The frequency response of a system is shown in the figure De

The frequency response of a system is shown in the figure. Determine which one of the following transfer functions matches with the frequency response: H(z) = 0.5 + z^-2/1 = z^-1 H(z) = 1 + z^-2/1 - 0.75z^-1 H(z) = 1 + z^-2/1 + z^-1 H(z) = 0.5 + z^-2/1 - 0.75 z^-1

Solution

Option a is the normalized frequency for the system as shown in figure

Because it has two poles and one zero