Rate-distortion bounds for Wyner-Ziv coding with Gaussian scale mixture correlation noise

Abstract : The objective of this work is the characterization of the Wyner-Ziv rate-distortion function for memoryless continuous sources, when the correlation between the sources is modeled via an additive noise channel. Modeling the distribution of the correlation noise via a Gaussian mixture, with discrete or continuous mixing variable, provides a unified signal model able to describe a wide class of distributions, useful in the context of practical applications. The Wyner-Ziv rate-distortion function associated with this signal model cannot, in general, be obtained in analytical form. This work contributes a method for its analysis, by providing computable upper and lower bounds.
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Francesca Bassi, Aurélia Fraysse, Elsa Dupraz, Michel Kieffer. Rate-distortion bounds for Wyner-Ziv coding with Gaussian scale mixture correlation noise. IEEE Transaction on Information Theory, 2014, 60 (12), pp.7540-7546. ⟨10.1109/tit.2014.2363077 ⟩. ⟨hal-01073664⟩

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