1
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
The output y(t) of a linear time invariant system is related to its input x(t) by the following equation: y(t) = 0.5 x $$(t - {t_d} + T) + \,x\,(t - {t_d}) + 0.5\,x(t - {t_d} - T)$$. The filter transfer function $$H(\omega )$$ of such a system is given by
A
$$(1 + \cos \omega T){e^{ - j\omega {t_d}}}$$
B
$$(1 + 0.5\cos \omega T){e^{ - j\omega {t_d}}}$$
C
$$(1 + \cos \omega T){e^{j\omega {t_d}}}$$
D
$$(1 - 0.5\cos \omega T){e^{ - j\omega {t_d}}}$$
2
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A system described by the differential equation: $${{{d^2}y} \over {d{t^2}}} + 3{{dy} \over {dt}} + 2y = x(t)$$ is initially at rest. For input x(t) = 2u(t), the output y(t) is
A
$$(1 - 2{e^{ - t}} + {e^{ - 2t}})\,u(t)$$
B
$$(1 + 2{e^{ - t}} - 2\,{e^{ - 2t}})\,u(t)$$
C
$$(0.5 + {e^{ - t}} + 1.5\,{e^{ - 2t}})\,u(t)$$
D
$$(0.5 + 2{e^{ - t}} + 2\,\,{e^{ - 2t}})\,u(t)$$
3
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A rectangular pulse train s(t) as shown in Fig.1 is convolved with the signal $${\cos ^2}$$ ($$4\pi \,{10^{3\,}}$$t). The convolved signal will be a GATE ECE 2004 Signals and Systems - Continuous Time Linear Invariant System Question 26 English
A
DC
B
12 kHz sinusoid
C
8 kHz sinusoid
D
14 kHz sinusoid
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A causal system having the transfer function H(s) = $${1 \over {s + 2}}$$, is excited with 10 u(t). The time at which the output reaches 99% of its steady state value is
A
2.7 sec
B
2.5 sec
C
2.3 sec
D
2.1 sec
GATE ECE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12