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GATE 2019: Communication Live Practice Quiz (App update required to attempt this test)

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Question 1

Given below is spectrum of AM signal find the power efficiency of AM signal given carrier signal frequency is 200 rad/sec.

The efficiency of AM is __________

Question 2

Periodic signal shown below angle modulates a very high frequency carrier (sinusoidal). The modulated signal is given as X(t) = Ac cos[2π × 106t + Kp m(t)] and m(t) is given as :

The frequency deviation from maximum to minimum is 20 KHz.  The value of Kp in the above expression is

Question 3

Given below is figure of Indirect FM transmitter. Find the maximum frequency duration Δf and carrier frequency fc at the output of transmitter.

Given f1 = 200 KHz,     fLO = 10.8 MHz,

Δ f1 = 25 Hz,     n1 = 64 and n2 = 48,   fLO < f2

Question 4

For a LTI system shown below

The input random process X(τ) is RX(τ) = , given ; , β are constant, u(τ) is unit step function. The PSD of output process y(t),  will be

Question 5

for the system shown in figure :

The input x(t) has mean of 1, the output mean of the system will be ______.

Question 6

Consider a signal having pdf as

The signal is quantized to 256 levels the SNqR (signal to quantization noise) by sampled signal is ______ dB

Question 7

Two independent random variables X and Y have PDF as

And given that z = 2x + y,

Find the probability that z > 2

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Oct 20ESE & GATE EC