Vector Gaussian multiple description coding with individual and central distortion constraints

We characterize the rate region of vector Gaussian multiple description coding with individual and central covariance distortion constraints. Specifically, we derive a lower bound and an upper bound for each supporting hyperplane of the rate region and show that these two bounds coincide. The rate region of vector Gaussian multiple description coding with individual and central trace distortion constraints as well as its extension to the stationary Gaussian process setup is also characterized.