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...
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Autor*in:	Stavroula Kapoulea [verfasserIn] Costas Psychalinos [verfasserIn] Ahmed S. Elwakil [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	fractional-order filters curve-fitting approximation technique oustaloup approximation method field-programmable analog array

Übergeordnetes Werk:	In: Fractal and Fractional - MDPI AG, 2018, 5(2021), 4, p 218
Übergeordnetes Werk:	volume:5 ; year:2021 ; number:4, p 218

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/fractalfract5040218

Katalog-ID:	DOAJ016640012

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spelling	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
allfields_unstemmed	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
allfieldsGer	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
allfieldsSound	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
language	English
source	In Fractal and Fractional 5(2021), 4, p 218 volume:5 year:2021 number:4, p 218
sourceStr	In Fractal and Fractional 5(2021), 4, p 218 volume:5 year:2021 number:4, p 218
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	fractional-order filters curve-fitting approximation technique oustaloup approximation method field-programmable analog array Thermodynamics Mathematics Analysis
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container_title	Fractal and Fractional
authorswithroles_txt_mv	Stavroula Kapoulea @@aut@@ Costas Psychalinos @@aut@@ Ahmed S. Elwakil @@aut@@
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callnumber-first	Q - Science
author	Stavroula Kapoulea
spellingShingle	Stavroula Kapoulea misc QC310.15-319 misc QA1-939 misc QA299.6-433 misc fractional-order filters misc curve-fitting approximation technique misc oustaloup approximation method misc field-programmable analog array misc Thermodynamics misc Mathematics misc Analysis FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders
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topic_title	QC310.15-319 QA1-939 QA299.6-433 FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders fractional-order filters curve-fitting approximation technique oustaloup approximation method field-programmable analog array
topic	misc QC310.15-319 misc QA1-939 misc QA299.6-433 misc fractional-order filters misc curve-fitting approximation technique misc oustaloup approximation method misc field-programmable analog array misc Thermodynamics misc Mathematics misc Analysis
topic_unstemmed	misc QC310.15-319 misc QA1-939 misc QA299.6-433 misc fractional-order filters misc curve-fitting approximation technique misc oustaloup approximation method misc field-programmable analog array misc Thermodynamics misc Mathematics misc Analysis
topic_browse	misc QC310.15-319 misc QA1-939 misc QA299.6-433 misc fractional-order filters misc curve-fitting approximation technique misc oustaloup approximation method misc field-programmable analog array misc Thermodynamics misc Mathematics misc Analysis
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title	FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders
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title_sort	fpaa-based realization of filters with fractional laplace operators of different orders
callnumber	QC310.15-319
title_auth	FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders
abstract	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.
abstract_unstemmed	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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title_short	FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders
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FPAA-Based Realization of Filters with Fractional Laplace Operators of Different Orders

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