GATE IN Signals and Systems PYQs & Answers — Page 4

Questions 31–40 of 62. Imported answers require independent review unless marked reviewed.

Topic practice 62 questionsPage 4 of 7

The input-output relationship of an LTI system is given below.

Diagram for Instrumentation Engineering question 4

For an input

shown below

Diagram for Instrumentation Engineering question 4 (figure 2)

, the peak value of the output when

passes through

is _____.

Your answerChoose one option.

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Let

denote the unit step function. The bilateral Laplace transform of the function

is _____.

Your answerChoose one option.

with real part of

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The signal

Your answerChoose one option.

periodic with period

not periodic

periodic with period

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Given

, where * denotes convolution operation. The value of

is ____________ (rounded off to two decimal places).

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The input signal shown below is passed through the filter with the following taps.

Diagram for Instrumentation Engineering question 44

The number of non-zero output samples is _____.

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A differentiator has a transfer function whose phase increases linearly with frequency

Your answerChoose one option.

magnitude remains constant

magnitude increases linearly with frequency

magnitude decreases linearly with frequency

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Consider the Signal

, where

. The period of this signal

is ____.

Your answerChoose one option.

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Consider the signal

. Let

be the Fourier transform of

. The value of

is ____.

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Let

and

. Consider

, where

denotes the convolution operator. The value of

is ____

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Consider the finite sequence

. The Inverse Discrete Fourier Transform (IDFT) of

is given as

. The value of

is ____

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GATE IN Signals and Systems PYQs

Question 4

Question 6

Question 8

Question 43

Question 44

Question 5

Question 13

Question 19

Question 35

Question 48