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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

The soft-output successive cancellation list (SO-SCL) decoder provides a methodology for estimating the a-posteriori probability log-likelihood ratios by only leveraging the conventional SCL decoder of polar codes. However, the sequential…

Information Theory · Computer Science 2026-05-11 Li Shen , Yongpeng Wu , Zhen Gao , Yin Xu , Xiaohu You , Xiqi Gao , Wenjun Zhang

In this paper we address the problem of selecting factor-graph permutations of polar codes under belief propagation (BP) decoding to significantly improve the error-correction performance of the code. In particular, we formalize the…

Information Theory · Computer Science 2020-09-16 Nghia Doan , Seyyed Ali Hashemi , Warren Gross

Due to their provably capacity-achieving performance, polar codes have attracted a lot of research interest recently. For a good error-correcting performance, list successive-cancellation decoding (LSCD) with large list size is used to…

Information Theory · Computer Science 2018-07-02 YouZhe Fan , ChenYang Xia , Ji Chen , Chi-Ying Tsui , Jie Jin , Hui Shen , Bin Li

Polar codes are a class of channel capacity achieving codes that has been selected for the next generation of wireless communication standards. Successive-cancellation (SC) is the first proposed decoding algorithm, suffering from mediocre…

Information Theory · Computer Science 2018-10-09 Furkan Ercan , Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

This paper presents a hardware architecture of fast simplified successive cancellation (fast-SSC) algorithm for polar codes, which significantly reduces the decoding latency and dramatically increases the throughput. Algorithmically,…

Information Theory · Computer Science 2015-09-30 Tiben Che , Jingwei Xu , Gwan Choi

A new algorithm for efficient exact maximum likelihood decoding of polar codes (which may be CRC augmented), transmitted over the binary erasure channel, is presented. The algorithm applies a matrix triangulation process on a sparse polar…

Information Theory · Computer Science 2021-06-29 Yonatan Urman , David Burshtein

Polar codes are a family of capacity-achieving codes that have explicit and low-complexity construction, encoding, and decoding algorithms. Decoding of polar codes is based on the successive-cancellation decoder, which decodes in a bit-…

Information Theory · Computer Science 2018-03-06 Boaz Shuval , Ido Tal

In this letter, we propose an adaptive SC (Successive Cancellation)-List decoder for polar codes with CRC. This adaptive SC-List decoder iteratively increases the list size until the decoder outputs contain at least one survival path which…

Information Theory · Computer Science 2012-08-16 Bin Li , Hui Shen , David Tse

For polar codes with short-to-medium code length, list successive cancellation decoding is used to achieve a good error-correcting performance. However, list pruning in the current list decoding is based on the sorting strategy and its…

Hardware Architecture · Computer Science 2015-11-30 YouZhe Fan , Ji Chen , ChenYang Xia , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

Binary linear block codes (BLBCs) form the foundation of modern communication systems, yet no single code family simultaneously optimizes all performance aspects. This leads to the widely used multi-code architecture in the standard,…

Information Theory · Computer Science 2026-01-19 Pin-Jing Li , Yu-Chih Huang

Previous work showed that polar codes can be decoded using off-the-shelf LDPC decoders by imposing special constraints on the LDPC code structure, which, however, resulted in some performance degradation. In this paper we show that this…

Information Theory · Computer Science 2019-09-27 Moustafa Ebada , Ahmed Elkelesh , Stephan ten Brink

Deep polar codes, employing multi-layered polar kernel pre-transforms in series, are recently introduced variants of pre-transformed polar codes. These codes have demonstrated the ability to reduce the number of minimum weight codewords,…

Information Theory · Computer Science 2024-08-13 Geon Choi , Namyoon Lee

Polar codes are a recently proposed class of block codes that provably achieve the capacity of various communication channels. They received a lot of attention as they can do so with low-complexity encoding and decoding algorithms, and they…

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

In this letter we present a new architecture for a polar decoder using a reduced complexity successive cancellation decoding algorithm. This novel fully-unrolled, deeply-pipelined architecture is capable of achieving a coded throughput of…

Hardware Architecture · Computer Science 2015-05-20 Pascal Giard , Gabi Sarkis , Claude Thibeault , Warren J. Gross

The successive cancellation list decoding algorithm for polar codes yields near-optimal decoding performance at the cost of high implementation complexity. The successive cancellation stack algorithm has been shown to provide similar…

Information Theory · Computer Science 2018-09-12 Harsh Aurora , Warren J. Gross

The belief propagation (BP) based algorithm is investigated as a potential decoder for both of error correcting codes and lossy compression, which are based on non-monotonic tree-like multilayer perceptron encoders. We discuss that whether…

Information Theory · Computer Science 2015-03-18 Kazushi Mimura , Florent Cousseau , Masato Okada

Under successive cancellation (SC) decoding, polar codes are inferior to other codes of similar blocklength in terms of frame error rate. While more sophisticated decoding algorithms such as list- or stack-decoding partially mitigate this…

Information Theory · Computer Science 2014-12-18 Orion Afisiadis , Alexios Balatsoukas-Stimming , Andreas Burg

The recently-discovered polar codes are seen as a major breakthrough in coding theory; they provably achieve the theoretical capacity of discrete memoryless channels using the low complexity successive cancellation (SC) decoding algorithm.…

Hardware Architecture · Computer Science 2015-03-19 Camille Leroux , Alexandre J. Raymond , Gabi Sarkis , Ido Tal , Alexander Vardy , Warren J. Gross
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