# I am trying to run a code that results in AM. But in the frequency spectrum, I get the spectrum at a carrier frequency 6 times the original. What am i doing wrong?

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fs=input('Input the sampling frequency : ');

fc=input('Input the carrier frequency : ');

fm=input('Input the message frequency : ');

Am=input('Input the message amplitude : ');

Ac=input('Input the carrier amplitude : ');

dt=1/fs;

t=[-3:dt:3];

m=Am*cos(2*pi*fm*t);

f=1./t;

M=ammod(m,fc,fs,0,Ac);

subplot(2,1,1)

plot(abs(fft(M)));

hold

subplot(2,1,2)

plot(t,M);

##### 2 Comments

Navan Ruthramoorthy
on 18 Oct 2013

### Answers (1)

David
on 20 Oct 2013

Edited: David
on 20 Oct 2013

Are you remembering to divide by 2*pi in your frequency plot?? w = 2*pi*f and 2*pi~6.

If this isn't the problem then it may be the number of FFT points you are using. NFFTPts = (Fs*(max(T) - min(T)))/2.

##### 2 Comments

David
on 20 Oct 2013

Edited: David
on 20 Oct 2013

Okay, since I do not know exactly how you are using the FFT function, a division of 2 may or may not be valid.

As for the slight differences you are getting in frequency, that might be due to the frequency resolution of your plot. Frequency resolution is given by the following equation:

df = 1/T = Fs/N

where T is total acquisition time, N is the number of samples, and Fs is the sampliing frequency. However, in your case, this would be df = 1/6 Hz, which is much smaller than the error you are getting. I'm not sure why you are getting these mixed results...

Note: The frequency resolution improves as the observation time T increases.

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