Shannon Bounds on Lossy Gray-Wyner Networks

The Gray-Wyner network subject to a fidelity criterion is studied. Upper and lower bounds for the trade-offs between the private sum-rate and the common rate are obtained for arbitrary sources subject to mean-squared error distortion. The bounds meet exactly, leading to the computation of the rate r...

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Bibliographic Details
Published in:arXiv.org 2022-02
Main Authors: Sula, Erixhen, Gastpar, Michael
Format: Article
Language:English
Subjects:
Distortion
Lower bounds
Online Access:Get full text
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Summary:The Gray-Wyner network subject to a fidelity criterion is studied. Upper and lower bounds for the trade-offs between the private sum-rate and the common rate are obtained for arbitrary sources subject to mean-squared error distortion. The bounds meet exactly, leading to the computation of the rate region, when the source is jointly Gaussian. They meet partially when the sources are modeled via an additive Gaussian "channel". The bounds are inspired from the Shannon bounds on the rate-distortion problem.
ISSN:2331-8422