Optimum photon detection with a simple counting processor

Malvin Carl Teich; Paul R. Prucnal; Giovanni Vannucci

doi:10.1364/OL.1.000208

Optimum photon detection with a simple counting processor

Malvin Carl Teich, Paul R. Prucnal, Giovanni Vannucci

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	208-210
Number of pages	3
Journal	Optics Letters
Volume	1
Issue number	6
DOIs	https://doi.org/10.1364/OL.1.000208
State	Published - Dec 1 1977
Externally published	Yes

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1364/OL.1.000208

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abstract = "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)].",

author = "Teich, {Malvin Carl} and Prucnal, {Paul R.} and Giovanni Vannucci",

year = "1977",

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T1 - Optimum photon detection with a simple counting processor

AU - Teich, Malvin Carl

AU - Prucnal, Paul R.

AU - Vannucci, Giovanni

PY - 1977/12/1

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N2 - 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)].

AB - 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)].

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JO - Optics Letters

JF - Optics Letters

IS - 6

ER -

Optimum photon detection with a simple counting processor

Abstract

All Science Journal Classification (ASJC) codes

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