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%.

Original language	English
Pages (from-to)	15-21
Number of pages	7
Journal	Russian Journal of Nondestructive Testing
Volume	55
Issue number	1
DOIs	https://doi.org/10.1134/S1061830919010108
Publication status	Published - 1 Jan 2019

Keywords

approximation
comparator
mathematical modeling
measurement accuracy
pulse echo

ASJC Scopus subject areas

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

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10.1134/S1061830919010108

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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{\textquoteright}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%.",

keywords = "approximation, comparator, mathematical modeling, measurement accuracy, pulse echo",

author = "Shul{\textquoteright}gina, {Yu V.} and Kostina, {M. A.} and Soldatov, {A. I.} and Soldatov, {A. A.} and Sorokin, {P. V.}",

year = "2019",

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AU - Shul’gina, Yu V.

AU - Kostina, M. A.

AU - Soldatov, A. I.

AU - Soldatov, A. A.

AU - Sorokin, P. V.

PY - 2019/1/1

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N2 - 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%.

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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KW - comparator

KW - mathematical modeling

KW - measurement accuracy

KW - pulse echo

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