Cramer-Rao Bound on Object Estimation from HST Imagery

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Session 113 -- HST, UIT and UV Instruments, UV Processing and Archives
Display presentation, Saturday, January 15, 9:30-6:45, Salons I/II Room (Crystal Gateway)

[113.02] Cramer-Rao Bound on Object Estimation from HST Imagery

Robert A. Gonsalves, Scott Zaccheo, Steven M. Ebstein (Tufts University EOTC), P. Nisenson (Harvard-Smithsonian Center for Astrophysics)

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.

Saturday program listing