GATE EE Signals and Systems PYQs & Answers — Page 2

Questions 11–20 of 59. Imported answers require independent review unless marked reviewed.

Topic practice 59 questionsPage 2 of 6

is the unit step function, then the region of convergence (ROC) of the Laplace transform of the signal

Your answerChoose one option.

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Let

be the Fourier transform of the signal

The value of the derivative of

is ______ (rounded off to 1 decimal place).

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The input

and the output

of a system are related as

The system is

Your answerChoose one option.

nonlinear.

linear and time-invariant.

linear but not time-invariant.

noncausal.

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Consider the discrete-time systems

and

defined as follows:

Which one of the following statements is true?

Your answerChoose one option.

and

are BIBO stable.

and

are not BIBO stable.

is BIBO stable but

is not BIBO stable.

is not BIBO stable but

is BIBO stable.

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If the Z-transform of a finite-duration discrete-time signal

, then the Z-transform of the signal

Your answerChoose one option.

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If the energy of a continuous-time signal

and the energy of the signal

, then

is _____ (rounded off to 1 decimal place).

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A continuous-time system that is initially at rest is described by

, where

is the input voltage and

is the output voltage. The impulse response of the system is

Your answerChoose one option.

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The Fourier transform

of the signal

is given by

Which one of the following statements is true?

Your answerChoose one option.

tends to be an impulse as

decreases as

increases.

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The Z-transform of a discrete signal

Which one of the following statements is true?

Your answerChoose one option.

Discrete-time Fourier transform of

converges if

Discrete-time Fourier transform of

converges if

Discrete-time Fourier transform of

converges if

is such that

is a left-sided sequence

Discrete-time Fourier transform of

converges if

is such that

is a right-sided sequence

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Which of the following statement(s) is/are true?

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

If an LTI system is causal, it is stable

A discrete time LTI system is causal if and only if its response to a step input

is 0 for

If a discrete time LTI system has an impulse response

of finite duration the system is stable

If the impulse response

for all

, then the LTI system is stable.

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GATE EE Signals and Systems PYQs

Question 16

Question 33

Question 37

Question 38

Question 39

Question 53

Question 17

Question 18

Question 19

Question 27