Approximations of High-Order Fractional Transfer Functions

A. S. Korotkov; Коротков А. С.; A. Kavruk; Каврук А.

doi:10.31857/S0033849423060086

Approximations of High-Order Fractional Transfer Functions

作者: Korotkov A.S.¹, Kavruk A.¹
隶属关系:
1. Peter the Great St. Petersburg Polytechnic University
期: 卷 68, 编号 7 (2023)
页面: 683-692
栏目: ТЕОРИЯ РАДИОТЕХНИЧЕСКИХ ЦЕПЕЙ
URL: https://ruspoj.com/0033-8494/article/view/650502
DOI: https://doi.org/10.31857/S0033849423060086
EDN: https://elibrary.ru/XMOCTE
ID: 650502

如何引用文章

全文:

开放存取

##reader.subscriptionAccessGranted##
受限制的访问

订阅或者付费存取

详细
作者简介
参考
补充文件
统计

详细

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.

关键词

high-order fractional transfer functions, high-order fractional transfer functions

作者简介

A. Korotkov

Peter the Great St. Petersburg Polytechnic University

Email: korotkov@spbstu.ru
St. Petersburg, 195251 Russia

A. Kavruk

Peter the Great St. Petersburg Polytechnic University

编辑信件的主要联系方式.
Email: korotkov@spbstu.ru
St. Petersburg, 195251 Russia

参考

Риман Б. Сочинения. М.: Гостехтеориздат, 1949.
Потапов А.А. // Журн. радиоэлектроники. 2010. № 1. С. 1. http://jre.cplire.ru/jre/jan10/4/text.pdf.
Elwakil A. // IEEE Circuits and Systems Magaz. 2010. V. 10. № 4. P. 40. https://doi.org/10.1109/MCAS.2010.938637
Warrier P., Shah P. // IEEE Access. 2021. V. 9. Article No. 58982. https://doi.org/10.1109/ACCESS.2021.3073033
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
Sladok O., Koton J., Kubanek D. et al. // IEEE Access. 2021. V. 9. Article No. 92178. https://doi.org/10.1109/ACCESS.2021.3091544
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
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
Freeborn T.J. // Circuits, Syst., Signal Process. 2016. V. 35. P. 1983. https://doi.org/10.1007/s00034-015-0226-y
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
Freeborn T., Maundy B., Elwakil A.S. // Mathematical Problems in Engineering. 2015. V. 2015. Article ID 832468. https://doi.org/10.1155/2015/832468
Kubanek D., Freeborn T.J., Koton J., Dvorak J. // Appl. Sci. 2018. V. 8. P. 2603. https://doi.org/10.3390/app8122603
Khovanskii A.N. The Application of Continued Fractions and Their Generalizations to Problems in Approximation Theory. Groningen: Noordhoff, 1963.
Tsirimokou G., Laoudias C., Psychalinos C. // Int. J. Circ. Theor. Appl. 2015. V. 43. P. 1105. https://doi.org/10.1002/cta.1995
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