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By employing sparse sampling, MIMO radars with matrix completion (MIMO-MC) achieve the performance of MIMO radars but with significantly fewer data samples. Further, due to the way the sparse sampling modulates the interference channel between radar and communication systems, MIMO-MC radars are good candidates for spectrum sharing. In this paper, we design a scenario in which a MIMO-MC radar optimally co-exists with a MIMO wireless communication system in the presence of clutter. Both the radar and the communication systems employ transmit precoding. The precoders and the radar sub-sampling scheme are jointly designed to maximize the receive signal-to-interference ratio of the radar while meeting certain rate and power constraints for the communication system. Efficient optimization algorithms are provided. Simulation results demonstrate that MIMO-MC radars offer significant improvement as compared to MIMO radars in the co-existence scenario considered here.
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Li et al. (2016) studied this question.
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