Design an active high-pass filter to meet the specification in Problem 14-40. Use Multisim to verify that your design meets the specifications.

Data From Problem 14-40

Construct the lowest order, high-pass transfer functions that meet the following filter specifications. Calculate the gain (in \(\mathrm{dB}\) ) of the transfer function at \(\omega=\omega_{\mathrm{C}}\) and \(\omega_{\text {MIN }}\). Use MATLAB to validate that your transfer function meets the design specifications.

Pole Type c T MAX (rad/s) (dB) 40 Butterworth 100 k MIN (rad/s) 10 k T MIN (dB) -30