1
GATE ECE 2006
+2
-0.6
A signal m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where $$g(t)\, = \,\,\sum\limits_{k = - \infty }^\infty {{{( - 10)}^k}\,\delta (t - 0.5x{{10}^{ - 4}}k)}$$
The resulting signal is then passed through an ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would be
A
$${\delta (t)}$$
B
m(t)
C
0
D
m(t) $${\delta (t)}$$
2
GATE ECE 2004
+2
-0.6
A 1 kHz sinusoidal signal is ideally sampled at 1500 samples /sec and the sampled signal is passed through an ideal low-pass filter with cut-off frequency 800 Hz. The output signal has the frequency
A
zero Hz
B
0.75 kHz
C
0.5 kHz
D
0.25 kHz
3
GATE ECE 2003
+2
-0.6
Let x(t) = $$\,2\cos (800\pi t) + \cos (1400\pi t)$$. x(t) is sampled with the rectangular pulse train shown in figure. The only spectral components (in KHz) present in the sampled signal in the frequency range 2.5 kHz to 3.5 kHz are
A
2.7, 3.4
B
3.3, 3.6
C
2.6, 2.7, 3.3, 3.4
D
2.7, 3.3
4
GATE ECE 2002
+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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Medical
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