morlet(M, w=5.0, s=1.0, complete=True)
The standard version:
pi**-0.25 * exp(1j*w*x) * exp(-0.5*(x**2))
This commonly used wavelet is often referred to simply as the Morlet wavelet. Note that this simplified version can cause admissibility problems at low values of w
.
The complete version:
pi**-0.25 * (exp(1j*w*x) - exp(-0.5*(w**2))) * exp(-0.5*(x**2))
This version has a correction term to improve admissibility. For w
greater than 5, the correction term is negligible.
Note that the energy of the return wavelet is not normalised according to s
.
The fundamental frequency of this wavelet in Hz is given by f = 2*s*w*r / M
where r
is the sampling rate.
Note: This function was created before cwt
and is not compatible with it.
Length of the wavelet.
Omega0. Default is 5
Scaling factor, windowed from -s*2*pi
to +s*2*pi
. Default is 1.
Whether to use the complete or the standard version.
Complex Morlet wavelet.
morlet2
Implementation of Morlet wavelet, compatible with :None:None:`cwt`
.
The following pages refer to to this document either explicitly or contain code examples using this.
scipy.signal._wavelets.morlet2
scipy.signal._waveforms.gausspulse
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