## Continuous Time Fourier Series of sine signal

This program is used to calculate the Continuous Time Fourier Series Spectral Coefficients of a periodic sine signal

```
//Continuous Time Fourier Series Spectral Coefficients of
//a periodic sine signal x(t) = sin(Wot)
clear;
close;
clc;
t = 0:0.01:1;
T = 1;
Wo = 2*%pi/T;
xt = sin(Wo*t);
for k =0:5
C(k+1,:) = exp(-sqrt(-1)*Wo*t.*k);
a(k+1) = xt*C(k+1,:)'/length(t); //fourier series is done
if(abs(a(k+1))<=0.01)
a(k+1)=0;
end
end
a =a';
ak = [-a($:-1:1),a(2:$)];
disp(ak,'Continuous Time Fourier Series Coefficients are:')
//Result
//Continuous Time Fourier Series Coefficients are:
// column 1 to 11
// 0 0 0 0 -1.010D-18+0.4950495i 0 1.010D-18-0.4950495i 0 0 0 0
```

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