Blackman Window: is a cone formed using the first three terms of the sum of the cosines. It has been designed to have almost the lowest possible leakage. This is close to optimal, only slightly worse than the Kaiser window.
Parameters (numpy.blackman): M: int Number of points in the output window. If zero or less, an empty array is returned. Returns: out: array
Window with maximum value normalized to one (value one appears only if the number of samples is odd).
Example :
import
numpy as np
print
(np.blackman (
12
))
Output:
[1.38777878e17 3.26064346e02 1.59903635e01 4.14397981e01 7.36045180e01 9.67046769e01 9.67046769e01 7.36045180e01 4.14397981e 01 1.59903635e01 3.26064346e02 1.38777878e17]
Plotting the window and its frequency response (requires SciPy and matplotlib):
Code: for window:

Exit:
Code: for frequency:
import
numpy as np
import
matplotlib.pyplot as plt
from
numpy.fft
import
fft, fftshift
window
=
np .blackman (
51
)
plt.figure ()
A
=
fft (window,
2048
)
/
25.5
mag
=
np.
abs
(fftshift (A))
freq
=
np.linspace (

0.5
,
0.5
,
len
(A))
response
=
20
*
np.log10 (m ag)
response
=
np.clip (response,

100
,
100
)
plt.plot (freq, response)
plt.title (
"Frequency response of Blackman window "
)
plt.ylabel (
" Magnitude [dB] "
)
plt.xlabel (
"Normalized frequency [cycles per sample]"
)
plt.axis (
`tight`
)
plt. show ()
Exit:
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