Rate Region of Gaussian Multiple Description Coding with Individual and Central Distortion Constraints

The rate region of Gaussian multiple description coding with individual and central distortion constraints is completely characterized. Specifically, a lower bound and an upper bound are derived for each supporting hyperplane of the rate region, where the lower bound is associated with a max-min game while the upper bound is associated with a min-max game; furthermore, it is shown that these two bounds coincide due to the existence of a saddle point.