File:Acoustics filter lowpass.svg

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Original file ‎(SVG file, nominally 576 × 432 pixels, file size: 57 KB)

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Summary[edit]

Description
English: Low acoustic filter.
Date
Source Own work
Author Nicoguaro
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

import 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")

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

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Date/TimeThumbnailDimensionsUserComment
current22:31, 17 August 2018Thumbnail for version as of 22:31, 17 August 2018576 × 432 (57 KB)Nicoguaro (talk | contribs)User created page with UploadWizard

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