Time-Frequency Analysis Based on Mono-Components: Some functional analysis foundations of signal processing - Couverture souple
Synopsis
In this study, we define phase derivatives of analytic signals through non-tangential boundary limits, and consequently raise a new type of derivatives called Hardy-Sobolev derivatives for signals in the related Sobolev spaces. We prove that signals in the Sobolev spaces have well-defined phase derivatives that reduce to the classical ones when the latter exist. Based on the study of several types of phase derivatives and their properties, we mainly work on the following three subjects: (1)We extend the existing relations between the instantaneous frequency and the Fourier frequency and the related ones for smooth signals to those in the Sobolev spaces. (2) Based on the phase derivative theory and the recent result of positivity of phase derivatives of boundary limits of inner functions the theoretical foundation of all-pass filters and signals of minimum phase is established. Both the discrete and continuous signals cases are rigorously treated. (3) We study a particular type of time-frequency distribution exclusively suitable for mono-components, called transient time-frequency distribution(TTFD). For multi-components we carry on a corresponding study.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Academic Qualifications:Doctor (2007-2011) University of Macau; Master (2005-2007) Wuhan University;Bachelor (2001-2005) Henan Normal University.Research Interests: Signal processing, Time-Frequency analysis, Harmonic analysis in Euclidean spaces.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Time-Frequency Analysis Based on Mono-Components
Edité par
LAP LAMBERT Academic Publishing Jun 2012, 2012
ISBN 10 : 3659138746
ISBN 13 : 9783659138744
Neuf
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this study, we define phase derivatives of analytic signals through non-tangential boundary limits, and consequently raise a new type of derivatives called Hardy-Sobolev derivatives for signals in the related Sobolev spaces. We prove that signals in the Sobolev spaces have well-defined phase derivatives that reduce to the classical ones when the latter exist. Based on the study of several types of phase derivatives and their properties, we mainly work on the following three subjects: (1)We extend the existing relations between the instantaneous frequency and the Fourier frequency and the related ones for smooth signals to those in the Sobolev spaces. (2) Based on the phase derivative theory and the recent result of positivity of phase derivatives of boundary limits of inner functions the theoretical foundation of all-pass filters and signals of minimum phase is established. Both the discrete and continuous signals cases are rigorously treated. (3) We study a particular type of time-frequency distribution exclusively suitable for mono-components, called transient time-frequency distribution(TTFD). For multi-components we carry on a corresponding study. 156 pp. Englisch. N° de réf. du vendeur 9783659138744
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Time-Frequency Analysis Based on Mono-Components
Edité par
LAP LAMBERT Academic Publishing, 2012
ISBN 10 : 3659138746
ISBN 13 : 9783659138744
Neuf
Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Dang PeiAcademic Qualifications:Doctor (2007-2011) University of Macau Master (2005-2007) Wuhan UniversityBachelor (2001-2005) Henan Normal University.Research Interests: Signal processing, Time-Frequency analysis, Harmonic anal. N° de réf. du vendeur 5134258
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Time-Frequency Analysis Based on Mono-Components
Edité par
LAP LAMBERT Academic Publishing Jun 2012, 2012
ISBN 10 : 3659138746
ISBN 13 : 9783659138744
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Neuware -In this study, we define phase derivatives of analytic signals through non-tangential boundary limits, and consequently raise a new type of derivatives called Hardy-Sobolev derivatives for signals in the related Sobolev spaces. We prove that signals in the Sobolev spaces have well-defined phase derivatives that reduce to the classical ones when the latter exist. Based on the study of several types of phase derivatives and their properties, we mainly work on the following three subjects: (1)We extend the existing relations between the instantaneous frequency and the Fourier frequency and the related ones for smooth signals to those in the Sobolev spaces. (2) Based on the phase derivative theory and the recent result of positivity of phase derivatives of boundary limits of inner functions the theoretical foundation of all-pass filters and signals of minimum phase is established. Both the discrete and continuous signals cases are rigorously treated. (3) We study a particular type of time-frequency distribution exclusively suitable for mono-components, called transient time-frequency distribution(TTFD). For multi-components we carry on a corresponding study.Books on Demand GmbH, Überseering 33, 22297 Hamburg 156 pp. Englisch. N° de réf. du vendeur 9783659138744
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Time-Frequency Analysis Based on Mono-Components : Some functional analysis foundations of signal processing
Edité par
LAP LAMBERT Academic Publishing, 2012
ISBN 10 : 3659138746
ISBN 13 : 9783659138744
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this study, we define phase derivatives of analytic signals through non-tangential boundary limits, and consequently raise a new type of derivatives called Hardy-Sobolev derivatives for signals in the related Sobolev spaces. We prove that signals in the Sobolev spaces have well-defined phase derivatives that reduce to the classical ones when the latter exist. Based on the study of several types of phase derivatives and their properties, we mainly work on the following three subjects: (1)We extend the existing relations between the instantaneous frequency and the Fourier frequency and the related ones for smooth signals to those in the Sobolev spaces. (2) Based on the phase derivative theory and the recent result of positivity of phase derivatives of boundary limits of inner functions the theoretical foundation of all-pass filters and signals of minimum phase is established. Both the discrete and continuous signals cases are rigorously treated. (3) We study a particular type of time-frequency distribution exclusively suitable for mono-components, called transient time-frequency distribution(TTFD). For multi-components we carry on a corresponding study. N° de réf. du vendeur 9783659138744
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Time-Frequency Analysis Based on Mono-Components: Some functional analysis foundations of signal processing
Edité par
LAP LAMBERT Academic Publishing, 2012
ISBN 10 : 3659138746
ISBN 13 : 9783659138744
Ancien ou d'occasion
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