The Capacity of a Vector Gaussian Arbitrarily Varying Channel

Abstract-The random coding capacity of a vector Gaussian arbitrarily varying channel (VGAVC) is determined, along with a simple general method for computing this capacity. The VGAVC is a discrete-time memoryless vector channel with an input power constraint and additive Gaussian noise that is further corrupted by an additive “jamming signal.” The statistics of this jamming signal are unknown and may be arbitrary subject only to a power constraint. I