A new code construction for polar codes using min-sum density

D Kern, S Vorköper, V Kühn - 2014 8th International …, 2014 - ieeexplore.ieee.org
Polar codes are capacity achieving codes for binary-input symmetric memoryless channels
(B-SMCs) if the code word length tends to infinity. Its encoding and decoding complexity is …

Improving successive cancellation decoding of polar codes by usage of inner block codes

M Seidl, JB Huber - 2010 6th international symposium on turbo …, 2010 - ieeexplore.ieee.org
Polar coding is a recently introduced capacity-achieving code constructing method for binary-
input discrete memoryless channels. We present a method to improve the finite-length …

A practical construction method for polar codes in AWGN channels

H Li, J Yuan - IEEE 2013 Tencon-Spring, 2013 - ieeexplore.ieee.org
Polar coding, introduced by Arikan, is the first code construction method that could be
proved to construct capacity-achieving codes for any symmetric binary-input discrete …

Performance of polar codes with the construction using density evolution

R Mori, T Tanaka - IEEE Communications Letters, 2009 - ieeexplore.ieee.org
Polar coding, proposed by Arikan, makes it possible to construct capacity-achieving codes
for symmetric binary-input discrete memoryless channels, with low encoding and decoding …

Efficient construction of polar codes

W Wang, L Li - 2017 13th International Wireless …, 2017 - ieeexplore.ieee.org
The construction of polar codes for channels other than BECs requires sorting of all bit
channels and then selecting the best K of them for a block length N= 2 n. In this paper, two …

On the performance of polar codes for 5G eMBB control channel

SA Hashemi, C Condo, F Ercan… - 2017 51st Asilomar …, 2017 - ieeexplore.ieee.org
Polar codes are a class of error-correcting codes which can provably achieve the capacity of
a binary memoryless symmetric channel with low-complexity encoding and decoding …

On efficient decoding of polar codes with large kernels

S Buzaglo, A Fazeli, PH Siegel… - 2017 IEEE Wireless …, 2017 - ieeexplore.ieee.org
Defined through a certain 2× 2 matrix called Arikan's kernel, polar codes are known to
achieve the symmetric capacity of binary-input discrete memoryless channels under the …

A lower bound on the probability of error of polar codes over BMS channels

B Shuval, I Tal - IEEE Transactions on Information Theory, 2018 - ieeexplore.ieee.org
Polar codes are a family of capacity-achieving codes that have explicit and low-complexity
construction, encoding, and decoding algorithms. Decoding of polar codes is based on the …

Construction of polar codes exploiting channel transformation structure

C Schnelling, A Schmeink - IEEE Communications Letters, 2015 - ieeexplore.ieee.org
Polar Codes are the first binary linear codes that provably achieve the symmetric capacity of
arbitrary binary-input discrete memoryless channels. Their construction is explicit as implied …

Relaxed channel polarization for reduced complexity polar coding

M El-Khamy, H Mahdavifar, G Feygin… - 2015 IEEE Wireless …, 2015 - ieeexplore.ieee.org
Arıkan's polar codes are proven to be capacity-achieving error correcting codes while
having explicit constructions. They are characterized to have encoding and decoding …