A joint robust transmit/receive adaptive beamforming for multiple-inputmultipleoutput (MIMO) radar based on probability-constrained optimizationapproach is developed in the case of Gaussian and arbitrary distributedmismatch present in both the transmit and receive signal steering vectors. Atight lower bound of the probability constraint is also derived by usingduality theory. The formulated probability-constrained robust beamformingproblem is nonconvex and NP-hard. However, we reformulate its cost functioninto a bi-quadratic function while the probability constraint splits intotransmit and receive parts. Then, a block coordinate descent method based onsecond-order cone programming is developed to address the biconvex problem.Simulation results show an improved robustness of the proposed beamformingmethod as compared to the worst-case and other existing state-of-the-art jointtransmit/receive robust adaptive beamforming methods for MIMO radar.
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