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

Fabian N. Murrieta-Rico; Oleg Sergiyenko; Julio Rodríguez-Quiñonez; Wendy Flores-Fuentes; Jose A.  Nuñez-Lopez; Vitalii Petranovskii

doi:10.37636/recit.v7n3e288

Authors

Fabian N. Murrieta-Rico Facultad de Ingeniería Mexicali, Universidad Autónoma de Baja California, Blvd. Benito Juárez S/N, Parcela 44, 21280 Mexicali, Baja California, México. Universidad Politécnica de Baja California, Av Claridad, Plutarco Elías Calles, 21376 Mexicali, Baja California, México https://orcid.org/0000-0001-9829-3013
Oleg Sergiyenko Instituto de Ingeniería, Universidad Autónoma de Baja California, Blvd. Benito Juárez S/N, Parcela 44, 21280 Mexicali, Baja California, México https://orcid.org/0000-0003-4270-6872
Julio Rodríguez-Quiñonez Facultad de Ingeniería Mexicali, Universidad Autónoma de Baja California, Blvd. Benito Juárez S/N, Parcela 44, 21280 Mexicali, Baja California, México https://orcid.org/0000-0002-1830-0226
Wendy Flores-Fuentes Facultad de Ingeniería Mexicali, Universidad Autónoma de Baja California, Blvd. Benito Juárez S/N, Parcela 44, 21280 Mexicali, Baja California, México https://orcid.org/0000-0002-1477-7449
Jose A. Nuñez-Lopez Instituto de Ingeniería, Universidad Autónoma de Baja California, Blvd. Benito Juárez S/N, Parcela 44, 21280 Mexicali, Baja California, México https://orcid.org/0000-0002-5583-8957
Vitalii Petranovskii Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México, Carr. Tijuana-Ensenada km107, 22860 Ensenada, Baja California, México https://orcid.org/0000-0002-8794-0593

DOI:

https://doi.org/10.37636/recit.v7n3e288

Abstract

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.

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References

United Nations Department of Economic and Social Affairs, The Sustainable Development Goals Report 2023: Special Edition. en The Sustainable Development Goals Report. United Nations, 2023. doi: 10.18356/9789210024914. DOI: https://doi.org/10.18356/9789210024914

G. Dhanush, N. Khatri, S. Kumar, y P. K. Shukla, «A comprehensive review of machine vision systems and artificial intelligence algorithms for the detection and harvesting of agricultural produce», Sci. Afr., vol. 21, p. e01798, sep. 2023, doi: 10.1016/j.sciaf.2023.e01798. DOI: https://doi.org/10.1016/j.sciaf.2023.e01798

V. R. Pathmudi, N. Khatri, S. Kumar, A. S. H. Abdul-Qawy, y A. K. Vyas, «A systematic review of IoT technologies and their constituents for smart and sustainable agriculture applications», Sci. Afr., vol. 19, p. e01577, mar. 2023, doi: 10.1016/j.sciaf.2023.e01577. DOI: https://doi.org/10.1016/j.sciaf.2023.e01577

C. González-Sánchez, G. Sánchez-Brizuela, A. Cisnal, J.-C. Fraile, J. Pérez-Turiel, y E. de la Fuente-López, «Prediction of Cow Calving in Extensive Livestock Using a New Neck-Mounted Sensorized Wearable Device: A Pilot Study», Sensors, vol. 21, n.o 23, Art. n.o 23, ene. 2021, doi: 10.3390/s21238060. DOI: https://doi.org/10.3390/s21238060

Ü. ÖZSANDIKCIOĞLU y A. ATASOY, «Breath analysis for detection of lung cancer with hybrid sensor-based electronic nose», Turk. J. Electr. Eng. Comput. Sci., vol. 31, n.o 3, pp. 550-565, may 2023, doi: 10.55730/1300-0632.4001. DOI: https://doi.org/10.55730/1300-0632.4001

H. Huang, J. Zhou, S. Chen, L. Zeng, y Y. Huang, «A highly sensitive QCM sensor coated with Ag+-ZSM-5 film for medical diagnosis», Sens. Actuators B Chem., vol. 101, n.o 3, pp. 316-321, jul. 2004, doi: 10.1016/j.snb.2004.04.001. DOI: https://doi.org/10.1016/j.snb.2004.04.001

P. Ma et al., «Non-invasive exhaled breath diagnostic and monitoring technologies», Microw. Opt. Technol. Lett., vol. 65, n.o 5, pp. 1475-1488, 2023, doi: 10.1002/mop.33133. DOI: https://doi.org/10.1002/mop.33133

S. Patel y R. Patel, «A Comprehensive Analysis of Computing Paradigms Leading to Fog Computing: Simulation Tools, Applications, and Use Cases», J. Comput. Inf. Syst., vol. 0, n.o 0, pp. 1-22, 2023, doi: 10.1080/08874417.2022.2121782. DOI: https://doi.org/10.1080/08874417.2022.2121782

