GATE ECE topic:communication-engineering PYQs & Answers — Page 9

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Questions 81–90 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 9 of 72

The Nyquist plot of a system is given in the figure below. Let

, and

be the positive frequencies at the points

, and

, respectively. Which one of the following statements is TRUE?

Diagram for Electronics and Communication Engineering question 16

Your answerChoose one option.

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

is the gain crossover frequency and

is the phase crossover frequency

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Consider the discrete-time system below with input

and output

. In the figure,

and

denote the impulse responses of LTI Subsystems 1 and 2, respectively. Also,

is the unit impulse, and

. Assuming

, the overall system (denoted by the dashed box) is _____.

Diagram for Electronics and Communication Engineering question 17

Your answerChoose one option.

linear and time invariant

linear and time variant

nonlinear and time invariant

nonlinear and time variant

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Consider a continuous-time, real-valued signal

whose Fourier transform

exists. Which one of the following statements is always TRUE?

Your answerChoose one option.

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Consider a part of an electrical network as shown below. Some node voltages, and the current flowing through the

resistor are as indicated. The voltage (in Volts) at node

is _____.

Diagram for Electronics and Communication Engineering question 19

Your answerChoose one option.

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Let

, and

be the currents flowing through the capacitor, inductor, and resistor, respectively, in the circuit given below. The AC admittances are given in Siemens (S). Which one of the following is TRUE?

Diagram for Electronics and Communication Engineering question 20

Your answerChoose one option.

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A simplified small-signal equivalent circuit of a BJT-based amplifier is given below. The small-signal voltage gain

(in V/V) is ________.

Diagram for Electronics and Communication Engineering question 21

Your answerChoose one option.

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The ideal BJT in the circuit given below is biased in the active region with a

of 100. If

is 10

A, then

(in Volts, rounded off to two decimal places) is ______ .

Diagram for Electronics and Communication Engineering question 22

Your answerChoose one option.

4.05

3.03

1.92

3.73

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A 3-input majority logic gate has inputs

, and

. The output

of the gate is logic ‘1’ if two or more of the inputs are logic ‘1’. The output

is logic ‘0’ if two or more of the inputs are logic ‘0’. Which one of the following options is a Boolean expression of the output

Your answerChoose one option.

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A full adder and an XOR gate are used to design a digital circuit with inputs X, Y, and Z, and output F, as shown below. The input Z is connected to the carry-in input of the full adder.

If the input Z is set to logic ‘1’, then the circuit functions as ______ with X and Y as inputs.

Diagram for Electronics and Communication Engineering question 24

Your answerChoose one option.

an adder

a subtractor

a multiplier

a binary to Gray code converter

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Consider the function

, defined as

Which of the following statements is/are correct?

(Here,

is the set of real numbers.)

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

has no global maximizer

has no global minimizer

is a local minimizer of

is a local maximizer of

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GATE ECE topic:communication-engineering PYQs

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25