Recently proposed multiple input multiple output radars based on matrixcompletion (MIMO-MC) employ sparse sampling to reduce the amount of data thatneed to be forwarded to the radar fusion center, and as such enable savings incommunication power and bandwidth. This paper proposes designs that optimizethe sharing of spectrum between a MIMO-MC radar and a communication system, sothat the latter interferes minimally with the former. First, the communicationsystem transmit covariance matrix is designed to minimize the effectiveinterference power (EIP) to the radar receiver, while maintaining certainaverage capacity and transmit power for the communication system. Twoapproaches are proposed, namely a noncooperative and a cooperative approach,with the latter being applicable when the radar sampling scheme is known at thecommunication system. Second, a joint design of the communication transmitcovariance matrix and the MIMO-MC radar sampling scheme is proposed, whichachieves even further EIP reduction.
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