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We consider a joint multiple-antenna radar-communications system in aco-existence scenario. Contrary to conventional applications, wherein at leastthe radar waveform and communications channel are known or estimated \textit{apriori}, we investigate the case when the channels and transmit signals of bothsystems are unknown. In radar applications, this problem arises in multistaticor passive systems, where transmit signal is not known. Similarly, highlydynamic vehicular or mobile communications may render prior estimates ofwireless channel unhelpful. In particular, the radar signal reflected-offmultiple targets is overlaid with the multi-carrier communications signal. Inorder to extract the unknown continuous-valued target parameters (range,Doppler velocity, and direction-of-arrival) and communications messages, weformulate the problem as a sparse dual-blind deconvolution and solve it usingatomic norm minimization. Numerical experiments validate our proposed approachand show that precise estimation of continuous-valued channel parameters, radarwaveform, and communications messages is possible up to scaling ambiguities.

Multi-dimensional dual-blind deconvolution approach toward joint radar-communications