- PII
- 10.31857/S0033849423060086-1
- DOI
- 10.31857/S0033849423060086
- Publication type
- Status
- Published
- Authors
- Volume/ Edition
- Volume 68 / Issue number 7
- Pages
- 683-692
- Abstract
- Various solutions of the problem of approximation of high-order fractional transfer functions are considered and a technique for solving the stability problem for such functions is shown. The existing solutions of the problem of approximating function pα are compared with those proposed on the basis of the least mean square error criterion. As an example, the results of filter simulation using the proposed solution are presented.
- Keywords
- high-order fractional transfer functions high-order fractional transfer functions
- Date of publication
- 16.09.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 13
References
- 1. Риман Б. Сочинения. М.: Гостехтеориздат, 1949.
- 2. Потапов А.А. // Журн. радиоэлектроники. 2010. № 1. С. 1. http://jre.cplire.ru/jre/jan10/4/text.pdf.
- 3. Elwakil A. // IEEE Circuits and Systems Magaz. 2010. V. 10. № 4. P. 40. https://doi.org/10.1109/MCAS.2010.938637
- 4. Warrier P., Shah P. // IEEE Access. 2021. V. 9. Article No. 58982. https://doi.org/10.1109/ACCESS.2021.3073033
- 5. Psychalinos C., Elwakil A., Allagui A., Tepljakov A. // Int. J. Electron. Commun. (AEÜ). 2017. V. 81. P. 132. https://doi.org/10.1016/j.aeue.2017.07.016
- 6. Sladok O., Koton J., Kubanek D. et al. // IEEE Access. 2021. V. 9. Article No. 92178. https://doi.org/10.1109/ACCESS.2021.3091544
- 7. Radwan A.G., Soliman A.M., Elwakil A.S., Sedeek A. // Chaos, Solitons & Fractals. 2009. V. 40. P. 2317. https://doi.org/10.1016/j.chaos.2007.10.033
- 8. Soltan A., Radwan A.G., Soliman A.M. // Circuits, Syst., Signal Process. 2015. V. 34. P. 1461. https://doi.org/10.1007/s00034-014-9925-z
- 9. Freeborn T.J. // Circuits, Syst., Signal Process. 2016. V. 35. P. 1983. https://doi.org/10.1007/s00034-015-0226-y
- 10. Maundy B., Elwakil A.S., Freeborn T.J. // Signal Processing. 2011. V. 91. P. 484. https://doi.org/10.1016/j.sigpro.2010.06.018
- 11. Freeborn T., Maundy B., Elwakil A.S. // Mathematical Problems in Engineering. 2015. V. 2015. Article ID 832468. https://doi.org/10.1155/2015/832468
- 12. Kubanek D., Freeborn T.J., Koton J., Dvorak J. // Appl. Sci. 2018. V. 8. P. 2603. https://doi.org/10.3390/app8122603
- 13. Khovanskii A.N. The Application of Continued Fractions and Their Generalizations to Problems in Approximation Theory. Groningen: Noordhoff, 1963.
- 14. Tsirimokou G., Laoudias C., Psychalinos C. // Int. J. Circ. Theor. Appl. 2015. V. 43. P. 1105. https://doi.org/10.1002/cta.1995
- 15. Freeborn T.J., Maundy B., Elwakil A.S. // IET Circuits Devices Syst. 2010. V. 4. № 6. P. 514. https://doi.org/10.1049/iet-cds.2010.0141L
