scipy.signal.morlet¶

scipy.signal.
morlet
(M, w=5.0, s=1.0, complete=True)[source]¶ Complex Morlet wavelet.
Parameters: M : int
Length of the wavelet.
w : float, optional
Omega0. Default is 5
s : float, optional
Scaling factor, windowed from
s*2*pi
to+s*2*pi
. Default is 1.complete : bool, optional
Whether to use the complete or the standard version.
Returns: morlet : (M,) ndarray
See also
Notes
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.