Joint Nonanticipative Rate Distortion Function for a Tuple of Random\n Processes with Individual Fidelity Criteria

2021/03/29 by Charalambos D. Charalambous, Charalambous, Charalambos D., Evagoras Stylianou +1 · 1 citation
Engineering · #FOS: Computer and information sciences #FOS: Electrical engineering #Fault Detection and Control Systems #Information Theory (cs.IT) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2103.15925

openalex publication_date 2021/03/29 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

The joint nonanticipative rate distortion function (NRDF) for a tuple of\nrandom processes with individual fidelity criteria is considered. Structural\nproperties of optimal test channel distributions are derived. Further, for the\napplication example of the joint NRDF of a tuple of jointly multivariate\nGaussian Markov processes with individual square-error fidelity criteria, a\nrealization of the reproduction processes which induces the optimal test\nchannel distribution is derived, and the corresponding joint NRDF is\ncharacterized. The analysis of the simplest example, of a tuple of scalar\ncorrelated Markov processes, illustrates many of the challenging aspects of\nsuch problems.\n

Cited by

• Implicit and Explicit Formulas of the Joint RDF for a Tuple of Multivariate Gaussian Sources with Individual Square-Error Distortions

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