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Article

A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors

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Department Signal Theory, Networking and Communications, University of Granada, 18071 Granada, Spain
2
By Techdesign S.L., 28500 Arganda del Rey (Madrid), Spain
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Department of Analytical Chemistry, University of Granada, 18071 Granada, Spain
*
Author to whom correspondence should be addressed.
Sensors 2020, 20(16), 4635; https://doi.org/10.3390/s20164635
Received: 8 July 2020 / Revised: 7 August 2020 / Accepted: 13 August 2020 / Published: 18 August 2020
(This article belongs to the Special Issue Calibration of Chemical Sensors Based on Photoluminescence)
In this work, we propose a new model describing the relationship between the analyte concentration and the instrument response in photoluminescence sensors excited with modulated light sources. The concentration is modeled as a polynomial function of the analytical signal corrected with an exponent, and therefore the model is referred to as a polynomial-exponent (PE) model. The proposed approach is motivated by the limitations of the classical models for describing the frequency response of the luminescence sensors excited with a modulated light source, and can be considered as an extension of the Stern–Volmer model. We compare the calibration provided by the proposed PE-model with that provided by the classical Stern–Volmer, Lehrer, and Demas models. Compared with the classical models, for a similar complexity (i.e., with the same number of parameters to be fitted), the PE-model improves the trade-off between the accuracy and the complexity. The utility of the proposed model is supported with experiments involving two oxygen-sensitive photoluminescence sensors in instruments based on sinusoidally modulated light sources, using four different analytical signals (phase-shift, amplitude, and the corresponding lifetimes estimated from them). View Full-Text
Keywords: calibration; chemical sensor; photoluminescence; oxygen sensing; frequency response; Stern–Volmer model; Lehrer model; Demas model; polynomial-exponent model calibration; chemical sensor; photoluminescence; oxygen sensing; frequency response; Stern–Volmer model; Lehrer model; Demas model; polynomial-exponent model
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MDPI and ACS Style

Torre, A.d.l.; Medina-Rodríguez, S.; Segura, J.C.; Fernández-Sánchez, J.F. A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors. Sensors 2020, 20, 4635. https://doi.org/10.3390/s20164635

AMA Style

Torre Adl, Medina-Rodríguez S, Segura JC, Fernández-Sánchez JF. A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors. Sensors. 2020; 20(16):4635. https://doi.org/10.3390/s20164635

Chicago/Turabian Style

Torre, Angel d.l., Santiago Medina-Rodríguez, Jose C. Segura, and Jorge F. Fernández-Sánchez 2020. "A Polynomial-Exponent Model for Calibrating the Frequency Response of Photoluminescence-Based Sensors" Sensors 20, no. 16: 4635. https://doi.org/10.3390/s20164635

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