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

Francesca Bassi (1) , Aurélia Fraysse (1) , Elsa Dupraz (1) , Michel Kieffer (1)

1 L2S - Laboratoire des signaux et systèmes

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.

Domaines: Théorie de l'information et codage [math.IT]; Théorie de l'information [cs.IT]

Francesca Bassi, Aurélia Fraysse, Elsa Dupraz, Michel Kieffer. Rate-distortion bounds for Wyner-Ziv coding with Gaussian scale mixture correlation noise. IEEE Transactions on Information Theory, 2014, 60 (12), pp.7540-7546. ⟨10.1109/tit.2014.2363077⟩. ⟨hal-01073664⟩