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.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:8756-6990
1934-7944
DOI:10.3103/S8756699012050111