In order to solve the problem of performance losses in the MIMO radar waveform design when target signal is uncertainty, a novel joint optimization of transmitting waveforms and receiving filters in the MIMO radar for the case of target in flat ellipsoid uncertainty set is proposed. Firstly, constraint of impulse response of target is extended to flat ellipsoid uncertainty set, Lagrange multiplier is used to solve the optimization problem, and the closed form solution is got under the constrain. Secondly, in order to improve SINR output of waveform design when the uncertainty set is large, Iterative Robust Minimum Variance Beamforming (IRMVB) is used to get more precise target impulse response. Thirdly, the relationship between flat ellipsoid uncertainty set and sphere uncertainty set is analyzed, and a solution which has the form of diagonal loading is derived. Finally, simulation results show that the proposed algorithm has excellent performance and it is robust for the uncertainty of impulse response of the target.
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