Browse Source

Added Digital Filter Script

Erste Versuche einen digitalen Bandpassfilter zur Generierung des Wunsch Rauschens.
master
seyffejn 3 years ago
parent
commit
3e07307394
3 changed files with 170 additions and 12 deletions
  1. 1
    0
      .gitignore
  2. 73
    12
      TinnitusAnalyse/.idea/workspace.xml
  3. 96
    0
      TinnitusAnalyse/DigitalFilter.py

+ 1
- 0
.gitignore View File

@@ -3,3 +3,4 @@ TinnitusAnalyse/.idea/dictionaries/Julian.xml
TinnitusAnalyse/.idea/workspace.xml
TinnitusAnalyse/eggs.csv
TinnitusAnalyse/.idea/workspace.xml
*.xml

+ 73
- 12
TinnitusAnalyse/.idea/workspace.xml View File

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+ 96
- 0
TinnitusAnalyse/DigitalFilter.py View File

@@ -0,0 +1,96 @@
import matplotlib.pyplot as plt # For plotting
from math import sin, pi, cos # For generating input signals
import numpy as np
import sys # For reading command line arguments


fs = 44100 # sampling frequency (Abtastfrequenz)

koeff = {
"b0": 0,
"b1": 0,
"b2": 0,
"a1": 0,
"a2": 0
}

def koeffizienten_berechnen(omega, r):
# Koeffizientenberechnung nach Tobola VL S.107 - IIR Filter, 2. Ordnung
koeff["b0"] = 1
koeff["b1"] = 0
koeff["b2"] = -1
koeff["a1"] = -2*r*cos(omega)
koeff["a2"] = r**2

def filter(x):
y = [0]*len(x)
for k in range(4, len(x)):
y[k] = koeff["b0"]*x[k] + koeff["b1"]*x[k-1] + koeff["b2"]*x[k-2] - koeff["a1"]*y[k-1] - koeff["a2"]*y[k-2]

return y




dauer_ms = 10000 # 10 Sekunden
num_samples = dauer_ms * (fs / 1000) # framerate -pro Sekunde- umgerechnet in -pro Millisekunde-

t = np.linspace(0, 10, int(num_samples)) # array zum darstellen der x-Achse
amp = 1

f_input1 = 1
f_input2 = 5
f_input3 = 10

input1 = []
input2 = []
input3 = []
for x in range(int(num_samples)): # einen einfachen Sinus ins array schreiben
input1.append(amp * sin(2 * pi * f_input1 * (x / fs)))
input2.append(amp * sin(2 * pi * f_input2 * (x / fs)))
input3.append(amp * sin(2 * pi * f_input3 * (x / fs)))


input_ges = np.add(input1, input2) # Sinus aufaddieren um ein halbwegs realistisches Audiosignal zu bekommen
#input_ges = np.add(input_ges, input3)

#Filterparameter hier einstellen
fr = 5
omega = 2*pi*fr/fs
r = 0.01
koeffizienten_berechnen(omega, r) # Koeffizienten berechnen mit Mittelfrequenz 10Hz

output = filter(input_ges)

### Plot the signals for comparison
plt.figure(1)
plt.subplot(231)
plt.ylabel('Amplitude')
plt.xlabel('t [s]')
plt.title('Input1 f=' + str(f_input1) + "Hz")
plt.plot(t, input1)

plt.subplot(232)
plt.ylabel('Amplitude')
plt.xlabel('t [s]')
plt.title('Input2 f=' + str(f_input2) + "Hz")
plt.plot(t, input2)

# plt.subplot(233)
# plt.ylabel('Amplitude')
# plt.xlabel('t [s]')
# plt.title('Input3 f=' + str(f_input3) + "Hz")
# plt.plot(t, input3)

plt.subplot(234)
plt.ylabel('Amplitude')
plt.xlabel('t [s]')
plt.title('input_ges = i1 + i2')
plt.plot(t, input_ges)

plt.subplot(235)
plt.ylabel('Amplitude')
plt.xlabel('Samples')
plt.title('gefiltertes Signal mit Resonanzfrequenz = ' + str(fr) + "Hz")
plt.plot(t, output)
plt.show()

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