Phased array imaging

Astronomy and Astrophysics – Astronomy

Scientific paper

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Algorithms, Image Processing, Imaging Techniques, Phased Arrays, Radio Astronomy, Angular Resolution, Image Resolution, Nonlinear Systems, Optical Transfer Function, Signal To Noise Ratios, Spatial Resolution

Scientific paper

The problem of recoverable image resolution is investigated for the case where an imaging array is used which array has an optical transfer function that may be described as consisting of islands of nonzero value in a sea of zero values. Can the missing spatial frequency information can be provided--can, in effect, a form of (interpolative) super resolution. The CLEAN algorithm used by radio astronomers suggests that this should be possible. The results developed here indicate that this can be done, with no significant price in terms of signal-to-noise ratio to be paid, and further show that a nonlinear algorithm, like CLEAN, is not required. The results show that the feasibility of doing this depends on the angular size of the object being imaged. We find that its size must be less than the inverse of the largest gap between islands in the array's optical transfer function.

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