Error using plot Vectors must be the same length
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% Define time range
t = -0.2:0.0001:0.2;
% Calculate signal s(t)
s = cos(2*pi*10*t).*cos(27*pi*200*t);
% Plot s(t)
figure(1);
plot(t, s);
xlabel('Time (s)');
ylabel('Amplitude');
title('AM Modulated Signal s(t)');
% Calculate Fourier transform of s(t)
Fs = 10000; % Sampling frequency
S = fftshift(fft(s))/length(s);
size(S)
f = (-Fs/2:Fs/2-1)/length(s);
size(f)
% Plot two-sided spectrum of S(f)
figure(2);
plot(f, abs(S));
xlabel('Frequency (Hz)');
ylabel('Magnitude');
title('Two-Sided Spectrum of S(f)');
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Answers (1)
Torsten
on 22 Mar 2023
Moved: Matt J
on 22 Mar 2023
As you can see above, S and f have a different number of elements. So they cannot be plotted against each other.
2 Comments
Matt J
on 22 Mar 2023
As for S.f, they have the same number of elements as shown in the code.
It is puzzling that you think so. Running the code clearly shows that length(S)=4001 while length(f)=10000
% Define time range
t = -0.2:0.0001:0.2;
% Calculate signal s(t)
s = cos(2*pi*10*t).*cos(27*pi*200*t);
% Calculate Fourier transform of s(t)
Fs = 10000; % Sampling frequency
S = fftshift(fft(s))/length(s);
f = (-Fs/2:Fs/2-1)/length(s);
length(S)
length(f)
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