A high-pass Butterworth filter is to be designed with a cutoff frequency of (f_{3 mathrm{~dB}}=4 mathrm{kHz}). The

Question:

A high-pass Butterworth filter is to be designed with a cutoff frequency of $f_{3 \mathrm{~dB}}=4 \mathrm{kHz}$. The gain magnitude is to be reduced by $12 \mathrm{~dB}$ at $f=3 \mathrm{kHz}$ from the maximum gain value. Determine the required order of filter.

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