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When a neural network (NN) is used to decode a polar code, its training complexity scales exponentially as the code block size (or to be precise, as a number of message bits) increases. Therefore, existing solutions that use a neural…

Information Theory · Computer Science 2022-11-10 Evgeny Stupachenko

We propose a self-supervised deep learning-based decoding scheme that enables one-shot decoding of polar codes. In the proposed scheme, rather than using the information bit vectors as labels for training the neural network (NN) through…

Information Theory · Computer Science 2023-08-01 Huiying Song , Yihao Luo , Yuma Fukuzawa

In this paper, we present a sparse neural network decoder (SNND) of polar codes based on belief propagation (BP) and deep learning. At first, the conventional factor graph of polar BP decoding is converted to the bipartite Tanner graph…

Signal Processing · Electrical Eng. & Systems 2018-11-27 Weihong Xu , Xiaohu You , Chuan Zhang , Yair Be'ery

We describe a novel approach to interpret a polar code as a low-density parity-check (LDPC)-like code with an underlying sparse decoding graph. This sparse graph is based on the encoding factor graph of polar codes and is suitable for…

Information Theory · Computer Science 2018-05-15 Sebastian Cammerer , Moustafa Ebada , Ahmed Elkelesh , Stephan ten Brink

This paper introduces a neural polar decoder (NPD) for deletion channels with a constant deletion rate. Existing polar decoders for deletion channels exhibit high computational complexity of $O(N^4)$, where $N$ is the block length. This…

Information Theory · Computer Science 2025-07-18 Ziv Aharoni , Henry D. Pfister

We revisit the idea of using deep neural networks for one-shot decoding of random and structured codes, such as polar codes. Although it is possible to achieve maximum a posteriori (MAP) bit error rate (BER) performance for both code…

Information Theory · Computer Science 2017-01-27 Tobias Gruber , Sebastian Cammerer , Jakob Hoydis , Stephan ten Brink

Polar codes have been adopted as the control channel coding scheme in the fifth generation new radio (5G NR) standard due to its capacity-achievable property. Traditional polar decoding algorithms such as successive cancellation (SC) suffer…

Signal Processing · Electrical Eng. & Systems 2019-08-02 Zhiwei Cao , Hongfei Zhu , Yuping Zhao , Dou Li

The problem of low complexity, close to optimal, channel decoding of linear codes with short to moderate block length is considered. It is shown that deep learning methods can be used to improve a standard belief propagation decoder,…

Information Theory · Computer Science 2018-03-14 Eliya Nachmani , Elad Marciano , Loren Lugosch , Warren J. Gross , David Burshtein , Yair Beery

In this work, we introduce a deep learning-based polar code construction algorithm. The core idea is to represent the information/frozen bit indices of a polar code as a binary vector which can be interpreted as trainable weights of a…

Information Theory · Computer Science 2019-09-30 Moustafa Ebada , Sebastian Cammerer , Ahmed Elkelesh , Stephan ten Brink

A reduced complexity sequential decoding algorithm for polar (sub)codes is described. The proposed approach relies on a decomposition of the polar (sub)code being decoded into a number of outer codes, and on-demand construction of codewords…

Information Theory · Computer Science 2020-07-08 Grigorii Trofimiuk , Nikolay Iakuba , Stanislav Rets , Kirill Ivanov , Peter Trifonov

In this paper, we introduce a novel class of pre-transformed polar codes, termed as deep polar codes. We first present a deep polar encoder that harnesses a series of multi-layered polar transformations with varying sizes. Our approach to…

Information Theory · Computer Science 2023-08-08 Geon Choi , Namyoon Lee

Hypernetworks were recently shown to improve the performance of message passing algorithms for decoding error correcting codes. In this work, we demonstrate how hypernetworks can be applied to decode polar codes by employing a new…

Information Theory · Computer Science 2020-02-11 Eliya Nachmani , Lior Wolf

Polar codes have drawn much attention and been adopted in 5G New Radio (NR) due to their capacity-achieving performance. Recently, as the emerging deep learning (DL) technique has breakthrough achievements in many fields, neural network…

Signal Processing · Electrical Eng. & Systems 2019-02-05 Chieh-Fang Teng , Chen-Hsi Wu , Kuan-Shiuan Ho , An-Yeu Wu

Polar codes are newly discovered capacity-achieving codes, which have attracted lots of research efforts. Polar codes can be efficiently decoded by the low-complexity successive cancelation (SC) algorithm and the SC list (SCL) decoding…

Information Theory · Computer Science 2016-11-17 Jun Lin , Chenrong Xiong , Zhiyuan Yan

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…

Information Theory · Computer Science 2017-03-17 Syed Mohsin Abbas , YouZhe Fan , Ji Chen , Chi-Ying Tsui

Polar codes are an exciting new class of error correcting codes that achieve the symmetric capacity of memoryless channels. Many decoding algorithms were developed and implemented, addressing various application requirements: from…

Progress in designing channel codes has been driven by human ingenuity and, fittingly, has been sporadic. Polar codes, developed on the foundation of Arikan's polarization kernel, represent the latest breakthrough in coding theory and have…

Information Theory · Computer Science 2024-06-06 S Ashwin Hebbar , Sravan Kumar Ankireddy , Hyeji Kim , Sewoong Oh , Pramod Viswanath

Polar codes can theoretically achieve very competitive Frame Error Rates. In practice, their performance may depend on the chosen decoding procedure, as well as other parameters of the communication system they are deployed upon. As a…

Machine Learning · Computer Science 2021-05-12 Mathieu Léonardon , Vincent Gripon

Polar codes have promising error-correction capabilities. Yet, decoding polar codes is often challenging, particularly with large blocks, with recently proposed decoders based on list-decoding or neural-decoding. The former applies multiple…

Information Theory · Computer Science 2023-02-14 Tomer Raviv , Alon Goldman , Ofek Vayner , Yair Be'ery , Nir Shlezinger

This paper presents an enhanced belief propagation (BP) decoding algorithm and a reinforcement learning-based BP decoding algorithm for polar codes. The enhanced BP algorithm weighs each Processing Element (PE) input based on their signals…

Information Theory · Computer Science 2021-11-02 L. M. Oliveira , R. M. Oliveira , R. C. de Lamare
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