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The decoding performance of polar codes strongly depends on the decoding algorithm used, while also the decoder throughput and its latency mainly depend on the decoding algorithm. In this work, we implement the powerful successive…

Information Theory · Computer Science 2016-12-22 Sebastian Cammerer , Benedikt Leible , Matthias Stahl , Jakob Hoydis , Stephan ten Brink

We propose a low complexity list successive cancellation (LCLSC) decoding algorithm to reduce complexity of traditional list successive cancellation (LSC) decoding of polar codes while trying to maintain the LSC decoding performance at the…

Information Theory · Computer Science 2013-09-13 Congzhe Cao , Zesong Fei , Jinhong Yuan , Jingming Kuang

Reed-Solomon (RS) codes are an important class of non-binary error-correction codes. They are particularly competent in correcting burst errors, being widely applied in modern communications and data storage systems. This also thanks to…

Information Theory · Computer Science 2026-02-02 Xiaoqian Ye , Jingyu Lin , Junjie Huang , Li Chen , Chang-An Zhao

Polar codes are a class of capacity-achieving codes for the binary-input discrete memoryless channels (B-DMCs). However, when applied in channels with intersymbol interference (ISI), the codes may perform poorly with BCJR equalization and…

Information Theory · Computer Science 2014-04-14 Runxin Wang , Rongke Liu , Yi Hou

BMERA or convolutional polar codes are an extension of polar codes with a provably better error exponent than polar codes. A successive cancellation (SC) decoding algorithm for BMERA codes similar to SC polar decoders is introduced. A…

Information Theory · Computer Science 2018-07-11 Tobias Prinz , Peihong Yuan

We study faulty successive cancellation decoding of polar codes for the binary erasure channel. To this end, we introduce a simple erasure-based fault model and we show that, under this model, polarization does not happen, meaning that…

Information Theory · Computer Science 2015-02-10 Alexios Balatsoukas-Stimming , Andreas Burg

A novel SC decoding method of polar codes is proposed in $d$-deletion channels, where a new pruning strategy is designed to reduce decoding complexity. Considering the difference of the scenario weight distributions, pruning thresholds for…

Information Theory · Computer Science 2024-05-22 He Sun , Rongke Liu , Bin Dai

This paper proposes a high-throughput energy-efficient Successive Cancellation (SC) decoder architecture for polar codes based on combinational logic. The proposed combinational architecture operates at relatively low clock frequencies…

Hardware Architecture · Computer Science 2016-01-12 Onur Dizdar , Erdal Arıkan

We propose an alternative method for collaborative decoding of interleaved Reed-Solomon codes. Simulation results for a concatenated coding scheme using polar codes as inner codes are included.

Information Theory · Computer Science 2010-09-20 Hans Kurzweil , Mathis Seidl , Johannes B. Huber

Polar codes are a class of linear error correction codes which provably attain channel capacity with infinite codeword lengths. Finite length polar codes have been adopted into the 5th Generation 3GPP standard for New Radio, though their…

Information Theory · Computer Science 2019-02-07 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

Multi-kernel polar codes have recently been proposed to construct polar codes of lengths different from powers of two. Decoder implementations for multi-kernel polar codes need to account for this feature, that becomes critical in memory…

Information Theory · Computer Science 2018-09-26 Valerio Bioglio , Carlo Condo , Ingmar Land

A modified successive cancellation list (SCL) decoder is proposed for polar-coded probabilistic shaping. The decoder exploits the deterministic encoding rule for shaping bits to rule out candidate code words that the encoder would not…

Information Theory · Computer Science 2023-10-25 Constantin Runge , Thomas Wiegart , Diego Lentner

In this paper, we derive the exact weight distributions that emerge during each stage of successive cancellation decoding of polar codes. Though we do not compute the distance spectrum of polar codes, the results allow us to get an estimate…

Information Theory · Computer Science 2020-09-14 Rina Polyanskaya , Mars Davletshin , Nikita Polyanskii

Successive cancellation (SC) is the first and widely known decoder of polar codes, which has received a lot of attentions recently. However, its decoding schedule generating algorithms are still primitive, which are not only complex but…

Information Theory · Computer Science 2015-05-15 Dan Le , Xiamu Niu

Polar codes are of great interests because they provably achieve the capacity of both discrete and continuous memoryless channels while having an explicit construction. Most existing decoding algorithms of polar codes are based on bit-wise…

Information Theory · Computer Science 2016-01-20 Chenrong Xiong , Jun Lin , Zhiyuan Yan

This paper deals with two main issues regarding the short polar codes: the potential of FEC-assisted decoding and optimal code concatenation strategies under various design scenarios. Code concatenation and FEC-assisted decoding are…

Information Theory · Computer Science 2016-07-26 Mohammad Sadegh Mohammadi , Eryk Dutkiewicz , Qi Zhang

Polar codes have attracted a lot of attention during past few years and have been adopted as a coding scheme for 5G standard. Successive-cancellation list (SCL) decoder provides high level error-correction performance for polar codes, but…

Information Theory · Computer Science 2019-04-25 Liang Ma , Hang Li , Yuejun Wei

Polar codes are able to achieve the capacity of memoryless channels under successive cancellation (SC) decoding. Soft Cancellation (SCAN) is a soft-output decoder based on the SC schedule, useful in iterative decoding and concatenation of…

Information Theory · Computer Science 2020-04-09 Charles Pillet , Carlo Condo , Valerio Bioglio

Polar codes are linear block codes that can achieve channel capacity at infinite code length. Successive cancellation list (SCL) decoding relies on a set of parallel decoders; it yields good error-correction performance at finite code…

Information Theory · Computer Science 2021-01-12 Carlo Condo

A novel permuted fast successive-cancellation list decoding algorithm with fast Hadamard transform (FHT-FSCL) is presented. The proposed decoder initializes $L$ $(L\ge1)$ active decoding paths with $L$ random codeword permutations sampled…

Information Theory · Computer Science 2022-02-08 Nghia Doan , Seyyed Ali Hashemi , Warren J. Gross