On the construction of polar codes

R Pedarsani, SH Hassani, I Tal… - 2011 IEEE international …, 2011 - ieeexplore.ieee.org
… Abstract—We consider the problem of efficiently constructing polar codes over binary
memoryless symmetric (BMS) channels. The complexity of designing polar codes via an exact …

Construction of polar codes in Rayleigh fading channel

D Zhou, K Niu, C Dong - IEEE Communications Letters, 2019 - ieeexplore.ieee.org
… can also be used to construct the polar codes in the RFC. In this letter, we investigate the
construction of the polar codes in the RFC. The proposed construction method is similar to the …

Practical product code construction of polar codes

C Condo, V Bioglio, H Hafermann… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
codes and product codes. Our analysis shows that the product of two polar codes is again a
polar code, … basis of the frozen sets of the component polar codes. Moreover, we show how …

How to construct polar codes

I Tal, A Vardy - IEEE Transactions on Information Theory, 2013 - ieeexplore.ieee.org
POLAR CODES In this section we briefly review polar codes with the primary aim of setting
up the relevant notation. We also indicate where the difficulty of constructing polar codes lies. …

Properties and construction of polar codes

R Mori - arXiv preprint arXiv:1002.3521, 2010 - arxiv.org
… In the thesis, we show that decoding algorithm of polar codes, called … codes, on a tree
graph. On the basis of the observation, we show an efficient construction method of polar codes

Construction of polar codes for arbitrary discrete memoryless channels

TC Gulcu, M Ye, A Barg - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
… concatenated codes [32], [33]. In this paper we present a construction method of polar codes
… with explicit analysis of approximation error and construction complexity. In particular, the …

Construction of polar codes with sublinear complexity

M Mondelli, SH Hassani… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
construction problem. We show that, if we take advantage of the partial order, we can construct
a polar code … the sense that it allows one to construct polar codes for any W, and it can be …

Multi-kernel construction of polar codes

F Gabry, V Bioglio, I Land… - 2017 IEEE International …, 2017 - ieeexplore.ieee.org
construction for binary polar codes based on mixing multiple kernels of different sizes in
order to construct polar codes of block … This results in a multi-kernel polar code with very good …

A practical construction method for polar codes

Y Zhang, A Liu, K Pan, C Gong… - IEEE Communications …, 2014 - ieeexplore.ieee.org
… In this paper, a practical construction method was proposed for polar codes over binary-…
And the method to construct polar codes for different binary-input channels was presented. …

Polar codes: Analysis and construction based on polar spectrum

K Niu, Y Li, W Wu - arXiv preprint arXiv:1908.05889, 2019 - arxiv.org
… of polar codes under successive cancellation (SC) decoding. Furthermore, we analyze the
coding structure of polar codes and … to efficiently calculate the polar spectrum. In the end, two …