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We describe a successive-cancellation \emph{list} decoder for polar codes, which is a generalization of the classic successive-cancellation decoder of Ar{\i}kan. In the proposed list decoder, up to $L$ decoding paths are considered…

信息论 · 计算机科学 2012-06-04 Ido Tal , Alexander Vardy

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…

信息论 · 计算机科学 2022-11-10 Evgeny Stupachenko

Polar codes have gained extensive attention during the past few years and recently they have been selected for the next generation of wireless communications standards (5G). Successive-cancellation-based (SC-based) decoders, such as SC list…

信息论 · 计算机科学 2020-01-08 Seyyed Ali Hashemi , Carlo Condo , Marco Mondelli , Warren J. Gross

Spatially coupled, parallel concatenated codes (SC-PCCs) have been shown to approach channel capacity when decoded using optimal iterative methods. However, under complexity constraints such decoding strategies can result in unacceptable…

信息论 · 计算机科学 2021-09-07 Andrew D. Cummins , David G. M. Mitchell , Daniel J. Costello,

In this paper, we analyze the delay probability of the first error position in perturbation-enhanced Successive cancellation (SC) decoding for polar codes. Our findings reveal that, asymptotically, an SC decoder's performance does not…

信息论 · 计算机科学 2025-01-13 Zhicheng Liu , Liuquan Yao , Shuai Yuan , Guiying Yan , Zhiming Ma , Yuting Liu

In theory, Polar codes do not exhibit an error floor under successive-cancellation (SC) decoding. In practice, frame error rate (FER) down to $10^{-12}$ has not been reported with a real SC list (SCL) decoder hardware. This paper presents…

信息论 · 计算机科学 2019-04-05 Jiajie Tong , Huazi Zhang , Lingchen Huang , Xiaocheng Liu , Jun Wang

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…

信息论 · 计算机科学 2015-08-26 Syed Mohsin Abbas , YouZhe Fan , Ji Chen , Chi-Ying Tsui

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…

信息论 · 计算机科学 2023-08-08 Geon Choi , Namyoon Lee

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…

信号处理 · 电气工程与系统科学 2018-07-02 ChenYang Xia , Ji Chen , YouZhe Fan , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

We show that successive cancellation list decoding can be formulated exclusively using log-likelihood ratios. In addition to numerical stability, the log-likelihood ratio based formulation has useful properties which simplify the sorting…

信息论 · 计算机科学 2016-02-15 Alexios Balatsoukas-Stimming , Mani Bastani Parizi , Andreas Burg

As the first error correction codes provably achieving the symmetric capacity of binary-input discrete memory-less channels (B-DMCs), polar codes have been recently chosen by 3GPP for eMBB control channel. Among existing algorithms,…

信号处理 · 电气工程与系统科学 2018-03-19 Huayi Zhou , Xiao Liang , Liping Li , Zaichen Zhang , Xiaohu You , Chuan Zhang

This paper presents our low-latency Polar code encoders and decoders developed for the 2025 International Symposium on Topics in Coding (ISTC 2025) contest, which challenges participants to implement the fastest possible channel code…

网络与互联网体系结构 · 计算机科学 2025-07-08 Mathieu Leonardon , Mohammed El Houcine Ayoubi , Adrien Cassagne , Romain Tajan , Camille Leroux

This paper proposes an enhanced list-aided successive cancellation stack (ELSCS) decoding algorithm with adjustable decoding complexity. In addition, a logarithmic likelihood ratio (LLR)-threshold based path extension scheme is designed to…

信息论 · 计算机科学 2019-12-18 Haotian Zheng , Bin Chen , Luis F. Abanto-Leon , Zizheng Cao , Ton Koonen

Applications of massive machine-type communications, such as sensor networks, smart metering, 'internet-of-things', or process and factory automation, are forecast to have great economic impact in the next five to ten years. Low-complexity…

信息论 · 计算机科学 2019-02-28 Joachim Neu

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…

信息论 · 计算机科学 2015-05-15 Dan Le , Xiamu Niu

Polar codes are a class of capacity achieving error correcting codes that has been recently selected for the next generation of wireless communication standards (5G). Polar code decoding algorithms have evolved in various directions,…

信息论 · 计算机科学 2017-10-16 Furkan Ercan , Carlo Condo , Seyyed Ali Hashemi , Warren J. Gross

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-…

信息论 · 计算机科学 2018-03-06 Boaz Shuval , Ido Tal

A product code with single parity-check component codes can be described via the tools of a multi-kernel polar code, where the rows of the generator matrix are chosen according to the constraints imposed by the product code construction.…

Successive cancellation list (SCL) decoding algorithm is a powerful method that can help polar codes achieve excellent error-correcting performance. However, the current SCL algorithm and decoders are based on likelihood or log-likelihood…

信息论 · 计算机科学 2014-12-16 Bo Yuan , Keshab K. Parhi

This paper investigates the error probability of several decoding methods for a source code with decoder side information, where the decoding methods are: 1) symbol-wise maximum a posteriori decoding, 2) successive-cancellation decoding,…

信息论 · 计算机科学 2019-04-11 Jun Muramatsu