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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…

信息论 · 计算机科学 2019-02-07 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

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

信息论 · 计算机科学 2024-12-24 Li Shen , Yongpeng Wu , Yin Xu , Xiaohu You , Xiqi Gao , Wenjun Zhang

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

SC-Flip (SCF) is a low-complexity polar code decoding algorithm with improved performance, and is an alternative to high-complexity (CRC)-aided SC-List (CA-SCL) decoding. However, the performance improvement of SCF is limited since it can…

信息论 · 计算机科学 2020-09-22 Furkan Ercan , Thibaud Tonnellier , Nghia Doan , Warren J. Gross

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…

信息论 · 计算机科学 2020-04-09 Charles Pillet , Carlo Condo , Valerio Bioglio

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…

信息论 · 计算机科学 2020-07-08 Grigorii Trofimiuk , Nikolay Iakuba , Stanislav Rets , Kirill Ivanov , Peter Trifonov

Due to the low-latency and high-reliability requirements of 5G, low-complexity node-based successive cancellation list (SCL) decoding has received considerable attention for use in 5G communications systems. By identifying special…

In this letter, we propose parallel SC (Successive Cancellation) decoder and parallel SC-List decoder for polar codes. The parallel decoder is composed of M=2^m(m>=1) component decoders working in parallel and each component decoder decodes…

信息论 · 计算机科学 2013-09-05 Bin Li , Hui Shen , David Tse

This work is on fast encoding and decoding of polar codes. We propose and detail 8-bit and 16-bit parallel decoders that can be used to reduce the decoding latency of the successive-cancellation decoder. These decoders are universal and can…

信息论 · 计算机科学 2017-04-04 Muhammad Hanif , Masoud Ardakani

Fast SC decoding overcomes the latency caused by the serial nature of the SC decoding by identifying new nodes in the upper levels of the SC decoding tree and implementing their fast parallel decoders. In this work, we first present a novel…

Even though polar codes were adopted in the latest 5G cellular standard, they still have the fundamental problem of high decoding latency. Aiming at solving this problem, a fast simplified successive cancellation (Fast-SSC) decoder based on…

信息论 · 计算机科学 2020-08-20 Haotian Zheng , Alexios Balatsoukas-Stimming , Zizheng Cao , Ton Koonen

Channel polarization and Polar code are widely considered as major breakthroughs in coding theory because they have shown promising features for future wireless standards. The main drawbacks of Polar code are high-latency in decoding…

信号处理 · 电气工程与系统科学 2019-05-14 Duc-Phuc Nguyen , Dinh-Dung Le , Thi-Hong Tran , Takashi Nakada , Yasuhiko Nakashima

This paper characterizes the latency of the simplified successive-cancellation (SSC) decoding scheme for polar codes under hardware resource constraints. In particular, when the number of processing elements $P$ that can perform SSC…

This work analyzes the latency of the simplified successive cancellation (SSC) decoding scheme for polar codes proposed by Alamdar-Yazdi and Kschischang. It is shown that, unlike conventional successive cancellation decoding, where latency…

信息论 · 计算机科学 2020-09-08 Marco Mondelli , Seyyed Ali Hashemi , John Cioffi , Andrea Goldsmith

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…

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…

信息论 · 计算机科学 2016-11-17 Jun Lin , Chenrong Xiong , Zhiyuan Yan

Successive cancellation list decoders with flip operations (SCL-Flip) can utilize re-decoding attempts to significantly improve the error-correction performance of polar codes. However, these re-decoding attempts result in extra computation…

信息论 · 计算机科学 2021-12-10 Yansong Lv , Hang Yin , Zhanxin Yang , Yuhuan Wang , Jingxin Dai , Jing Huan

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,…

信息论 · 计算机科学 2020-07-14 Ruslan Morozov

Due to their capacity-achieving property, polar codes have become one of the most attractive channel codes. To date, the successive cancellation list (SCL) decoding algorithm is the primary approach that can guarantee outstanding…

信息论 · 计算机科学 2016-11-18 Bo Yuan , Keshab K. Parhi

Row-merged polar codes are a family of pre-transformed polar codes (PTPCs) with little precoding overhead. Providing an improved distance spectrum over plain polar codes, they are capable to perform close to the finite-length capacity…