Foundations of MIMO Radar Detection Aided by Reconfigurable Intelligent Surfaces

A reconfigurable intelligent surface (RIS) is a flat layer made of sub-wavelength-sized reflective elements capable of adding a tunable phase shift to the impinging electromagnetic wave. This paper considers the fundamental problem of target detection in a RIS-aided multiple-input multiple-output (MIMO) radar system. At first, a general signal model is introduced, which includes the possibility of using up to two RISs (one close to the transmitter and one close to the receiver) and subsumes both a mono-static and a bi-static radar configuration with or without a line-of-sight (LOS) view of the prospective target. Upon resorting to a generalized likelihood ratio test (GLRT), the design of the RIS phase shifts is formulated as the maximization of the probability of detection in the resolution cell under inspection for a fixed probability of false alarm, and suitable optimization algorithms are proposed and discussed. Both the theoretical and the numerical analysis clearly show the benefits, in terms of the signal-to-noise ratio (SNR) at the radar receiver, granted by the use of the RISs and shed light on the interplay among the key system parameters, such as the radar-RIS distance, the RIS size, and location of the prospective target. A major finding is that the RISs should be deployed in the near-field of the radar transmit/receive array. The paper is then concluded by discussing some open problems and foreseen applications.