Analysis of the shift-and-add method for imaging through turbulent media

Physics

Scientific paper

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Atmospheric Effects, Atmospheric Turbulence, Image Analysis, Image Reconstruction, Speckle Patterns, Telescopes, Autocorrelation, Average, Image Processing, Image Resolution, Point Sources, Statistical Analysis, Stochastic Processes

Scientific paper

The statistical basis of the shift-and-add technique, by which true images of objects (viewed through fluctuating, distorting media) are formed by a particular kind of averaging of speckle images, is examined. The theory presented agrees with experimental results for objects consisting of isolated unresolvable points. A preliminary analysis is developed for extended objects, that is, objects having continuous, resolvable brightness distributions. Stationarity assumptions are invoked to construct descriptions of the limit functions in shift-and-add operations.

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