Add to ORKGInternational audienceA MIMO radar system is conveniently modeled via random matrices, and its optimal design strongly relies on spectral properties of the matrix exploited to build the model itself. We offer a way to model a High Resolution Radar (HRR) detection in the MIMO case, based on recent results on the asymptotic spectral analysis of random Vandermonde matrices with entries lying on the unit circle. Achievability of compact-form expressions for the design parameters sought for in the multiple-transmitter-multiple-receiver case is investigated, and together with the results of such a starting analysis, some open mathematical questions that arise from the new model formulation are listed and discussed