Match the Column I with Column II and select the correct answer using the codes given below :
Column I
(P) Low Pass Filter
(Q) High Pass Filter
(R) Band Pass Filter
(S) FIR Filter
Column II
MH SET - 2018, SET Exam - 2018,
Answer: A
The correct matching is P-3, Q-1, R-2, S-4.
Read each plot by asking where the poles boost and the zeros suppress the response on the unit circle (z = 1 is zero frequency, z = -1 is half the sampling rate):
- Plot 3: a pole near z = 1 and a zero at the origin, so low frequencies are emphasised: low pass (P).
- Plot 1: a zero at z = 1 kills the DC response and a pole near z = -1 boosts the highest frequencies: high pass (Q).
- Plot 2: a complex pole pair at an intermediate angle with a double zero at the origin peaks the response in a middle band: band pass (R).
- Plot 4: all four poles at the origin and only zeros elsewhere, so the impulse response is finite: FIR (S).
The other codes swap the low pass and high pass plots or give the FIR label to the band pass plot, which has poles away from the origin and so an infinite impulse response.
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