Image reconstruction from frequency-offset Fourier data

Space-Variant Post-Filtering for Wavefront Curvature Correction in Polar-Formatted Spotlight-Mode SAR Imagery

“…That is, the image domain microwave reflectivity function typically possesses a phase function that is essentially uncorrelated. This particular effect was first described by Munson and Sanz in [66], and is attributed to the coherent speckle properties of SAR imagery.…”

Holographic representations of images

“…The authors thank J. Lagarias for bringing his recent work with N. Jayant on storing signals in 2-D arrays to their attention while this paper was being written, and T. Marzetta for bringing [10] to their attention following a lecture on holographic image representation based on [2]. The editor and the referees are also acknowledged for several helpful suggestions.…”

“…As opposed to the holographic sampling idea discussed in the previous section where a 1-D stream of samples is generated, this representation maps an image matrix encoded usually by 8 b/pixel with a pair of matrices, the real and imaginary parts of , that must be quantized with sufficient precision to yield "good quality" glimpses of from arbitrary portions of and full recovery of from the complete . It is interesting to note that the fact that the amplitude information of a random phase image is distributed "evenly" in the Fourier domain was previously pointed out in the context of optical holography and SAR imaging (see, e.g., [10], and references therein); however this idea was never proposed as an effective way to achieve distributed image representation.…”

Compressed sensing of mono-static and multi-static SAR

“…It is well known that due to the holographic properties of spotlight synthetic aperture measurements, the reflectivity magnitude of a given scene can be recovered at the same resolution from many k-space regions, as long as the extent of such regions is approximately the same. 4,17 In order to make comparisons to the mono-static case presented earlier, the carrier wavelength is reduced, such that Rayleigh resolutions of the two configurations are approximately the same. Furthermore, as the isotropic scattering is the key for coherent processing and effective imaging, we assume that the isotropic scattering assumption is valid for the circular multi-static configuration as well.…”