It has been shown that in colocated multi-input multi-output (MIMO) radar systems the sparsity of targets in the illuminated space can be exploited by compressive sensing (CS) techniques to achieve either the same localization performance as traditional methods but with significantly fewer measurements, or significantly improved performance with the same number of measurements. In the colocated CS-based MIMO radar context, this paper proposes a power allocation scheme that distributes the system total transmit power among the transmit antennas in an optimal fashion that leads to improved detection performance. In particular, the allocation scheme minimizes the coherence between the target returns from different search cells, or equivalently, the coherence of the columns of the sensing matrix.
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