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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

Performance comparison of systematic polar code and non-systematic polar code

open access: yesTongxin xuebao, 2019
Polar code in channel coding schemes is a research hotspot in 5G communication field.Polar code is susceptible to error propagation under successive cancellation decoding,and the performance of the code at short and medium block lengths is not ideal.For ...
Hui LI   +4 more
doaj   +2 more sources

Concatenated LDPC-Polar Codes Decoding Through Belief Propagation

open access: yes, 2017
Owing to their capacity-achieving performance and low encoding and decoding complexity, polar codes have drawn much research interests recently. Successive cancellation decoding (SCD) and belief propagation decoding (BPD) are two common approaches for ...
Abbas, Syed Mohsin   +3 more
core   +2 more sources

Performance Evaluation of High-Speed Polar Coded CO-OFDM System with Nonlinear and Linear Impairments

open access: yesIEEE Photonics Journal, 2017
In this paper, the performance of polar code in high-speed coherent optical orthogonal frequency division multiplexing (CO-OFDM) system with nonlinear and linear impairments is comprehensively investigated for the first time.
Ling Liu   +5 more
doaj   +1 more source

Belief Propagation Decoding of Polar Codes on Permuted Factor Graphs

open access: yes, 2018
We show that the performance of iterative belief propagation (BP) decoding of polar codes can be enhanced by decoding over different carefully chosen factor graph realizations.
Brink, Stephan ten   +3 more
core   +1 more source

Achieving the Uniform Rate Region of General Multiple Access Channels by Polar Coding [PDF]

open access: yes, 2016
We consider the problem of polar coding for transmission over $m$-user multiple access channels. In the proposed scheme, all users encode their messages using a polar encoder, while a multi-user successive cancellation decoder is deployed at the receiver.
El-Khamy, Mostafa   +3 more
core   +1 more source

A method for shorting of the system Polar code based on bit-reverse permutation

open access: yesDianxin kexue, 2019
Polar code,as a channel coding scheme in 3GPP standard,has good error correction performance.In order to further improve performance of the BER of the punctured Polar code,the shortening algorithm based on bit-reverse permuation was applied to the system
Shunlan LIU, Haibo BIAN, Aiming HU
doaj   +2 more sources

Simplified polar code decoding algorithm

open access: yesDianzi Jishu Yingyong, 2018
Polar code is an error correction coding technique, which can prove from the mathematical point of view to reach Shannon′s limit. However, the traditional decoding algorithm, such as the successive cancellation(SC) and the successive cancellation list ...
Wang Dan   +3 more
doaj   +1 more source

Hyperplane Neural Codes and the Polar Complex

open access: yes, 2019
Hyperplane codes are a class of convex codes that arise as the output of a one layer feed-forward neural network. Here we establish several natural properties of stable hyperplane codes in terms of the {\it polar complex} of the code, a simplicial ...
Allen Hatcher   +10 more
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

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