Sensors & Data Acquisition — question 9 of 10
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A single real pole rolls off at roughly 20 dB/decade. You need to go from -3dB near 200-300Hz down to about -60dB by 500Hz.
You need to digitize a sensor signal with real content up to 200 Hz, sampled by an ADC running at 1 kHz (Nyquist = 500 Hz). You start with a single-pole RC anti-aliasing filter set at a -3dB cutoff around 200-300Hz. Roughly how many poles (i.e., what order of filter) would you actually need to suppress content at the Nyquist frequency by 60dB relative to the passband, given the narrow transition band between 200Hz and 500Hz? Is a single RC pole sufficient, and if not, what would you change about the overall approach?
This one resolves to a number. Give the value in the field below and your reasoning in the box — the number is checked exactly, by arithmetic.