Method and system for autofocus radar imaging

A method for generating an image of a region of interest (ROI) using a radar system, wherein the radar system includes a set of one or more antennas, and the radar system has unknown position perturbations, comprising steps of:

• transmitting pulses, as a source signal, to the ROI using the set of antennas at different positions;
• receiving echoes, as reflected signals, by the set of antennas at the different positions;
• and further comprising computer implemented steps of:
• deconvolving the reflected signals with the source signal to produce deconvolved data;
• compensating phase changes of the deconvolved data according a coherence between the reflected signals to produce compensated data;
• generating reconstructed data from the compensated data;
• and
• reconstructing images using the reconstructed data, wherein the images are autofocused, wherein the deconvolved data are initialized as a residual signal, wherein the images include pixels corresponding to location in the ROI, wherein the computer implemented steps further comprise, until a termination condition is reached, iterative steps of:
• estimating the target location, as non-zero support across the images, each of which corresponding to one of the antennas;
• updating projection matrices based on coherence analysis and group sparsity;
• reconstructing the images with the updated projection matrices;
• and
• determining the residual signal for a next iteration by removing the target signal from the collected data.