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 dependence of the rate distortion function of such a source on the covariance structure of its i.i.d. vectors is studied. In particular a lower bound of the rate distortion function is given, expressed only in terms of the known variances, and it is shown to be tighter than the Sahnnon lower bound over a certain distortion region.