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Stable estimation of the probability density function of intensity from photon frequency counts

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Abstract

A numerical solution to the problem of estimating the probability density of integrated intensity, P(W), given a measured histogram of photon counts is described. The solution has a minimum norm in a Hilbert space that is weighted according to a prior estimate of P(W) and is stable by virtue of a simple but powerful method of regularization. Additional stabilization is achieved by restricting the number of input photon-count frequencies.

© 1984 Optical Society of America

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