Date of Award


Document Type


Degree Name

Master of Science


Department of Electrical and Computer Engineering


Current methods for estimating the wave front slope at the pupil of a telescope equipped with a Hartmann-type wave front sensor (H-WFS) are based on a simple centroid calculation of the intensity distributions (spots) recorded in each subaperture of the H-WFS. The centroid method does not include any knowledge concerning correlation properties of the slopes over the subapertures or the amount of light collected by the telescope and diverted to the H-WFS for wave front reconstruction purposes. This thesis devises a maximum likelihood (ML) estimation of the spot centroids by incorporating statistical knowledge of the spot shifts. The light level in each subaperture and the relative spot size is also employed by the shift estimator. The shift estimator is found to be unbiased and is upper bounded by the mean squared error performance exhibited by the classical centroid technique.

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DTIC Accession Number