Antenna allocation for MIMO radars with collocated antennas

This paper deals with the antenna allocation problem in Multiple-Input Multiple-Output (MIMO) radar systems with collocated antennas. After deriving the Cramer-Rao Lower Bound (CRLB) as the cost function, the optimal distribution of antennas is found by applying the relevant operators to the CRLB. A convex optimization algorithm is then proposed to find the optimum distribution of antennas that achieves the optimal CRLB. It is also shown that the optimization problem can be simplified to the well-known Semi-definite Programming (SDP) for a single target scenario. Using a number of simulations, it is shown that the localization algorithm also leads to superior results when the optimal antenna configuration is used.