1
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A continuous-time system is described by $$y\left( t \right) = {e^{ - |x\left( t \right)|}},$$ where $$y(t)$$ is the output and $$x(t)$$ is the input. $$y(t)$$ is bounded
A
only when $$x(t)$$ is bounded
B
only when $$x(t)$$ is non-negative
C
only for $$t \ge 0$$ if $$x(t)$$ is bounded for $$t \ge 0$$
D
even when $$x(t)$$ is not bounded
2
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A discrete real all pass system has a pole at $$z = 2\angle {30^ \circ };\,$$ it, therefore,
A
also has a pole at $$1/2\angle {30^ \circ }$$
B
has a constant phase response over the $$z$$-plane: $$\arg |H\left( z \right)| = const$$
C
is stable only if it is anticausal
D
has a constant phase response over the unit circle: $$\arg |H\left( {{e^{j\Omega }}} \right)| = const$$
3
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
$$y\left[ n \right]$$ denotes the output and $$x\left[ n \right]$$ denotes the input of a discrete-time system given by the difference equation $$y\left[ n \right] - 0.8y\left[ {n - 1} \right] = x\left[ n \right] + 1.25\,x\left[ {n + 1} \right].$$ Its right-sided impulse response is
A
causal
B
unbounded
C
periodic
D
non-negative
4
GATE EE 2004
MCQ (Single Correct Answer)
+2
-0.6
In the system shown in Fig. the input $$x\left( t \right) = \sin t.$$ In the steady-state, the response $$y(t)$$ will be GATE EE 2004 Signals and Systems - Linear Time Invariant Systems Question 24 English
A
$${1 \over {\sqrt 2 }}\,\sin \left( {t - {{45}^ \circ }} \right)$$
B
$${1 \over {\sqrt 2 }}\,\sin \left( {t + {{45}^ \circ }} \right)$$
C
$$\sin \left( {t - {{45}^ \circ }} \right)$$
D
$$\sin \left( {t + {{45}^ \circ }} \right)$$
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