1
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
$${(z - 1)^2}/z$$
2
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The transfer function of a zero - order - hold system is
A
$$\left( {1/s} \right)\left( {1 + {e^{ - sT}}} \right)$$v
B
$$\left( {1/s} \right)\left( {1 - {e^{ - sT}}} \right)$$
C
$$1 - \left( {1/s} \right){e^{ - sT}}$$
D
$$1 + \left( {1/s} \right){e^{ - sT}}$$
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
The unit impulse response of a linear time invariant system is the unit step function u(t). For t>0, the response of the system to an excitation e-at u(t), a>0 will be
A
a e-at
B
(1/a) (1 - e-at)
C
a(1 - e-at)
D
1 - e-at)
4
GATE ECE 1998
Subjective
+5
-0
Consider a rectangular pulse g(t) existing between $$t = \, - {T \over 2}\,and\,{T \over 2}$$. Find and sketch the pulse obtained by convolving g(t) with itself. The Fourier transform of g(t) is a sinc function. Write down the Fourier transform of the pulse obtained by the above convolution.
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