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GATE 2019: Signal & System Quiz 8 (App update required to attempt this test)
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Question 1
Z-Transform of a signal 
is given as 
. The Z-Transform of 
is given as 
, then find the value of 
.
is given as . The Z-Transform of is given as , then find the value of .Question 2
A discrete-time signal
has z-transform X(z). If Y(z) = X(-z) is the z-transform of another signal y[n], then
has z-transform X(z). If Y(z) = X(-z) is the z-transform of another signal y[n], then
Question 3
The ROC (region of convergence) of the z-transform of a discrete-time signal is represented by the shaded region in the z-plane. If the signal
then the ROC of its z-transform
is represented by
then the ROC of its z-transform is represented by
Question 4
The number of possible regions of convergence of the function 
is _________.
is _________. Question 5
The Region of convergence of z – transform of a signal
is
is Question 6
A sequence x[n] with z-transform 
is given as input to a system whose impulse response is given as 
Then the output at n = 2 is
is given as input to a system whose impulse response is given as Then the output at n = 2 is
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Feb 28ESE & GATE EC
