Time Frequency Analysis: Theory and Applications
Featuring traditional coverage as well as new research results that, until now, have been scattered throughout the professional literature, this book brings together—in simple language—the basic ideas and methods that have been developed to study natural and man-made signals whose frequency content changes with time—e.g., speech, sonar and radar, optical images, mechanical vibrations, acoustic signals, biological/biomedical and geophysical signals. Covers time analysis, frequency analysis,...
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Featuring traditional coverage as well as new research results that, until now, have been scattered throughout the professional literature, this book brings together—in simple language—the basic ideas and methods that have been developed to study natural and man-made signals whose frequency content changes with time—e.g., speech, sonar and radar, optical images, mechanical vibrations, acoustic signals, biological/biomedical and geophysical signals.Covers time analysis, frequency analysis, and scale analysis; time-bandwidth relations; instantaneous frequency; densities and local quantities; the short time Fourier Transform; time-frequency analysis; the Wigner representation; time-frequency representations; computation methods; the synthesis problem; spatial-spatial/frequency representations; time-scale representations; operators; general joint representations; stochastic signals; and higher order time-frequency distributions. Illustrates each concept with examples and shows how the methods have been extended to other variables, such as scale.For engineers, acoustic scientists, medical scientists and developers, mathematicians, physicists, and mangers working in the fields of acoustics, sonar, radar, image processing, biomedical devices, communication. Booknews The aim of time-frequency analysis is to describe how the frequency or spectral content of a signal evolves. For engineers, scientists, and mathematicians, this self-contained text brings together the methods that have been developed to study time-varying spectra, and presents in simple language the physical and mathematical ideas, their origin and motivation, and the challenges of the field. Annotation c. Book News, Inc., Portland, OR (booknews.com)
PrefaceNotation in Brief1The Time and Frequency Description of Signals2Instantaneous Frequency and the Complex Signal3The Uncertainty Principle4Densities and Characteristics Functions5The Need for Time-Frequency Analysis6Time-Frequency Distributions: Fundamental Ideas7The Short-Time Fourier Transform8The Wigner Distribution9General Approach and the Kernel Method10Characteristic Function Operator Method11Kernel Design for Reduced Interference12Some Distributions13Further Developments14Positive Distributions Satisfying the Marginals15The Representation of Signals16Density of a Single Variable17Joint Representations for Arbitrary Variables18Scale19Joint Scale RepresentationsBibliographyIndex
\ BooknewsThe aim of time-frequency analysis is to describe how the frequency or spectral content of a signal evolves. For engineers, scientists, and mathematicians, this self-contained text brings together the methods that have been developed to study time-varying spectra, and presents in simple language the physical and mathematical ideas, their origin and motivation, and the challenges of the field. Annotation c. Book News, Inc., Portland, OR (booknews.com)\ \
