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GATE 2024 Signal & System Foundation Quiz 30

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Question 1

Find y(n), if x(n) = u(n) – u(n – 1) & h(n) = δ(n + 2)

Question 2

Two discrete-time linear time-invariant systems with impulse responses h1[n] = δ[n – 1] + δ[n + 1] and h2[n] = δ[n] + δ[n – 1] are connected in cascade, where δ[n] is the Kronecker delta. The impulse response of the cascaded system is:

Question 3

The impulse response of a linear time-invariant system is a rectangular pulse of duration T. It is excited by an input of a pulse of duration T. What is the filter output waveform?

Question 4

Find the inverse Laplace transform of for region of convergence (ROC) −3 < Re{s}< −2

Question 5

If the laplace transform of a signal x(t) as shown in below figure is.

Then the value of k is_________

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Apr 11ESE & GATE EC