3-laboratoriya ishi

Algoritmlarni loyihalash fanidan

3-laboratoriya ishi

Fan o’qituvchisi:

1-vazifa

Jadval ko’rinishida berilgan funksiyalarni Furye qatori asosida raqamli signallar
yetakchi garmonikalarini aniqlash usuli bilan analitik ko’rinishda ifodalang.
Algoritmini tuzib, dasturlash tilida dastur kodini yozing va natija oling.
Laboratoriya ishiga doir variantlar:


Dastur kodi:
import math

def sum(f, w, t, k):

sumfsin = 0
for i in range(len(f)-1):
sumfsin += f[i]*(math.sin(k) * (w[k] * (i + 1 /2)) * (t[k] - t[k-1])- math.sin(k) * w[k] * (i-1 / 2) * (t[k] - t[k-1]) )
return sumfsin
t = []
k = 0
w = [0]
a = []
T = 2 * math.pi
for i in range(0, 21):
t.append(k)
k += 0.000005
k = 0
for i in range(1, 21):
w.append(2 * math.pi / t[i])
f = [8.584047, 7.443433, -6.3503, -13.9275, -4.75874, 8.789093, -4.52336, -11.5244, -2.01441, 11.60873, 11.13316, -2.3603, -10.0331, -1.3408, 11.40154, 10.06699, -4.18289, -12.4364, -4.08937, 8.57948]
sumhf = 0
for i in range(len(f)-1):
sumhf += (t[i] - t[i-1]) * f[i]
a.append(2/T * (t[0] / 2 * f[0] + sumhf + t[-1] / 2 * f[-1]))
b = [0]
for i in range(1, 21):
a.append(2/(i * w[i] * T)*(f[0] * math.sin(i * w[i] * (t[i] - t[i-1]) / 2) + sum(f, w , t, i) + f[-1] * (math.sin(i) * w[i] * T - math.sin(i) * w[i] * (T - (t[i] - t[i-1])))))
print(a)
for i in range(1, 21):
b.append(2/(i * w[i] * T)*(f[0] * math.cos(i * w[i] * (t[i] - t[i-1]) / 2) + sum(f, w , t, i) + f[-1] * (math.cos(i) * w[i] * T - math.cos(i) * w[i] * (T - (t[i] - t[i-1])))))
print(b)
c = []
l = []
for i in range(1, 21):
c.append(math.sqrt(a[i]**2 + b[i]**2))
l = c
c.sort(); c.reverse()
Uning natijasi:

2-Vazifa:
Jadval ko’rinishida berilgan funktsiyalarni eng kichik kvadratlar usuli bilan analitik
ko’rinishda ifodalang. Algoritmini tuzib, dasturlash tilida dastur kodini yozing va natija
oling.
Laboratoriya ishiga doir variantlar:

Dastur kodi:

Uning natijasi: