Investigating Measurement Errors in Dual-Frequency Probing Technique by Mathematical Modeling

Research output: Contribution to journalArticle

Abstract

We present mathematical modeling of the process of determining the time coordinate of the moment of arrival of a pulse echo in the dual-frequency probing technique, as well as graphs of the involved measurement error versus the comparator’s discrimination threshold for different ratios of frequencies and distances and ratio of the frequencies of emitted pulses. Mathematical modeling has revealed limiting cases in which the measurement error increases and can reach 3–4%. Analysis of results has made it possible to identify additional requirements for the mathematical processing of received signals to keep the error within 1%.

Original languageEnglish
Pages (from-to)15-21
Number of pages7
JournalRussian Journal of Nondestructive Testing
Volume55
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

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Measurement errors
pulses
arrivals
discrimination
echoes
Processing
moments
requirements
thresholds

Keywords

  • approximation
  • comparator
  • mathematical modeling
  • measurement accuracy
  • pulse echo

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "Investigating Measurement Errors in Dual-Frequency Probing Technique by Mathematical Modeling",
abstract = "We present mathematical modeling of the process of determining the time coordinate of the moment of arrival of a pulse echo in the dual-frequency probing technique, as well as graphs of the involved measurement error versus the comparator’s discrimination threshold for different ratios of frequencies and distances and ratio of the frequencies of emitted pulses. Mathematical modeling has revealed limiting cases in which the measurement error increases and can reach 3–4{\%}. Analysis of results has made it possible to identify additional requirements for the mathematical processing of received signals to keep the error within 1{\%}.",
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author = "Shul’gina, {Yu V.} and Kostina, {M. A.} and Soldatov, {A. I.} and Soldatov, {A. A.} and Sorokin, {P. V.}",
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AU - Sorokin, P. V.

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AB - We present mathematical modeling of the process of determining the time coordinate of the moment of arrival of a pulse echo in the dual-frequency probing technique, as well as graphs of the involved measurement error versus the comparator’s discrimination threshold for different ratios of frequencies and distances and ratio of the frequencies of emitted pulses. Mathematical modeling has revealed limiting cases in which the measurement error increases and can reach 3–4%. Analysis of results has made it possible to identify additional requirements for the mathematical processing of received signals to keep the error within 1%.

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