A. Khanna y S. Kaur, «Internet of Things (IoT), Applications and Challenges: A Comprehensive Review», Wirel. Pers. Commun., vol. 114, n.o 2, pp. 1687-1762, sep. 2020, doi: 10.1007/s11277-020-07446-4. DOI: https://doi.org/10.1007/s11277-020-07446-4

N. V. Kirianaki, S. Y. Yurish, y N. O. Shpak, «Methods of dependent count for frequency measurements», Measurement, vol. 29, n.o 1, pp. 31-50, ene. 2001, doi: 10.1016/S0263-2241(00)00026-9. DOI: https://doi.org/10.1016/S0263-2241(00)00026-9

D. V. Laptev y I. A. Pasynkov, «Comparison of measuring time of frequency by methods counting and coincidence», en 2016 13th International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE), oct. 2016, pp. 294-298. doi: 10.1109/APEIE.2016.7802280. DOI: https://doi.org/10.1109/APEIE.2016.7802280

V. A.i, L. I.m, A. P.l, y Y. S.i, «Frequency instability measurement device based on the pulse coincidence principle», Вісник Національного Технічного Університету України Київський Політехнічний Інститут Серія Радіотехніка Радіоапаратобудування, n.o 76, Art. n.o 76, 2019.

S. Johansson, «New frequency counting principle improves resolution», en Frequency Control Symposium and Exposition, 2005. Proceedings of the 2005 IEEE International, ago. 2005, p. 8 pp.-. doi: 10.1109/FREQ.2005.1574007. DOI: https://doi.org/10.1109/FREQ.2005.1574007

D. Hernández Balbuena, O. Sergiyenko, V. Tyrsa, L. Burtseva, y M. R. López, «Signal frequency measurement by rational approximations», Measurement, vol. 42, n.o 1, pp. 136-144, ene. 2009, doi: 10.1016/j.measurement.2008.04.009. DOI: https://doi.org/10.1016/j.measurement.2008.04.009

F. N. Murrieta-Rico et al., «Pulse width influence in fast frequency measurements using rational approximations», Measurement, vol. 86, pp. 67-78, may 2016, doi: 10.1016/j.measurement.2016.02.032. DOI: https://doi.org/10.1016/j.measurement.2016.02.032

F. N. Murrieta-Rico et al., «Optimization of pulse width for frequency measurement by the method of rational approximations principle», Measurement, vol. 125, pp. 463-470, sep. 2018, doi: 10.1016/j.measurement.2018.05.008. DOI: https://doi.org/10.1016/j.measurement.2018.05.008

J. de D. Sanchez-Lopez et al., «Effect of phase in fast frequency measurements for sensors embedded in robotic systems», Int. J. Adv. Robot. Syst., vol. 16, n.o 4, p. 1729881419869727, jul. 2019, doi: 10.1177/1729881419869727. DOI: https://doi.org/10.1177/1729881419869727

F. N. Murrieta-Rico et al., «Phase effect in frequency measurements of a quartz crystal using the pulse coincidence principle», en 2020 IEEE 29th International Symposium on Industrial Electronics (ISIE), jun. 2020, pp. 185-190. doi: 10.1109/ISIE45063.2020.9152255. DOI: https://doi.org/10.1109/ISIE45063.2020.9152255

F. N. Murrieta-Rico, V. Petranovskii, R. I. Yocupicio-Gaxiola, y V. Tyrsa, «Zeolite-Based Optical Detectors», Optoelectronics in Machine Vision-Based Theories and Applications. Accedido: 29 de enero de 2021. [En línea]. Disponible en: www.igi-global.com/chapter/zeolite-based-optical-detectors/209826

X. Li, A. Wen, X. Li, y Z. Wang, «Photonic-assisted Approach to Simultaneous Measurement of Frequency and Angle-of-arrival», J. Light. Technol., pp. 1-11, 2023, doi: 10.1109/JLT.2023.3300078. DOI: https://doi.org/10.1109/JLT.2023.3300078

J. Kneifel, R. Roj, H.-B. Woyand, R. Theiß, y P. Dültgen, «An IIoT-Device for Acquisition and Analysis of High-Frequency Data Processed by Artificial Intelligence», IoT, vol. 4, n.o 3, Art. n.o 3, sep. 2023, doi: 10.3390/iot4030013. DOI: https://doi.org/10.3390/iot4030013

F. N. Murrieta-Rico et al., «Rational approximations principle for frequency shifts measurement in frequency domain sensors», en IECON 2015 - 41st Annual Conference of the IEEE Industrial Electronics Society, nov. 2015, pp. 000226-000231. doi: 10.1109/IECON.2015.7392103. DOI: https://doi.org/10.1109/IECON.2015.7392103

F. N. Murrieta-Rico, V. Petranovskii, O. Y. Sergiyenko, D. Hernandez-Balbuena, y L. Lindner, «A New Approach to Measurement of Frequency Shifts Using the Principle of Rational Approximations», Metrol. Meas. Syst., vol. 24, n.o 1, pp. 45-56, mar. 2017, doi: 10.1515/mms-2017-0007. DOI: https://doi.org/10.1515/mms-2017-0007

