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conference paper

A Discretization Approach to Compute-Forward

Pastore, Adriano  
•
Lim, Sung Hoon  
•
Feng, Chen  
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January 1, 2021
2021 Ieee International Symposium On Information Theory (Isit)
IEEE International Symposium on Information Theory (ISIT)

We present a novel unified framework of compute- forward achievable rate regions for simultaneous decoding of multiple linear codeword combinations. This framework covers a wide class of discrete and continuous-input channels, and computation over finite fields, integers, and reals. The resulting rate regions recover several well-known achievability results, and in some cases extend them. The framework is built upon a recently established achievable rate region based on linear codes and joint typicality decoding. The latter is extended from finite fields to computation over the integers and, via a discretization approach, to computation over the reals with integer coefficients and continuous inputs. Evaluating the latter with Gaussian distributions, we obtain a closed-form rate region which generalizes the classic compute-forward rates originally derived by means of lattice codes by Nazer and Gastpar.

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Type
conference paper
DOI
10.1109/ISIT45174.2021.9518259
Web of Science ID

WOS:000701502202051

Author(s)
Pastore, Adriano  
•
Lim, Sung Hoon  
•
Feng, Chen  
•
Nazer, Bobak
•
Gastpar, Michael  
Date Issued

2021-01-01

Publisher

IEEE

Publisher place

New York

Published in
2021 Ieee International Symposium On Information Theory (Isit)
ISBN of the book

978-1-5386-8209-8

Series title/Series vol.

IEEE International Symposium on Information Theory

Start page

2208

End page

2213

Subjects

Computer Science, Theory & Methods

•

Engineering, Electrical & Electronic

•

Computer Science

•

Engineering

•

achievable rate region

•

channel

•

interference

Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
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Event nameEvent placeEvent date
IEEE International Symposium on Information Theory (ISIT)

ELECTR NETWORK

Jul 12-20, 2021

Available on Infoscience
November 6, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/182862
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