System and method for multiple spotlight synthetic radar imaging using random beam steering

1. A method for generating an image, wherein the image is a spotlight synthetic aperture radar (SAR) image, comprising the steps of:

directing a beam of transmitted pulses at a set of two or more areas using a steerable array of antennas, wherein each area is illuminated by an approximately equal number of the transmitted pulses, and wherein the beam is steered so that the pulses are transmitted to the areas randomly and uniformly in a spatial dimension; and

applying independently a reconstruction procedure to received signals from each area due to reflecting the transmitted pulses to generate the image corresponding to the set of areas.

2. The method of claim 1 , wherein the image is a combination of a sparse component and a residual component, and wherein the reconstruction method further comprises the steps of:

applying a compressive sensing procedure to generate the sparse component; and

applying a least square regularization to generate the residual component.

3. The method of claim 2 , wherein the compressive sensing procedure further comprises, until a termination condition is reached the iterative steps of:

producing an approximate image from the received signals;

applying a threshold to the approximate image to produce a thresholded image;

generating a simulated signal from the thresholded image;

scaling the simulated signal to produce a scaled signal; and

subtracting the scaled signal from the approximate image.

4. The method of claim 3 , further comprising:

subtracting the scaled image from the received signals to produce the residual component.

5. The method of claim 2 , further comprising:

producing an approximate image from the received signals;

applying a threshold to the approximate image to produce a thresholded image;

scaling a simulated signal to produce a scaled signal for the sparse component.