1
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The complex envelope of the bandpass signal $$x(t) = - \sqrt 2 \left( {{{\sin \,(\pi t/5)} \over {\pi t/5}}} \right)\,\sin \,\left( {\pi t - {\pi \over 5}} \right)$$, centered about $$\,f = {1 \over 2}\,\,Hz$$, is
A
$$\left( {{{\sin \,(\pi t/5)} \over {\pi t/5}}} \right)\,{e^{j{\pi \over 4}}}$$
B
$$\left( {{{\sin \,(\pi t/5)} \over {\pi t/5}}} \right)\,{e^{-j{\pi \over 4}}}$$
C
$$\sqrt 2 \left( {{{\sin \,(\pi t/5)} \over {\pi t/5}}} \right)\,{e^{j{\pi \over 4}}}$$
D
$$\sqrt 2 \left( {{{\sin \,(\pi t/5)} \over {\pi t/5}}} \right)\,{e^{-j{\pi \over 4}}}$$
2
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
An LTI system having transfer function $${{{s^2} + 1} \over {{s^2} + 2s + 1}}$$ and input x(t) = sin (t + 1) is in steady state. The output is sampled at a rate $${\omega _s}\,\,rad/s$$ to obtain the final output {y(k)}. Which of the following is true?
A
y(.) is zero for all sampling frequencies $${\omega _s}$$
B
y(.) is nonzero for all sampling frequencies $${\omega _s}$$
C
y(.) is nonzero for $${\omega _s}$$ > 2, but zero for $${\omega _s}$$ < 2
D
y(.) is zero for $${\omega _s}$$ > 2, but nonzero for $${\omega _s}$$ < 2
3
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
A Hilbert transformer is a
A
non-linear system
B
non-causal system
C
time-varying system
D
low-pass system
4
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
In the following scheme, if the spectrum M(f) of m(t) is as shown, then the spectrum Y(f) of y(t) will be:
A
B
C
D
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