Question: 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}})

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 First-order cascade @ C T MAX (rad/s) (dB) 200 k

Pole Type First-order cascade @ C T MAX (rad/s) (dB) 200 k 20 @ MIN (rad/s) 10 k T MIN (dB) -50

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