1
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
A linear phase channel with phase delay $${\tau _p}$$ and group delay $${\tau _g}$$ must have
A
$$\,{\tau _p} = {\tau _g} = $$ constant
B
$${\tau _p}\infty \,\,f\,and\,{\tau _g}\infty \,f$$
C
$${\tau _p}$$ = constant and $${\tau _g}\infty \,f$$
D
$${\tau _p}\infty \,f\,and\,\,{\tau _g}$$ =constant ($$f$$denotes frequency)
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 11 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 2002
MCQ (Single Correct Answer)
+2
-0.6
A signal x(t) = 100 cos $$(24\pi \times {10^3})$$ t is ideally sampled with a sampling period of 50 $$\mu \sec $$ and then passed through an ideal low pass filter with cutoff frequency of 15 KHz. Which of the following frequencies is/ are present at the filter output?
A
12 KHz only
B
8 KHz only
C
12 KHz and 9 KHz
D
12 KHz and 8 KHz
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