1
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
An input x(t) = exp( -2t) u(t) + $$\delta $$(t-6) is applied to an LTI system with impulse response h(t) = u(t). The output is
A
[ 1- exp( -2t)] u(t) + u(t+6)
B
[ 1- exp( -2t)] u(t) + u(t-6)
C
0.5 [1 - exp( -2t)] u(t) + u(t+6)
D
0.5 [1- exp( -2t)] u(t) + u(t-6)
2
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
A system is defined by its impulse response $$h\left( n \right) = {2^n}\,u\left( {n - 2} \right).$$ The system is
A
stable and causal.
B
causal but not stable.
C
stable but not causal.
D
unstable and non causal.
3
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
Two system $${H_1}\left( z \right)$$ and $${H_2}\left( z \right)$$ are connected in cascade as shown below. The overall output $$y\left( n \right)$$ is the same as the input $$x\left( n \right)$$ with a one unit delay. The transfer function of the second system $${H_2}\left( z \right)$$ is GATE ECE 2011 Signals and Systems - Discrete Time Linear Time Invariant Systems Question 10 English
A
$${{\left( {1 - 0.6\,{z^{ - 1}}} \right)} \over {{z^{ - 1}}\left( {1 - 0.4\,{z^{ - 1}}} \right)}}\,$$
B
$${{{z^{ - 1}}\left( {1 - 0.6\,{z^{ - 1}}} \right)} \over {\left( {1 - 0.4\,{z^{ - 1}}} \right)}}$$
C
$${{{z^{ - 1}}\left( {1 - 0.4\,{z^{ - 1}}} \right)} \over {\left( {1 - 0.6\,{z^{ - 1}}} \right)}}$$
D
$${{\left( {1 - 0.4\,{z^{ - 1}}} \right)} \over {{z^{ - 1}}\left( {1 - 0.6\,{z^{ - 1}}} \right)}}$$
4
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
Choose the word from the options given below that is most nearly opposite in meaning to the given word:

Frequency

A
periodicity
B
rarity
C
gradualness
D
persistency
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