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# Butterworth Sallen-Key LPF example script
# Max Xiang 10/13/2025
import numpy as np
def print_butterworth_lowpass_values(order, cutoff_hz, resistance):
if order % 2 > 0:
print("Cannot have odd orders for Sallen-Key")
return
delta_angle = np.pi / order # do this in radians here
omega_0 = 2 * cutoff_hz * np.pi
for i in range(int(order / 2)):
angle = (0.5 + i) * delta_angle
zeta = np.cos(angle)
c1 = 1 / (omega_0 * resistance * zeta)
c2 = zeta / (omega_0 * resistance)
print(f"Stage {i + 1}: C1 = {c1}, C2 = {c2}, R1 = R2 = {resistance}")
print_butterworth_lowpass_values(8, 5000, 10000) # 8th order low pass at 5 kHz, with 10k resistors
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