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GATE 2020 || Signals & Systems || National Champion Test
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Question 1
The continuous time version of the unit impulse 
is defined by the pair of relations ______
is defined by the pair of relations ______ Question 2
The transfer function of a stable system is H(z)=
+
.Its impulse response will be
+.Its impulse response will be Question 3
Find the laplace transforms of given function 
?
? Question 4
A test function, 
can be defined as if 
can be defined as if 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 systems response to the input x[n] = u[n]| if the unit impulse response h[n] of a DT LTI system is h[n] = 
?
? Question 7
Find the laplace transform of given function 
?
? Question 8
The magnitude plot of the Fourier transform of the signal 
Question 9
Find whether the given signal y(t) = cos 3t x(t-T) is time variant or invariant?
Question 10
Determine the convolution of the two sequences:
Question 11
Given that 
and 
, then the laplace of the signal 
is
and , then the laplace of the signal is Question 12
The inverse laplace of 
; ROC: 
is
; ROC: is - 506 attempts
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Jul 21ESE & GATE EE
