In this problem, we use a sampling frequency of 8000 Hz. Design and simulate a digital oscillator where the impulse response is of the form h(n)=cos(ωω0n)u(n)
Calculate ωω0 such that the frequency of the oscillator is f = 200 Hz. Sketch the frequency response. (see the notes in the filter design section)
a) Give the transfer function of the digital systems.
b) Implement the digital system in MATLAB.
c) Determine the appropriate input excite the digital system and generate 10000 samples of the sin wave.
d) Plot the spectrogram of the sine wave.
e) make w0=2 (pi n(100+0.01n) n ) n=1:10000. Listen to the output the digital systems and plot the spectrogram