1
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider a Binary Symmetric Channel (BSC) with probability of error being 'p'. To transit a bit, say 1, we transmit a sequence of three 1s. The receiver will interpret the received sequence to represent 1 if at least two bits are 1. The probability that the transmitted bit will be received in error is
A
$${p^3} + 3{p^2}\left( {1 - p} \right)$$
B
$${p^3}$$
C
$${\left( {1 - p} \right)^3}$$
D
$${p^3} + {p^2}\left( {1 - p} \right)$$
2
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
A memory less source emits n symbols each with a probability p. The entropy of the source as a function of n
A
increases as log n
B
decreases as log (1 / n)
C
increases as n
D
increases as n log n
3
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
A speech signal, band limited to 4kHz and peak voltage varying between +5V and -5V is sampled at the Nyquist rate. Each sample is quantized and represented by 8 bits.

The number of quantitization levels required to reduce the quantization noise by a factor of 4 would be

A
1024
B
512
C
256
D
64
4
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
A speech signal, band limited to 4 kHz and peak voltage varying between + 5V and - 5V is sampled at the Nyquist rate. Each sample is quantized and represented by 8 bits.

Assuming the signal to be uniformly distributed between its peak values, the signal to noise ratio at the quantizer output is

A
16 dB
B
32 dB
C
48 dB
D
64 dB
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