GATE ECE topic:communication-engineering PYQs & Answers — Page 29

Questions 281–290 of 715. Imported answers require independent review unless marked reviewed.

Consider a closed-loop control system with unity negative feedback and

in the forward path, where the gain

. The complete Nyquist plot of the transfer function

is shown in the figure. Note that the Nyquist contour has been chosen to have the clockwise sense. Assume

has no poles on the closed right-half of the complex plane. The number of poles of the closed-loop transfer function in the closed right-half of the complex plane is ____________.

Diagram for Electronics and Communication Engineering question 21

Your answerChoose one option.

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The root-locus plot of a closed-loop system with unity negative feedback and transfer function

in the forward path is shown in the figure. Note that

is varied from 0 to

Select the transfer function

that results in the root-locus plot of the closed-loop system as shown in the figure.

Diagram for Electronics and Communication Engineering question 22

Your answerChoose one option.

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The frequency response

of a linear time-invariant system has magnitude as shown in the figure.

Statement I: The system is necessarily a pure delay system for inputs which are bandlimited to

Statement II: For any wide-sense stationary input process with power spectral density

, the output power spectral density

obeys

for

Which one of the following combinations is true?

Diagram for Electronics and Communication Engineering question 23

Your answerChoose one option.

Statement I is correct, Statement II is correct

Statement I is correct, Statement II is incorrect

Statement I is incorrect, Statement II is correct

Statement I is incorrect, Statement II is incorrect

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In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is

. The displacement current (in Amperes) through the capacitor is ________.

Your answerChoose one option.

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Consider the following partial differential equation (PDE)

where

and

are distinct positive real numbers. Select the combination(s) of values of the real parameters

and

such that

is a solution of the given PDE.

Your answerSelect all correct options. You can choose more than one.

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An ideal OPAMP circuit with a sinusoidal input is shown in the figure. The 3 dB frequency is the frequency at which the magnitude of the voltage gain decreases by 3 dB from the maximum value. Which of the options is/are correct?

Diagram for Electronics and Communication Engineering question 26

Your answerSelect all correct options. You can choose more than one.

The circuit is a low pass filter.

The circuit is a high pass filter.

The 3 dB frequency is 1000 rad/s.

The 3 dB frequency is

rad/s.

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Select the Boolean function(s) equivalent to

, where

and

are Boolean variables, and + denotes logical OR operation.

Your answerSelect all correct options. You can choose more than one.

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Select the correct statement(s) regarding CMOS implementation of NOT gates.

Your answerSelect all correct options. You can choose more than one.

Noise Margin High (

) is always equal to the Noise Margin Low (

), irrespective of the sizing of transistors.

Dynamic power consumption during switching is zero.

For a logical high input under steady state, the nMOSFET is in the linear regime of operation.

Mobility of electrons never influences the switching speed of the NOT gate.

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Let

denote the entropy of a discrete random variable

taking

possible distinct real values. Which of the following statements is/are necessarily true?

Your answerSelect all correct options. You can choose more than one.

bits

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Consider the following wave equation,

Which of the given options is/are solution(s) to the given wave equation?

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GATE ECE topic:communication-engineering PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30