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GATE 2023 Signal & System Quiz 28
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Question 1
Find the system’s response to the input x(t)= if the unit impulse response h(t) of a DT LTI system is h(t) = u(-t+1) use convolution?
Question 2
The Laplace transform of x(t) is
The final value of x(t) is
The final value of x(t) is
Question 3
Compute the output y(t) for a continuous time LTI system whose impulse response h(t) and the input x(t) are given by
h(t) = e–αt u(t) , x(t) = eαt u(–t) α > 0
h(t) = e–αt u(t) , x(t) = eαt u(–t) α > 0
Question 4
The Laplace transform of
Question 5
Let y(t) =[u(t)]*(t-3k) such that, y(t)=A for 0≤t<3, determine the value of A
Question 6
if
And Laplace transform of
Then Laplace transform of
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