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Lossy source coding with Gaussian or erased side-information

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3 Author(s)
Perron, E. ; EPFL, Lausanne, Switzerland ; Diggavi, S. ; Telatar, I.E.

In this paper we find properties that are shared between two seemingly unrelated lossy source coding setups with side-information. The first setup is when the source and side-information are jointly Gaussian and the distortion measure is quadratic. The second setup is when the side-information is an erased version of the source. We begin with the observation that in both these cases the Wyner-Ziv and conditional rate-distortion functions are equal. We further find that there is a continuum of optimal strategies for the conditional rate distortion problem in both these setups. Next, we consider the case when there are two decoders with access to different side-information sources. For the case when the encoder has access to the side-information we establish bounds on the rate-distortion function and a sufficient condition for tightness. Under this condition, we find a characterization of the rate-distortion function for physically degraded side-information. This characterization holds for both the Gaussian and erasure setups.

Published in:

Information Theory, 2009. ISIT 2009. IEEE International Symposium on

Date of Conference:

June 28 2009-July 3 2009