The problem of optimally selecting a subset of transmitters and receivers from a set of transmitters/receivers in a MIMO radar network which will minimize the localisation error of multiple in-region targets of interest under power constraint is studied. We show that such a problem can be formulated as an estimation variance minimization problem with a submodular variance reduction function. Based on the property of submodularity, a transmitter/receiver selection policy which minimizes the overall estimation covariance is proposed. Together, we also present an algorithm which can efficiently implement this sensor scheduling policy in polynomial time with a guaranteed accuracy compared to the optimal solution. The effectiveness and efficiency of the proposed method are demonstrated using simulated examples.
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