Convert the high pass filter with system function into a notch filter that rejects the frequency 0 4 and its harmonics (a) Determine the difference equation (b) Sketch the pole zero patterns (c) Sketch the magnitude response for the both filters ...

a Replace z by z8 We need 8 zeros at the frequ ...

Convert the high pass filter with system function into a notch filter that rejects the frequency 0

Question:

Convert the high pass filter with system function into a notch filter that rejects the frequency ω0 = π/4 and its harmonics.
(a) Determine the difference equation.
(b) Sketch the pole-zero patterns.
(c) Sketch the magnitude response for the both filters.