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Titlebook: Wavelets and Their Applications; J. S. Byrnes,Jennifer L. Byrnes,Karl Berry Book 1994 Springer Science+Business Media Dordrecht 1994 Fouri

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Bilinear time-frequency distributions,he time-frequency plane. One way of making this notion of localization more precise is to use time-frequency distributions. During the last 15 years there has been an interest in the signal analysis community in the definition, interpretation, and application of time-frequency distributions, especia
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Some remarks about the scalograms of wavelet transform coefficients,sical processes responsible for the fluctuations, large amounts of data must be analyzed. Therefore, that is why the first step in an analysis often consists of looking for some characteristic time-scales in the data. One time-scale is, for instance, the mean period between events in the signal (T);
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,Time-frequency localization operators of Cohen’s class,lar signal is concentrated is measured by integrating a time-frequency distribution over the given region. This procedure was put forward by Flandrin, and has been used for time-varying filtering in the recent work of Hlawatsch, Kozek, and Krattenthaler. In this paper, the operators associated with
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Problems in Gabor representation,plications such as seismology, communications, radar, sonar, image processing and biomedical signal processing, problems arise which do not fit into this framework. For such problems, the concept of time-frequency representations has increasingly played a central role..The Gabor transform will be em
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Some remarks about the scalograms of wavelet transform coefficients,sical processes responsible for the fluctuations, large amounts of data must be analyzed. Therefore, that is why the first step in an analysis often consists of looking for some characteristic time-scales in the data. One time-scale is, for instance, the mean period between events in the signal (T);
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Signal processing and compression with wavelet packets,pulate signals such as sound and images. We describe a library of such waveforms and demonstrate a few of their analytic properties. We also describe an algorithm to chose a best basis subset, tailored to fit a specific signal or class of signals. We apply this algorithm to two signal processing tas
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On the extension of the Heisenberg group to incorporate multiscale resolution, resolution, i.e, affine transformation over the time-position domain. The Heisenberg group plays an important role in quantum mechanics, brain analysis by coherent oscillations, holograms, communication, and many other fields of physics..The hybrid multiscale-Heisenberg representation determines a
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