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On the calculation of the D-optimal multisine excitation power spectrum for broadband impedance spectroscopy measurements
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-0355-2663
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2012 (English)In: Measurement science and technology, ISSN 0957-0233, E-ISSN 1361-6501, Vol. 23, no 8, 085702- p.Article in journal (Refereed) Published
Abstract [en]

The successful application of impedance spectroscopy in daily practice requires accurate measurements for modeling complex physiological or electrochemical phenomena in a single frequency or several frequencies at different (or simultaneous) time instants. Nowadays, two approaches are possible for frequency domain impedance spectroscopy measurements: (1) using the classical technique of frequency sweep and (2) using (non-)periodic broadband signals, i.e. multisine excitations. Both techniques share the common problem of how to design the experimental conditions, e.g. the excitation power spectrum, in order to achieve accuracy of maximum impedance model parameters from the impedance data modeling process. The original contribution of this paper is the calculation and design of the D-optimal multisine excitation power spectrum for measuring impedance systems modeled as 2R-1C equivalent electrical circuits. The extension of the results presented for more complex impedance models is also discussed. The influence of the multisine power spectrum on the accuracy of the impedance model parameters is analyzed based on the Fisher information matrix. Furthermore, the optimal measuring frequency range is given based on the properties of the covariance matrix. Finally, simulations and experimental results are provided to validate the theoretical aspects presented.

Place, publisher, year, edition, pages
2012. Vol. 23, no 8, 085702- p.
Keyword [en]
electrical bio-impedance (EBI), electrical impedance spectroscopy (EIS), experiment design, input, multisine excitation, signals
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-100288DOI: 10.1088/0957-0233/23/8/085702ISI: 000306366600054ScopusID: 2-s2.0-84863921536OAI: diva2:543230
Swedish Research Council, 621-2011-5890EU, European Research Council, 267381ICT - The Next Generation

QC 20120807

Available from: 2012-08-07 Created: 2012-08-06 Last updated: 2013-04-11Bibliographically approved

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Rojas, Cristian R.
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