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Convolution Achievers Quiz 2
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Question 1
If u(t), r(t) denote the unit step and unit ramp functions respectively and u(t)*r(t) their convolution, then the function [u(t +1)]*[r(t-2)] is given by
Question 2
Convolution of x(t+5) with impulse function 
is equal to
is equal to Question 3
Two systems with impulse responses h1(t) and h2 (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
Question 4
The impulse response of a continuous time system is given by h(t) = δ(t-1) + δ(t-3). The value of the step response at t = 2 is
Question 5
The impulse response of an LTI system can be obtained by
Question 6
Given two continuous time signals x(t) = 
and y(t) = 
which exists for t>0, the convolution z(t) = x(t)*y(t) is
and y(t) = which exists for t>0, the convolution z(t) = x(t)*y(t) is Question 7
Consider a system whose input x and output y are related by the equation
where h(t) is shown in the graph.
Which of the following four properties are possessed by the system?
BIBO: Bounded input gives a bounded output.
Causal: The system is causal.
LP: The system is low pass.
LTI: The system is linear and time-invariant.
where h(t) is shown in the graph.
Which of the following four properties are possessed by the system?
BIBO: Bounded input gives a bounded output.
Causal: The system is causal.
LP: The system is low pass.
LTI: The system is linear and time-invariant.
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Sep 15ESE & GATE EE
