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What is the duration of the unit sample response of a digital filter?

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What is the duration of the unit sample response of a digital filter?

(a) Finite

(b) Infinite

(c) Impulse(very small)

(d) Zero

I had been asked this question during an interview.

I would like to ask this question from Design of IIR Filters from Analog Filters topic in chapter Digital Filters Design of Digital Signal Processing

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Best answer
The correct option is (b) Infinite

Best explanation: Digital filters are the filters which can be designed from analog filters which have infinite duration unit sample response.

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