+1 vote
in Signals and Systems by (1.2m points)
In which of the filter circuits given below, will the bandwidth be equal to the critical frequency?

(a) Low-pass

(b) High-pass

(c) Band-pass

(d) Band-stop

This question was posed to me during an internship interview.

This interesting question is from Ideal LPF, HPF, BPF and BSF Characteristics topic in division Signal Transmission Through Linear Systems of Signals and Systems

1 Answer

0 votes
by (42.1k points)
The correct choice is (a) Low-pass

To explain: Bandwidth can be calculated by considering,

 Largest positive value – Smallest Positive Value

Here, in case of the Low-pass filter only, the largest positive value will of course be the critical frequency, beyond which frequencies have to be blocked. Hence, the bandwidth in a Low-pass filter equals the critical frequency.

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