  A joint robust transmit/receive adaptive beamforming for multiple-input
multipleoutput (MIMO) radar based on probability-constrained optimization
approach is developed in the case of Gaussian and arbitrary distributed
mismatch present in both the transmit and receive signal steering vectors. A
tight lower bound of the probability constraint is also derived by using
duality theory. The formulated probability-constrained robust beamforming
problem is nonconvex and NP-hard. However, we reformulate its cost function
into a bi-quadratic function while the probability constraint splits into
transmit and receive parts. Then, a block coordinate descent method based on
second-order cone programming is developed to address the biconvex problem.
Simulation results show an improved robustness of the proposed beamforming
method as compared to the worst-case and other existing state-of-the-art joint
transmit/receive robust adaptive beamforming methods for MIMO radar.
