信息论 · 计算机科学 2022-04-26 Hsin-Po Wang , Ting-Chun Lin , Alexander Vardy , Ryan Gabrys

We consider achieving the rates in the capacity region of a multi-level 3-receiver broadcast channel, in which the second receiver is degraded with respect to the first receiver, with degraded message sets. We propose a two-level chaining…

信息论 · 计算机科学 2020-10-15 Karthik Nagarjuna Tunuguntla , Paul H. Siegel

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…

信息论 · 计算机科学 2020-08-20 Haotian Zheng , Alexios Balatsoukas-Stimming , Zizheng Cao , Ton Koonen

Achieving information-theoretic security using explicit coding scheme in which unlimited computational power for eavesdropper is assumed, is one of the main topics is security consideration. It is shown that polar codes are capacity…

A framework is proposed that allows for a joint description and optimization of both binary polar coding and $2^m$-ary digital pulse-amplitude modulation (PAM) schemes such as multilevel coding (MLC) and bit-interleaved coded modulation…

信息论 · 计算机科学 2013-02-13 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber