Time-Frequency Concepts

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Time-Frequency Concepts

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dc.contributor.author Boashash, B
dc.date.accessioned 2012-02-21T15:49:26Z
dc.date.available 2012-02-21T15:49:26Z
dc.date.issued 2003
dc.identifier.citation Time-Frequency Signal Analysis & Processing: A Comprehensive Reference, Elsevier Science, Oxford, 2003, Chapter 1, pages 3-28 en_US
dc.identifier.isbn 0080443354
dc.identifier.isbn 9780080443355
dc.identifier.uri http://hdl.handle.net/10576/10787
dc.description This manuscript is a basic introduction to the time-frequency field; it presents clear rationales for justifying the need to use joint time-frequency representations for non-stationary signals such as FM signals; and it introduces all the basic signal concepts needed to understand the field in depth. (Additional details can be found in the other chapters of the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated). en_US
dc.description.abstract Time-frequency signal analysis and processing (TFSAP) concerns the analysis and processing of signals with time-varying frequency content. Such signals are best represented by a time-frequency distribution (TFD), which is intended to show how the energy of the signal is distributed over the two-dimensional time-frequency space. Processing of the signal may then exploit the features produced by the concentration of signal energy in two dimensions (time and frequency) instead of only one (time or frequency). The first chapter begins the introductory tutorial which constitutes Part I of the book. This tutorial updates the one given in [1] by including recent advances, refining terminology, and simplifying both the presentations of concepts and for- mulations of methodologies. Reading the three chapters of Part I will facilitate the understanding of the later chapters. The three sections of Chapter 1 present the key concepts needed to formu- late time-frequency methods. The first (Section 1.1) explains why time-frequency methods are preferred for a wide range of applications in which the signals have time-varying characteristics or multiple components. Section 1.2 provides the signal models and formulations needed to describe temporal and spectral characteristics of signals in the time-frequency domain. It defines such basic concepts as analytic signals, the Hilbert transform, the bandwidth-duration product and asymptotic signals. Section 1.3 defines the key quantities related to time-frequency methods, including the instantaneous frequency (IF), time-delay (TD) and group delay (GD). en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject time-frequency signal analysis en_US
dc.subject time-frequency representations en_US
dc.subject time-frequency distributions en_US
dc.subject energy distribution en_US
dc.subject time-frequency methodology en_US
dc.subject multi-component signals en_US
dc.subject time-frequency modelling en_US
dc.subject time-frequency domain en_US
dc.subject analytic signal en_US
dc.subject Hilbert Transform en_US
dc.subject bandwidth-duration product en_US
dc.subject BT product en_US
dc.subject asymptotic signals en_US
dc.subject instantaneous frequency en_US
dc.subject time-delay en_US
dc.subject group delay en_US
dc.subject FM law en_US
dc.subject linear frequency sweep en_US
dc.subject LFM en_US
dc.subject chirp en_US
dc.subject non-stationary en_US
dc.subject instantaneous power en_US
dc.subject FM modulation index en_US
dc.subject magnitude spectrum en_US
dc.subject phase spectrum en_US
dc.subject energy spectrum en_US
dc.subject joint time-frequency representation en_US
dc.subject time-frequency signal processing en_US
dc.subject frequency tracking en_US
dc.subject time-varying components en_US
dc.subject analytic associate en_US
dc.subject quadrature signal en_US
dc.subject Cauchy principal value en_US
dc.subject band-limited signal en_US
dc.subject effective bandwidth en_US
dc.subject effective duration en_US
dc.subject instantaneous phase en_US
dc.subject average frequency en_US
dc.subject invertible signal en_US
dc.subject mean IF en_US
dc.subject phase delay en_US
dc.subject relaxation time en_US
dc.subject dynamic bandwidth en_US
dc.title Time-Frequency Concepts en_US
dc.type Book chapter en_US

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