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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

This paper presents a polar coding scheme to achieve secrecy in block fading binary symmetric wiretap channels without the knowledge of instantaneous channel state information (CSI) at the transmitter. For this model, a coding scheme that…

信息论 · 计算机科学 2015-11-05 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

In this paper, code decompositions (a.k.a. code nestings) are used to design binary polarization kernels. The proposed kernels are in general non-linear. They provide a better polarization exponent than the previously known kernels of the…

信息论 · 计算机科学 2015-03-09 Noam Presman , Ofer Shapira , Simon Litsyn , Tuvi Etzion , Alexander Vardy

This paper introduces techniques to construct binary polar source/channel codes based on the bit error probability of successive-cancellation decoding. The polarization lemma is reconstructed based on the bit error probability and then…

信息论 · 计算机科学 2022-05-16 Jun Muramatsu

BMERA or convolutional polar codes are an extension of polar codes with a provably better error exponent than polar codes. A successive cancellation (SC) decoding algorithm for BMERA codes similar to SC polar decoders is introduced. A…

信息论 · 计算机科学 2018-07-11 Tobias Prinz , Peihong Yuan

In this paper, we study polar codes from a practical point of view. In particular, we study concatenated polar codes and rate-compatible polar codes. First, we propose a concatenation scheme including polar codes and Low-Density…

信息论 · 计算机科学 2011-07-28 Ali Eslami , Hossein Pishro-Nik

Polar codes under successive cancellation decoding proposed by Ar{\i}kan provably achieve the symmetric capacity of any given binary-input discrete memoryless channel. The successive cancellation list decoder for polar codes was described…

信息论 · 计算机科学 2017-12-14 Zhuo Li , Lijuan Xing , Ba-Zhong Shen

In blind detection, a set of candidates has to be decoded within a strict time constraint, to identify which transmissions are directed at the user equipment. Blind detection is required by the 3GPP LTE/LTE-Advanced standard, and it will be…

信息论 · 计算机科学 2018-01-08 Carlo Condo , Seyyed Ali Hashemi , Arash Ardakani , Furkan Ercan , Warren J. Gross

We show that polar codes asymptotically achieve the whole capacity-equivocation region for the wiretap channel when the wiretapper's channel is degraded with respect to the main channel, and the weak secrecy notion is used. Our coding…

信息论 · 计算机科学 2010-09-27 Mattias Andersson , Vishwambhar Rathi , Ragnar Thobaben , Joerg Kliewer , Mikael Skoglund

To extend the applications of polar codes within next-generation wireless communication systems, it is essential to incorporate support for Incremental Redundancy (IR) Hybrid Automatic Repeat Request (HARQ) schemes. For very high-throughput…

信号处理 · 电气工程与系统科学 2026-05-28 Marwan Jalaleddine , Mohamad Ali Jarkas , Jiajie Li , Warren J. Gross

We propose a novel scheme for rate-compatible arbitrary-length polar code construction for the additive white Gaussian noise (AWGN) channel. The proposed scheme is based on the concept of non-uniform channel polarization. The original polar…

信息论 · 计算机科学 2021-03-23 R. M. Oliveira , R. C. de Lamare

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

Polar codes are introduced for discrete memoryless broadcast channels. For $m$-user deterministic broadcast channels, polarization is applied to map uniformly random message bits from $m$ independent messages to one codeword while…

信息论 · 计算机科学 2015-04-15 Naveen Goela , Emmanuel Abbe , Michael Gastpar

In this paper, we shed light on how an adaptive, efficient error coding in the transport layer helps ensure the application requirements. We recap the use of MDS codes and show that binary coding can significantly reduce the complexity and…

信息论 · 计算机科学 2022-02-22 Pablo Gil Pereira , Thorsten Herfet

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

In this paper, we propose a comprehensive Polar coding solution that integrates reliability calculation, rate matching and parity-check coding. Judging a channel coding design from the industry's viewpoint, there are two primary concerns:…

信息论 · 计算机科学 2018-01-12 Huazi Zhang , Rong Li , Jian Wang , Shengchen Dai , Gongzheng Zhang , Ying Chen , Hejia Luo , Jun Wang

Polar coding was conceived originally as a technique for boosting the cutoff rate of sequential decoding, along the lines of earlier schemes of Pinsker and Massey. The key idea in boosting the cutoff rate is to take a vector channel (either…

信息论 · 计算机科学 2015-11-17 Erdal Arıkan

The discovery of suitable automorphisms of polar codes gained a lot of attention by applying them in Automorphism Ensemble Decoding (AED) to improve the error-correction performance, especially for short block lengths. This paper introduces…

信息论 · 计算机科学 2023-06-29 Lucas Johannsen , Claus Kestel , Marvin Geiselhart , Timo Vogt , Stephan ten Brink , Norbert Wehn

Recently, a new class of error-control codes, the polar codes, have attracted much attention. The polar codes are the first known class of capacity-achieving codes for many important communication channels. In addition, polar codes have…

信息论 · 计算机科学 2012-11-19 Xudong Ma

A hybrid automatic repeat request scheme with Chase combing (HARQ-CC) of polar codes is proposed. The existing analysis tools of the underlying rate-compatible punctured polar (RCPP) codes for additive white Gaussian noise (AWGN) channels…

信息论 · 计算机科学 2014-01-13 Kai Chen , Kai Niu , Zhiqiang He , Jiaru Lin