Email this article IDEALIZED PASSIVE ELEMENTS OF COMPLEX FRACTIONAL ORDER. PART 2. FREQUENCY CHARACTERISTICS. SYNTHESIS CRITERIA
- Authors: Nikitov S.A.1, Gil’mutdinov A.K.2,3, Shakhturin D.V.2
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Affiliations:
- Kotelnikov Institute of Radioengineering and Electronics of RAS
- Kazan National Research Technical University named after A.N. Tupolev-KAI
- Scientific and Production Association “Radioelectronics” named after V.I. Shimko
- Issue: Vol 70, No 5 (2025)
- Pages: 429-436
- Section: ON THE 70th ANNIVERSARY OF S.A. NIKITOV
- URL: https://kazanmedjournal.ru/0033-8494/article/view/691157
- DOI: https://doi.org/10.31857/S0033849425050015
- EDN: https://elibrary.ru/qjlbiu
- ID: 691157
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Abstract
Expressions for all frequency characteristics of the input impedance of an idealized passive element of complex fractional order (IPE CFO), i.e. an ideal complex fractal element (ICFE), are obtained. The frequency characteristics of the IPE CFO are presented. The frequency characteristics of the last events of the IPE CFO are considered: elements with a constant phase, with a constant amplitude, and elements with a linear phase. The synthesis criteria for all variants of the ICFE are presented.
About the authors
S. A. Nikitov
Kotelnikov Institute of Radioengineering and Electronics of RAS
Email: agilmutdinov@rambler.ru
Mokhovaya Str., 11, build. 7, Moscow, 125009 Russian Federation
A. K. Gil’mutdinov
Kazan National Research Technical University named after A.N. Tupolev-KAI; Scientific and Production Association “Radioelectronics” named after V.I. Shimko
Email: agilmutdinov@rambler.ru
K. Marks Str., 10, Kazan, 420111 Russian Federation; Zhurnalistov Str., 50, Kazan, 420029 Russian Federation
D. V. Shakhturin
Kazan National Research Technical University named after A.N. Tupolev-KAI
Author for correspondence.
Email: agilmutdinov@rambler.ru
K. Marks Str., 10, Kazan, 420111 Russian Federation
References
- Никитов С.А., Гильмутдинов А.Х., Шахтурин Д.В. // РЭ. 2025. Т. 70. № 4. С. 355.
- Shah Z.M., Kathjoo M.Y., Khanday F.A. et al. // Microelectron J. 2019. V. 84. P. 9. https://doi.org/10.1016/j.mejo.2018.12.010
- Фрактальные элементы: пионерские конструктивно-технологические реализации/Под. ред. А. Х. Гильмутдинова. М.: Физматлит, 2020.
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