A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function Approximation
Constant phase elements (CPEs) are commonly used in bioelectronic systems, to model the impedance of bioelectrodes and electrode-electrolyte interfaces. To simulate the systems with an electronic design automation tool, a circuit-simulator-compatible model of the CPE is required to use bioelectrodes...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Journal of the Electron Devices Society |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10174627/ |
| _version_ | 1797376377333219328 |
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| author | Yangkun Hou Taoming Guo Manohar Bance Chen Jiang |
| author_facet | Yangkun Hou Taoming Guo Manohar Bance Chen Jiang |
| author_sort | Yangkun Hou |
| collection | DOAJ |
| description | Constant phase elements (CPEs) are commonly used in bioelectronic systems, to model the impedance of bioelectrodes and electrode-electrolyte interfaces. To simulate the systems with an electronic design automation tool, a circuit-simulator-compatible model of the CPE is required to use bioelectrodes in circuit simulation. This paper applies rational function approximation to the impedance of CPEs as a function of frequency, which is able to be implemented with Verilog-A language. In comparison to previously published works which simply approximate a CPE into several serially connected RCs, our work illustrates the theoretical basis behind the approximation with RCs and provides a method perform the approximation, thus resulting in a smaller relative root mean square error of impedance magnitude and phase (4 orders of magnitude lower using 25 RCs) within a bounded frequency range. To validate the model accuracy, it is applied to the modeling of human cochleae, with the simulated results correlating well with the measured results. Furthermore, this model is implemented in a circuit that includes a bioelectrode and a thin-film transistor switch, showing the capability for circuit simulation with CPEs. |
| first_indexed | 2024-03-08T19:38:49Z |
| format | Article |
| id | doaj.art-cba4428edaf7419c8ffdae76c256ef95 |
| institution | Directory Open Access Journal |
| issn | 2168-6734 |
| language | English |
| last_indexed | 2024-03-08T19:38:49Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Journal of the Electron Devices Society |
| spelling | doaj.art-cba4428edaf7419c8ffdae76c256ef952023-12-26T00:01:39ZengIEEEIEEE Journal of the Electron Devices Society2168-67342023-01-011172673310.1109/JEDS.2023.329282410174627A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function ApproximationYangkun Hou0https://orcid.org/0009-0007-9036-2783Taoming Guo1https://orcid.org/0000-0002-8461-4784Manohar Bance2https://orcid.org/0000-0001-8050-3617Chen Jiang3https://orcid.org/0000-0002-6806-5324Department of Electronic Engineering, Tsinghua University, Beijing, ChinaDepartment of Electronic Engineering, Tsinghua University, Beijing, ChinaDepartment of Medicine, University of Cambridge, Cambridge, U.K.Department of Electronic Engineering, Tsinghua University, Beijing, ChinaConstant phase elements (CPEs) are commonly used in bioelectronic systems, to model the impedance of bioelectrodes and electrode-electrolyte interfaces. To simulate the systems with an electronic design automation tool, a circuit-simulator-compatible model of the CPE is required to use bioelectrodes in circuit simulation. This paper applies rational function approximation to the impedance of CPEs as a function of frequency, which is able to be implemented with Verilog-A language. In comparison to previously published works which simply approximate a CPE into several serially connected RCs, our work illustrates the theoretical basis behind the approximation with RCs and provides a method perform the approximation, thus resulting in a smaller relative root mean square error of impedance magnitude and phase (4 orders of magnitude lower using 25 RCs) within a bounded frequency range. To validate the model accuracy, it is applied to the modeling of human cochleae, with the simulated results correlating well with the measured results. Furthermore, this model is implemented in a circuit that includes a bioelectrode and a thin-film transistor switch, showing the capability for circuit simulation with CPEs.https://ieeexplore.ieee.org/document/10174627/Constant phase elementverilog-A modelrational function approximation |
| spellingShingle | Yangkun Hou Taoming Guo Manohar Bance Chen Jiang A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function Approximation IEEE Journal of the Electron Devices Society Constant phase element verilog-A model rational function approximation |
| title | A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function Approximation |
| title_full | A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function Approximation |
| title_fullStr | A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function Approximation |
| title_full_unstemmed | A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function Approximation |
| title_short | A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function Approximation |
| title_sort | high precision circuit simulator compatible model for constant phase element using rational function approximation |
| topic | Constant phase element verilog-A model rational function approximation |
| url | https://ieeexplore.ieee.org/document/10174627/ |
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