1
GATE ECE 2014 Set 3
Numerical
+2
-0
A binary random variable X takes the value of 1 with probability 1/3. X is input to a casade of 2 independent identical binary symmetric channels (BSCs) each with crossover probability 1/2. The output of BSCs are the random variables $${Y_1}$$ and $${Y_2}$$ as shown in the figure.


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2
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
3
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
Four messages band limited to W, W, 2 W and 3 W respectively are to be multiplexed using Time Division Multiplexing (TDM). The minimum bandwidth required for transmission of this TDM signal is
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
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