1
GATE ECE 2004
+2
-0.6
Consider a binary digital communication system with equally likely $$0’s$$ and $$1’s$$. When binary $$0$$ is transmitted the voltage at the detector input can lie between the levels $$-0.25V$$ and $$+0.25V$$ with equal probability when binary $$1$$ is transmitted, the voltage at the detector can have any value between $$0$$and $$1 V$$ with equal probability. If the detector has a threshold of $$2.0V$$ (i.e., if the received signal is greater than $$0.2 V$$, the bit is taken as $$1$$), the average bit error probability is
A
$$0.15$$
B
$$0.2$$
C
$$0.05$$
D
$$0.5$$
2
GATE ECE 2003
+2
-0.6
If Eb, the energy per bit of a binary digital signal, is 10-5 watt-sec and the one-sided power spectral density of the white noise, N0 = 10-6 W/Hz, then the output SNR of the matched filter is
A
26 dB
B
10 dB
C
20 dB
D
13 dB
3
GATE ECE 2003
+2
-0.6
A sinusoidal signal with peak-to-peak amplitude of 1.536V is quantized into 128 levels using a mid-rise uniform quantizer. The quantization-noise power is
A
$$0.768$$
B
$$48 \times {10^{ - 6}}{V^2}$$
C
$$12 \times {10^{ - 6}}{V^2}$$
D
$$3.072 V$$
4
GATE ECE 2001
+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
$${\left( {1 - p} \right)^n} + np{\left( {1 - p} \right)^{n - 1}}$$
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