Sentence examples for initial wavelet that from inspiring English sources

The thin black curve denotes the initial wavelet that would be observed without the cracks.

We then evaluate the attenuation Q−1 and the phase velocity v from the spectral ratio of the synthetic mean wave to the initial wavelet that would be observed without the cracks, C; after some calculation, we obtain: (4 and, hence, (5) (6)in which "Im" and "Re" denote the imaginary and real parts, respectively.

The base wavelet that maximizes the Energy to Shannon Entropy ratio is selected to extract statistical features from wavelet coefficients.

The obtained Q−1 and v are to be compared with the values predicted by the FAT under the assumption that the mean wave is of the same mode (either P or SV) as that of the initial wavelet.

Except for this difference, the overall features of Fig. 7 are quite similar to those of Fig. 6: the mean wave is of the same mode as that of the initial wavelet, and its waveform, attenuation, and dispersion are described by the FAT satisfactorily.

This validates the assumption of the FAT that the modes of the mean wave and the initial wavelet are the same (Subsection 4.1), though P-to-S conversion scattering significantly occurs.

This also suggests that the above-mentioned pulse after the primary wave would be attributed to the waveform dispersion of the initial wavelet due to scattering.

The synthetic mean wave and initial wavelet, if without the cracks, are also depicted.

To find these parameters of a peak, we use zero-crossing lines in multi-scale of Gaussian derivative wavelet instead of ridge-lines in multi-scale of Mexican hat wavelet that was used by Du et al. (2006).

Next, a method is proposed to design semi-orthogonal wavelets that are usually infinitely supported wavelets.

Wavelets convert images into a series of wavelets that can be saved more efficiently than pixels.