On the Rate Distortion Function of a Memoryless Gaussian Vector Source Whose Components Have Fixed Variances.

摘要

Consider a memoryless Gaussian vector source and assume that the variances of the components of its i.i.d. vectors are known and that no further information on their covariance structure is available. The authors study the dependence of the rate distortion function of such a source on the covariance structure of its i.i.d. vectors. In particular the authors give upper and lower bounds of the rate distortion function, both expressed only in terms of the known variances, and they show that the lower bound is tighter than the Shannon lower bound over a certain distortion region.