An anti-aliasing filter for an audio digitiser must have its edge at and be at least…

PHYSICS · Subjective · Fermi University Physics · Electronics, Instrumentation & Communication · Feedback, operational amplifiers and analogue signal processing · Feedback, operational amplifiers and analogue signal processing

Inside the Instrument, Ch Filters, crystal oscillators and phase-locked loops

Problem

An anti-aliasing filter for an audio digitiser must have its

-3\,\mathrm{dB}

edge

\omega_c

5\,\mathrm{kHz}

and be at least

40\,\mathrm{dB}

down by

15\,\mathrm{kHz}

. Assuming a Butterworth response, find the minimum order

n

that meets this stopband requirement.

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