A closed-form expression for false alarm rate of adaptive MIMO-GLRT detector with distributed MIMO radar

In this paper, we consider the detection problem in Gaussian noise using a multiple-input-multiple-output (MIMO) radar with spatially dispersed antennas. A MIMO version of generalized likelihood ratio test detector is provided, which is referred to as MIMO-GLRT detector. A closed-form expression for the probability of false alarm of this MIMO-GLRT detector is derived. This theoretical result is confirmed with Monte Carlo simulations.