GATE EE 2021 Set 1 — Question 17
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Signals & Systems → LTI Systems → Convolution Integral & Sum
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Question
Two discrete-time linear time-invariant systems with impulse responses and are connected in cascade, where is the Kronecker delta. The impulse response of the cascaded system is
Correct answer
(C) δ[n-2] + δ[n-1] + δ[n] + δ[n+1]
Solution
The impulse response of two cascaded LTI systems is the convolution of their individual impulse responses.
Using the property :
Rearranging terms: .
This matches option (C).
Using the property :
Rearranging terms: .
This matches option (C).
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