1
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
The region of convergence of z-transform of the sequence $${\left( {{5 \over 6}} \right)^n}u(n) - {\left( {{6 \over 5}} \right)^n}u( - n - 1)$$ must be
A
$$\left| {z\,} \right| < {5 \over 6}$$
B
$$\left| {z\,} \right| > {6 \over 5}$$
C
$${5 \over 6} < \left| {z\,} \right| < {6 \over 5}$$
D
$${6 \over 5} < \left| {z\,} \right| < \infty$$
2
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
$$- {(0.2)^n}\,u\left[ { - n - 1} \right]$$
3
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
4
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
$${z \over {z + {a^{ - T}}}}$$
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