Approximations of High-Order Fractional Transfer Functions
- Authors: Korotkov A.S.1, Kavruk A.1
- 
							Affiliations: 
							- Peter the Great St. Petersburg Polytechnic University
 
- Issue: Vol 68, No 7 (2023)
- Pages: 683-692
- Section: 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
Cite item
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.
About the authors
A. S. 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
							Author for correspondence.
							Email: korotkov@spbstu.ru
				                					                																			                												                								St. Petersburg, 195251 Russia						
References
- 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
Supplementary files
 
				
			 
					 
						 
						 
						 
						 
									

 
  
  
  Email this article
			Email this article 
 Open Access
		                                Open Access Access granted
						Access granted Subscription or Fee Access
		                                							Subscription or Fee Access
		                                					






