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Zero-tracking time-frequency distributions

1997 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2002
The zero-tracking time-frequency distribution (TFD) is introduced. The local autocorrelation function of the TFD, defined by an appropriate kernel, is used to form a polynomial whose roots correspond to the instantaneous frequencies of the multicomponent signal. Two techniques for zero-tracking based on the TFD are presented.
Chenshu Wang, Moeness G. Amin
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Spectrogram decompositions of time-frequency distributions

Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat.No.01EX467), 2002
This paper outlines means of combining spectrograms formed using specially designed windows. Previous work has shown that one can decompose any time-frequency distribution (TFD) in Cohen's class into a weighted sum of spectrograms. This is accomplished by decomposing the kernel of the distribution in terms of an orthogonal set of analysis windows.
William J. Williams, Selin Aviyente
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Divergence measures for time-frequency distributions

Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings., 2003
Distance measures between statistical models or between a model and observations are widely used concepts in signal processing. They are commonly used in solving problems such as detection, automatic segmentation, classification, pattern recognition and coding. In recent years, there has been an interest in extending these distance measures to the time-
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A note on "Positive time-frequency distributions"

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
We discuss the performance of certain recently proposed positive time-frequency distribution functions with correct marginals. It turns out that for signals of the FM type, satisfactory results can only be obtained with a strongly signal dependent choice of the parameters in these distribution functions.
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SNR analysis of time-frequency distributions

2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), 2002
The SNR analysis has been widely used to evaluate the performance of time-frequency (t-f) distributions. Often the SNR is defined at a specific t-f location or using the averaged variance over the entire t-f domain. In this paper, a new SNR measure is provided based on averaging along the signal t-f signature and its properties for linear FM signals ...
Weifeng Mu, Moeness G. Amin
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Construction of positive time-frequency distributions

IEEE Transactions on Signal Processing, 1994
A general method for constructing nonnegative definite, joint time-frequency distributions (TFDs) satisfying the marginals of time |s(t)|/sup 2/ and frequency |S(f)|/sup 2/ is presented. As nonnegative-definite distributions with the correct marginals, these TFDs are members of the Cohen-Posch class.
Patrick J. Loughlin   +2 more
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Time-frequency distributions with complex argument

IEEE Transactions on Signal Processing, 2002
A distribution highly concentrated along the group delay or the instantaneous frequency (IF) is presented. It has been defined by introducing a signal with a complex argument in time-frequency (TF) analysis. Realization of a signal with a complex argument, using a signal with a real argument, is described.
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Principal decomposition of time-frequency distributions

IEEE Transactions on Signal Processing, 1993
The authors present a novel time-frequency analysis technique which uses principal components analysis to map any given time-frequency distribution (TFD) of a signal into a set of three 1-D principal decomposition functions. These three functions may then be considered to be 'separable' components of a time-frequency function which they refer to as the
S. Hamid Nawab   +2 more
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Kernel decomposition of time-frequency distributions

IEEE Transactions on Signal Processing, 1994
Bilinear time-frequency distributions (TFDs) offer improved time-frequency resolution over linear representations, but suffer from difficult interpretation, higher implementation cost, and the lack of associated low-cost signal synthesis algorithms. In the paper, the authors introduce some new tools for the interpretation and quantitative comparison of
Gregory S. Cunningham   +1 more
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The generalized exponential time-frequency distribution

IEEE Transactions on Signal Processing, 1994
Time-frequency distributions (TFD) are joint time and frequency signal representations that, among other properties, maintain the true support of a signal's energy in both time and frequency. In addition to their mathematical elegance, TFDs can provide simultaneous resolution in time and frequency that exceeds that of the common spectrogram. In general,
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