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Time-Frequency Analysis Based on Mono-Components: Some functional analysis foundations of signal processing - Brossura
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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.
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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.
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Time-Frequency Analysis Based on Mono-Components
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LAP LAMBERT Academic Publishing Jun 2012, 2012
ISBN 10: 3659138746
ISBN 13: 9783659138744
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Taschenbuch. Condizione: 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. Codice articolo 9783659138744
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Time-Frequency Analysis Based on Mono-Components
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LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3659138746
ISBN 13: 9783659138744
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Da: moluna, Greven, Germania
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Condizione: 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. Codice articolo 5134258
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Time-Frequency Analysis Based on Mono-Components
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LAP LAMBERT Academic Publishing Jun 2012, 2012
ISBN 10: 3659138746
ISBN 13: 9783659138744
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. 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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 156 pp. Englisch. Codice articolo 9783659138744
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Time-Frequency Analysis Based on Mono-Components : Some functional analysis foundations of signal processing
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LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3659138746
ISBN 13: 9783659138744
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9783659138744
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Time-Frequency Analysis Based on Mono-Components | Some functional analysis foundations of signal processing
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LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3659138746
ISBN 13: 9783659138744
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Taschenbuch. Condizione: Neu. Time-Frequency Analysis Based on Mono-Components | Some functional analysis foundations of signal processing | Pei Dang | Taschenbuch | 156 S. | Englisch | 2012 | LAP LAMBERT Academic Publishing | EAN 9783659138744 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Codice articolo 106418038
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Time-Frequency Analysis Based on Mono-Components: Some functional analysis foundations of signal processing
Editore:
LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3659138746
ISBN 13: 9783659138744
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Paperback. Condizione: Like New. LIKE NEW. SHIPS FROM MULTIPLE LOCATIONS. book. Codice articolo ERICA79636591387466
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