GATE EE topic:signals-and-systems PYQs & Answers

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topic:signals-and-systems

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Questions 1–10 of 59. Imported answers require independent review unless marked reviewed.

Topic practice 59 questionsPage 1 of 6

Consider the infinite-length, discrete-time sequence

, where

is an integer. The region of convergence of its Z-transform

is given by:

(Note:

is a complex variable)

Your answerChoose one option.

{z such that $|z|<0.9

|z|>1/0.9$}

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Let

be any continuous-time periodic signal with period

. It is sampled uniformly with a sampling period

where

, resulting in the discrete sequence

, where

is an integer.

Which one of the following statements is correct about

Your answerChoose one option.

will always be periodic with period

for all values of

will always be periodic with period 1 for all values of

will never be periodic

will be periodic if and only if

is a rational number

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A time-limited waveform

is specified as follows:

A new waveform

is constructed from

as follows:

The sum of the coefficients of the third harmonics of the sine and cosine terms in the trigonometric Fourier series expansion of

What is the value of

Your answerChoose one option.

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Consider a discrete-time linear time-invariant (LTI) system

, where

where

is the discrete-time unit impulse function. For an input signal

, the output

Your answerChoose one option.

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Consider a continuous-time signal

where

is the continuous-time unit step function. Let

be the continuous-time unit impulse function. The value of

Your answerChoose one option.

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A continuous time periodic signal

. If

is the period of

, then

______ (round off to the nearest integer).

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Let continuous-time signals

and

Consider the convolution

. Then

Your answerChoose one option.

1.5

2.5

3.5

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The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system

. The output is observed to be the continuous-time unit step signal

. Which one of the following statements is true?

Your answerChoose one option.

Every bounded input signal applied to

results in a bounded output signal.

It is possible to find a bounded input signal which when applied to

results in an unbounded output signal.

On applying any input signal to

, the output signal is always bounded.

On applying any input signal to

, the output signal is always unbounded.

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An ideal low pass filter has frequency response given by

. Let

be its time domain representation. Then

_____ (round off to the nearest integer).

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Suppose signal

is obtained by the time-reversal of signal

, i.e.,

. Which one of the following options is always true for the convolution of

and $y(t)?

Your answerChoose one option.

It is an even signal.

It is an odd signal.

It is a causal signal.

It is an anti-causal signal.

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GATE EE topic:signals-and-systems PYQs

How to practice topic:signals-and-systems

Question 11

Question 12

Question 36

Question 20

Question 21

Question 30

Question 40

Question 42

Question 61

Question 15