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References in periodicals archive ?
F0 trajectory smoothing is based on the calculated high-frequency energy ratio, the minimum noise energy equivalent, in the instantaneous frequency selected the most likely F0, and thus constitutes a smooth pitch trajectory.
(4) The Hilbert transform of each IMF (i.e., the HHT) is computed to get the instantaneous frequency of each IMF in the studied segment.
The Hilbert transform is general and global, but the instantaneous frequency [omega] = [d [theta](t)/dx](based on the transform) is restrictive and local.
Instantaneous frequency f(x) can be obtained through the pure FM signal [s.sub.i](t):
The instantaneous frequency is defined as the derivative of the instantaneous phase:
It creates the impression that these terms must be available or the good properties of WVD (localization, group delay, instantaneous frequency, marginal properties, etc.) cannot be fulfilled.
5 shows the instantaneous frequency of different MFSK signals after the first time wavelet transform, and the mutation frequency can be observed clearly.
In addition, the LMD iteration process which uses smoothed local means and local magnitudes avoids the cubic spline approach used in EMD [19], which maybe bring the envelope errors and influence on the precision of the instantaneous frequency and amplitude.
After decomposition of the signal into separate components [h.sub.k][n] with defined instantaneous frequency:
[f.sub.o] is the instantaneous frequency, [f.sub.r] is the nominal frequency, and [x.sub.i] is the clock time error at the ith measuring instant.
The EMD method is based on the concept of instantaneous frequency defined as the derivative of the phase of an analytic signal [12].
Standard deviation of absolute value of the normalized centered instantaneous frequency ( Standard deviation of direct value of the normalized centered instantaneous frequency ( Maximum value of the power spectral density of the normalized centered instantaneous amplitude ( .
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