Distributed remote vector gaussian source coding with covariance distortion constraints

Adel Zahedi, Jan Ostergaard, Soren Holdt Jensen, Patrick Naylor, Soren Bech
2014 2014 IEEE International Symposium on Information Theory  
In this paper, we consider a distributed remote source coding problem, where a sequence of observations of source vectors is available at the encoder. The problem is to specify the optimal rate for encoding the observations subject to a covariance matrix distortion constraint and in the presence of side information at the decoder. For this problem, we derive lower and upper bounds on the rate-distortion function (RDF) for the Gaussian case, which in general do not coincide. We then provide some
more » ... e then provide some cases, where the RDF can be derived exactly. We also show that previous results on specific instances of this problem can be generalized using our results. We finally show that if the distortion measure is the mean squared error, or if it is replaced by a certain mutual information constraint, the optimal rate can be derived from our main result.
doi:10.1109/isit.2014.6874900 dblp:conf/isit/ZahediOJNB14 fatcat:42mu2uuje5gcvhxbfgjn7h36wy