Arikan meets Shannon: Polar codes with near-optimal convergence to channel capacity

V Guruswami, A Riazanov, M Ye - Proceedings of the 52nd Annual ACM …, 2020 - dl.acm.org
… of related works on polar codes, we begin with some context and background on the
phenomenon of channel polarization that lies at the heart of Arıkan’s polar coding approach. …

Finite-length scaling for polar codes

SH Hassani, K Alishahi… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
… (by the polar coding scheme) to transmit information. If we require this sum to be smaller than
… The main objective of this paper is to characterize similar types of relations for polar codes

A golden decade of polar codes: From basic principle to 5G applications

K Niu, P Zhang, J Dai, Z Si, C Dong - China Communications, 2023 - ieeexplore.ieee.org
coding and rate matching of polar codes in 5G wireless system. Furthermore, the improved
SC decoding algorithms, such as SC list (SCL) decoding and … the 5G polar codes. In Section …

Linear and nonlinear binary kernels of polar codes of small dimensions with maximum exponents

HP Lin, S Lin, KAS Abdel-Ghaffar - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
… The use of linear kernels (or polarizing matrices) to construct polar codes is given in …
Therefore, we will not consider here the construction of polar codes from kernels but rather …

Neural successive cancellation decoding of polar codes

N Doan, SA Hashemi, WJ Gross - 2018 IEEE 19th international …, 2018 - ieeexplore.ieee.org
… propagation (BP) decoders for polar codes, due to their one-… data for practical-length polar
codes. However, PNN decoder … Compared to a PNN decoder for a polar code of length 128 …

Polar codes' simplicity, random codes' durability

HP Wang, IM Duursma - IEEE Transactions on Information …, 2020 - ieeexplore.ieee.org
… ), and the only code that achieves the MDP paradigm (suboptimally). If only polar code
achieves the optimal MDP paradigm. We brief the history of polar codes below. Unless stated …

Polar coding theorems for discrete systems

E Sasoglu - 2011 - infoscience.epfl.ch
… original polar codes as an instance of a large class of codes … of generalized constructions
on the coding length is derived. … improvements over the original polar codes can be achieved …

Relaxed polar codes

M El-Khamy, H Mahdavifar, G Feygin… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
… We also show that relaxed polar codes can be decoded with … medium code lengths, we
show that relaxed polar codes can have lower error probabilities than conventional polar codes, …

Rate matching for polar codes based on binary domination

M Jang, SK Ahn, H Jeong, KJ Kim… - IEEE Transactions …, 2019 - ieeexplore.ieee.org
… and stopping-tree puncturing for polar codes were firstly studied in [5]. … polar codes with a
good minimum row-weight property, while a method to construct length-compatible polar codes

Reduced Complexity of a Successive Cancellation Based Decoder for NB-Polar Codes

F Cochachin, L Luzzi, F Ghaffari - … on Topics in Coding (ISTC), 2021 - ieeexplore.ieee.org
… In this paper, we associate the CCSK modulation to NB-Polar codes to obtain a new …
NB-Polar codes operating in the probability domain. The association of CCSK and NBPolar codes