| Paper ID | D6-S3-T2.3 |
| Paper Title |
Structural Properties of Test Channels of the RDF for Gaussian Multivariate Distributed Sources |
| Authors |
Michail Gkagkos, Texas A&M University, United States; Charalambos Charalambous, University of Cyprus, Cyprus |
| Session |
D6-S3-T2: Rate-Distortion Theory I |
| Chaired Session: |
Monday, 19 July, 22:40 - 23:00 |
| Engagement Session: |
Monday, 19 July, 23:00 - 23:20 |
| Abstract |
In this paper, we consider Wyner's lossy distributed source coding problem, for multivariate Gaussian distributed sources with square-error fidelity, when i) the side information random variable (RV) Y, is available at the decoder only, and ii) Y is available at both the encoder and the decoder. We derive structural properties of optimal test channels that achieve the operational information rate distortion functions (RDFs) for i) and ii). We also show there is no loss of compression if the side information Y is only available at the decoder. This paper also shows that the two test channels of the RDF of the distributed remote source coding problem given in the literature, do not generate Wyner's value of the RDF of scalar RVs, as one would expect; this observation implies
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