File:Bark scale approximation.png

Summary

Description
English: The comparison of the several Bark scale approximation models.
Date
Source Own work
Author Kirlf
PNG development
InfoField
Source code
InfoField

Python code

import numpy as np
import matplotlib.pyplot as plt

#Frequency array between 0 and 20000 Hz in 1000 steps:
f = np.linspace(0,20000,1000) 

zw = 13*np.arctan(0.00076*f) + 3.5*np.arctan((f/7500)**2)
tr = (26.81*f / (1960 + f)) - 0.53
sr = 7*np.arcsinh(f/650)
wsg = 6*np.arcsinh(f/600)
kov = 8.96*np.log(0.978 + 5*np.log(0.994 + ( (f + 75.4)/2173 )**1.347))

plt.figure(figsize=(10, 7), dpi=300)
plt.plot(f*1e-3,zw, label='Zwicker')
plt.plot(f*1e-3,tr, label='Traunmüller')
plt.plot(f*1e-3,sr, label='Schroeder')
plt.plot(f*1e-3,wsg, label='Wang, Sekey & Gersho')
plt.plot(f*1e-3,kov, label='Kovalchuk')

plt.plot(np.array([100,1270,2700,6400,9500,15500])*1e-3,[1,10,15,20,22,24],\
         'ro', label='Points from the Bark scale')

plt.xlabel('Frequency in kHz')
plt.ylabel('Frequency in Bark')
plt.title('Approximation of the Bark Scale')
plt.legend()
plt.grid()
plt.savefig('Results.png')

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Category:CC-BY-SA-4.0#Bark%20scale%20approximation.pngCategory:Self-published work
Category:Loudness Category:Bark scale Category:Plots involving frequency or wavelength
Category:Bark scale Category:CC-BY-SA-4.0 Category:Loudness Category:PNG created with Matplotlib code Category:Plots involving frequency or wavelength Category:Self-published work