A semi-continuous version of the Berger-Yeung problem

We present a continuous dual of multiterminal source encoding with one distortion criterion (the \Berger-Yeung problem"). A continuous source X is encoded with \high resolution" (D x ! 0), with the aid of a \helper", i.e., a correlated discrete or continuous source Y , that is encoded separately subject to some arbitrary distortion criterion D y. We nd the asymptotic form of the set of achievable coding rates R(D x ; D y) of the X-and Y-encoders as D x ! 0. Two extreme cases of our result provide high resolution interpretations to the classical work of Wyner, Ahlswede, Korner and Ziv on source coding with side information.