Frequency domain quaternion adaptive filters: Algorithms and convergence performance
Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance....
Ausführliche Beschreibung
Autor*in: |
Ortolani, Francesca [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2017transfer abstract |
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Schlagwörter: |
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Umfang: |
12 |
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Übergeordnetes Werk: |
Enthalten in: Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery - Zhang, Yaoyao ELSEVIER, 2014transfer abstract, a European journal devoted to the methods and applications of signal processing, Amsterdam [u.a.] |
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Übergeordnetes Werk: |
volume:136 ; year:2017 ; pages:69-80 ; extent:12 |
Links: |
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DOI / URN: |
10.1016/j.sigpro.2016.11.002 |
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ELV040302644 |
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520 | |a Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. | ||
520 | |a Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. | ||
650 | 7 | |a Adaptive Filters |2 Elsevier | |
650 | 7 | |a Quaternions |2 Elsevier | |
650 | 7 | |a Frequency Domain |2 Elsevier | |
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10.1016/j.sigpro.2016.11.002 doi GBVA2017004000014.pica (DE-627)ELV040302644 (ELSEVIER)S0165-1684(16)30294-8 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Ortolani, Francesca verfasserin aut Frequency domain quaternion adaptive filters: Algorithms and convergence performance 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Adaptive Filters Elsevier Quaternions Elsevier Frequency Domain Elsevier Hypercomplex Elsevier Quaternion-Valued Adaptive Filtering Elsevier Comminiello, Danilo oth Scarpiniti, Michele oth Uncini, Aurelio oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:69-80 extent:12 https://doi.org/10.1016/j.sigpro.2016.11.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 69-80 12 045F 004 |
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10.1016/j.sigpro.2016.11.002 doi GBVA2017004000014.pica (DE-627)ELV040302644 (ELSEVIER)S0165-1684(16)30294-8 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Ortolani, Francesca verfasserin aut Frequency domain quaternion adaptive filters: Algorithms and convergence performance 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Adaptive Filters Elsevier Quaternions Elsevier Frequency Domain Elsevier Hypercomplex Elsevier Quaternion-Valued Adaptive Filtering Elsevier Comminiello, Danilo oth Scarpiniti, Michele oth Uncini, Aurelio oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:69-80 extent:12 https://doi.org/10.1016/j.sigpro.2016.11.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 69-80 12 045F 004 |
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10.1016/j.sigpro.2016.11.002 doi GBVA2017004000014.pica (DE-627)ELV040302644 (ELSEVIER)S0165-1684(16)30294-8 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Ortolani, Francesca verfasserin aut Frequency domain quaternion adaptive filters: Algorithms and convergence performance 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Adaptive Filters Elsevier Quaternions Elsevier Frequency Domain Elsevier Hypercomplex Elsevier Quaternion-Valued Adaptive Filtering Elsevier Comminiello, Danilo oth Scarpiniti, Michele oth Uncini, Aurelio oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:69-80 extent:12 https://doi.org/10.1016/j.sigpro.2016.11.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 69-80 12 045F 004 |
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10.1016/j.sigpro.2016.11.002 doi GBVA2017004000014.pica (DE-627)ELV040302644 (ELSEVIER)S0165-1684(16)30294-8 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Ortolani, Francesca verfasserin aut Frequency domain quaternion adaptive filters: Algorithms and convergence performance 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Adaptive Filters Elsevier Quaternions Elsevier Frequency Domain Elsevier Hypercomplex Elsevier Quaternion-Valued Adaptive Filtering Elsevier Comminiello, Danilo oth Scarpiniti, Michele oth Uncini, Aurelio oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:69-80 extent:12 https://doi.org/10.1016/j.sigpro.2016.11.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 69-80 12 045F 004 |
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10.1016/j.sigpro.2016.11.002 doi GBVA2017004000014.pica (DE-627)ELV040302644 (ELSEVIER)S0165-1684(16)30294-8 DE-627 ger DE-627 rakwb eng 004 000 004 DE-600 000 DE-600 620 VZ 690 VZ 50.92 bkl Ortolani, Francesca verfasserin aut Frequency domain quaternion adaptive filters: Algorithms and convergence performance 2017transfer abstract 12 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. Adaptive Filters Elsevier Quaternions Elsevier Frequency Domain Elsevier Hypercomplex Elsevier Quaternion-Valued Adaptive Filtering Elsevier Comminiello, Danilo oth Scarpiniti, Michele oth Uncini, Aurelio oth Enthalten in Elsevier Zhang, Yaoyao ELSEVIER Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery 2014transfer abstract a European journal devoted to the methods and applications of signal processing Amsterdam [u.a.] (DE-627)ELV017513162 volume:136 year:2017 pages:69-80 extent:12 https://doi.org/10.1016/j.sigpro.2016.11.002 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 136 2017 69-80 12 045F 004 |
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Enthalten in Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery Amsterdam [u.a.] volume:136 year:2017 pages:69-80 extent:12 |
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Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery |
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Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery |
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Frequency domain quaternion adaptive filters: Algorithms and convergence performance |
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title_full |
Frequency domain quaternion adaptive filters: Algorithms and convergence performance |
author_sort |
Ortolani, Francesca |
journal |
Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery |
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Influence of Sc3+ doping in B-site on electrochemical performance of Li4Ti5O12 anode materials for lithium-ion battery |
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2017 |
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Ortolani, Francesca |
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Elektronische Aufsätze |
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Ortolani, Francesca |
doi_str_mv |
10.1016/j.sigpro.2016.11.002 |
dewey-full |
004 000 620 690 |
title_sort |
frequency domain quaternion adaptive filters: algorithms and convergence performance |
title_auth |
Frequency domain quaternion adaptive filters: Algorithms and convergence performance |
abstract |
Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. |
abstractGer |
Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. |
abstract_unstemmed |
Recently, adaptive filtering was extended to quaternion-valued systems. Quaternion-valued algorithms exhibit improved geometrical properties compared with real- and complex-valued algorithms. Moreover, working in the frequency domain allows a fast execution along with a good convergence performance. In this work, we propose three different quaternion-valued adaptive algorithms operating in the frequency domain. Convergence properties are also analyzed: in particular, the step size stability range is obtained in relation to the eigenvalues of the input autocorrelation matrix and the Excess Mean Square Error (EMSE) is expressed in relation to the algorithm parameters. Finally, simulations support the proposal. |
collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 |
title_short |
Frequency domain quaternion adaptive filters: Algorithms and convergence performance |
url |
https://doi.org/10.1016/j.sigpro.2016.11.002 |
remote_bool |
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author2 |
Comminiello, Danilo Scarpiniti, Michele Uncini, Aurelio |
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Comminiello, Danilo Scarpiniti, Michele Uncini, Aurelio |
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up_date |
2024-07-06T17:09:21.994Z |
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