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Convolution Achievers Quiz 3

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Question 1

An input x(t) = e-2t u(t) + δ(t - 6) is applied to an LTI system having impulse response h(t) = u(t). The output is

Question 2

The convolution of  is:

Question 3

An LTI system has step response (1 – e–t) u(t). The response for the following input, x(t) at t = 2 is

Question 4

Consider the two LTI system connected as shown below

If the impulse response of the two systems are given as h1(t) = δ(t) and h2(t) = The input to the system is x(t) = e-2t u(t), then the output y(t) of the system at t = 2 sec will be ______.

Question 5

Find the system’s response to the input x(t)=u(t) if the unit impulse response h(t)of a DT LTI system is h(t) =

Question 6

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 7

x(t) and h(t) are shown in the figure below.

Then x(t)*h(t) will be  when

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Sep 16ESE & GATE EE