Question: Construct the lowest-order transfer functions that meet the following low-pass filter specifications. Calculate the gain (in (mathrm{dB}) ) of the transfer function at (omega=omega_{mathrm{C}}) and

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

Pole Type Chebyshev W C T MAX (rad/s) (dB) 25 k 60

Pole Type Chebyshev W C T MAX (rad/s) (dB) 25 k 60 MIN (rad/s) 250 k T (dB) -80 MIN

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