Spectral decomposition of the time-frequency distribution kernels.
This paper addresses the general problem of approximating a given time-frequency distribution (TFD) in terms of other distributions with desired properties. It relates the approximation of two time-frequency distributions to their corresponding kernel approximation. It is shown that the singular-val...
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1994
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Spectral decomposition of the time-frequency distribution kernels. Amin, Moeness G. This paper addresses the general problem of approximating a given time-frequency distribution (TFD) in terms of other distributions with desired properties. It relates the approximation of two time-frequency distributions to their corresponding kernel approximation. It is shown that the singular-value decomposition (SVD) of the time-frequency (t-f) kernels allows the expression of the time-frequency distributions in terms of weighted sum of smoothed pseudo Wigner-ViUe distributions or modified periodograms, which are the two basic nonparametric power distributions for stationary and nonstationary signals, respectively. The windows appearing in the decomposition take zero and/or negative values and, therefore, are different than the time and lag windows commonly employed by these two distributions. The centrosymmetry and the time-support properties of the kernels along with the fast decay of the singular values lead to computational savings and allow for an efficient reduced rank kernel approximations. 1994 Villanova Faculty Authorship vudl:173660 IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 42, NO. 5, MAY 1994. en |
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Spectral decomposition of the time-frequency distribution kernels. |
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Amin, Moeness G. |
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This paper addresses the general problem of approximating
a given time-frequency distribution (TFD) in terms of
other distributions with desired properties. It relates the approximation
of two time-frequency distributions to their corresponding
kernel approximation. It is shown that the singular-value decomposition
(SVD) of the time-frequency (t-f) kernels allows
the expression of the time-frequency distributions in terms of
weighted sum of smoothed pseudo Wigner-ViUe distributions or
modified periodograms, which are the two basic nonparametric
power distributions for stationary and nonstationary signals,
respectively. The windows appearing in the decomposition take
zero and/or negative values and, therefore, are different than the
time and lag windows commonly employed by these two distributions.
The centrosymmetry and the time-support properties of
the kernels along with the fast decay of the singular values lead
to computational savings and allow for an efficient reduced rank
kernel approximations. |
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1994 |
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Villanova Faculty Authorship |
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vudl:173660 |
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IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 42, NO. 5, MAY 1994. |
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en |
| author |
Amin, Moeness G. |
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Amin, Moeness G. Spectral decomposition of the time-frequency distribution kernels. |
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Amin, Moeness G. |
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IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 42, NO. 5, MAY 1994. |
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Villanova Faculty Authorship |
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Amin, Moeness G. |
| dc_date_str |
1994 |
| dc_title_str |
Spectral decomposition of the time-frequency distribution kernels. |
| description |
This paper addresses the general problem of approximating
a given time-frequency distribution (TFD) in terms of
other distributions with desired properties. It relates the approximation
of two time-frequency distributions to their corresponding
kernel approximation. It is shown that the singular-value decomposition
(SVD) of the time-frequency (t-f) kernels allows
the expression of the time-frequency distributions in terms of
weighted sum of smoothed pseudo Wigner-ViUe distributions or
modified periodograms, which are the two basic nonparametric
power distributions for stationary and nonstationary signals,
respectively. The windows appearing in the decomposition take
zero and/or negative values and, therefore, are different than the
time and lag windows commonly employed by these two distributions.
The centrosymmetry and the time-support properties of
the kernels along with the fast decay of the singular values lead
to computational savings and allow for an efficient reduced rank
kernel approximations. |
| title |
Spectral decomposition of the time-frequency distribution kernels. |
| title_full |
Spectral decomposition of the time-frequency distribution kernels. |
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Spectral decomposition of the time-frequency distribution kernels. |
| title_full_unstemmed |
Spectral decomposition of the time-frequency distribution kernels. |
| title_short |
Spectral decomposition of the time-frequency distribution kernels. |
| title_sort |
spectral decomposition of the time-frequency distribution kernels. |
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1994 |
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