Diversity gain region for MIMO fading broadcast channels

In this work, we introduce the notion of the diversity gain region for a multiuser channel. This region specifies the set of diversity-gain vectors that are simultaneously achievable by all users in the multiuser channel. This is done by associating different probabilities of error for different users, contrary to the traditional approach where a single probability of system error is considered. We derive an inner bound (achievable region) and an outer bound for the diversity gain region of a MIMO fading broadcast channel.