  Advancing over up-to-date information theoretic results that assume symmetric
correlation models, in this work we consider the problem of lossy binary source
coding with side information, where the correlation is expressed by a generic
binary asymmetric channel. Specifically, we present an in-depth analysis of
rate distortion with side information available to both the encoder and decoder
(conventional predictive), as well as the Wyner-Ziv problem for this particular
setup. Prompted by our recent results for the Z-channel correlation case, we
evaluate the rate loss between the Wyner-Ziv and the conventional predictive
coding, as a function of the parameters of the binary asymmetric correlation
channel.
