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On Training Neural Network Decoders of Rate Compatible Polar Codes via Transfer Learning [PDF]

open access: yesEntropy, 2020
Neural network decoders (NNDs) for rate-compatible polar codes are studied in this paper. We consider a family of rate-compatible polar codes which are constructed from a single polar coding sequence as defined by 5G new radios.
Hyunjae Lee   +3 more
doaj   +2 more sources

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   +3 more sources

Blind detection of polar codes [PDF]

open access: yes2017 IEEE International Workshop on Signal Processing Systems (SiPS), 2017
Polar codes were recently chosen to protect the control channel information in the next-generation mobile communication standard (5G) defined by the 3GPP. As a result, receivers will have to implement blind detection of polar coded frames in order to keep complexity, latency, and power consumption tractable.
Pascal Giard   +2 more
openaire   +3 more sources

Polar sampler: A novel Bernoulli sampler using polar codes with application to integer Gaussian sampling [PDF]

open access: yes, 2022
Cryptographic constructions based on hard lattice problems have emerged as a front runner for the standardization of post-quantum public-key cryptography.
Ling, Cong, Wang, Jiabo
core   +1 more source

Polarization and Polar Codes [PDF]

open access: yesFoundations and Trends® in Communications and Information Theory, 2012
This tutorial treats the fundamentals of polarization theory and polar coding. Arikan’s original results on binary source and channel polarization methods are studied. Error probability and complexity analyses are offered. The original results are generalized in several directions.
openaire   +2 more sources

Concatenated Polar codes [PDF]

open access: yes2010 IEEE International Symposium on Information Theory, 2010
Polar codes have attracted much recent attention as the first codes with low computational complexity that provably achieve optimal rate-regions for a large class of information-theoretic problems. One significant drawback, however, is that for current constructions the probability of error decays sub-exponentially in the block-length (more detailed ...
Mayank Bakshi   +2 more
openaire   +3 more sources

Differential properties of polar codes [PDF]

open access: yesE3S Web of Conferences, 2023
This paper discusses the features of polar coding as a differential encoder for a binary erasure channel. One of the modern methods of error-correcting coding is polar codes, which has great prospects in the development of current and future wireless ...
Shalin Georgiy   +5 more
doaj   +1 more source

On the construction of polar codes [PDF]

open access: yes2011 IEEE International Symposium on Information Theory Proceedings, 2011
We consider the problem of efficiently constructing polar codes over binary memoryless symmetric (BMS) channels. The complexity of designing polar codes via an exact evaluation of the polarized channels to find which ones are "good" appears to be exponential in the block length.
Pedarsani R   +3 more
openaire   +3 more sources

Nonbinary polar coding with low decoding latency and complexity

open access: yesJournal of Information and Intelligence, 2023
In this paper, we propose a new class of nonbinary polar codes, where the symbol-level polarization is achieved by using a 2 × 2 q-ary matrix 10β1 as the kernel.
Peiyao Chen, Baoming Bai, Xiao Ma
doaj   +1 more source

polar-codes

open access: yes, 2022
The v1.0.2 maintenance release of polar-codes The polar-codes project is a library and simulation tool for a Forward Error Correcting (FEC) scheme named "Polar Codes".
Lotze, Florian, Demel, Johannes
core   +1 more source

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