GATE ECE format:nat PYQs & Answers — Page 13

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Questions 121–130 of 239. Imported answers require independent review unless marked reviewed.

Topic practice 239 questionsPage 13 of 24

For a 2-port network consisting of an ideal lossless transformer, the parameter s₂₁ (rounded off to two decimal places) for a reference impedance of 10 Ω, is ______.

Diagram for Electronics and Communication Engineering question 46

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S_PM(t) and S_FM(t) as defined below, are the phase modulated and the frequency modulated waveforms, respectively, corresponding to the message signal m(t) shown in the figure.

and

where K_p is the phase deviation constant in radians/volt and K_f is the frequency deviation constant in radians/second/volt. If the highest instantaneous frequencies of S_PM(t) and S_FM(t) are same, then the value of the ratio K_p/K_f is ______ seconds.

Diagram for Electronics and Communication Engineering question 47

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In a digital communication system, a symbol S randomly chosen from the set {s₁, s₂, s₃, s₄} is transmitted. It is given that s₁ = −3, s₂ = −1, s₃ = +1 and s₄ = +2. The received symbol is Y = S + W. W is a zero-mean unit-variance Gaussian random variable and is independent of S. P_i is the conditional probability of symbol error for the maximum likelihood (ML) decoding when the transmitted symbol S = s_i. The index i for which the conditional symbol error probability P_i is the highest is ______.

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A system with transfer function

is subjected to an input 5 cos 3t. The steady state output of the system is

The value of a is ______.

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For the components in the sequential circuit shown below,

is the propagation delay,

is the setup time, and

is the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is ____ MHz.

Diagram for Electronics and Communication Engineering question 50

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For the solid

shown below, the value of

(rounded off to two decimal places) is __________ .

Diagram for Electronics and Communication Engineering question 51

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is the Fourier transform of

shown below. The value of

(rounded off to two decimal places) is __________ .

Diagram for Electronics and Communication Engineering question 52

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The transfer function of a stable discrete-time LTI system is

, where

and

are real numbers. The value of

(rounded off to one decimal place) with

, for which the magnitude response of the system is constant over all frequencies, is __________ .

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is a random variable with uniform probability density function in the interval

. For

, the conditional probability

(rounded off to three decimal places) is __________ .

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Consider the following closed loop control system

Diagram for Electronics and Communication Engineering question 55

where

and

. If the steady state error for a unit ramp input is 0.1, then the value of

is __________.

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GATE ECE format:nat PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55