ISIT 2023, IEEE International Symposium on Information Theory, 25-30 June 2023, Taipei, Taiwan
We consider a remote source coding problem subject to a distortion fidelity. Contrary to the use of the classical separable distortion criterion, herein we consider the more general,
f-separable distortion measure and study its implications on the characterization of the minimum achievable rates (also called fseparable indirect rate distortion function (iRDF)) under both excess and average distortion constraints. First, we provide a single-letter characterization of the optimal rates subject to an excess distortion using properties of the f-separable distortion. Our main result is a single-letter characterization of the fseparable
iRDF subject to an average distortion constraint. As a consequence of the previous results, we also show a series of equalities that hold using either indirect or classical RDF under
f-separable excess or average distortions. We corroborate our results with two application examples in which new closed-form solutions are derived, and based on these, we also recover known special cases.
Type:
Conference
City:
Taipei
Date:
2023-06-25
Department:
Communication systems
Eurecom Ref:
7260
Copyright:
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