How Fourier Synthesis is performed using Matlab ?

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I have read about Fourier Synthesis
http://whatis.techtarget.com/definition/Fourier-synthesisFourier-synthesis I want to clear my concept about Fourier Synthesis using Matlab .But don't know how to do this.
So can anybody show me how Fourier Synthesis is performed using Matlab?

回答(2 个)

Youssef  Khmou
Youssef Khmou 2015-5-18
编辑:Youssef Khmou 2015-5-18
Fourier synthesis is simple application of coefficients summation either numerically or symbolically, Fourier decomposition requires certain conditions of the input function, you can start with a simple example which is an approximation of a square wave of 2 Hz, using 11 terms :
Fs=150;
t=0:1/Fs:4-1/Fs;
f=2;
x=square(2*pi*f*t);
figure;
plot(t,x);
axis([0 1 -2 2]);
% Approximation with Fourier decomposition
y=0;
N=11;
for r=1:2:N
y=y+sin(2*pi*f*t*r)/r;
end
hold on;
plot(t,y,'r');
xlabel('t');
ylabel('magnitude');
hold off;

Image Analyst
Image Analyst 2015-5-18
There is nothing at that link. I don't know what Fourier Synthesis might be synthesizing. I don't think computing the Fourier spectrum of a signal or image is called "synthesizing", at least not by anyone I know, so I'm not really sure. You can synthesize things though, such as the attached demo where I synthesize clouds by manipulating the Fourier Spectrum.
  4 个评论
Image Analyst
Image Analyst 2015-5-19
Make sure that you're passing in an even number for rows and columns.

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