1
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
2
GATE ECE 2001
MCQ (Single Correct Answer)
+2
-0.6
During transmission over a communication channel, bit errors occur independently with probability 'p'. If a block of n bits is transmitted, the probability of at most one bit error is equal to
A
$$1 - {\left( {1 - p} \right)^n}$$
B
$$p + \left( {n - 1} \right)\left( {1 - p} \right)$$
C
$$np - {\left( {1 - p} \right)^{n - 1}}$$
D
$${\left( {1 - p} \right)^n} + np{\left( {1 - p} \right)^{n - 1}}$$
3
GATE ECE 2001
MCQ (Single Correct Answer)
+2
-0.6
A video transmission system transmits 625 picture frames per second. Each frame consists of a $$400\,\, \times \,\,400$$ pixel grid with 64 intensity levels per pixel. The data rate of the system is
A
16 Mbps
B
100 Mbps
C
600 Mbps
D
6.4 Gbps
4
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
The PDF of a Gaussian random variable X is given by $${p_x}(x) = \,{1 \over {3\sqrt {2\pi } }}\,\exp \,[ - \,{(x - 4)^2}/18]$$.

The probability of the event {X = 4} is

A
1/2
B
$$1/\left( {3\sqrt {2\,\pi } } \right)$$
C
0
D
1/4
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