1
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
The z transform of a system is
H(z) = $${z \over {z - 0.2}}$$ .
If the ROC is $$\left| {z\,} \right|$$ < 0.2, then the impulse response of the system is
A
$${(0.2)^n}\,u\left[ n \right]$$
B
$${(0.2)^n}\,u\left[ { - n - 1} \right]$$
C
$$ - {(0.2)^n}\,u\left[ n \right]$$
D
$$ - {(0.2)^n}\,u\left[ { - n - 1} \right]$$
2
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
The region of convergence of the z- transform of a unit step function is
A
$$\left| {z\,} \right| > 1$$
B
$$\left| {z\,} \right| < 1$$
C
(Real part of z )> 0
D
(Real part of z )< 0
3
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
The z-transform F(z) of the function f(nT) = $${a^{nT}}$$ is
A
$${z \over {z - {a^T}}}$$
B
$${z \over {z + {a^T}}}$$
C
$${z \over {z - {a^{ - T}}}}$$
D
$${z \over {z + {a^{ - T}}}}$$
4
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The z - transform of the time function $$\sum\limits_{k = 0}^\infty {\delta \left( {n - k} \right)} $$ is
A
$$(z - 1)/z$$
B
$$z/{(z - 1)^2}$$
C
$$z/(z - 1)$$
D
$${(z - 1)^2}/z$$
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