# Trying to plot frequency spectrum from set of samples.

Hi everyone. I have a set of samples (x(n)’s) in a table corresponding to a mysterious **signal** x(t). What I am trying to do is display the frequency spectrum of this set of samples with a certain resolution.

I am confused on how to actually plot this frequency spectrum when I am just given a table of values, an fs, and using a certain N value.

So for example, say I was given a set of samples like this:

0 1 2 3 4 5 6 7 8 9 0 1.25 0.57 -0.29 -0.78 -0.70 0.37 0.87 0.49 -0.18

How would I plot the frequency spectrum with say a resolution of 50 hz?

I went about it like this, (keep in mind this code pertains to a set of samples that is 1251 long, I created the above example for ease of use), however my graph doesn’t look right as the magnitudes shouldn’t go above 1 since the amplitudes never go above 1?

`signal = xt;`

N = length(signal);

fs = 25000; % 25000 samples per second

fnyquist = fs/2; %Nyquist frequency

plot(abs(fft(signal)))

xlabel('Frequency Spectrum)')

ylabel('Magnitude');

title('Double-sided Magnitude spectrum');

axis tight

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So for example, say I was given a set of samples like this:’

‘0 1 2 3 4 5 6 7 8 9 0 1.25 0.57 -0.29 -0.78 -0.70 0.37 0.87 0.49 -0.18’

‘How would I plot the frequency spectrum with say a resolution of 50 hz?’

You would do it with the absolutely clear code between the first two figures in the **documentation** for the fft function.

This is essentially an exact copy of that code, other than its using your vector and sampling frequency:

`x = [0 1 2 3 4 5 6 7 8 9 0 1.25 0.57 -0.29 -0.78 -0.70 0.37 0.87 0.49 -0.18];`

Fs = 50;

Fn = Fs/2;

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