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GATE ECE 2014 Set 3
Numerical
+2
-0
Let $${X_1},\,{X_2},$$ and $${X_3}$$ be independent and identically distributed random variables with the uniform distribution on $$\left[ {0,\,1} \right]$$. The probability $$P\left\{ {{X_1} + {X_2} \le {X_3}} \right\}$$ is ___________ .
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2
GATE ECE 2014 Set 3
Numerical
+2
-0
In a PCA system, the signal $$m(t) = \{ \sin (100\,\pi \,t)\, + \cos (100\,\pi \,t\} $$ V is sampled at the Nyquist rate. The samples are processed by a uniform quantizer with step size 0.75 V. The minimum data rate of the PCM system in bits per second is________________
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3
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. GATE ECE 2014 Set 3 Communications - Digital Communication Systems Question 14 English
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4
GATE ECE 2014 Set 3
Numerical
+2
-0
The steady state error of the system shown in the figure for a unit step input is _______. GATE ECE 2014 Set 3 Control Systems - Time Response Analysis Question 34 English
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