Errorless readout of random discrete-point fields

A closed analytical relation required to describe the reliability of readout of a random discrete-point field by integrators with two threshold levels is rigorously proved. The corresponding probabilistic problem is solved with the use of two nonstandard tricks: first, codes are developed for perfor...

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Veröffentlicht in:Optoelectronics, instrumentation, and data processing instrumentation, and data processing, 2012-09, Vol.48 (5), p.506-514
Hauptverfasser: Reznik, A. L., Efimov, V. M., Solov’ev, A. A., Torgov, A. V.
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container_issue 5
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container_title Optoelectronics, instrumentation, and data processing
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creator Reznik, A. L.
Efimov, V. M.
Solov’ev, A. A.
Torgov, A. V.
description A closed analytical relation required to describe the reliability of readout of a random discrete-point field by integrators with two threshold levels is rigorously proved. The corresponding probabilistic problem is solved with the use of two nonstandard tricks: first, codes are developed for performing analytical computations on a computer; second, a new notion of “three-dimensional generalized Catalan numbers” is introduced and successfully applied.
doi_str_mv 10.3103/S8756699012050111
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subjects Analysis and Synthesis of Signals and Images
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
title Errorless readout of random discrete-point fields
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