File:Fourier31.gif
Summary
| Description |
Magyar: A négyszögjel közelítése Fourier-sorral 31 tagig. English: The Fourier series approximation of a square wave. |
| Date | |
| Source | Own work |
| Author | Harp |
The separate pictures was made with this program (fourier.py):
#!/usr/bin/env python
# coding: utf-8
from __future__ import division
import pylab
from pylab import show, plot, linspace
from pylab import zeros
from pylab import sin, pi
def fourier(n=15):
x = pylab.linspace(-pi, pi, 1024)
y = pylab.zeros(1024)
pylab.grid(False)
pylab.hold(False)
for i in range(1,n+1,2):
y += sin(i*x)/i
pylab.plot(x,4/pi*y, "b")
pylab.title(u"Fourier series approximation of square wave, %02d addends" %n)
pylab.savefig("fourier%02d.png" % n)
#pylab.show()
if __name__ == "__main__":
for i in range(1,33,2):
fourier(i)
Then thise pictures was unified with ImageMagick into one gif as follows:
convert -delay 30 -loop 0 *.png fourier.gif
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