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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

Polar codes are a channel coding scheme for the next generation of wireless communications standard (5G). The belief propagation (BP) decoder allows for parallel decoding of polar codes, making it suitable for high throughput applications.…

信息论 · 计算机科学 2018-07-02 Nghia Doan , Seyyed Ali Hashemi , Marco Mondelli , Warren J. Gross

Polar codes were recently introduced by Ar\i kan. They achieve the capacity of arbitrary symmetric binary-input discrete memoryless channels under a low complexity successive cancellation decoding strategy. The original polar code…

信息论 · 计算机科学 2009-01-26 Satish Babu Korada , Eren Sasoglu , Rudiger Urbanke

In this paper, we introduce a new coding and decoding structure for enhancing the reliability and performance of polar codes, specifically at low error rates. We achieve this by concatenating two polar codes in series to create robust…

信息论 · 计算机科学 2023-11-07 Mohammed Mensouri , Mustapha Eddahibi

Although power line communication (PLC) systems are available everywhere, unfortunately these systems are not suitable for information transmission due to the effects of the impulsive noise. Therefore, many previous studies on channel codes…

信号处理 · 电气工程与系统科学 2020-07-08 Ammar Hadi , Emad Alsusa , Khaled M. Rabie

Finding fast polarizing transforms is an important problem as polar codes suffer from slow finitelength performance. This paper considers non binary polar codes for transmission over the AWGN channel and designs polarizing transforms with…

信息论 · 计算机科学 2019-01-31 Sinan Kahraman

A polar coding scheme for fading channels is proposed in this paper. More specifically, the focus is Gaussian fading channel with a BPSK modulation technique, where the equivalent channel could be modeled as a binary symmetric channel with…

信息论 · 计算机科学 2013-04-16 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

The polar codes are proven to be capacity-achieving and are shown to have equivalent or even better finite-length performance than the turbo/LDPC codes under some improved decoding algorithms over the additive white Gaussian noise (AWGN)…

信息论 · 计算机科学 2014-05-20 Kai Chen , Kai Niu , Jiaru Lin

Performance and complexity of sequential decoding of polarization-adjusted convolutional (PAC) codes is studied. In particular, a performance and computational complexity comparison of PAC codes with 5G polar codes and convolutional codes…

信息论 · 计算机科学 2020-12-18 Mohsen Moradi , Amir Mozammel , Kangjian Qin , Erdal Arikan

Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

信息论 · 计算机科学 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

The weighted-Hamming metric generalizes the Hamming metric by assigning different weights to blocks of coordinates. It is well-suited for applications such as coding over independent parallel channels, each of which has a different level of…

信息论 · 计算机科学 2026-01-21 Sebastian Bitzer , Alberto Ravagnani , Violetta Weger

Suppose Alice wishes to send messages to Bob through a communication channel C_1, but her transmissions also reach an eavesdropper Eve through another channel C_2. The goal is to design a coding scheme that makes it possible for Alice to…

信息论 · 计算机科学 2015-03-13 Hessam Mahdavifar , Alexander Vardy

We construct a channel coding scheme to achieve the capacity of any discrete memoryless channel based solely on the techniques of polar coding. In particular, we show how source polarization and randomness extraction via polarization can be…

信息论 · 计算机科学 2016-01-22 David Sutter , Joseph M. Renes , Frédéric Dupuis , Renato Renner

Consider a binary-input memoryless output-symmetric channel $W$. Such a channel has a capacity, call it $I(W)$, and for any $R<I(W)$ and strictly positive constant $P_{\rm e}$ we know that we can construct a coding scheme that allows…

信息论 · 计算机科学 2016-11-17 S. Hamed Hassani , Kasra Alishahi , Rudiger Urbanke

In this paper, we propose the explicit construction of a new class of lattices based on polar codes, which are provably good for the additive white Gaussian noise (AWGN) channel. We follow the multilevel construction of Forney \textit{et…

信息论 · 计算机科学 2013-07-05 Yanfei Yan , Cong Ling , Xiaofu Wu

This paper focuses on an improved Gaussian approximation (GA) based construction of polar codes with successive cancellation (SC) decoding over an additive white Gaussian noise (AWGN) channel. Arikan has proven that polar codes with…

信息论 · 计算机科学 2020-10-08 Hideki Ochiai , Patrick Mitran , H. Vincent Poor

The adversarial wiretap channel (AWTC) model is a secure communication model in which adversary can directly read and write the transmitted bits in legitimate communication with fixed fractions. In this paper we propose a secure polar…

信息论 · 计算机科学 2021-01-01 Yizhi Zhao

Polar coding is a method for communication over noisy classical channels which is provably capacity-achieving and has an efficient encoding and decoding. Recently, this method has been generalized to the realm of quantum information…

量子物理 · 物理学 2016-02-01 Christoph Hirche , Ciara Morgan , Mark M. Wilde

While constructing polar codes for successive-cancellation decoding can be implemented efficiently by sorting the bit-channels, finding optimal polar codes for cyclic-redundancy-check-aided successive-cancellation list (CA-SCL) decoding in…

信息论 · 计算机科学 2023-05-16 Yun Liao , Seyyed Ali Hashemi , Hengjie Yang , John M. Cioffi

Reed Muller (RM) codes are known for their good minimum distance. One can use their structure to construct polar-like codes with good distance properties by choosing the information set as the rows of the polarization matrix with the…

信息论 · 计算机科学 2022-04-15 Samet Gelincik , Philippe Mary , Anne Savard , Jean-Yves Baudais