Cut-set bound is loose for Gaussian relay networks

X Wu, A Özgür - IEEE Transactions on Information Theory, 2017 - ieeexplore.ieee.org
The cut-set bound developed by Cover and El Gamal in 1979 has since remained the best
known upper bound on the capacity of the Gaussian relay channel. We develop a new …

Outer bounds for multiuser settings: The auxiliary receiver approach

A Gohari, C Nair - IEEE Transactions on Information Theory, 2021 - ieeexplore.ieee.org
This paper employs auxiliary receivers as a mathematical tool to identify Gallager-type
auxiliary random variables and write outer bounds for some basic multiuser settings. This …

Improving on the cut-set bound via geometric analysis of typical sets

X Wu, A Özgür, LL Xie - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
We consider the discrete memoryless symmetric primitive relay channel, where, a source
wants to send information to a destination with the help of a relay and the relay can …

A new coding paradigm for the primitive relay channel

M Mondelli, SH Hassani, R Urbanke - Algorithms, 2019 - mdpi.com
We consider the primitive relay channel, where the source sends a message to the relay and
to the destination, and the relay helps the communication by transmitting an additional …

Capacity upper bounds for the relay channel via reverse hypercontractivity

J Liu, A Özgür - IEEE Transactions on Information Theory, 2020 - ieeexplore.ieee.org
We revisit the primitive relay channel, introduced by Cover in 1987. Recent work derived
upper bounds on the capacity of this channel that are tighter than the classical cutset bound …

New upper bounds on the capacity of primitive diamond relay channels

X Wu, A Ozgur, M Peleg, SS Shitz - 2019 IEEE Information …, 2019 - ieeexplore.ieee.org
Consider a primitive diamond relay channel, where a source X wants to send information to
a destination with the help of two relays Y 1 and Y 2, and the two relays can communicate to …

Distributed information bottleneck for a primitive Gaussian diamond MIMO channel

Y Song, H Xu, KK Wong, G Caire… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
This paper considers the distributed information bottleneck (D-IB) problem for a primitive
Gaussian diamond channel with two relays and MIMO Rayleigh fading. The channel state is …

Improving on the cut-set bound for general primitive relay channels

X Wu, A Özgür - 2016 IEEE International Symposium on …, 2016 - ieeexplore.ieee.org
Consider a primitive relay channel, where, a source X wants to send information to a
destination Y with the help of a relay Z and the relay can communicate to the destination via …

New converses for the relay channel via reverse hypercontractivity

J Liu, A Ozgur - 2019 IEEE International Symposium on …, 2019 - ieeexplore.ieee.org
We revisit the primitive relay channel, introduced by Cover in 1987. Previously, the cut-set
bound was shown to be loose for the primitive relay channel, in the discrete memoryless and …

Katalin Marton's Lasting Legacy

A El Gamal, RM Gray - IEEE BITS the Information Theory …, 2022 - ieeexplore.ieee.org
Katalin Marton's Lasting Legacy Page 1 1 Katalin Marton’s Lasting Legacy Abbas El
Gamal∗ and Robert M. Gray† I. INTRODUCTION Katalin Marton (December 9, 1941 …