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This work presents a polar coding scheme for fading channels, focusing primarily on fading binary symmetric and additive exponential noise channels. For fading binary symmetric channels, a hierarchical coding scheme is presented, utilizing…

Information Theory · Computer Science 2014-08-19 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

Polar codes, invented by Arikan in 2009, are known to achieve the capacity of any binary-input memoryless output-symmetric channel. One of the few drawbacks of the original polar code construction is that it is not universal. This means…

Information Theory · Computer Science 2013-12-16 S. Hamed Hassani , Rudiger Urbanke

In this work, a novel data-driven methodology for designing polar codes for channels with and without memory is proposed. The methodology is suitable for the case where the channel is given as a "black-box" and the designer has access to…

Information Theory · Computer Science 2023-09-07 Ziv Aharoni , Bashar Huleihel , Henry D. Pfister , Haim H. Permuter

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…

Information Theory · Computer Science 2013-04-16 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

We design polar codes for empirical coordination and strong coordination in two-node networks. Our constructions hinge on the fact that polar codes enable explicit low-complexity schemes for soft covering. We leverage this property to…

Information Theory · Computer Science 2018-06-08 Remi A. Chou , Matthieu Bloch , Joerg Kliewer

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…

Information Theory · Computer Science 2016-01-22 David Sutter , Joseph M. Renes , Frédéric Dupuis , Renato Renner

Polar codes are constructed for m-user multiple access channels (MAC) whose input alphabet size is a prime number. The block error probability under successive cancelation decoding decays exponentially with the square root of the block…

Information Theory · Computer Science 2011-12-09 Rajai Nasser

In this paper, we consider the problem of polar coding for block fading channels, with emphasis on those with instantaneous channel state information (CSI) at neither the transmitter nor the receiver. Our approach is to decompose a block…

Information Theory · Computer Science 2017-01-24 Mengfan Zheng , Meixia Tao , Wen Chen , Cong Ling

Polar codes were introduced in 2009 by Arikan as the first efficient encoding and decoding scheme that is capacity achieving for symmetric binary-input memoryless channels. Recently, this code family was extended by replacing the…

Information Theory · Computer Science 2018-05-24 Maxime Tremblay , Benjamin Bourassa , David Poulin

Polar encoding, described by Arikan in IEEE Transactions on Information Theory, Vol. 55, No. 7, July 2009, was a milestone for telecommunications. A Polar code distributes information among high and low-capacity channels, showing the…

Information Theory · Computer Science 2025-07-29 Geraldo A. Barbosa

Polar codes are the first capacity achieving and efficiently implementable codes for classical communication. Recently they have also been generalized to communication over classical-quantum and quantum channels. In this work we present our…

Quantum Physics · Physics 2015-01-16 Christoph Hirche

A rateless coding scheme transmits incrementally more and more coded bits over an unknown channel until all the information bits are decoded reliably by the receiver. We propose a new rateless coding scheme based on polar codes, and we show…

Information Theory · Computer Science 2015-08-14 Bin Li , David Tse , Kai Chen , Hui Shen

The polar transformation of a binary erasure channel (BEC) can be exactly approximated by other BECs. Ar{\i}kan proposed that polar codes for a BEC can be efficiently constructed by using its useful property. This study proposes a new class…

Information Theory · Computer Science 2020-08-24 Yuta Sakai , Ken-ichi Iwata

We study the super dense coding capacity in the presence of quantum channels with correlated noise. We investigate both the cases of unitary and non-unitary encoding. Pauli channels for arbitrary dimensions are treated explicitly. The super…

Quantum Physics · Physics 2011-10-07 Zahra Shadman , Hermann Kampermann , Chiara Macchiavello , Dagmar Bruß

The problem of polar coding for an arbitrary sequence of independent binary-input memoryless symmetric (BMS) channels $\left\{W_i\right\}_{i=1}^{N}$ is considered. The sequence of channels is assumed to be completely known to both the…

Information Theory · Computer Science 2020-08-27 Hessam Mahdavifar

In this paper, we propose a low-complexity, secrecy capacity achieving polar coding scheme for the cognitive interference channel with confidential messages (CICC) under the strong secrecy criterion. Existing polar coding schemes for…

Information Theory · Computer Science 2017-10-30 Mengfan Zheng , Wen Chen , Cong Ling

In this paper, we design polar codes and polar lattices for i.i.d. fading channels when the channel state information is only available to the receiver. For the binary input case, we propose a new design of polar codes through single-stage…

Information Theory · Computer Science 2016-02-08 Ling Liu , Cong Ling

Holevo, Schumacher, and Westmoreland's coding theorem guarantees the existence of codes that are capacity-achieving for the task of sending classical data over a channel with classical inputs and quantum outputs. Although they demonstrated…

Quantum Physics · Physics 2013-01-21 Mark M. Wilde , Saikat Guha

In this work, we investigate the performance of polar codes with the assistance of feedback in communication systems. Although it is well known that feedback does not improve the capacity of memoryless channels, we show that the finite…

Information Theory · Computer Science 2026-04-13 Ling Liu , Qi Cao , Liping Li , Baoming Bai

Being attracted by the property of classical polar code, researchers are trying to find its analogue in quantum fields, which is called quantum polar code. The first step and the key to design quantum polar code is to find out for the…

Quantum Physics · Physics 2022-03-25 Zhengzhong Yi , Zhipeng Liang , Xuan Wang