System and method for distributed dual-function radar-communication

A system for distributed dual-function radar-communication, comprising:

• a plurality of M dual-function radar transmitters positioned within a region of interest, each configured to transmit at least one radar waveform, with each m-th transmitter for m=1, . . . ,M having a minimum transmit power pmtx,min, a maximum transmit power pmtx,max, and a working transmit power pmtx;
• a plurality of radar receivers positioned within the region of interest, each configured to receive the radar waveforms;
• at least one controller communicatively connected to at least one connected transmitter of the plurality of dual-function radar transmitters, comprising a non-transitory computer-readable medium with instructions stored thereon, which when executed by a processor perform steps comprising:
• accepting a vector of locations of the plurality of dual-function radar transmitters and a vector of locations of the radar receivers;
• accepting target data comprising a target location having a first target localization accuracy and an estimated radar cross section;
• calculating a vector of transmit power values ptx for the plurality of dual-function radar transmitters by minimizing
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• subject to q−ηAptx≤0 and Xr≥0;
• receiving the waveform with at least one dual-function radar receiver of the plurality of radar receivers;
• calculating, from the received waveform, an updated target location having a second target localization accuracy;
• providing the updated target location and second target localization accuracy to the at least one dual-function radar transmitter;
• recalculating the vector of transmit power values;
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• setting a transmit power of the at least one dual-function radar transmitter from a selected transmit power value in the updated vector of transmit power values;
• wherein each transmit power value in the vector of transmit power values is between pmtx,min, and pmtx,max and wherein the sum of the transmit power values in the vector of transmit power values is less than or equal to a maximum total transmit power for the system;
• wherein Xr is the water-filling power level;
• wherein γr=[γ1,r, γ2,r, . . . , γR,r]T and Γm,r=γm,r=γm,rσm,r2/|gm,r|2;
• wherein q=qa+qb, A=qaqbT−qcqcT, qa=[qa1, qa2, . . . , qaM]T, qb=[qb1, qb2, . . . , qbM]T, qc=[qc1, qc2, . . . , qcM]T;
• wherein η is the Cramer-Rao bound of the desired target localization accuracy;
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• wherein T is the pulse duration.