1
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
The system under consideration is an RC low -pass filter (RC-LPF) with R = 1.0 $$k\Omega $$ and C = 1.0 $$\mu F$$.

Let $${t_g}$$ (f) be the group delay function of the given RC-LPF and $${f_2}$$ = 100 Hz. Then $${t_g}$$$${(f_2)}$$ in ms, is

A
0.717
B
7.17
C
71.7
D
4.505
2
GATE ECE 2002
MCQ (Single Correct Answer)
+2
-0.6
In Fig. m(t) = $$ = {{2\sin 2\pi t} \over t}$$, $$s(t) = \cos \,200\pi t\,\,andn(t) = {{\sin 199\pi t} \over t}$$.

The output y(t) will be

GATE ECE 2002 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 12 English
A
$${{\sin 2\pi \,t} \over t}$$
B
$${{\sin 2\pi \,t} \over t}\, + {{\sin \pi \,t} \over t}\cos \,3\pi t$$
C
$${{\sin 2\pi \,t} \over t}\, + {{\sin 0.5\,\pi \,t} \over t}\cos \,1.5\pi t$$
D
$${{\sin 2\pi \,t} \over t}\, + {{\sin \pi \,t} \over t}\,\cos \,0.75\pi t\,\,$$
3
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
A system has a phase response given by $$\phi \,(\omega )$$ where $$\omega $$ is the angular frequency. The phase delay and group delay at $$\omega $$ = $${\omega _0}$$ are respectively given by
A
$$ - {{\phi ({\omega _0})} \over {{\omega _0}}}, - {{d\phi (\omega )} \over {d\omega }}\left| {\omega = {\omega _0}} \right.$$
B
$$\phi ({\omega _0}), - {{{d^2}\phi (\omega )} \over {d{\omega ^2}}}\left| {\omega = {\omega _0}} \right.$$
C
$${{{\omega _0}} \over {\phi ({\omega _0})}}, - {{d\phi (\omega )} \over {d\omega }}\left| {\omega = {\omega _0}} \right.$$
D
$${\omega _0}\,\phi \,({\omega _0})\,,\,\int_{ - \infty }^{{\omega _0}} \phi (\lambda )\,d\,\lambda $$
4
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
The input to a matched filter is given by $$s(t) = \left\{ {\matrix{ {10\sin (2\pi \times {{10}^6}t),} & {0 < \left| t \right| < {{10}^{ - 4}}\sec } \cr 0 & {Otherwise} \cr } } \right.$$

The peak amplitude of the filter output is

A
10 Volts
B
5 Volts
C
10 millivolts
D
5 millivolts
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