A) Design a 2nd,4th , and 6th order Butterworth band stop filters with a center frequency at 450 rad/sec and a bandwidth of 100 rad/sec. the final answer should be a ratio of polynomials in descending power of s.
B) Plot the Magnitude and Phase Response of each filter (Use bode command in matlab to draw these Bode Plots.)
C) By using simulink, simulate this 3 filters with input (f(t)=cos50t+cos450t+cos700t).