2023/05/17 by Stavrou, Photios A., Shkel, Yanina, Kountouris, Marios · 1 citation
#68P30 #94A15 #94A17 #94A34 #FOS: Computer and information sciences #G.3 #H.1.1 #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2305.10549
We consider a remote source coding problem subject to a distortion function. 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 f-separable 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 f-separable 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.