Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals

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Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals

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dc.contributor.author Boashash, Boualem
dc.date.accessioned 2011-05-19T14:58:45Z
dc.date.available 2011-05-19T14:58:45Z
dc.date.issued 1992-04
dc.identifier.citation Proceedings of the IEEE, Issue Date: Apr 1992, Volume: 80 Issue:4,On page(s): 520 - 538 en_US
dc.identifier.issn 0018-9219
dc.identifier.uri http://hdl.handle.net/10576/10681
dc.description This paper is the first comprehensive in-depth treatment of the notions of instantaneous frequency, analytic signal, instantaneous bandwidth, monocomponent and multicomponent signals and their relationship to time-frequency analysis. A software package that calculates IF estimates and TFDs can be downloaded from the web site www.time-frequency.net en_US
dc.description.abstract The concept of instantaneous frequency (IF), its definitions, and the correspondence between time-frequency signal analysis and the various mathematical models formulated for representation of IF are discussed. The extent to which the IF corresponds to the intuitive expectation of reality is also considered. A historical review of the successive attempts to define the IF is presented. The relationships between the IF and the group-delay, analytic signal, and bandwidth-time (BT) product are explored, as well as the relationship with time-frequency distributions. The notions of mono-component and multi-component signals and instantaneous bandwidth are discussed, and its relationship to Time-Frequency distributions clarified. It is shown that these notions are well described in the context of the theory presented. en_US
dc.description.sponsorship IEEE en_US
dc.language.iso en en_US
dc.publisher IEEE en_US
dc.subject analytic signal en_US
dc.subject bandwidth-time en_US
dc.subject group-delay en_US
dc.subject instantaneous bandwidth en_US
dc.subject instantaneous frequency en_US
dc.subject monocomponent en_US
dc.subject multicomponent en_US
dc.subject time-frequency distributions en_US
dc.subject time-frequency analysis en_US
dc.subject time-delay en_US
dc.subject FM signals en_US
dc.subject Fourier transform en_US
dc.subject Wigner-Ville Distribution en_US
dc.subject Quadratic Time-Frequency distributions en_US
dc.subject non-stationary signals en_US
dc.subject WVD en_US
dc.subject Hilbert Transform en_US
dc.subject Quadrature components en_US
dc.subject Asymptotic signals en_US
dc.subject effective bandwidth en_US
dc.subject effective duration en_US
dc.subject BT product en_US
dc.subject positive TFDs en_US
dc.subject Stationary phase en_US
dc.subject Bedrosian theorem en_US
dc.title Estimating and interpreting the instantaneous frequency of a signal. I. Fundamentals en_US
dc.type Article en_US

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