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2019 | OriginalPaper | Buchkapitel

3. In-Direct Impedance Measurement: Phase Extraction Algorithm

verfasst von : Abdulwadood A. Al-Ali, Brent J. Maundy, Ahmed S. Elwakil

Erschienen in: Design and Implementation of Portable Impedance Analyzers

Verlag: Springer International Publishing

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Abstract

In this chapter, a phase extraction algorithm based on a modified Kramers–Kronig transform is proposed and tested. The proposed algorithm was tested on both simulated and experimental data. Comparison with impedance measurements of fresh and aging tomato samples using a precise industry standard impedance analyzer is carried out and explained. Error and noise analysis of the proposed algorithm is also reported.

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Literatur
1.
Zurück zum Zitat S. Papezova, Signal processing of bioimpedance equipment. Sens. Actuators B Chem. 95, 328–335 (2003)CrossRef S. Papezova, Signal processing of bioimpedance equipment. Sens. Actuators B Chem. 95, 328–335 (2003)CrossRef
2.
Zurück zum Zitat D.D. Macdonald, M. Urquidi-Macdonald, Application of Kramers-Kronig transforms in the analysis of electrochemical systems I. Polarization resistance. J. Electrochem. Soc. 132, 2316–2319 (1985)CrossRef D.D. Macdonald, M. Urquidi-Macdonald, Application of Kramers-Kronig transforms in the analysis of electrochemical systems I. Polarization resistance. J. Electrochem. Soc. 132, 2316–2319 (1985)CrossRef
3.
Zurück zum Zitat M. Urquidi-Macdonald, S. Real, D.D. Macdonald, Application of Kramers-Kronig transforms in the analysis of electrochemical systems II. Transformations in the complex plane. J. Electrochem. Soc. 133, 2018–2024 (1986) M. Urquidi-Macdonald, S. Real, D.D. Macdonald, Application of Kramers-Kronig transforms in the analysis of electrochemical systems II. Transformations in the complex plane. J. Electrochem. Soc. 133, 2018–2024 (1986)
4.
Zurück zum Zitat S.L. Hahn, Hilbert Transforms in Signal Processing (Artech House, Norwood, 1996) S.L. Hahn, Hilbert Transforms in Signal Processing (Artech House, Norwood, 1996)
5.
Zurück zum Zitat R. de L. Kronig, On the theory of dispersion of X-rays. J. Opt. Soc. Am. 12(6), 547–557 (1926)CrossRef R. de L. Kronig, On the theory of dispersion of X-rays. J. Opt. Soc. Am. 12(6), 547–557 (1926)CrossRef
6.
Zurück zum Zitat F.W. King, Hilbert Transforms, vol. 2 (Cambridge University Press, Cambridge, 2009)MATH F.W. King, Hilbert Transforms, vol. 2 (Cambridge University Press, Cambridge, 2009)MATH
7.
Zurück zum Zitat M. Urquidi-Macdonald, S. Real, D.D. Macdonald, Applications of Kramers-Kronig transforms in the analysis of electrochemical impedance data III. Stability and linearity. Electrochim. Acta 35, 1559–1566 (1990)CrossRef M. Urquidi-Macdonald, S. Real, D.D. Macdonald, Applications of Kramers-Kronig transforms in the analysis of electrochemical impedance data III. Stability and linearity. Electrochim. Acta 35, 1559–1566 (1990)CrossRef
8.
Zurück zum Zitat H. Shih, F. Mansfeld, Should the Kramers-Kronig transforms be used for the validation of experimental impedance data. Corrosion 45(4), 325–328 (1989)CrossRef H. Shih, F. Mansfeld, Should the Kramers-Kronig transforms be used for the validation of experimental impedance data. Corrosion 45(4), 325–328 (1989)CrossRef
9.
Zurück zum Zitat H. Shih, F. Mansfeld, Concerning the use of the Kramers-Kronig transforms for the validation of impedance data. Corrosion Sci. 28(9), 933–938 (1988)CrossRef H. Shih, F. Mansfeld, Concerning the use of the Kramers-Kronig transforms for the validation of impedance data. Corrosion Sci. 28(9), 933–938 (1988)CrossRef
