1
GATE ECE 1990
MCQ (Single Correct Answer)
+2
-0.6
The response of an initially relaxed linear constant parameter network to a unit impulse applied at $$t = 0$$ is $$4{e^{ - 2t}}u\left( t \right).$$ The response of this network to a unit step function will be:
A
$$2\left[ {1 - {e^{ - 2t}}} \right]u\left( t \right)$$
B
$$4\left[ {{e^{ - t}} - {e^{ - 2t}}} \right]u\left( t \right)$$
C
$$\sin 2t$$
D
$$\left( {1 - 4{e^{ - 4t}}} \right)u\left( t \right)$$
2
GATE ECE 1990
MCQ (Single Correct Answer)
+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
$${1 \over {1 - a{z^{ - 1}}}}; \left| z \right| < a$$
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