Bounds on the achievable region for certain multiple description coding problems

Abstract | An achievable region for the L-channel multiple description coding problem is presented. This region generalizes previous two-channel results of El Gamal and Cover and of Zhang and Berger. New outer bounds on the rate distortion region for memo-ryless Gaussian sources with mean-squared error dis-tortion are also derived. For the Gaussian source, the achievable region meets the outer bound at certain points. I. Problem Description Consider a source that emits a sequence XN = X(1); X(2); : : : ; X(N) of N independent and identically dis-tributed (i.i.d.) random variables. XN is encoded into