1
GATE EE 2017 Set 2
+2
-0.6
The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is
A
1000 samples/s
B
1500 samples/s
C
2000 samples/s
D
3000 samples/s
2
GATE EE 2014 Set 3
+2
-0.6
A sinusoid x(t) of unknown frequency is sampled by an impulse train of period 20 ms. The resulting sample train is next applied to an ideal lowpass filter with a cutoff at 25 Hz. The filter output is seen to be a sinusoid of frequency 20 Hz. This means that x(t) has a frequency of
A
10 Hz
B
60 Hz
C
30 Hz
D
90 Hz
3
GATE EE 2014 Set 2
+2
-0.6
An input signal x(t) = 2 + 5sin(100$$\mathrm\pi$$t) is sampled with a sampling frequency of 400 Hz and applied to the system whose transfer function is represented by $$\frac{Y\left(z\right)}{X\left(z\right)}=\frac1N\left[\frac{1-z^{-N}}{1-z^{-1}}\right]$$\$ where, N represents the number of samples per cycle. The output y(n) of the system under steady state is
A
0
B
1
C
2
D
5
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