Expectation-maximization algorithm for amplitude estimation of saturated optical transient signals | Zendy

Matthew Kagie | Zendy; Aaron D. Lanterman | Zendy

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Expectation-maximization algorithm for amplitude estimation of saturated optical transient signals

Author(s) -

Matthew Kagie,

Aaron D. Lanterman

Publication year - 2018

Publication title -

journal of the optical society of america a

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.803

H-Index - 158

eISSN - 1520-8532

pISSN - 1084-7529

DOI - 10.1364/josaa.35.001228

Subject(s) - expectation–maximization algorithm , censoring (clinical trials) , amplitude , maximization , algorithm , poisson distribution , computer science , transient (computer programming) , estimation theory , signal (programming language) , saturation (graph theory) , maximum likelihood , statistics , mathematics , mathematical optimization , optics , physics , combinatorics , programming language , operating system

This paper addresses parameter estimation for an optical transient signal when the received data has been right-censored. We develop an expectation-maximization (EM) algorithm to estimate the amplitude of a Poisson intensity with a known shape in the presence of additive background counts, where the measurements are subject to saturation effects. We compare the results of our algorithm with those of an EM algorithm that is unaware of the censoring.

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