On the Achievable Rate Region in the Optimistic Sense for Separate Coding of Two Correlated General Sources

Abstract

This paper is concerned with coding theorems in the optimistic sense for separate coding of two correlated general sources X₁ and X₂. We investigate the achievable rate region R_topt(X₁,X₂) such that the decoding error probability caused by two encoders and one decoder can be arbitrarily small infinitely often under a certain rate constraint. We give an inner and an outer bounds of R_topt(X₁,X₂), where the outer bound is described by using new information-theoretic quantities. We also give two simple sufficient conditions under which the inner bound coincides with the outer bound.