Consider a filter with system function(a) Sketch the pole-zero patterns.(b) Using geometric arguments. Show that for r

Question:

Consider a filter with system function(a) Sketch the pole-zero patterns.(b) Using geometric arguments. Show that for r ? 1. The system is a notch filter and provide a rough sketch of its magnitude response if ?0 = 60.(c) For ?0 = 60. Choose b0 so that the maximum value of |H (?)| is 1.(d) Draw a direct form II realization of the system(e) Determine the approximate 3-dB bandwidth of the system.