amplitude and phase spectrum

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i have this signal.
x=8*cos(30*pi*t+pi/3)+6*sin(50*pi*t-pi/3)+8*cos(70*pi*t-pi/4)
i want to make
  1. single-sided amplitude spectrum
  2. single-sided phase spectrum
  3. double-sided amplitude spectrum
  4. double-sidedphase spectrum
i want the final graphs to look like this. how do i do this ? This above image is just an example not the correct values. Im confused because all the answers suggest fft

采纳的回答

Star Strider
Star Strider 2021-4-13
No idea what the sampling frequency is, so I created one.
Try this:
Fs = 600;
t = linspace(0, Fs*10, Fs*10)/Fs;
x=8*cos(30*pi*t+pi/3)+6*sin(50*pi*t-pi/3)+8*cos(70*pi*t-pi/4);
L = numel(t);
Fc = fft(x)/L;
Ts = mean(diff(t));
Fn = Fs/2;
Fv2 = linspace(-Fn, Fn, numel(t));
figure
subplot(2,1,1)
plot(Fv2, fftshift(abs(Fc)))
title('Amplitude')
grid
subplot(2,1,2)
plot(Fv2, angle(fftshift(Fc)))
title('Phase')
grid
sgtitle('Double-Sided Fourier Transform')
Fv = linspace(0, 1, fix(L/2)+1)*Fn;
Iv = 1:numel(Fv);
figure
subplot(2,1,1)
plot(Fv, abs(Fc(Iv))*2)
title('Amplitude')
grid
subplot(2,1,2)
plot(Fv, angle(Fc(Iv)))
title('Phase')
grid
sgtitle('Single-Sided Fourier Transform')
.

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