In: Electrical Engineering
use matlab
y(t)=10*(cos(2*pi*500*t)+cos(2*pi*1000*t)+ cos(2*pi*1500*t)).
e) Down sample y(t) by a factor of 6. Sketch the Fourier transform with appropriate frequency axis. Check if all frequency components are correct?
Up-sample the time-domain signal obtained in e) by a factor of 6. Use appropriate filter for interpolation. Sketch the Fourier transform of the up-sampled and filtered signal. Does the resulting signal show all frequency components of the original signal y(t)?