Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Tests  >  GATE ECE (Electronics) Mock Test Series 2025  >  Test: Digital Communications - 1 - Electronics and Communication Engineering (ECE) MCQ

Test: Digital Communications - 1 - Electronics and Communication Engineering (ECE) MCQ


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15 Questions MCQ Test GATE ECE (Electronics) Mock Test Series 2025 - Test: Digital Communications - 1

Test: Digital Communications - 1 for Electronics and Communication Engineering (ECE) 2024 is part of GATE ECE (Electronics) Mock Test Series 2025 preparation. The Test: Digital Communications - 1 questions and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus.The Test: Digital Communications - 1 MCQs are made for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Digital Communications - 1 below.
Solutions of Test: Digital Communications - 1 questions in English are available as part of our GATE ECE (Electronics) Mock Test Series 2025 for Electronics and Communication Engineering (ECE) & Test: Digital Communications - 1 solutions in Hindi for GATE ECE (Electronics) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free. Attempt Test: Digital Communications - 1 | 15 questions in 45 minutes | Mock test for Electronics and Communication Engineering (ECE) preparation | Free important questions MCQ to study GATE ECE (Electronics) Mock Test Series 2025 for Electronics and Communication Engineering (ECE) Exam | Download free PDF with solutions
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Test: Digital Communications - 1 - Question 1

has P.S.D. Sxx f then y has P.S.D

Detailed Solution for Test: Digital Communications - 1 - Question 1

Test: Digital Communications - 1 - Question 2

Consider Y= ax+b, a>0. If the density and distribution functions of x are F. (x) and fx (x), then Fy (y) is equal to

Detailed Solution for Test: Digital Communications - 1 - Question 2

Test: Digital Communications - 1 - Question 3

Consider a random process x(t). Which of the following can represent Rx. (r)?

Detailed Solution for Test: Digital Communications - 1 - Question 3

*Answer can only contain numeric values
Test: Digital Communications - 1 - Question 4

It is required to transmit at 100 Kbit/s and a bandwidth of 2 MHz is used. The

minimum S/N ratio is ___________________


Detailed Solution for Test: Digital Communications - 1 - Question 4

*Answer can only contain numeric values
Test: Digital Communications - 1 - Question 5

SNR when the system is uncoded is 4 dB, when it is coded is 2 dB then the coding gain is ________________  (dB)


Detailed Solution for Test: Digital Communications - 1 - Question 5

Coding gain =  SNR encoded - SNR. coded = 4.dB-2dB = 2dB

Test: Digital Communications - 1 - Question 6

In the set up shown below, determine the number of bits required to encode each sample of x (t) such that bandwidth of signal y(t) is greater than 5 MHz.


Detailed Solution for Test: Digital Communications - 1 - Question 6

Nyquist sampler is a sampler that samples a given signal at a rate twice the highest frequencies

fs = 2 fm, f5 = 2 x 350 kHz = 0.7MHz

Band width of output of PCM =



 

Test: Digital Communications - 1 - Question 7

A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?

Detailed Solution for Test: Digital Communications - 1 - Question 7

2A = 6V ⇒ A = 3V

In order to overcome slope over load distortion in delta modulator

Test: Digital Communications - 1 - Question 8

The probability of the five possible outcomes of an experiment are given as

Determine the informationrate, if there are 8 outcomes per second.

Detailed Solution for Test: Digital Communications - 1 - Question 8



= 1.875 bits / sec; r=8 outcomes/sec
Information rate R=r.

=15bits / sec

 

Test: Digital Communications - 1 - Question 9

Probability of picking 3 symbols are P0, P1 and P2 respectively. The maximum entropy is achieved, when P0, P1, P2 are

Detailed Solution for Test: Digital Communications - 1 - Question 9

PO =P1 =P2 =P; PO + P1 + P2 = 1; 3P=1 ⇒ P= 1/3

Test: Digital Communications - 1 - Question 10

Hartley's law can be defined as r = 2 Blog2 M . When compared to Shannon Hartley theorem, C, M are

Detailed Solution for Test: Digital Communications - 1 - Question 10

Comparing C=B log ; r = C;

Test: Digital Communications - 1 - Question 11

The probability of a bit decoded correctly at receiver is `p'. If n bits are sent, what is the probability that one bit is decoded correctly?

Detailed Solution for Test: Digital Communications - 1 - Question 11

correct : p; error: 1-p

out of n bits, only one bit is decoded correctly=

Test: Digital Communications - 1 - Question 12

A stationary random process x(t) has the following correlation function is constant) . Find the psd of random signal x(t).

Detailed Solution for Test: Digital Communications - 1 - Question 12

PSD of input is expressed as




 

Test: Digital Communications - 1 - Question 13

If random variable 'x' has Gaussian pdf with mean M, then y=2x has PDF andmean respectively

Detailed Solution for Test: Digital Communications - 1 - Question 13

so y has pdf N(2m,402) which is Gaussian

Test: Digital Communications - 1 - Question 14

If x has P.S.D Sxx (f), then y has P.S.D of ( Assume H(f) is the Fourier Transform

Detailed Solution for Test: Digital Communications - 1 - Question 14

Test: Digital Communications - 1 - Question 15

 A Gaussian random variable 'x' has mean 1 and variance√2. If y = x2, then the mean of y is

Detailed Solution for Test: Digital Communications - 1 - Question 15

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