  In this paper, the outage probability and outage-based beam design for
multiple-input multiple-output (MIMO) interference channels are considered.
First, closed-form expressions for the outage probability in MIMO interference
channels are derived under the assumption of Gaussian-distributed channel state
information (CSI) error, and the asymptotic behavior of the outage probability
as a function of several system parameters is examined by using the Chernoff
bound. It is shown that the outage probability decreases exponentially with
respect to the quality of CSI measured by the inverse of the mean square error
of CSI. Second, based on the derived outage probability expressions, an
iterative beam design algorithm for maximizing the sum outage rate is proposed.
Numerical results show that the proposed beam design algorithm yields better
sum outage rate performance than conventional algorithms such as interference
alignment developed under the assumption of perfect CSI.