10.
Zurück zum Zitat W. Ehm, H. Gohr, R. Kaus, B. Roseler, C. Schiller, The evaluation of electrochemical impedance spectra using a modified logarithmic Hilbert transform. ACH - Models Chem. 137, 145–157 (2000) W. Ehm, H. Gohr, R. Kaus, B. Roseler, C. Schiller, The evaluation of electrochemical impedance spectra using a modified logarithmic Hilbert transform. ACH - Models Chem. 137, 145–157 (2000)
11.
Zurück zum Zitat V.A. Tyagal, G.Y. Kolbasove, Use of the Kreamers-Kronig expressions for the analysis of low-frequency impedance. J. Electrochem. Soc. 8, 54–56 (1972) V.A. Tyagal, G.Y. Kolbasove, Use of the Kreamers-Kronig expressions for the analysis of low-frequency impedance. J. Electrochem. Soc. 8, 54–56 (1972)
12.
Zurück zum Zitat J.M. Esteban, M.E. Orazem, On the application of the Kramers-Kronig relations to evaluate the consistency of electrochemical impedance data. J. Electrochem. Soc. 138, 67–76 (1991)CrossRef J.M. Esteban, M.E. Orazem, On the application of the Kramers-Kronig relations to evaluate the consistency of electrochemical impedance data. J. Electrochem. Soc. 138, 67–76 (1991)CrossRef
13.
Zurück zum Zitat H.W. Bode, Relations between attenuation and phase in feedback amplifier design. Bell Labs Tech. J. 19, 421–454 (1940)CrossRef H.W. Bode, Relations between attenuation and phase in feedback amplifier design. Bell Labs Tech. J. 19, 421–454 (1940)CrossRef
14.
Zurück zum Zitat H.W. Bode et al., Network Analysis and Feedback Amplifier Design (D. Van Nostrand Co., New York, 1945) H.W. Bode et al., Network Analysis and Feedback Amplifier Design (D. Van Nostrand Co., New York, 1945)
15.
Zurück zum Zitat P. Grosse, V. Offermann, Analysis of reflectance data using the Kramers–Kronig relations. Appl. Phys. A 52, 38–144 (1991)CrossRef P. Grosse, V. Offermann, Analysis of reflectance data using the Kramers–Kronig relations. Appl. Phys. A 52, 38–144 (1991)CrossRef
16.
Zurück zum Zitat T. Pritz, Unbounded complex modulus of viscoelastic materials and the Kramers–Kronig relations. J. Sound Vib. 279, 687–697 (2005)CrossRef T. Pritz, Unbounded complex modulus of viscoelastic materials and the Kramers–Kronig relations. J. Sound Vib. 279, 687–697 (2005)CrossRef
17.
Zurück zum Zitat V. Shtrauss, FIR Kramers–Kronig transformers for relaxation data conversion. Signal Process. 86, 2887–2900 (2006)CrossRef V. Shtrauss, FIR Kramers–Kronig transformers for relaxation data conversion. Signal Process. 86, 2887–2900 (2006)CrossRef
18.
Zurück zum Zitat C. Leon, J. Martin, J. Sanatamaria, J. Skarp, G. Gonzalez-Diaz, F. Sanchez-Quesada, Use of Kramers–Kronig transforms for the treatment of admittance spectroscopy data of p-n junctions containing traps. J. Appl. Phys. 79, 7830–7836 (1996)CrossRef C. Leon, J. Martin, J. Sanatamaria, J. Skarp, G. Gonzalez-Diaz, F. Sanchez-Quesada, Use of Kramers–Kronig transforms for the treatment of admittance spectroscopy data of p-n junctions containing traps. J. Appl. Phys. 79, 7830–7836 (1996)CrossRef
20.
Zurück zum Zitat Newton 4th LTD, IAI Impedance Analysis Interface User Manual (2015) Newton 4th LTD, IAI Impedance Analysis Interface User Manual (2015)
21.
Zurück zum Zitat A. Bondarenko, G. Ragoisha, Inverse Problem in Potentiodynamic Electrochemical Impedance (Nova Science Publishers, New York, 2005) A. Bondarenko, G. Ragoisha, Inverse Problem in Potentiodynamic Electrochemical Impedance (Nova Science Publishers, New York, 2005)
Metadaten
Titel
In-Direct Impedance Measurement: Phase Extraction Algorithm
verfasst von
Abdulwadood A. Al-Ali
Brent J. Maundy
Ahmed S. Elwakil
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-030-11784-9_3

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