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34 changes: 18 additions & 16 deletions audio_filters/butterworth_filter.py
Original file line number Diff line number Diff line change
Expand Up @@ -5,8 +5,10 @@
"""
Create 2nd-order IIR filters with Butterworth design.

Code based on https://webaudio.github.io/Audio-EQ-Cookbook/audio-eq-cookbook.html
Alternatively you can use scipy.signal.butter, which should yield the same results.
Code based on
https://webaudio.github.io/Audio-EQ-Cookbook/audio-eq-cookbook.html
Alternatively you can use scipy.signal.butter,
which should yield the same results.
"""


Expand All @@ -20,8 +22,8 @@ def make_lowpass(

>>> filter = make_lowpass(1000, 48000)
>>> filter.a_coeffs + filter.b_coeffs # doctest: +NORMALIZE_WHITESPACE
[1.0922959556412573, -1.9828897227476208, 0.9077040443587427, 0.004277569313094809,
0.008555138626189618, 0.004277569313094809]
[1.0922959556412573, -1.9828897227476208, 0.9077040443587427,
0.004277569313094809,0.008555138626189618, 0.004277569313094809]
"""
w0 = tau * frequency / samplerate
_sin = sin(w0)
Expand Down Expand Up @@ -50,8 +52,8 @@ def make_highpass(

>>> filter = make_highpass(1000, 48000)
>>> filter.a_coeffs + filter.b_coeffs # doctest: +NORMALIZE_WHITESPACE
[1.0922959556412573, -1.9828897227476208, 0.9077040443587427, 0.9957224306869052,
-1.9914448613738105, 0.9957224306869052]
[1.0922959556412573, -1.9828897227476208, 0.9077040443587427,
0.9957224306869052,-1.9914448613738105, 0.9957224306869052]
"""
w0 = tau * frequency / samplerate
_sin = sin(w0)
Expand Down Expand Up @@ -80,8 +82,8 @@ def make_bandpass(

>>> filter = make_bandpass(1000, 48000)
>>> filter.a_coeffs + filter.b_coeffs # doctest: +NORMALIZE_WHITESPACE
[1.0922959556412573, -1.9828897227476208, 0.9077040443587427, 0.06526309611002579,
0, -0.06526309611002579]
[1.0922959556412573, -1.9828897227476208,
0.9077040443587427, 0.06526309611002579,0, -0.06526309611002579]
"""
w0 = tau * frequency / samplerate
_sin = sin(w0)
Expand Down Expand Up @@ -111,8 +113,8 @@ def make_allpass(

>>> filter = make_allpass(1000, 48000)
>>> filter.a_coeffs + filter.b_coeffs # doctest: +NORMALIZE_WHITESPACE
[1.0922959556412573, -1.9828897227476208, 0.9077040443587427, 0.9077040443587427,
-1.9828897227476208, 1.0922959556412573]
[1.0922959556412573, -1.9828897227476208, 0.9077040443587427,
0.9077040443587427, -1.9828897227476208, 1.0922959556412573]
"""
w0 = tau * frequency / samplerate
_sin = sin(w0)
Expand All @@ -139,8 +141,8 @@ def make_peak(

>>> filter = make_peak(1000, 48000, 6)
>>> filter.a_coeffs + filter.b_coeffs # doctest: +NORMALIZE_WHITESPACE
[1.0653405327119334, -1.9828897227476208, 0.9346594672880666, 1.1303715025601122,
-1.9828897227476208, 0.8696284974398878]
[1.0653405327119334, -1.9828897227476208, 0.9346594672880666,
1.1303715025601122,-1.9828897227476208, 0.8696284974398878]
"""
w0 = tau * frequency / samplerate
_sin = sin(w0)
Expand Down Expand Up @@ -171,8 +173,8 @@ def make_lowshelf(

>>> filter = make_lowshelf(1000, 48000, 6)
>>> filter.a_coeffs + filter.b_coeffs # doctest: +NORMALIZE_WHITESPACE
[3.0409336710888786, -5.608870992220748, 2.602157875636628, 3.139954022810743,
-5.591841778072785, 2.5201667380627257]
[3.0409336710888786, -5.608870992220748, 2.602157875636628,
3.139954022810743, -5.591841778072785, 2.5201667380627257]
"""
w0 = tau * frequency / samplerate
_sin = sin(w0)
Expand Down Expand Up @@ -208,8 +210,8 @@ def make_highshelf(

>>> filter = make_highshelf(1000, 48000, 6)
>>> filter.a_coeffs + filter.b_coeffs # doctest: +NORMALIZE_WHITESPACE
[2.2229172136088806, -3.9587208137297303, 1.7841414181566304, 4.295432981120543,
-7.922740859457287, 3.6756456963725253]
[2.2229172136088806, -3.9587208137297303, 1.7841414181566304,
4.295432981120543, -7.922740859457287, 3.6756456963725253]
"""
w0 = tau * frequency / samplerate
_sin = sin(w0)
Expand Down
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