File:Square wave summation animation.gif
Summary
| Description |
English: The animation shows the square wave being constructed. The blue curve is the summation of the previous frequencies while the red curve is the frequency that is currently added.
freq = 1/(2*pi); x = 0:0.01:2*pi; figure(1) filename = 'image.gif'; flag_first = 1 map = @(x) -2*x.^3+3*x.^2 % maps [0,1] to [0,1] for n = 1:8 s = @(x,k) bsxfun(@rdivide,sin(bsxfun(@times,2*pi*(2*k-1)*freq,x)),(2*k-1));
f = @(x,t) 4/pi * (sum(s(x,[1:n-1]'),1) + t*sin(2*pi*(2*n-1)*x*freq)/(2*n-1));
for t = map(linspace(0,1,18-n))
clf
hold on
plot(x,f(x,t))
plot(x,t*4/pi*sin(2*pi*(2*n-1)*x*freq)/(2*n-1),'r-')
axis([0,2*pi,-1.5,1.5]);
text(-0.2,1.5,['f = ',num2str(2*n-1)])
set(gcf,'color',[1 1 1]);
axis off
hold off
drawnow
frame = getframe(1);
im = frame2im(frame);
[imind,cm] = rgb2ind(im,256);
if flag_first == 1;
imwrite(imind,cm,filename,'gif', 'Loopcount',inf, 'DelayTime',0.1);
flag_first = 0;
else
imwrite(imind,cm,filename,'gif','WriteMode','append','DelayTime',0.1);
end
end
end |
| Date | |
| Source | Own work |
| Author | Feudiable |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
