Use the low pass filter designed in Problem 92 to evaluate t

Use the low pass filter designed in Problem 9.2 to evaluate the transfer function of a band pass and band stop filters with edge Frequencies omega_1 = 2 pi times 750 r/s, omega = 2 pi times 1200 r/s. Evaluate the transfer function of a high pass filter of cut-off frequency of 2 pi times 500 r/s. Note the low pass filter of problem 9.2 is: [B, A] = Butter (N, 1\' s\') H_T (s) = 1/s^3 + 2s^2 + 2s + 1

Solution

Number of order is n=3

Write MATLAB code and find the band pass transfer function.

[num,den] = butter(3,[0.5 0.8],\'pass\')

T_p=tf(num,den)

MATLAB output:

Write MATLAB code and find the band stop transfer function.

[num,den] = butter(3,[0.5 0.8],\'stop\')

T_s=tf(num,den)

MATLAB output:

Here, assign the sampling frequency value is 1000Hz.

Write MATLAB code and find the high pass transfer function.

[num,den] = butter(3,1,’high’,’s’);

T_h=tf(num,den)

MATLAB output: