A digital notch filter is required to remove an undesirable 60-Hz hum associated with a power supply in an ECG recording application. The sampling frequency used is Fs = 500 samples/s.
(a) Design a second-order FIR notch filter and
(b) a second order pole-zero notch filter for this purpose. In both cases choose the gain b0 so that |H(ω)| = 1 for ω = 0.