Minimax Robust Waveform Design for MIMO Radar in the Presence of PSD Uncertainties

In this paper, we consider the problem of mini-max robust waveform design for multiple-input multiple-output (MIMO) radar based on mutual information (MI) and minimum mean square error (MMSE) estimation for target identification and classification. Recognizing that a single, precise characterization of target power spectral density (PSD) is rare in practice, we assume the PSD lies in an uncertainty class of spectra bounded by known upper and lower bounds, which markedly relaxes the required target a priori knowledge. Based on this band model, we develop minimax robust waveforms for MIMO radar under both MMSE and MI criteria. These robust waveforms bound the worst-case performance at an acceptable limit, and also could insure performance will be sufficiently good for any PSD in the uncertainty class. Our findings also indicate that the MI and MMSE criteria lead to a different minimax robust waveform solutions, which is in contrast to the case of the perfectly known target PSD.

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