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Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

信息论 · 计算机科学 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross

In the standard polar code construction, the message vector $(U_0,U_1,\dots,U_{n-1})$ is divided into information bits and frozen bits according to the reliability of each $U_i$ given $(U_0,U_1,\dots,U_{i-1})$ and all the channel outputs.…

信息论 · 计算机科学 2021-11-05 Guodong Li , Min Ye , Sihuang Hu

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

This paper focuses on the frozen set design for precoded polar codes decoded by the successive cancellation list (SCL) algorithm. We propose a novel frozen set design method, whose computational complexity is low due to the use of…

信息论 · 计算机科学 2024-08-15 Vera Miloslavskaya , Yonghui Li , Branka Vucetic

Polar codes have received increasing attention in the past decade, and have been selected for the next generation of wireless communication standard. Most research on polar codes has focused on codes constructed from a $2\times2$…

硬件体系结构 · 计算机科学 2018-02-05 Gabriele Coppolino , Carlo Condo , Guido Masera , Warren J. Gross

Unrolling a decoding algorithm allows to achieve extremely high throughput at the cost of increased area. Look-up tables (LUTs) can be used to replace functions otherwise implemented as circuits. In this work, we show the impact of…

Polar codes are a new family of error correction codes for which efficient hardware architectures have to be defined for the encoder and the decoder. Polar codes are decoded using the successive cancellation decoding algorithm that includes…

硬件体系结构 · 计算机科学 2015-01-12 Guillaume Berhault , Camille Leroux , Christophe Jego , Dominique Dallet

Polar codes is promising because they can provably achieve the channel capacity while having an explicit construction method. Lots of work have been done for the bit-based decoding algorithm for polar codes. In this paper, generalized…

信息论 · 计算机科学 2016-11-15 Chenrong Xiong , Jun Lin , Zhiyuan Yan

Polar codes are the first codes with a proven capacity-achieving capability, but their decoding faces several challenges, especially under long code lengths. In this paper, we target algorithmic improvements and analyses to enable the…

信息论 · 计算机科学 2026-05-22 Jiajie Li , Sihui Shen , Warren J. Gross

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…

信息论 · 计算机科学 2021-07-20 Jiajie Tong , Qifan Zhang , Huazi Zhang , Rong Li , Jun Wang , Wen Tong

We propose a belief propagation list (BPL) decoder with comparable performance to the successive cancellation list (SCL) decoder of polar codes, which already achieves the maximum likelihood (ML) bound of polar codes for sufficiently large…

信息论 · 计算机科学 2018-08-24 Ahmed Elkelesh , Moustafa Ebada , Sebastian Cammerer , Stephan ten Brink

In this paper, we investigate a coupled polar code architecture that supports both local and global decoding. This local-global construction is motivated by practical applications in data storage and transmission where reduced-latency…

信息论 · 计算机科学 2023-01-09 Ziyuan Zhu , Wei Wu , Paul H. Siegel

In this work, we present a simplified successive cancellation list decoder that uses a Chase-like decoding process to achieve a six time improvement in speed compared to successive cancellation list decoding while maintaining the same…

信息论 · 计算机科学 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Ultra-reliable low latency communication (URLLC) is a key part of 5G wireless systems. Achieving low latency necessitates codes with short blocklengths for which polar codes with successive cancellation list (SCL) decoding typically…

硬件体系结构 · 计算机科学 2025-12-22 Darja Nonaca , Jérémy Guichemerre , Reinhard Wiesmayr , Nihat Engin Tunali , Christoph Studer

Blind recognition of polar codes remains challenging in non-cooperative scenarios, particularly for information-set recognition with known code length. Existing methods mainly rely on threshold decisions determined by the generator-matrix…

信息论 · 计算机科学 2026-05-14 Changwei Tu , Yang Liu , Xianzhao Feng , Kai Niu

This paper presents a hardware architecture of complex K-best Multiple Input Multiple Output (MIMO) decoder reducing the complexity of Maximum Likelihood (ML) detector. We develop a novel low-power VLSI design of complex K-best decoder for…

信息论 · 计算机科学 2016-02-22 Mehnaz Rahman , Gwan S. Choi

A latest coding scheme named polarization-adjusted convolutional (PAC) codes is shown to approach the dispersion bound for the code (128,64) under list decoding. However, to achieve the near-bound performance, the list size of list decoding…

信息论 · 计算机科学 2020-12-29 Hongfei Zhu , Zhiwei Cao , Yuping Zhao , Dou Li , Yanjun Yang

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

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 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…

硬件体系结构 · 计算机科学 2016-01-12 Onur Dizdar , Erdal Arıkan