1 Department of Electronic Systems, The Faculty of Engineering and Science, Aalborg University, VBN2 The Faculty of Engineering and Science, Aalborg University, VBN3 Signal and Information Processing, The Faculty of Engineering and Science, Aalborg University, VBN4 Imperial College London5 Imperial College London
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 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.
Proceedings (ieee International Symposium on Information Theory, 2014, p. 586-590
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I E E E International Symposium on Information Theory. Proceedings
2014 IEEE International Symposium on Information Theory, 2014