Discussion
Consider the following statements about the sampling theorem.
1. The sampling rate must be at least twice the highest signal frequency
2. An anti-alias filter is needed before the sampler
3. Aliasing can be corrected by a filter after the sampler
Which of the statements given above is or are correct?
Answer: C
The first two are correct and the third is not: aliasing is irreversible, because the folded component lands on a frequency the signal itself occupies. That single fact is what makes the anti-alias filter mandatory rather than optional, and it is why the sampling rate and the filter's cut-off are chosen as one decision rather than two.
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