Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit

As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractio...
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Autor*in:	Guishu Liang [verfasserIn] Jiawei Hao [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis

Übergeordnetes Werk:	In: IEEE Access - IEEE, 2014, 7(2019), Seite 58307-58313
Übergeordnetes Werk:	volume:7 ; year:2019 ; pages:58307-58313

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1109/ACCESS.2019.2913911

Katalog-ID:	DOAJ051971089

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allfields	10.1109/ACCESS.2019.2913911 doi (DE-627)DOAJ051971089 (DE-599)DOAJfe723869ab8c4c65a9a3b50b26a45071 DE-627 ger DE-627 rakwb eng TK1-9971 Guishu Liang verfasserin aut Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method. Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis Electrical engineering. Electronics. Nuclear engineering Jiawei Hao verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 58307-58313 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:58307-58313 https://doi.org/10.1109/ACCESS.2019.2913911 kostenfrei https://doaj.org/article/fe723869ab8c4c65a9a3b50b26a45071 kostenfrei https://ieeexplore.ieee.org/document/8701625/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2019 58307-58313
spelling	10.1109/ACCESS.2019.2913911 doi (DE-627)DOAJ051971089 (DE-599)DOAJfe723869ab8c4c65a9a3b50b26a45071 DE-627 ger DE-627 rakwb eng TK1-9971 Guishu Liang verfasserin aut Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method. Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis Electrical engineering. Electronics. Nuclear engineering Jiawei Hao verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 58307-58313 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:58307-58313 https://doi.org/10.1109/ACCESS.2019.2913911 kostenfrei https://doaj.org/article/fe723869ab8c4c65a9a3b50b26a45071 kostenfrei https://ieeexplore.ieee.org/document/8701625/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2019 58307-58313
allfields_unstemmed	10.1109/ACCESS.2019.2913911 doi (DE-627)DOAJ051971089 (DE-599)DOAJfe723869ab8c4c65a9a3b50b26a45071 DE-627 ger DE-627 rakwb eng TK1-9971 Guishu Liang verfasserin aut Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method. Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis Electrical engineering. Electronics. Nuclear engineering Jiawei Hao verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 58307-58313 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:58307-58313 https://doi.org/10.1109/ACCESS.2019.2913911 kostenfrei https://doaj.org/article/fe723869ab8c4c65a9a3b50b26a45071 kostenfrei https://ieeexplore.ieee.org/document/8701625/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2019 58307-58313
allfieldsGer	10.1109/ACCESS.2019.2913911 doi (DE-627)DOAJ051971089 (DE-599)DOAJfe723869ab8c4c65a9a3b50b26a45071 DE-627 ger DE-627 rakwb eng TK1-9971 Guishu Liang verfasserin aut Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method. Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis Electrical engineering. Electronics. Nuclear engineering Jiawei Hao verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 58307-58313 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:58307-58313 https://doi.org/10.1109/ACCESS.2019.2913911 kostenfrei https://doaj.org/article/fe723869ab8c4c65a9a3b50b26a45071 kostenfrei https://ieeexplore.ieee.org/document/8701625/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2019 58307-58313
allfieldsSound	10.1109/ACCESS.2019.2913911 doi (DE-627)DOAJ051971089 (DE-599)DOAJfe723869ab8c4c65a9a3b50b26a45071 DE-627 ger DE-627 rakwb eng TK1-9971 Guishu Liang verfasserin aut Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method. Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis Electrical engineering. Electronics. Nuclear engineering Jiawei Hao verfasserin aut In IEEE Access IEEE, 2014 7(2019), Seite 58307-58313 (DE-627)728440385 (DE-600)2687964-5 21693536 nnns volume:7 year:2019 pages:58307-58313 https://doi.org/10.1109/ACCESS.2019.2913911 kostenfrei https://doaj.org/article/fe723869ab8c4c65a9a3b50b26a45071 kostenfrei https://ieeexplore.ieee.org/document/8701625/ kostenfrei https://doaj.org/toc/2169-3536 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2019 58307-58313
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topic_facet	Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis Electrical engineering. Electronics. Nuclear engineering
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callnumber-first	T - Technology
author	Guishu Liang
spellingShingle	Guishu Liang misc TK1-9971 misc Fractional circuits misc passive synthesis misc fractional-order impedance misc impedance scaling misc multivariable synthesis misc Electrical engineering. Electronics. Nuclear engineering Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit
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topic_title	TK1-9971 Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit Fractional circuits passive synthesis fractional-order impedance impedance scaling multivariable synthesis
topic	misc TK1-9971 misc Fractional circuits misc passive synthesis misc fractional-order impedance misc impedance scaling misc multivariable synthesis misc Electrical engineering. Electronics. Nuclear engineering
topic_unstemmed	misc TK1-9971 misc Fractional circuits misc passive synthesis misc fractional-order impedance misc impedance scaling misc multivariable synthesis misc Electrical engineering. Electronics. Nuclear engineering
topic_browse	misc TK1-9971 misc Fractional circuits misc passive synthesis misc fractional-order impedance misc impedance scaling misc multivariable synthesis misc Electrical engineering. Electronics. Nuclear engineering
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title	Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit
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title_sort	passive synthesis of immittance for fractional-order three-element-kind circuit
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title_auth	Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit
abstract	As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method.
abstractGer	As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method.
abstract_unstemmed	As an interdisciplinary research area, fractional circuits and systems have attracted extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order (FO) immittance function plays an important role in fractional circuits' theory, which is useful in fractional circuit design and modeling. This paper deals with the passive synthesis of FO three-element-kind circuits. First, the method is given for judging the immittance functions of FO three-element-kind circuits. Then, by making use of impedance scaling and variable substitution, the synthesis method of such an FO immittance function is proposed, which is based on the bivariate reactance synthesis method. Finally, a procedure is proposed to realize such immittance functions using the three-element-kind circuit. And several examples are given to illustrate the proposed method.
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title_short	Passive Synthesis of Immittance for Fractional-Order Three-Element-Kind Circuit
url	https://doi.org/10.1109/ACCESS.2019.2913911 https://doaj.org/article/fe723869ab8c4c65a9a3b50b26a45071 https://ieeexplore.ieee.org/document/8701625/ https://doaj.org/toc/2169-3536
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