1

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 ___________ .

Your input ____

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________________

Your input ____

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.

Your input ____

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 _______.

Your input ____

Paper analysis

Total Questions

Analog Circuits

5

Communications

6

Control Systems

5

Digital Circuits

5

Electromagnetics

5

Electronic Devices and VLSI

6

Engineering Mathematics

9

Network Theory

6

Signals and Systems

8

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