Hi, How do you plot cos(omega*t) where omega=2*pi*f, for range of frequency like (20:2000). I am confused because there is both time and frequency, do we need to convert time to frequency domain?
MATLAB: Plotting cos(omega*t)
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If you just want to add a specific frequency noise in you signal then try this
f = 5;fn = 60;t = linspace(0, 1, 200);y = sin(2*pi*f*t);yn = 0.2*sin(2*pi*fn*t);y = y + yn;plot(t, y)
Check the fft() of the signal and you will see peaks at 5Hz (original signal) and 60Hz (noise)
Fs = 1/(t(2)-t(1));fv = linspace(0, 1, numel(t))*Fs;mag = abs(fft(y));plot(fv, mag);
For all but the simplest cases the term bandwidth is ambiguous. You probably want to look at the long-time Fourier transform instead of the short-timer (i.e., spectrogram). Assuming your audio signal is single channel and called x
plot(20*log10(abs(fft(x))))From there you might be able to define the lower and upper frequency bounds of your signal.
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