Systems and methods for radar systems to produce a radar image of a region of interest (ROI with targets. Sensors to transmit source signals to the ROI and to measure echoes reflected back from the targets corresponding to the transmitted source signals. A processor to calculate an estimate of a noisy and a partial Euclidean Distance Matrix (EDM) of the sensors and the targets. Decompose the noisy and the partial EDM into a low rank EDM that corresponds to locations to actual sensors and target locations, and a sparse matrix of distance errors, using a constrained optimization process. The low rank EDM is mapped into the sensors and the targets locations, to obtain estimated actual sensor locations. Implement an inverse imaging process using the estimated actual sensor locations and the received data, to produce the radar image to output to a communication channel.