1
GATE ECE 2007
+2
-0.6
The z-transform X (z) f a sequence x$$\left[ n \right]$$ is given by = $${{0.5} \over {1 - 2{z^{ - 1}}}}$$ . It is given that the region of convergence of X$$\left[ z \right]$$ includes the unit circle. The value of x$$\left[ 0 \right]$$ is
A
-0.5
B
0
C
0.25
D
0.5
2
GATE ECE 1999
+2
-0.6
The z-transform of a signal is given by c(z)=$${1 \over 4}{{{z^{ - 1}}(1 - {z^{ - 4}})} \over {{{(1 - {z^{ - 1}})}^2}}}$$. Its final value is
A
1/4
B
zero
C
1.0
D
infinity
3
GATE ECE 1990
+2
-0.6
The Z-transform of the following real exponential sequence:
x(nT) = $${a^n}$$, nT $$\ge$$ 0
=0, nT<0, a> 0
gives us by
A
$${1 \over {1 - {z^{ - 1}}}}; \left| z \right| > 1$$
B
$${1 \over {1 - a{z^{ - 1}}}}; \left| z \right| > a$$
C
1 for all z
D
$${1 \over {1 - a{z^{ - 1}}}}; \left| z \right| < a$$
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Communications
Electromagnetics
General Aptitude
Engineering Mathematics
EXAM MAP
Joint Entrance Examination