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Reed-Muller Codes Polarize [PDF]

open access: yes2019 IEEE 60th Annual Symposium on Foundations of Computer Science (FOCS), 2019
Reed-Muller (RM) codes and polar codes are generated by the same matrix $G_m= \bigl[\begin{smallmatrix}1 & 0 \\ 1 & 1 \\ \end{smallmatrix}\bigr]^{\otimes m}$ but using different subset of rows. RM codes select simply rows having largest weights.
Emmanuel Abbe, Min Ye
openaire   +2 more sources

Polar codes: Encoding/decoding and rate-compatible jointly design for HARQ system

open access: yesIntelligent and Converged Networks, 2021
Polar coding are the first class of provable capacity-achieving coding techniques for a wide range of channels. With an ideal recursive structure and many elegant mathematical properties, polar codes are inherently implemented with low complexity ...
Qiaoli Zeng   +5 more
doaj   +1 more source

Modified pilot selection for channel estimation of systematic polar coded MIMO-OFDM

open access: yesICT Express, 2019
This paper proposes a modified pilot selection for channel estimation of systematic polar coded MIMO-OFDM. Polar codes provably achieve the theoretical limit for communication systems and systematic polar codes generate the codeword that has the same ...
Koya Watanabe   +5 more
doaj   +1 more source

List Decoding of Arıkan’s PAC Codes

open access: yesEntropy, 2021
Polar coding gives rise to the first explicit family of codes that provably achieve capacity with efficient encoding and decoding for a wide range of channels. However, its performance at short blocklengths under standard successive cancellation decoding
Hanwen Yao   +2 more
doaj   +1 more source

An efficient length- and rate-preserving concatenation of polar and repetition codes

open access: yes, 2013
We improve the method in \cite{Seidl:10} for increasing the finite-lengh performance of polar codes by protecting specific, less reliable symbols with simple outer repetition codes.
Huber, Johannes B., Seidl, Mathis
core   +1 more source

Polar Codes for Broadcast Channels [PDF]

open access: yesIEEE Transactions on Information Theory, 2013
Polar codes are introduced for discrete memoryless broadcast channels. For $m$-user deterministic broadcast channels, polarization is applied to map uniformly random message bits from $m$ independent messages to one codeword while satisfying broadcast constraints.
Naveen Goela   +2 more
openaire   +2 more sources

Comparison of Polar Decoders with Existing Low-Density Parity-Check and Turbo Decoders

open access: yes, 2017
Polar codes are a recently proposed family of provably capacity-achieving error-correction codes that received a lot of attention. While their theoretical properties render them interesting, their practicality compared to other types of codes has not ...
Balatsoukas-Stimming, Alexios   +2 more
core   +1 more source

Low Complexity List Decoding for Polar Codes with Multiple CRC Codes

open access: yesEntropy, 2017
Polar codes are the first family of error correcting codes that provably achieve the capacity of symmetric binary-input discrete memoryless channels with low complexity.
Jong-Hwan Kim   +3 more
doaj   +1 more source

Polar-Coded Transmission over 7.8-km Terrestrial Free-Space Optical Links

open access: yesPhotonics, 2023
Free-space optical (FSO) communications can offer high-capacity transmission owing to the properties of the laser beams. However, performance degradation caused by atmospheric turbulence is an urgent issue. Recently, the application of polar codes, which
Shingo Fujita   +8 more
doaj   +1 more source

Usage of polar codes for fixed and random length error bursts correction

open access: yesНаучно-технический вестник информационных технологий, механики и оптики
Error correction during data storage, processing, and transmission allows for ensuring data integrity. Channel coding techniques are used to counteract these errors.
A. A. Ovchinnikov
doaj   +1 more source

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