1
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
Consider a sampled signal $$y\left( t \right) = 5 \times {10^{ - 6}}\,x\left( t \right)\,\,\sum\limits_{n = - \infty }^{ + \infty } {\delta \left( {t - n{T_s}} \right)} $$

where $$x\left( t \right) = 10\,\,\cos \,\left( {8\pi \times {{10}^3}} \right)\,\,t$$ and
$${T_s} = 100\,\,\mu \sec .$$ When $$y\left( t \right)$$ is passed through an ideal low-pass filter with a cutoff frequency of 5 KHz, the output of the filter is

A
$$5 \times {10^{ - 6}}\,\,\cos \,\left( {8\pi \times {{10}^3}} \right)\,\,t$$
B
$$5 \times {10^{ - 5}}\,\,\cos \,\left( {8\pi \times {{10}^3}} \right)\,\,t$$
C
$$5 \times {10^{ - 1}}\,\,\cos \,\left( {8\pi \times {{10}^3}} \right)\,\,t$$
D
$$10\cos \,\left( {8\pi \times {{10}^3}} \right)\,\,t$$
2
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
A band limited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through
A
an RC filter
B
an envelope detector
C
a PLL
D
an ideal low-pass filter with the appropriate bandwidth
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
Flat top sampling of low pass signals
A
gives rise to aperture effects
B
implies over sampling
C
leads to aliasing
D
introduces delay distortion
4
GATE ECE 1995
MCQ (Single Correct Answer)
+1
-0.3
A 1.0 kHz signal is flat - top sampled at the rate of 1800 samples/sec and the samples are applied to an ideal rectangular LPF with cut - off frequency of 1100 Hz, then the output of the filter contains
A
only 800 Hz component.
B
800 Hz and 900 Hz components.
C
800 Hz and 1000 Hz components.
D
800 Hz, 900 Hz and 1000 Hz components.
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