Diversity-Integration Trade-offs in MIMO Radars

 

Abstract

 

Multiple-Input Multiple-Output (MIMO) Radars with widely spaced antennae at both the transmitter and the receiver may achieve substantial performance improvements over conventional systems by

 

1.Generating as many independent and identically distributed replicas of the target echoes as possible, thus fully exploiting the diversity granted by the different aspect angles;
2. Integrating energy along fewer paths, i.e. giving up the transmit diversity in favor of stronger signal on each surviving path; 
3.Compromising between [a] and [b].

In the above framework, the present talk is aimed at shedding some light on the operation of MIMO radars. The topics covered in the talk can be summarized as follows:

 

1.Assuming that each transmit antenna is assigned an N−dimensional code-word, a general model for the received signal is presented;
2.At the receiver design stage, the Generalized Likelihood Ratio Test (GLRT) is derived for arbitrary transmitted signals, showing that it exhibits a canonical structure, namely always consists of a projector followed by an energy detector;
3.The availability of closed-form formulas for the false-alarm and detection probability under Gaussian target scattering and arbitrary noise time-correlation allows showing that suitable design of the code-book employed at the transmitter allows trading diversity for integration. Since no uniformly optimum (i.e., for any signal-to-disturbance ratio) strategy exists, space-time coding turns out to be a precious degree of freedom at the system design stage.
4.Some considerations on the case of non-Gaussian scattering will be presented; 
5.A number of further developments and hints for future research will be given.