Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references

Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references

In most cases, sensors are the means that enable a computer to get information from a process of interest. This requires that the information generated by the sensor can be processed by the computer in a timely manner. However, if accurate data from the sensor is required, an appropriate transductio...

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Egile Nagusiak: Murrieta-Rico, Fabian N., Sergiyenko, Oleg, Rodríguez-Quiñonez, Julio, Flores-Fuentes, Wendy, Nuñez-Lopez, Jose A., Petranovskii, Vitalii
Formatua: Online
Hizkuntza:eng
Argitaratua: Universidad Autónoma de Baja California 2024
Sarrera elektronikoa:https://recit.uabc.mx/index.php/revista/article/view/288
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spelling recit-article-2882024-08-09T11:35:10Z Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references Análisis matemático del proceso de coincidencia de pulsos para su aplicación en sensores utilizando referencias variables Murrieta-Rico, Fabian N. Sergiyenko, Oleg Rodríguez-Quiñonez, Julio Flores-Fuentes, Wendy Nuñez-Lopez, Jose A. Petranovskii, Vitalii In most cases, sensors are the means that enable a computer to get information from a process of interest. This requires that the information generated by the sensor can be processed by the computer in a timely manner. However, if accurate data from the sensor is required, an appropriate transduction process is required. There are sensors that generate a frequency-domain output. Since these sensors typically have a short response time, it is required to get the best approximation to their frequency within the shortest time possible. There are different methods for obtaining the frequency value generated by the sensor. Although such methods can be applied, their functioning characteristics are not suitable for application in sensors. The principle of rational approximations is a method that has proven plenty of improvements in comparison to other frequency measurement methods. In this work, the functioning of the principle of rational approximations is explored when different time references are used.  After the computational analysis of the principle of rational approximations, it was found out how the reference frequency value affects the measurement process. It was found that if the magnitude of reference and unknown frequencies have an increment in their difference, then the relative error decreases. En la mayoría de los casos, los sensores son los medios que permiten a una computadora obtener información de un proceso de interés. Esto requiere que la información generada por el sensor pueda ser procesada por la computadora de manera oportuna. Sin embargo, si se requieren datos precisos del sensor, se requiere un proceso de transducción adecuado. Hay sensores que generan una salida en el dominio de la frecuencia. Dado que estos sensores suelen tener un tiempo de respuesta corto, se requiere obtener la mejor aproximación a su frecuencia en el menor tiempo posible. Existen diferentes métodos para obtener el valor de frecuencia generado por el sensor. Aunque tales métodos pueden aplicarse, sus características de funcionamiento no son adecuadas para su aplicación en sensores. El principio de aproximaciones racionales es un método que ha demostrado muchas mejoras en comparación con otros métodos de medición de frecuencia. En este trabajo se explora el funcionamiento del principio de aproximaciones racionales cuando se utilizan distintas referencias temporales. Después del análisis computacional del principio de aproximaciones racionales, se descubrió cómo el valor de la frecuencia de referencia afecta el proceso de medición. Se encontró que, si la magnitud de las frecuencias de referencia y desconocida se incrementa, entonces el error relativo decrece. Universidad Autónoma de Baja California 2024-08-08 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html application/zip https://recit.uabc.mx/index.php/revista/article/view/288 10.37636/recit.v7n3e288 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 7 No. 3 (2024): July-September; e288 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 7 Núm. 3 (2024): Julio-Septiembre; e288 2594-1925 eng https://recit.uabc.mx/index.php/revista/article/view/288/591 https://recit.uabc.mx/index.php/revista/article/view/288/592 https://recit.uabc.mx/index.php/revista/article/view/288/593 Copyright (c) 2024 Fabian N. Murrieta-Rico, Oleg Sergiyenko, Julio Rodríguez-Quiñonez, Wendy Flores-Fuentes, Jose A. Nuñez-Lopez, Vitalii Petranovskii https://creativecommons.org/licenses/by/4.0
institution RECIT
collection OJS
language eng
format Online
author Murrieta-Rico, Fabian N.
Sergiyenko, Oleg
Rodríguez-Quiñonez, Julio
Flores-Fuentes, Wendy
Nuñez-Lopez, Jose A.
Petranovskii, Vitalii
spellingShingle Murrieta-Rico, Fabian N.
Sergiyenko, Oleg
Rodríguez-Quiñonez, Julio
Flores-Fuentes, Wendy
Nuñez-Lopez, Jose A.
Petranovskii, Vitalii
Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references
author_facet Murrieta-Rico, Fabian N.
Sergiyenko, Oleg
Rodríguez-Quiñonez, Julio
Flores-Fuentes, Wendy
Nuñez-Lopez, Jose A.
Petranovskii, Vitalii
author_sort Murrieta-Rico, Fabian N.
title Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references
title_short Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references
title_full Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references
title_fullStr Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references
title_full_unstemmed Mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references
title_sort mathematical analysis of the pulse coincidence process for applications on frequency sensors after the use of variable references
description In most cases, sensors are the means that enable a computer to get information from a process of interest. This requires that the information generated by the sensor can be processed by the computer in a timely manner. However, if accurate data from the sensor is required, an appropriate transduction process is required. There are sensors that generate a frequency-domain output. Since these sensors typically have a short response time, it is required to get the best approximation to their frequency within the shortest time possible. There are different methods for obtaining the frequency value generated by the sensor. Although such methods can be applied, their functioning characteristics are not suitable for application in sensors. The principle of rational approximations is a method that has proven plenty of improvements in comparison to other frequency measurement methods. In this work, the functioning of the principle of rational approximations is explored when different time references are used.  After the computational analysis of the principle of rational approximations, it was found out how the reference frequency value affects the measurement process. It was found that if the magnitude of reference and unknown frequencies have an increment in their difference, then the relative error decreases.
publisher Universidad Autónoma de Baja California
publishDate 2024
url https://recit.uabc.mx/index.php/revista/article/view/288
_version_ 1808123086048854016

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