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This paper presents the novel application of Polarized Modulation (PMod) for increasing the throughput in mobile satellite transmissions. One of the major drawbacks in mobile satellite communications is the fact that the power budget is…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Pol Henarejos , Ana I. Pérez-Neira

This paper presents the first proof of polarization for the deletion channel with a constant deletion rate and a regular hidden-Markov input distribution. A key part of this work involves representing the deletion channel using a trellis…

Information Theory · Computer Science 2020-07-24 Ido Tal , Henry D. Pfister , Arman Fazeli , Alexander Vardy

This paper proposes the design of polar and convolutional coset codes for the unequal message protection (UMP) in the short blocklength regime, to overcome the rate loss introduced by preamble-based solutions. After providing conditions to…

Information Theory · Computer Science 2026-04-21 Alexander Sauter , Riccardo Schiavone , Lucía Balsa Picado , Gianluigi Liva

Polar codes are the first class of constructive channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels. But the corresponding code length is limited to the power of two. In this paper, we establish a…

Information Theory · Computer Science 2017-12-05 Kai Niu , Jincheng Dai , Kai Chen , Jiaru Lin , Q. T. Zhang , Athanasios V. Vasilakos

In this paper, we first propose an universal polar coding scheme for parallel Gaussian channels with non-binary inputs. It is assumed that the encoder knows only the sum capacity of M parallel channels instead of the capacity of any single…

Information Theory · Computer Science 2022-06-03 Bin Li , Jiaqi Gu , Huazi Zhang

Visible light communications (VLC) in indoor environments suffer from the limited bandwidth of LEDs as well as from the inter-symbol interference (ISI) imposed by multipath. In this work, transmission schemes to improve the performance of…

Information Theory · Computer Science 2023-07-19 Mohammad Noshad , Maite Brandt-Pearce

A numerical scheme is described for accurately accommodating oblique, non-aligned, boundaries, on a three-dimensional cartesian grid. The scheme gives second-order accuracy in the solution for potential of Poisson's equation using compact…

Computational Physics · Physics 2011-05-09 Ian H Hutchinson

We survey the known list decoding algorithms for polar codes and compare their complexity. Index terms: Polar codes; Reed-Muller codes; successive cancellation decoding.

Information Theory · Computer Science 2017-03-20 Ilya Dumer

The definition of polar codes given by Arikan is explicit, but the construction complexity is an issue. This is due to the exponential growth in the size of the output alphabet of the bit-channels as the codeword length increases. Tal and…

Information Theory · Computer Science 2013-05-29 Arash Ghayoori , T. Aaron Gulliver

The recently-discovered polar codes are widely seen as a major breakthrough in coding theory. These codes achieve the capacity of many important channels under successive cancellation decoding. Motivated by the rapid progress in the theory…

Hardware Architecture · Computer Science 2015-03-17 Camille Leroux , Ido Tal , Alexander Vardy , Warren J. Gross

The general subject considered in this thesis is a recently discovered coding technique, polar coding, which is used to construct a class of error correction codes with unique properties. In his ground-breaking work, Ar{\i}kan proved that…

Information Theory · Computer Science 2014-12-16 Mine Alsan

Good quantum error-correcting codes that fulfill practical considerations, such as simple encoding circuits and efficient decoders, are essential for functional quantum information processing systems. Quantum polar codes satisfy some of…

Quantum Physics · Physics 2025-06-09 Keita Hidaka , Dina Abdelhadi , Ruediger Urbanke

Polar codes with memory (PCM) are proposed in this paper: a pair of consecutive code blocks containing a controlled number of mutual information bits. The shared mutual information bits of the succeeded block can help the failed block to…

Information Theory · Computer Science 2019-07-02 Wenyue Zhou , Qiang Liu , Yifei Shen , Xiaofeng Zhou , Chuan Zhang , Yaohua Xu , Liping Li

A method for efficiently constructing polar codes is presented and analyzed. Although polar codes are explicitly defined, straightforward construction is intractable since the resulting polar bit-channels have an output alphabet that grows…

Information Theory · Computer Science 2013-04-11 Ido Tal , Alexander Vardy

Polar codes has been selected as the channel coding scheme for 5G new radio (NR) control channel. Specifically, a special type of parity-check polar (PC-Polar) codes was adopted in uplink control information (UCI). In this paper, we propose…

Information Theory · Computer Science 2020-07-03 Jiajie Tong , Huazi Zhang , Xianbin Wang , Shengchen Dai , Rong Li , Jun Wang

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…

Information Theory · Computer Science 2023-08-08 Geon Choi , Namyoon Lee

Spatial light modulators are versatile devices employed in a vast range of applications to modify the transverse phase or amplitude profile of an incident light beam. Most experiments are designed to use a specific polarization which…

Quantum Physics · Physics 2014-05-06 G. Barreto Lemos , J. O. de Almeida , S. P. Walborn , P. H. Souto Ribeiro , M. Hor-Meyll

Polar codes are the first class of channel codes achieving the symmetric capacity of the binary-input discrete memoryless channels with efficient encoding and decoding algorithms. But the weight spectrum of Polar codes is relatively poor…

Information Theory · Computer Science 2021-04-20 Yuan Li , Huazi Zhang , Rong Li , Jun Wang , Guiying Yan , Zhiming Ma

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…

Information Theory · Computer Science 2017-12-14 Zhuo Li , Lijuan Xing , Ba-Zhong Shen

In the communication scenario, we consider the problem of the discrimination between the signals of the Quantum Pulse Position Modulation. We propose a receiver scheme that employs repeated local measurements in distinct temporal slots…

Quantum Physics · Physics 2014-07-21 Nicola Dalla Pozza , Nicola Laurenti
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