The Fractional Sallen-Key Filter Described by Local Fractional Derivative

The local fractional derivative (LFD) has attracted wide attention in the field of engineering application. In this paper, the LFD is used to model the fractional Sallen-Key filter for the first time. The non-differentiable(ND) transfer function is obtained by using the local fractional Laplace tran...

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Main Authors:	Kang-Jia Wang, Hong-Chang Sun, Qin-Chao Cui
Format:	Article
Language:	English
Published:	IEEE 2020-01-01
Series:	IEEE Access
Subjects:	Local fractional derivative Sallen-Key filter fractional circuit systems local fractional Laplace transform
Online Access:	https://ieeexplore.ieee.org/document/9187803/

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spelling	doaj-4e17810aadc842009747ff4aeaa045f92021-03-30T03:33:12ZengIEEEIEEE Access2169-35362020-01-01816637716638310.1109/ACCESS.2020.30227989187803The Fractional Sallen-Key Filter Described by Local Fractional DerivativeKang-Jia Wang0Hong-Chang Sun1https://orcid.org/0000-0003-0451-401XQin-Chao Cui2School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, ChinaSchool of Control Science and Engineering, Shandong University, Jinan, ChinaShandong Dawei International Architecture Design Company Ltd., Jinan, ChinaThe local fractional derivative (LFD) has attracted wide attention in the field of engineering application. In this paper, the LFD is used to model the fractional Sallen-Key filter for the first time. The non-differentiable(ND) transfer function is obtained by using the local fractional Laplace transform(LFLT). And the amplitude frequency response is analyzed in detail for different fractional order ς. It is found that the fractional Sallen-Key filter becomes the ordinary one in the special case ς = 1. The obtained results of this paper show the powerful ability of local fractional calculus in the analysis of complex problems arising in engineering fields.https://ieeexplore.ieee.org/document/9187803/Local fractional derivativeSallen-Key filterfractional circuit systemslocal fractional Laplace transform
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kang-Jia Wang Hong-Chang Sun Qin-Chao Cui
spellingShingle	Kang-Jia Wang Hong-Chang Sun Qin-Chao Cui The Fractional Sallen-Key Filter Described by Local Fractional Derivative IEEE Access Local fractional derivative Sallen-Key filter fractional circuit systems local fractional Laplace transform
author_facet	Kang-Jia Wang Hong-Chang Sun Qin-Chao Cui
author_sort	Kang-Jia Wang
title	The Fractional Sallen-Key Filter Described by Local Fractional Derivative
title_short	The Fractional Sallen-Key Filter Described by Local Fractional Derivative
title_full	The Fractional Sallen-Key Filter Described by Local Fractional Derivative
title_fullStr	The Fractional Sallen-Key Filter Described by Local Fractional Derivative
title_full_unstemmed	The Fractional Sallen-Key Filter Described by Local Fractional Derivative
title_sort	fractional sallen-key filter described by local fractional derivative
publisher	IEEE
series	IEEE Access
issn	2169-3536
publishDate	2020-01-01
description	The local fractional derivative (LFD) has attracted wide attention in the field of engineering application. In this paper, the LFD is used to model the fractional Sallen-Key filter for the first time. The non-differentiable(ND) transfer function is obtained by using the local fractional Laplace transform(LFLT). And the amplitude frequency response is analyzed in detail for different fractional order ς. It is found that the fractional Sallen-Key filter becomes the ordinary one in the special case ς = 1. The obtained results of this paper show the powerful ability of local fractional calculus in the analysis of complex problems arising in engineering fields.
topic	Local fractional derivative Sallen-Key filter fractional circuit systems local fractional Laplace transform
url	https://ieeexplore.ieee.org/document/9187803/
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The Fractional Sallen-Key Filter Described by Local Fractional Derivative

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