FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders
A simple and direct procedure for implementing fractional-order filters with transfer functions that contain Laplace operators of different fractional orders is presented in this work. Based on a general fractional-order transfer function that describes fractional-order low-pass, high-pass, band-pas...
Ausführliche Beschreibung
Autor*in: |
Stavroula Kapoulea [verfasserIn] Costas Psychalinos [verfasserIn] Ahmed S. Elwakil [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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Schlagwörter: |
curve-fitting approximation technique |
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Übergeordnetes Werk: |
In: Fractal and Fractional - MDPI AG, 2018, 5(2021), 4, p 218 |
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Übergeordnetes Werk: |
volume:5 ; year:2021 ; number:4, p 218 |
Links: |
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DOI / URN: |
10.3390/fractalfract5040218 |
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Katalog-ID: |
DOAJ016640012 |
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10.3390/fractalfract5040218 doi (DE-627)DOAJ016640012 (DE-599)DOAJ51a5c1afb3ed41bcb0c74d7bad3a8d6d DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Stavroula Kapoulea verfasserin aut FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A simple and direct procedure for implementing fractional-order filters with transfer functions that contain Laplace operators of different fractional orders is presented in this work. Based on a general fractional-order transfer function that describes fractional-order low-pass, high-pass, band-pass, band-stop and all-pass filters, the introduced concept deals with the consideration of this function as a whole, with its approximation being performed using a curve-fitting-based technique. Compared to the conventional procedure, where each fractional-order Laplace operator of the transfer function is individually approximated, the main offered benefit is the significant reduction in the order of the resulting rational function. Experimental results, obtained using a field-programmable analog array device, verify the validity of this concept. fractional-order filters curve-fitting approximation technique oustaloup approximation method field-programmable analog array Thermodynamics Mathematics Analysis Costas Psychalinos verfasserin aut Ahmed S. Elwakil verfasserin aut In Fractal and Fractional MDPI AG, 2018 5(2021), 4, p 218 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:5 year:2021 number:4, p 218 https://doi.org/10.3390/fractalfract5040218 kostenfrei https://doaj.org/article/51a5c1afb3ed41bcb0c74d7bad3a8d6d kostenfrei https://www.mdpi.com/2504-3110/5/4/218 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 5 2021 4, p 218 |
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10.3390/fractalfract5040218 doi (DE-627)DOAJ016640012 (DE-599)DOAJ51a5c1afb3ed41bcb0c74d7bad3a8d6d DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Stavroula Kapoulea verfasserin aut FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A simple and direct procedure for implementing fractional-order filters with transfer functions that contain Laplace operators of different fractional orders is presented in this work. Based on a general fractional-order transfer function that describes fractional-order low-pass, high-pass, band-pass, band-stop and all-pass filters, the introduced concept deals with the consideration of this function as a whole, with its approximation being performed using a curve-fitting-based technique. Compared to the conventional procedure, where each fractional-order Laplace operator of the transfer function is individually approximated, the main offered benefit is the significant reduction in the order of the resulting rational function. Experimental results, obtained using a field-programmable analog array device, verify the validity of this concept. fractional-order filters curve-fitting approximation technique oustaloup approximation method field-programmable analog array Thermodynamics Mathematics Analysis Costas Psychalinos verfasserin aut Ahmed S. Elwakil verfasserin aut In Fractal and Fractional MDPI AG, 2018 5(2021), 4, p 218 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:5 year:2021 number:4, p 218 https://doi.org/10.3390/fractalfract5040218 kostenfrei https://doaj.org/article/51a5c1afb3ed41bcb0c74d7bad3a8d6d kostenfrei https://www.mdpi.com/2504-3110/5/4/218 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 5 2021 4, p 218 |
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10.3390/fractalfract5040218 doi (DE-627)DOAJ016640012 (DE-599)DOAJ51a5c1afb3ed41bcb0c74d7bad3a8d6d DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Stavroula Kapoulea verfasserin aut FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A simple and direct procedure for implementing fractional-order filters with transfer functions that contain Laplace operators of different fractional orders is presented in this work. Based on a general fractional-order transfer function that describes fractional-order low-pass, high-pass, band-pass, band-stop and all-pass filters, the introduced concept deals with the consideration of this function as a whole, with its approximation being performed using a curve-fitting-based technique. Compared to the conventional procedure, where each fractional-order Laplace operator of the transfer function is individually approximated, the main offered benefit is the significant reduction in the order of the resulting rational function. Experimental results, obtained using a field-programmable analog array device, verify the validity of this concept. fractional-order filters curve-fitting approximation technique oustaloup approximation method field-programmable analog array Thermodynamics Mathematics Analysis Costas Psychalinos verfasserin aut Ahmed S. Elwakil verfasserin aut In Fractal and Fractional MDPI AG, 2018 5(2021), 4, p 218 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:5 year:2021 number:4, p 218 https://doi.org/10.3390/fractalfract5040218 kostenfrei https://doaj.org/article/51a5c1afb3ed41bcb0c74d7bad3a8d6d kostenfrei https://www.mdpi.com/2504-3110/5/4/218 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 5 2021 4, p 218 |
