MUHAMMAD AL-XORAZMIY NOMIDAGI TOSHKENT AXBOROT TEXNOLOGIYALARI UNIVERSITETI
Amaliy ish
Topshirdi: ___-21guruh talabasi
______________________________
Qabul qildi: _________________
Toshkent 2024
20.
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z=2cos(x/π)+sin(x)
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Deskret Fure,
Deskret Cosinus
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x (0; πN/2),
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# ** DTC bo`yicha o`zgartirish**
from scipy.fft import dct
from scipy.fft import idct
import numpy as np
import matplotlib.pyplot as plt
N=20
D = dct(np.eye(N), axis=0, norm='ortho')
D1 = dct(np.eye(N), axis=0, norm='ortho')
print(D)
x = np.arange(0, N, 1)
y1 = 2*np.cos((x)/(np.pi)) + np.sin(x)
y = np.array(y1)
F=np.dot(y,D)
print(F)
fig, axs = plt.subplots(2)
axs[0].plot(y1, 'tab:orange')
axs[1].stem(F, 'tab:green')
F1 = [ 2.14163975, 3.46469804, 0, -2.25161152, 0, 0, 0, 0]
t=D.transpose()
y0 = np.dot(F,t)
print(y)
print(y0)
fig, axs = plt.subplots(2)
axs[0].plot(y1, 'tab:orange')
axs[1].plot(y0, 'tab:green')
#Fure
import numpy as np
import matplotlib.pyplot as plt
N = 20
f = np.array( np.fft.fft(np.eye(N)))
f1 = np.array( np.fft.ifft(np.eye(N)))
x = np.arange(0, N, 1)
y1 = 2*np.cos((x)/(np.pi)) + np.sin(x)
y = np.array(y1)
F=np.dot(y,f)
print(F)
fig, axs = plt.subplots(2)
axs[0].plot(y1, 'tab:orange')
axs[1].stem(F, 'tab:green')
F1= [ 3.76779793+0.j, 5.34182634-6.85753823j, 0+0.j, 0+0.j, 0+0.j, 0-0.j, 0-0.j, 5.34182634+6.85753823j]
ff =f.transpose()
y0 = np.dot(F,f1)
print(y)
print(y0)
fig, axs = plt.subplots(2)
axs[0].plot(y1, 'tab:orange')
axs[1].plot(y0, 'tab:green')
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