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Joint Nonanticipative Rate Distortion Function for a Tuple of Random Processes with Individual Fidelity Criteria [article]

Charalambos D. Charalambous, Evagoras Stylianou
2021 arXiv   pre-print
The joint nonanticipative rate distortion function (NRDF) for a tuple of random processes with individual fidelity criteria is considered.  ...  Further, for the application example of the joint NRDF of a tuple of jointly multivariate Gaussian Markov processes with individual square-error fidelity criteria, a realization of the reproduction processes  ...  CONCLUSIONS AND OPEN PROBLEMS The joint nonanticpative RDF is analyzed for a tuple of random process with individual fidelity criteria.  ... 
arXiv:2103.15925v1 fatcat:6oeo65hbc5fjxdikkzwlju6usa

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

Evagoras Stylianou, Charalambos D. Charalambous, Themistoklis Charalambous
2021 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  ...  rate equal to the joint RDF with two individual distortion functions.  ...  Problem Formulation 1) The Joint RDF with Individual Distortion Functions: This paper is concerned with the joint RDF of a tuple of RVs taking values in abstract spaces (i.e., continuous-valued RVs), X  ... 
doi:10.1109/isit45174.2021.9518279 fatcat:xnr7qkf2ingffl33y6znbrawv4

Joint Rate Distortion Function of a Tuple of Correlated Multivariate Gaussian Sources with Individual Fidelity Criteria [article]

Evagoras Stylianou, Charalambos D. Charalambous, Themistoklis Charalambous
2021 arXiv   pre-print
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  ...  Second, we consider a tuple of correlated multivariate jointly Gaussian RVs, X_1 : Ω→ℝ^p_1, X_2 : Ω→ℝ^p_2 with two square-error fidelity criteria, and we derive additional structural properties of the  ...  Problem Formulation 1) The Joint RDF with Individual Distortion Functions: This paper is concerned with the joint RDF of a tuple of RVs taking values in abstract spaces (i.e., continuous-valued RVs), X  ... 
arXiv:2102.07236v2 fatcat:g3sysxxcafh2dp5syqtxd77tde