Cramer-Rao Bound on Object Estimation from HST Imagery

Details Cramer-Rao Bound on Object Estimation from HST Imagery Cramer-Rao Bound on Object Estimation from HST Imagery

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aas...18311302g&link_type=abstract

American Astronomical Society, 183rd AAS Meeting, #113.02; Bulletin of the American Astronomical Society, Vol. 25, p.1459

Astronomy and Astrophysics

Astronomy

Scientific paper

When creating an enhanced image or estimating an object's parameters, it is important to establish the error associated with the processing. The Cramer-Rao bound is a tool to calculate the error. It gives the minimum variance that can be achieved by any estimation technique; when the technique is maximum likelihood, the estimator asymptotically approaches the bound, as the number of observations becomes large. We calculate the bound for HST WF/PC imagery and show how it can be used as an adjoint to any enhancement or estimation algorithm. The bound is sensitive to the accuracy of the point-spread function (PSF). We show results for an improved estimation of the PSF.

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