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Related papers: Polar Coding for Parallel Gaussian Channel

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We provide a generalization of quantum polar codes to quantum channels with qudit-input, achieving the symmetric coherent information of the channel. Our scheme relies on a channel combining and splitting construction, where a two-qudit…

Quantum Physics · Physics 2025-03-12 Ashutosh Goswami , Mehdi Mhalla , Valentin Savin

We consider the problem of polar coding for transmission over $m$-user multiple access channels. In the proposed scheme, all users encode their messages using a polar encoder, while a joint successive cancellation decoder is deployed at the…

Information Theory · Computer Science 2016-11-17 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

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…

Information Theory · Computer Science 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

We present a method of constructing rate-compatible polar codes that are capacity-achieving with low-complexity sequential decoders. The proposed code construction allows for incremental retransmissions at different rates in order to adapt…

Information Theory · Computer Science 2016-01-29 Song-Nam Hong , Dennis Hui , Ivana Marić

A coding scheme is proposed for the memoryless Gaussian broadcast channel with correlated noises and feedback. For all noise correlations other than -1, the gap between the sum-rate the scheme achieves and the full-cooperation bound…

Information Theory · Computer Science 2015-03-13 Michael Gastpar , Amos Lapidoth , Yossef Steinberg , Michele Wigger

In this work, an explicit wiretap coding scheme based on polar lattices is proposed to achieve the secrecy capacity of the additive white Gaussian noise (AWGN) wiretap channel. Firstly, polar lattices are used to construct secrecy-good…

Information Theory · Computer Science 2017-12-27 Ling Liu , Yanfei Yan , Cong Ling

We construct a joint coordination-channel polar coding scheme for strong coordination of actions between two agents $\mathsf X$ and $\mathsf Y$, which communicate over a discrete memoryless channel (DMC) such that the joint distribution of…

Information Theory · Computer Science 2018-08-16 Sarah A. Obead , Jörg Kliewer , Badri N. Vellambi

Scalar quantization and probabilistic shaping are applied to the distributed source coding of Gaussian sources, with mean-square error distortion. A coding scheme with a modulo interval, dithering, and truncated Gaussian shaping is shown to…

Information Theory · Computer Science 2026-04-21 Muhammed Yusuf Sener , Gerhard Kramer , Shlomo Shamai , Ronald Böhnke , Wen Xu

Ar{\i}kan's polar coding, is by now a well studied technique that allows achieving the symmetric capacity of binary input memoryless channels with low complexity encoding and decoding, provided that the polar decoding architecture is used…

Information Theory · Computer Science 2018-05-08 Mine Alsan

In this paper, we propose a coding scheme based on polar codes for empirical coordination of autonomous devices. We consider a two-node network with a noisy link in which the input and output signals have to be coordinated with the source…

Information Theory · Computer Science 2018-02-28 Giulia Cervia , Laura Luzzi , Maël Le Treust , Matthieu R. Bloch

We consider the problem of distributed joint source-channel coding of correlated Gaussian sources over a Gaussian Multiple Access Channel (GMAC). There may be side information at the decoder and/or at the encoders. First we specialize a…

Information Theory · Computer Science 2009-05-15 R Rajesh , Vinod Sharma

In a cooperative coding scheme, network nodes work together to achieve higher transmission rates. To obtain a better understanding of cooperation, we consider a model in which two transmitters send rate-limited descriptions of their…

Information Theory · Computer Science 2015-04-20 Parham Noorzad , Michelle Effros , Michael Langberg

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…

Information Theory · Computer Science 2023-01-09 Ziyuan Zhu , Wei Wu , Paul H. Siegel

A framework is proposed that allows for a joint description and optimization of both binary polar coding and the multilevel coding (MLC) approach for $2^m$-ary digital pulse-amplitude modulation (PAM). The conceptual equivalence of polar…

Information Theory · Computer Science 2016-11-17 Mathis Seidl , Andreas Schenk , Clemens Stierstorfer , Johannes B. Huber

Similar to existing codes, puncturing and shortening are two general ways to obtain an arbitrary code length and code rate for polar codes. When some of the coded bits are punctured or shortened, it is equivalent to a situation in which the…

Information Theory · Computer Science 2019-10-23 Wei Song , Yifei Shen , Liping Li , Kai Niu , Chuan Zhang

In this paper, we propose a new coding scheme for symmetric Gaussian interference channels with feedback based on the ideas of time-varying coding schemes. The proposed scheme improves the Suh-Tse and Kramer inner bounds of the channel…

Information Theory · Computer Science 2016-11-17 Lan V. Truong , Hirosuke Yamamoto

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

We present a comparative study of the performance of various polar code constructions in an additive white Gaussian noise (AWGN) channel. A polar code construction is any algorithm that selects $K$ best among $N$ possible polar bit-channels…

Information Theory · Computer Science 2015-01-13 Harish Vangala , Emanuele Viterbo , Yi Hong

Research on polar codes has been constantly gaining attention over the last decade, by academia and industry alike, thanks to their capacity-achieving error-correction performance and low-complexity decoding algorithms. Recently, they have…

Information Theory · Computer Science 2020-06-25 Carlo Condo , Valerio Bioglio , Ingmar Land

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