How Fourier Synthesis is performed using Matlab ?

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ramdas patil
ramdas patil 2015년 5월 18일
댓글: Ahmed Mujtaba 2016년 11월 16일
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?

답변(2개)

Youssef  Khmou
Youssef Khmou 2015년 5월 18일
편집: Youssef Khmou 2015년 5월 18일
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;
  댓글 수: 1
Ahmed Mujtaba
Ahmed Mujtaba 2016년 11월 16일
Thanks.. Exactly what I was looking for. Simple and Compact.

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Image Analyst
Image Analyst 2015년 5월 18일
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.
  댓글 수: 4
Image Analyst
Image Analyst 2015년 5월 19일
Make sure that you're passing in an even number for rows and columns.

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