File:Acoustics filter lowpass.svg
Summary
| Description |
English: Low acoustic filter. |
| Date | |
| Source | Own work |
| Author | Nicoguaro |
| SVG development | |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
plt.rcParams['mathtext.fontset'] = 'cm'
low_pass_trans = lambda S1, S, k, L: 1/(1 + (0.5*(S1 - S)/S*k*L)**2)
low_pass_cutoff = lambda S1, S, c, L: c*S/(np.pi*L*(S1 - S))
c = 343.4
L = 0.2
S1 = 5.0
S = 1.0
fc = low_pass_cutoff(S1, S, c, L)
freq = np.logspace(0, 4, 101)
k = 2 * np.pi * freq/c
T = low_pass_trans(5, 1, k, L)
plt.semilogx(freq, T)
plt.text(140, 0.5, "Cut-off frequency: {:g} Hz".format(fc))
plt.grid(which="both", alpha=0.4)
plt.xlabel("Frequency (Hz)")
plt.ylabel("$T_\pi$")
plt.title("Low-pass filter for $S_1/S=5$")
plt.savefig("Acoustics filter lowpass.svg")
|
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