Outer Bounds for Multiuser Settings: The Auxiliary Receiver Approach

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 approach is then applied to the relay, interference, and broadcast channel settings, yielding new outer bounds that improv...

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Bibliographic Details
Published inIEEE transactions on information theory Vol. 68; no. 2; pp. 701 - 736
Main Authors Gohari, Amin, Nair, Chandra
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Auxiliary receivers
broadcast channel
capacity region
Codes
Interference
interference channel
Markov processes
Mathematical analysis
Maximum security institutions
Random variables
Receivers
Relay
relay channel
Relays
Upper bound
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Summary: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 approach is then applied to the relay, interference, and broadcast channel settings, yielding new outer bounds that improve on existing outer bounds and strictly outperform classical outer bounds. For instance, we strictly improve on: the cutset outer bound for the scalar Gaussian relay channel, the outer bounds for the Gaussian Z-interference channel, and the outer bounds for the two receiver broadcast channel.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2021.3128136