On source coding with side information for general distortion measures

High resolution bounds in lossy coding of a real memoryless source are derived when side information is present. We consider locally quadratic distortion measures which may be functions of the side information and give asymptotically tight bounds on the conditional rate-distortion function R_X|Y(D) (the side information is available at both the encoder and the decoder) and on the Wyner-Ziv rate-distortion function R^WZ(D) (the side information is only available at the decoder). The rate loss R^WZ(D)-R_X|Y (D) is also investigated