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This paper considers optimum sparse arrays for target detection and tracking. Sparse array optimization simplifies the receiver design and reduces both the hardware and computational cost. In this paper, we consider two-dimensional sparse array design for transmit beamforming in MIMO radar operation. We pursue a bi-objective design function that jointly focuses the maximum energy towards the target locations while ensuring minimum cross-correlations from the radar returns, enabling adaptive target tracking. This involves a joint design of sensor locations as well as the transmitted waveforms. We compare the performance of the proposed sparse array design with other commonly used sparse arrays.
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