Consider the following filters with the given poles and zeros, and dc constant

H₁(s): K = 1 poles p₁ = −1, p_2,3 = −1 ± jπ

zeros z₁ = 1,z_2,3 = 1 ± jπ

H₂(s): K = 1 poles p₁ = −1, p_2,3 = −1 ± jπ

zeros z_1,3 = ± jπ

H₃(s): K = 1 poles p₁ = −1, p_2,3 = −1 ± jπ

zero z₁ = 1

Use MATLAB to plot the magnitude responses of these filters and indicate the type of filters they are.