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

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. (1 e (-e ) (1 - re-1 - re- ju-) H(E) =

(1 e (-e ) (1 - re-1 - re- ju-) H(E) = bm

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