You can prepare effectively for Electronics and Communication Engineering (ECE) GATE ECE (Electronics) Mock Test Series 2027 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Digital Communications - 1". These 15 questions have been designed by the experts with the latest curriculum of Electronics and Communication Engineering (ECE) 2026, to help you master the concept.
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Detailed Solution: Question 1
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: Question 2
Consider a random process x(t). Which of the following can represent Rx. (r)?
Detailed Solution: Question 3
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: Question 4
SNR when the system is uncoded is 4 dB, when it is coded is 2 dB then the coding gain is ________________ (dB)
Detailed Solution: Question 5
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: Question 6
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: Question 7
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: Question 8
Probability of picking 3 symbols are P0, P1 and P2 respectively. The maximum entropy is achieved, when P0, P1, P2 are
Detailed Solution: Question 9
Hartley's law can be defined as r = 2 Blog2 M . When compared to Shannon Hartley theorem, C, M are
Detailed Solution: Question 10
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: Question 11
A stationary random process x(t) has the following correlation function is constant) . Find the psd of random signal x(t).
Detailed Solution: Question 12
If random variable 'x' has Gaussian pdf with mean M, then y=2x has PDF andmean respectively
Detailed Solution: Question 13
If x has P.S.D Sxx (f), then y has P.S.D of ( Assume H(f) is the Fourier Transform
Detailed Solution: Question 14
A Gaussian random variable 'x' has mean 1 and variance√2. If y = x2, then the mean of y is
Detailed Solution: Question 15
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