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GATE 2019: EC Revision Test-1 (App update required to attempt this test)
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Question 1
The DTFT of (3/4)n u[n -4] is
Question 2
The bilateral Laplace transform of 
Question 3
X[k] is the 6-point DFT of x[n]={3,2,1,0,0,3} and 
where Y[k] is the 6-point DFT of y[n] and 
. Then y[n] ?
where Y[k] is the 6-point DFT of y[n] and . Then y[n] ? Question 4
Consider the two port network given below
For the given network admittance parameter Y12 is ______ mƱ.
For the given network admittance parameter Y12 is ______ mƱ.
Question 5
In the figure shown, the current i (in ampere) is ______.
Question 6
Consider a discrete time system with unit sample response
The difference equation of the system with input
and output 
is
The difference equation of the system with input
and output is Question 7
Consider an LTI system with magnitude response
And phase response
If the input to the system is
Then the average power of the output signal y (t) is _____.
And phase response
If the input to the system is
Then the average power of the output signal y (t) is _____.
Question 8
We have n
and 
then 
is
and then is Question 9
Find the z-transform and ROC of 
Question 10
Consider the system given by y(n) = x(n)sin[ x(n)]
Question 11
Consider the initially relaxed network shown in the figure below
If switch is closed at t = 0 then
is_____A/s2.
If switch is closed at t = 0 then
is_____A/s2.Question 12
In the figure shown below
1 μF and R = 10 kΩ, then the % tilt obtained at the output wave is ______ %.
1 μF and R = 10 kΩ, then the % tilt obtained at the output wave is ______ %.
Question 13
Consider the network shown in figure, find i(t) for t > 0.
Question 14
Consider the circuit in figure,
The current
through 
for 
sec is
The current
through for sec is Question 15
Consider the two-port network given below
Y parameter Y11in ‘s’ domain for the network is
Y parameter Y11in ‘s’ domain for the network is
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