a/ Determine the order N of the Butterworth low-pass filter, which satisfies Amax = 2 dB (maximum attenuation in passban

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a/ Determine the order N of the Butterworth low-pass filter,
which satisfies Amax = 2 dB (maximum
attenuation in passband), fs = 100 kHz (passband maximum
frequency), fp = 150 kHz (stopband
minimum frequency) and Amin = 15 dB (minimum attenuation in
stopband).
b/ Determine the poles of the Butterworth filter designed in part
(a) and plot the pole/zero diagram
of that filter.
c/ Write the transfer function of the filter designed in part (a)
and (b).