Analysis and Passive Synthesis of Immittance for Fractional-Order Two-Element-Kind Circuit
Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in frac...
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| Autor*in: |
Liang, Guishu [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Circuits, systems and signal processing - Springer US, 1982, 38(2019), 8 vom: 25. Jan., Seite 3661-3681 |
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| Übergeordnetes Werk: |
volume:38 ; year:2019 ; number:8 ; day:25 ; month:01 ; pages:3661-3681 |
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| DOI / URN: |
10.1007/s00034-019-01035-y |
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OLC2034855450 |
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| 520 | |a Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. | ||
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10.1007/s00034-019-01035-y doi (DE-627)OLC2034855450 (DE-He213)s00034-019-01035-y-p DE-627 ger DE-627 rakwb eng 600 VZ Liang, Guishu verfasserin aut Analysis and Passive Synthesis of Immittance for Fractional-Order Two-Element-Kind Circuit 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. Fractional circuits Fractional-order impedance Network synthesis Analysis Impedance scaling Hao, Jiawei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2019), 8 vom: 25. Jan., Seite 3661-3681 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2019 number:8 day:25 month:01 pages:3661-3681 https://doi.org/10.1007/s00034-019-01035-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2019 8 25 01 3661-3681 |
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10.1007/s00034-019-01035-y doi (DE-627)OLC2034855450 (DE-He213)s00034-019-01035-y-p DE-627 ger DE-627 rakwb eng 600 VZ Liang, Guishu verfasserin aut Analysis and Passive Synthesis of Immittance for Fractional-Order Two-Element-Kind Circuit 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. Fractional circuits Fractional-order impedance Network synthesis Analysis Impedance scaling Hao, Jiawei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2019), 8 vom: 25. Jan., Seite 3661-3681 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2019 number:8 day:25 month:01 pages:3661-3681 https://doi.org/10.1007/s00034-019-01035-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2019 8 25 01 3661-3681 |
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10.1007/s00034-019-01035-y doi (DE-627)OLC2034855450 (DE-He213)s00034-019-01035-y-p DE-627 ger DE-627 rakwb eng 600 VZ Liang, Guishu verfasserin aut Analysis and Passive Synthesis of Immittance for Fractional-Order Two-Element-Kind Circuit 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. Fractional circuits Fractional-order impedance Network synthesis Analysis Impedance scaling Hao, Jiawei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2019), 8 vom: 25. Jan., Seite 3661-3681 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2019 number:8 day:25 month:01 pages:3661-3681 https://doi.org/10.1007/s00034-019-01035-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2019 8 25 01 3661-3681 |
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10.1007/s00034-019-01035-y doi (DE-627)OLC2034855450 (DE-He213)s00034-019-01035-y-p DE-627 ger DE-627 rakwb eng 600 VZ Liang, Guishu verfasserin aut Analysis and Passive Synthesis of Immittance for Fractional-Order Two-Element-Kind Circuit 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. Fractional circuits Fractional-order impedance Network synthesis Analysis Impedance scaling Hao, Jiawei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2019), 8 vom: 25. Jan., Seite 3661-3681 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2019 number:8 day:25 month:01 pages:3661-3681 https://doi.org/10.1007/s00034-019-01035-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2019 8 25 01 3661-3681 |
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10.1007/s00034-019-01035-y doi (DE-627)OLC2034855450 (DE-He213)s00034-019-01035-y-p DE-627 ger DE-627 rakwb eng 600 VZ Liang, Guishu verfasserin aut Analysis and Passive Synthesis of Immittance for Fractional-Order Two-Element-Kind Circuit 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. Fractional circuits Fractional-order impedance Network synthesis Analysis Impedance scaling Hao, Jiawei aut Enthalten in Circuits, systems and signal processing Springer US, 1982 38(2019), 8 vom: 25. Jan., Seite 3661-3681 (DE-627)130312134 (DE-600)588684-3 (DE-576)015889939 0278-081X nnns volume:38 year:2019 number:8 day:25 month:01 pages:3661-3681 https://doi.org/10.1007/s00034-019-01035-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 GBV_ILN_2244 AR 38 2019 8 25 01 3661-3681 |
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Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2034855450</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230331225036.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2019 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00034-019-01035-y</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2034855450</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00034-019-01035-y-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">600</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Liang, Guishu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Analysis and Passive Synthesis of Immittance for Fractional-Order Two-Element-Kind Circuit</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC, part of Springer Nature 2019</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Fractional circuits have attracted an extensive attention of scholars and researchers for their superior performance and potential applications. The passive realization of the fractional-order immittance function plays an important role in fractional circuits theory, which is useful in fractional circuits design and modeling. This paper deals with the analysis and passive synthesis of fractional two-element-kind network. Firstly, the time-domain response of fractional two-element-kind network is analyzed based on its immittance function expressions, and the response shows oscillation only in fractional $$ L_{\beta } C_{\alpha } $$ circuits. Then, necessary and sufficient conditions to realize the fractional-order immittance functions by a passive network with only two kinds of elements are obtained in view of impedance scaling. A procedure is also proposed to realize such immittance functions using two-element-kind network. Finally, three examples are given to illustrate the proposed method.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional circuits</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional-order impedance</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Network synthesis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Impedance scaling</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hao, Jiawei</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Circuits, systems and signal processing</subfield><subfield code="d">Springer US, 1982</subfield><subfield code="g">38(2019), 8 vom: 25. Jan., Seite 3661-3681</subfield><subfield code="w">(DE-627)130312134</subfield><subfield code="w">(DE-600)588684-3</subfield><subfield code="w">(DE-576)015889939</subfield><subfield code="x">0278-081X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:38</subfield><subfield code="g">year:2019</subfield><subfield code="g">number:8</subfield><subfield code="g">day:25</subfield><subfield code="g">month:01</subfield><subfield code="g">pages:3661-3681</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00034-019-01035-y</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2244</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">38</subfield><subfield code="j">2019</subfield><subfield code="e">8</subfield><subfield code="b">25</subfield><subfield code="c">01</subfield><subfield code="h">3661-3681</subfield></datafield></record></collection>
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