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10.3390/fractalfract5040218 doi (DE-627)DOAJ016640012 (DE-599)DOAJ51a5c1afb3ed41bcb0c74d7bad3a8d6d DE-627 ger DE-627 rakwb eng QC310.15-319 QA1-939 QA299.6-433 Stavroula Kapoulea verfasserin aut FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A simple and direct procedure for implementing fractional-order filters with transfer functions that contain Laplace operators of different fractional orders is presented in this work. Based on a general fractional-order transfer function that describes fractional-order low-pass, high-pass, band-pass, band-stop and all-pass filters, the introduced concept deals with the consideration of this function as a whole, with its approximation being performed using a curve-fitting-based technique. Compared to the conventional procedure, where each fractional-order Laplace operator of the transfer function is individually approximated, the main offered benefit is the significant reduction in the order of the resulting rational function. Experimental results, obtained using a field-programmable analog array device, verify the validity of this concept. fractional-order filters curve-fitting approximation technique oustaloup approximation method field-programmable analog array Thermodynamics Mathematics Analysis Costas Psychalinos verfasserin aut Ahmed S. Elwakil verfasserin aut In Fractal and Fractional MDPI AG, 2018 5(2021), 4, p 218 (DE-627)897435656 (DE-600)2905371-7 25043110 nnns volume:5 year:2021 number:4, p 218 https://doi.org/10.3390/fractalfract5040218 kostenfrei https://doaj.org/article/51a5c1afb3ed41bcb0c74d7bad3a8d6d kostenfrei https://www.mdpi.com/2504-3110/5/4/218 kostenfrei https://doaj.org/toc/2504-3110 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ 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_2005 GBV_ILN_2009 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 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_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 5 2021 4, p 218 |
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FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders |
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A simple and direct procedure for implementing fractional-order filters with transfer functions that contain Laplace operators of different fractional orders is presented in this work. Based on a general fractional-order transfer function that describes fractional-order low-pass, high-pass, band-pass, band-stop and all-pass filters, the introduced concept deals with the consideration of this function as a whole, with its approximation being performed using a curve-fitting-based technique. Compared to the conventional procedure, where each fractional-order Laplace operator of the transfer function is individually approximated, the main offered benefit is the significant reduction in the order of the resulting rational function. Experimental results, obtained using a field-programmable analog array device, verify the validity of this concept. |
abstractGer |
A simple and direct procedure for implementing fractional-order filters with transfer functions that contain Laplace operators of different fractional orders is presented in this work. Based on a general fractional-order transfer function that describes fractional-order low-pass, high-pass, band-pass, band-stop and all-pass filters, the introduced concept deals with the consideration of this function as a whole, with its approximation being performed using a curve-fitting-based technique. Compared to the conventional procedure, where each fractional-order Laplace operator of the transfer function is individually approximated, the main offered benefit is the significant reduction in the order of the resulting rational function. Experimental results, obtained using a field-programmable analog array device, verify the validity of this concept. |
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A simple and direct procedure for implementing fractional-order filters with transfer functions that contain Laplace operators of different fractional orders is presented in this work. Based on a general fractional-order transfer function that describes fractional-order low-pass, high-pass, band-pass, band-stop and all-pass filters, the introduced concept deals with the consideration of this function as a whole, with its approximation being performed using a curve-fitting-based technique. Compared to the conventional procedure, where each fractional-order Laplace operator of the transfer function is individually approximated, the main offered benefit is the significant reduction in the order of the resulting rational function. Experimental results, obtained using a field-programmable analog array device, verify the validity of this concept. |
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