1
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
The first six points of the 8-point DFT of a real valued sequence are 5, 1 - j3, 0, 3- j4, 0 and 3+ j4. The last two points of the DFT are respectively
A
0, 1- j3
B
0, 1+ j3
C
1+j3, 5
D
1 – j3, 5
2
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
The differential equation $$100{{{d^2}y} \over {dt}} - 20{{dy} \over {dt}} + y = x\left( t \right)$$ describes a system with an input x(t) and output y(t). The system, which is initially relaxed, is excited by a unit step input. The output y(t) can be represented by the waveform
A
GATE ECE 2011 Signals and Systems - Continuous Time Linear Invariant System Question 40 English Option 1
B
GATE ECE 2011 Signals and Systems - Continuous Time Linear Invariant System Question 40 English Option 2
C
GATE ECE 2011 Signals and Systems - Continuous Time Linear Invariant System Question 40 English Option 3
D
GATE ECE 2011 Signals and Systems - Continuous Time Linear Invariant System Question 40 English Option 4
3
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)
4
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.
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