A Novel Method for Estimating the Fractional Cole Impedance Model Using Single-Frequency DC-Biased Sinusoidal Excitation

Zhang, Fu; Teng, Zhaosheng; Yang, Yuxiang; Zhong, Haowen; Li, Jianmin; Rutkove, Seward B.; Sanchez, Benjamin

doi:10.1007/s00034-020-01512-9

Cited by 9 publications

(6 citation statements)

References 35 publications

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“…Moreover, the selected Cole impedance circuits are welded to a printed circuit board, on which four sockets can be connected to the corresponding four-electrode interface of the bioimpedance system via the adapters. The more detailed information about the measurement system can refer to Zhang et al 32 The experiment measurements are conducted as follows: First, a multisine voltage signal defined in (27) with 31 harmonically related sinusoidal components is generated by the STEMLab measurement platform, whose amplitude spectrum is flat (A…”

Section: Experiments Verificationmentioning

confidence: 99%

“…In addition, the potential applications of such TDR analysis method will be further developed, such as parameter estimation of fractional-order model for electrochemistry 33 and biological systems. 32…”

Section: Experiments Verificationmentioning

confidence: 99%

“…Moreover, the selected Cole impedance circuits are welded to a printed circuit board, on which four sockets can be connected to the corresponding four‐electrode interface of the bioimpedance system via the adapters. The more detailed information about the measurement system can refer to Zhang et al 32 …”

Section: Simulations and Experimentsmentioning

confidence: 99%

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Analysis of time‐domain response of series‐parallel fractional‐order RC_α and RL_β circuits based on Cole distribution function

Zhang

Chen

Lin

et al. 2023

Circuit Theory & Apps

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Summary Fractional‐order circuits, which contain fractance devices ( Lβ and Cα) described by fractional‐order differential equations, are widely used in interdisciplinary engineering research. The application of time‐domain response (TDR) measurement increases rapidly in analyzing the characteristics of fractance devices and fractional‐order circuits. However, the previous methods are mainly focused on deducing TDR expressions of a single fractance device or series fractional‐order circuits in some specific input signals, while overlook the TDR analysis of series‐parallel fractional‐order circuits (SPFOC) that are commonly applied in modeling electrochemical impedance or electrical bioimpedance. This paper proposes a novel method to derive TDR expressions of SPFOC in an arbitrary periodic signal. First, a discretization method to represent the SPFOC as the sum of first‐order circuits is proposed in Cole distribution function, which could approximate the transfer function of fractional‐order impedance/admittance. Second, the TDR expression of SPFOC in sinusoidal input signals is deduced in inverse Laplace transform, which can be applied as the components of a general TDR expression of SPFOC in an arbitrary periodic signal based on the Fourier series theory. Finally, both TDR simulations and experiments on Cole impedance model (a basic SPFOC) are conducted to verify the proposed method, which shows excellent agreement compared to theorical analysis. This paper presents a TDR solution to SPFOC that consist of a RCα or RLβ element. In future, the theoretical and application extension of the proposed TDR analysis method is still necessary on analysis of more general fractional‐order circuits.

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Section: Experiments Verificationmentioning

confidence: 99%

Section: Experiments Verificationmentioning

confidence: 99%

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Analysis of time‐domain response of series‐parallel fractional‐order RC_α and RL_β circuits based on Cole distribution function

Zhang

Chen

Lin

et al. 2023

Circuit Theory & Apps

Self Cite

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“…As parameterization is of paramount interest, these algorithms ought to allow the calculation of the Cole model. In this order of ideas, it is necessary to mention the research by 19 – 22 , all of whom have developed low complexity hardware systems using different techniques for measurement and mathematical extraction or optimization of parameters, based in the analysis of time domain signals. These three approaches basically implement techniques based in: tuning of oscillators at two frequencies 19 , 20 , characterization through a simple triangular signal 21 , and the application of a DC-biased AC signal 22 .…”

Section: Introductionmentioning

confidence: 99%

“…In this order of ideas, it is necessary to mention the research by 19 – 22 , all of whom have developed low complexity hardware systems using different techniques for measurement and mathematical extraction or optimization of parameters, based in the analysis of time domain signals. These three approaches basically implement techniques based in: tuning of oscillators at two frequencies 19 , 20 , characterization through a simple triangular signal 21 , and the application of a DC-biased AC signal 22 . However, our research is not focused on the development of new hardware based measuring methods, but in the test the proposal 3P method, for future development of a new software able to parameterize spectra acquired in the traditional way.…”

Section: Introductionmentioning

confidence: 99%

Preliminary study on parameterization of raw electrical bioimpedance data with 3 frequencies

González-Correa

Jaimes

Cárdenas-Jiménez

2022

Sci Rep

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This study tests the geometrical parameterization method for Electrical Bio-Impedance Spectroscopy (EBIS) readings previously proposed by one of the authors. This method uses the data of just three frequencies (therefore called 3P method). The test was carried out by the analysis of parameterization from 26 spectra (selected from 13 data sets) by the non-linear square (NLS) method, the 3P method and a combination of the two (3P-NLS). Additionally, the behaviour of the 3P method for 4 levels of noise and 3 different ways of segmenting the spectra were also explored with a MATLAB simulation of 400 spectra. Finally, a system for the classification of EBIS readings is presented, based on deviations of the raw data from the semi-circle obtained by the parameterization methods. Overall, the results suggest a very good performance of the 3P method when compared with the other two. The 3P method performs very well with levels of noise of 1 and 2%, but performs poorly with levels of noise of 5% and 10%. The results support the idea that the 3P method could be used with confidence for the parameterization of EBIS spectra, after the selection of three adequate frequencies according to specific applications.

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Fractional Model of a Fractor

Bohannan,

Valério,

Ortigueira

2024

IFAC-PapersOnLine

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A Novel Method for Estimating the Fractional Cole Impedance Model Using Single-Frequency DC-Biased Sinusoidal Excitation

Cited by 9 publications

References 35 publications

Analysis of time‐domain response of series‐parallel fractional‐order RC_α and RL_β circuits based on Cole distribution function

Analysis of time‐domain response of series‐parallel fractional‐order RC_α and RL_β circuits based on Cole distribution function

Preliminary study on parameterization of raw electrical bioimpedance data with 3 frequencies

Fractional Model of a Fractor

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A Novel Method for Estimating the Fractional Cole Impedance Model Using Single-Frequency DC-Biased Sinusoidal Excitation

Cited by 9 publications

References 35 publications

Analysis of time‐domain response of series‐parallel fractional‐order RCα and RLβ circuits based on Cole distribution function

Analysis of time‐domain response of series‐parallel fractional‐order RCα and RLβ circuits based on Cole distribution function

Preliminary study on parameterization of raw electrical bioimpedance data with 3 frequencies

Fractional Model of a Fractor

Contact Info

Product

Resources

About

Analysis of time‐domain response of series‐parallel fractional‐order RC_α and RL_β circuits based on Cole distribution function

Analysis of time‐domain response of series‐parallel fractional‐order RC_α and RL_β circuits based on Cole distribution function