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In this paper, faulty successive cancellation decoding of polar codes for the binary erasure channel is studied. To this end, a simple erasure-based fault model is introduced to represent errors in the decoder and it is shown that, under…

Information Theory · Computer Science 2017-11-13 Alexios Balatsoukas-Stimming , Andreas Burg

In the conventional successive cancellation (SC) decoder for polar codes, all the future bits to be estimated later are treated as random variables. However, polar codes inevitably involve frozen bits, and their concatenated coding schemes…

Information Theory · Computer Science 2023-09-19 Min Jang , Jong-Hwan Kim , Seho Myung , Kyeongcheol Yang

This work identifies information-theoretic quantities that are closely related to the required list size on average for successive cancellation list (SCL) decoding to implement maximum-likelihood decoding over general binary memoryless…

Information Theory · Computer Science 2022-04-04 Mustafa Cemil Coşkun , Henry D. Pfister

As the first kind of forward error correction (FEC) codes that achieve channel capacity, polar codes have attracted much research interest recently. Compared with other popular FEC codes, polar codes decoded by list successive cancellation…

Signal Processing · Electrical Eng. & Systems 2018-07-02 ChenYang Xia , Ji Chen , YouZhe Fan , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

Nowadays polar codes are becoming one of the most favorable capacity achieving error correction codes for their low encoding and decoding complexity. However, due to the large code length required by practical applications, the few existing…

Hardware Architecture · Computer Science 2011-11-04 Chuan Zhang , Bo Yuan , Keshab K. Parhi

In this work, we investigate the performance of polar codes with the assistance of feedback in communication systems. Although it is well known that feedback does not improve the capacity of memoryless channels, we show that the finite…

Information Theory · Computer Science 2026-04-13 Ling Liu , Qi Cao , Liping Li , Baoming Bai

An efficient implementation of min-sum SC/list decoding of convolutional polar codes is proposed. The complexity of the proposed implementation of SC decoding is more than two times smaller than the straightforward implementation. Moreover,…

Information Theory · Computer Science 2020-07-14 Ruslan Morozov

The so-called fast polar decoding schedules are meant to improve the decoding speed of the sequential-natured successive cancellation list decoders. The decoding speedup is achieved by replacing various parts of the serial decoding process…

Information Theory · Computer Science 2024-06-21 Syed Aizaz Ali Shah , Gerhard Bauch

To extend the applications of polar codes within next-generation wireless communication systems, it is essential to incorporate support for Incremental Redundancy (IR) Hybrid Automatic Repeat Request (HARQ) schemes. For very high-throughput…

Signal Processing · Electrical Eng. & Systems 2026-05-28 Marwan Jalaleddine , Mohamad Ali Jarkas , Jiajie Li , Warren J. Gross

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

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

In this paper, we propose a method to obtain the optimal metric function at each depth of the polarization tree through a process we call polarization of the metric function. This polarization process generates an optimal metric at…

Information Theory · Computer Science 2025-09-08 Mohsen Moradi , Hessam Mahdavifar

We introduce successive cancellation (SC) decoding of product codes (PCs) with single parity-check (SPC) component codes. Recursive formulas are derived, which resemble the SC decoding algorithm of polar codes. We analyze the error…

Information Theory · Computer Science 2017-06-19 Mustafa Cemil Coşkun , Gianluigi Liva , Alexandre Graell i Amat , Michael Lentmaier

This work presents a high throughput and energy efficient multicore (MC) successive cancellation (SC) decoder architecture for polar codes. SC is a low-complexity decoding algorithm with a set of sequential operations. The sequential…

Hardware Architecture · Computer Science 2021-08-30 Altuğ Süral , Ertuğrul Kolağasıoğlu

In this paper, we design a polar decoding platform for diverse application scenarios that require low-cost and low-power communications. Specifically, prevalent polar decoders such as successive cancellation (SC), SC-list (SCL) and Fano…

Information Theory · Computer Science 2021-07-20 Jiajie Tong , Qifan Zhang , Huazi Zhang , Rong Li , Jun Wang , Wen Tong

For finite length polar codes, channel polarization leaves a significant number of channels not fully polarized. Adding a Cyclic Redundancy Check (CRC) to better protect information on the semi-polarized channels has already been…

Information Theory · Computer Science 2016-11-14 A. Elkelesh , M. Ebada , S. Cammerer , S. ten Brink

Since its invention, polar code has received a lot of attention because of its capacity-achieving performance and low encoding and decoding complexity. Successive cancellation decoding (SCD) and belief propagation decoding (BPD) are two of…

Information Theory · Computer Science 2015-08-26 Syed Mohsin Abbas , YouZhe Fan , Ji Chen , Chi-Ying Tsui

Reed-Muller (RM) and polar codes are a class of capacity-achieving channel coding schemes with the same factor graph representation. Low-complexity decoding algorithms fall short in providing a good error-correction performance for RM and…

Information Theory · Computer Science 2018-07-12 Seyyed Ali Hashemi , Nghia Doan , Marco Mondelli , Warren J. Gross

Polar codes are the first class of forward error correction (FEC) codes with a provably capacity-achieving capability. Using list successive cancellation decoding (LSCD) with a large list size, the error correction performance of polar…

Signal Processing · Electrical Eng. & Systems 2018-05-09 ChenYang Xia , YouZhe Fan , Ji Chen , Chi-ying Tsui , ChongYang Zeng , Jie Jin , Bin Li

Polar codes are a class of linear block codes that provably achieves channel capacity. They have been selected as a coding scheme for the control channel of enhanced mobile broadband (eMBB) scenario for $5^{\text{th}}$ generation wireless…

Hardware Architecture · Computer Science 2020-06-04 Furkan Ercan , Thibaud Tonnellier , Carlo Condo , Warren J. Gross