Abstract
In this paper a comprehensive procedure for the analog modeling of Fractional-Order Elements (FOEs) is presented. Unlike most already proposed techniques, a standard approach from classical circuit theory is applied. It includes the realization of a system function by a mathematical approximation of the desired phase response, and the synthesis procedure for the realization of basic fractional-order (FO) one-port models as passive RC Cauer- and Foster-form canonical circuits. Based on the presented one-ports, simple realizations of two-port differentiator and integrator models are derived. Beside the description of the design procedure, illustrative examples, circuit diagrams, simulation results and practical realizations are presented.
Original language | English |
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Article number | 9500213 |
Pages (from-to) | 110309-110331 |
Number of pages | 23 |
Journal | IEEE Access |
Volume | 9 |
DOIs | |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2013 IEEE.
Funding
This work was fully supported by the Croatian Science Foundation under the project IP-2016-06-1307 ‘‘Fractional Analog and Mixed Systems for Signal Processing’’.
Funders | Funder number |
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Hrvatska Zaklada za Znanost | IP-2016-06-1307 |
Keywords
- Fractional-order element
- approximation
- cauer one-port
- constant-phase element
- foster one-port
- fractional immittance
- fractional-order differentiator and integrator
- synthesis