1) Determine the transfer of second-order highpass filter with a cutoff frequency of 900 Hz and passband gain of 1 using a butterworth type.
2) Design a filter for your transfer function from question.1 using the sallen-Key topology. Find all the values of the circuit elemnts and draw the circuit.
3) Given an analog signal
x(t) = 5 cos(6500pi t)+2 cos(8000pi t) +3 cos (12000pi t), for t>=0
sampled at a rate of 9000 Hz
a) Plot the spectrums for the range from 0 Hz to 25000 Hz. Make sure to label the frequncies.
b) sketch the recoverd analog signal spectrum if an ideal lowpass filter with a cutoff frequncey of 4.5 kHzis used to filter the sampled signal.
c) Determine which frequency (ies) will be the aliased one(s). Explain