A Wyner Ziv Codec Based on Equalization at the Decoder∗

In this paper we consider the problem of lossy coding of correlated vector sources with uncoded side information available at the decoder. In particular, we consider lossy coding of source x ∈ R which is correlated with source y ∈ R , known at the decoder. The general non-linear mapping between y and x capturing the correlation between the two sources can be approximated through a linear model y = Hx+n in which n is independent of x. This model can be viewed as a fictitious communication channel with input x and output y. Utilizing a powerful signal processing technique, namely channel equalization, we convert the original vector source coding problem into a set of manageable scalar source coding problems. The scalar source coding problems can be solved using the existing distributed source coding algorithms that are primarily designed for the simple correlation model y = x + n where x and y are scalar jointly Gaussian sources.