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  • Maximum-likelihood time-of-arrival estimation for saturated optical transient signals.
  • https://doi.org/10.1364/josaa.516910Copy DOI Icon

Maximum-likelihood time-of-arrival estimation for saturated optical transient signals.

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Abstract

We employ right-censored Poisson point process models to develop maximum-likelihood procedures for estimating the time of arrival of transient optical signals subject to saturation distortion. The Poisson intensity is modeled as a template with an unknown scaling factor with additive background counts. Using Monte Carlo simulations, we explore the performance of different algorithms as a function of signal magnitude and saturation threshold. In particular, we characterize the benefit our procedures have over algorithms that are unaware of the censoring.

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