Optimum photon detection with a simple counting processor

Malvin Carl Teich, Paul R. Prucnal, Giovanni Vannucci

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


It is shown that, for an arbitrary discrete process embedded in independent additive discrete noise, the classical binary detection problem using a likelihood-ratio test reduces to a simple comparison of the number of events with a single threshold. Only a weak condition on the noise distribution is required. Our results are appropriate for the analysis of photocounting optical communications and photocounting radar systems as well as neural counting in auditory psychophysics. We specifically apply our method to a signal-detection theory model of the human visual system and draw a comparison to the analysis of Hecht, Shlaer, and Pirenne [J. Gen. Physiol. 25, 819 (1942)].

Original languageEnglish (US)
Pages (from-to)208-210
Number of pages3
JournalOptics Letters
Issue number6
StatePublished - Dec 1 1977
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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