# Joint Rate Distortion Function of a Tuple of Correlated Multivariate Gaussian Sources with Individual Fidelity Criteria

@article{Stylianou2021JointRD,
title={Joint Rate Distortion Function of a Tuple of Correlated Multivariate Gaussian Sources with Individual Fidelity Criteria},
author={Evagoras Stylianou and Charalambos D. Charalambous and Themistoklis Charalambous},
journal={2021 IEEE International Symposium on Information Theory (ISIT)},
year={2021},
pages={2167-2172}
}
• Published 15 February 2021
• Computer Science
• 2021 IEEE International Symposium on Information Theory (ISIT)
In this paper we analyze the joint rate distortion function (RDF), for a tuple of correlated sources taking values in abstract alphabet spaces (i.e., continuous) subject to two individual distortion criteria. First, we derive structural properties of the realizations of the reproduction Random Variables (RVs), which induce the corresponding optimal test channel distributions of the joint RDF. Second, we consider a tuple of correlated multivariate jointly Gaussian RVs, $X_{1}:\Omega\rightarrow… 3 Citations ## Figures from this paper Joint Nonanticipative Rate Distortion Function for a Tuple of Random Processes with Individual Fidelity Criteria • Computer Science 2021 60th IEEE Conference on Decision and Control (CDC) • 2021 The joint nonanticipative rate distortion function (NRDF) for a tuple of random processes with individual fidelity criteria is considered. Structural properties of optimal test channel distributions Characterization of the Gray-Wyner Rate Region for Multivariate Gaussian Sources: Optimality of Gaussian Auxiliary RV • Computer Science ArXiv • 2022 The paper includes the characterization of the Pangloss plane of the Gray-Wyner rate region along with the characterizations of the corresponding rate distortion functions, their test-channel distributions, and structural properties of the realizations which induce these distributions. A Rate Distortion Approach to Goal-Oriented Communication • Computer Science • 2022 A variant of a robust description source coding framework motivated by goal-oriented semantic information transmission is studied here and a general result is proved that provides in parametric form the various cases of optimal solutions of this problem. ## References SHOWING 1-10 OF 12 REFERENCES Characterization of Conditional Independence and Weak Realizations of Multivariate Gaussian Random Variables: Applications to Networks • Computer Science, Mathematics 2020 IEEE International Symposium on Information Theory (ISIT) • 2020 The Gray and Wyner source coding problem for joint decoding with mean-square error distortions and the methods are of fundamental importance to other problems of multi-user communication, where conditional independence is imposed as a constraint. A New Approach to Lossy Network Compression of a Tuple of Correlated Multivariate Gaussian RVs • Computer Science ArXiv • 2019 The classical Gray and Wyner source coding for a simple network for sources that generate a tuple of multivariate, correlated Gaussian random variables$(Y_1,Y_2)\$ is re-examined using the geometric
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