RIP analysis of the measurement matrix for compressive sensing-based MIMO radars

This paper considers range-angle-Doppler estimation in collocated, compressive sensing-based MIMO (CS-MIMO) radars with arbitrary array configuration. In the literature, the effectiveness of CS-MIMO radars has been studied mostly via simulations. Although there exist some theoretical results for MIMO radars with linear arrays, those cannot be easily extended to arbitrary array configurations. This paper analyzes the restricted isometry property (RIP) of the measurement matrix. The RIP conditions involve, among other quantities, the number of transmit and receive antennas. A scheme is proposed that selects the subset of receive antennas with the smallest cardinality that meet the RIP conditions.