D. Avalos-Gonzalez et al., «Application of Fast Frequency Shift Measurement Method for INS in Navigation of Drones», en IECON 2018 - 44th Annual Conference of the IEEE Industrial Electronics Society, oct. 2018, pp. 3159-3164. doi: 10.1109/IECON.2018.8591377. DOI: https://doi.org/10.1109/IECON.2018.8591377

F. N. Murrieta-Rico, V. Petranovskii, D. H. Galván, J. Antúnez-García, R. I. Yocupicio-Gaxiola, y V. Tyrsa, «Frequency Shifts Estimation for Sensors Based on Optoelectronic Oscillators», IEEE Sens. J., vol. 21, n.o 10, pp. 11283-11290, may 2021, doi: 10.1109/JSEN.2020.3013732. DOI: https://doi.org/10.1109/JSEN.2020.3013732

M. E. Frerking, Crystal oscillator design and temperature compensation. Van Nostrand, 1978. DOI: https://doi.org/10.1007/978-94-011-6056-8

F. N. Murrieta-Rico et al., «Basic Aspects in the Application of QCMs as Sensors: A Tutorial», IEEE Sens. J., vol. 22, n.o 11, pp. 10163-10172, jun. 2022, doi: 10.1109/JSEN.2022.3148039. DOI: https://doi.org/10.1109/JSEN.2022.3148039

F. N. Murrieta-Rico et al., «QCM modified with FAU zeolite nanostructures for analysis of temperature induced adsorbed mass changes», Measurement, vol. 172, p. 108935, feb. 2021, doi: 10.1016/j.measurement.2020.108935. DOI: https://doi.org/10.1016/j.measurement.2020.108935

O. Y. Sergiyenko et al., «Automotive FDS Resolution Improvement by Using the Principle of Rational Approximation», IEEE Sens. J., vol. 12, n.o 5, pp. 1112-1121, may 2012, doi: 10.1109/JSEN.2011.2166114. DOI: https://doi.org/10.1109/JSEN.2011.2166114

F. N. Murrieta-Rico et al., «High-resolution measurement of physical variables change for INS», en 2016 IEEE 25th International Symposium on Industrial Electronics (ISIE), jun. 2016, pp. 912-917. doi: 10.1109/ISIE.2016.7745012. DOI: https://doi.org/10.1109/ISIE.2016.7745012

P. A. Luque et al., «Facile Zinc Oxide Nanoparticle Green Synthesis Using Citrus reticulata Extract for Use in Optoelectronic Sensors», IEEE Sens. J., vol. 21, n.o 10, pp. 11275-11282, may 2021, doi: 10.1109/JSEN.2020.3011988. DOI: https://doi.org/10.1109/JSEN.2020.3011988

F. N. Murrieta-Rico, M. Luque, G. Romo-Cárdenas, y P. A. Luque, «Evaluation of naturally synthesized ZnO for sensing applications using EIS», Mater. Today Proc., vol. 47, pp. 1676-1681, ene. 2021, doi: 10.1016/j.matpr.2021.05.465. DOI: https://doi.org/10.1016/j.matpr.2021.05.465

H. E. Garrafa-Gálvez, L. Cardoza-Avendaño, R. M. López-Gutiérrez, M. E. Martínez-Rosas, F. N. Murrieta-Rico, y P. A. Luque, «Use of Tilia extract to improve the optical and electrochemical properties of ZnO semiconductor nanoparticles», J. Mater. Sci. Mater. Electron., vol. 34, n.o 1, p. 14, ene. 2023, doi: 10.1007/s10854-022-09427-8. DOI: https://doi.org/10.1007/s10854-022-09427-8

O. Nava et al., «Evaluation of electrochemical properties of zinc oxide-based semiconductor nanoparticles biosynthesized with Mentha spicata for optoelectronic applications», Mater. Lett., vol. 275, p. 128101, sep. 2020, doi: 10.1016/j.matlet.2020.128101. DOI: https://doi.org/10.1016/j.matlet.2020.128101

D. Avalos-Gonzalez et al., «Constraints definition and application optimization based on geometric analysis of the frequency measurement method by pulse coincidence», Measurement, vol. 126, pp. 184-193, oct. 2018, doi: 10.1016/j.measurement.2018.05.025. DOI: https://doi.org/10.1016/j.measurement.2018.05.025

F. N. Murrieta-Rico et al., «Analysis of Frequency Domain Data Generated by a Quartz Crystal», en Encyclopedia of Data Science and Machine Learning, IGI Global, 2023, pp. 2272-2284. doi: 10.4018/978-1-7998-9220-5.ch136. DOI: https://doi.org/10.4018/978-1-7998-9220-5.ch136

F. N. Murrieta-Rico et al., «Computational Study of Data Generated During Time-Domain Overlapping Processes», en 2023 Mexican International Conference on Computer Science (ENC), sep. 2023, pp. 1-5. doi: 10.1109/ENC60556.2023.10508681. DOI: https://doi.org/10.1109/ENC60556.2023.10508681