GATE IN Signals and Systems PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 62. Imported answers require independent review unless marked reviewed.

Topic practice 62 questionsPage 1 of 7

A square wave signal of frequency 20 kHz is passed through an ideal low-pass filter with cut-off frequency of 21 kHz. The output signal is a ______.

Your answerChoose one option.

20 kHz sine wave

20 kHz square wave

20 kHz triangular wave

20 kHz saw-tooth wave

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Given

, where t is in seconds.

The fundamental period of

is ____ seconds.

Your answerChoose one option.

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A signal

is shown below. The plot of

is shown in _____.

Diagram for Instrumentation Engineering question 41

Your answerChoose one option.

Diagram for Instrumentation Engineering question 41 (figure 2)

Diagram for Instrumentation Engineering question 41 (figure 3)

Diagram for Instrumentation Engineering question 41 (figure 4)

Diagram for Instrumentation Engineering question 41 (figure 5)

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In the table shown below, List-I are the system responses to input

and List-II are the system properties. The correct matching is ____.

List-I (M)

(N)

(O)

(P)

List-II (I) Linear and Time-invariant (II) Non-linear and Time-varying (III) Linear and Time-varying (IV) Non-linear and Time-invariant

Your answerChoose one option.

M-IV, N-II, O-II, P-I

M-II, N-I, O-IV, P-III

M-III, N-IV, O-II, P-I

M-I, N-IV, O-III, P-II

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Given two signals:

, and

, then

is _____.

Your answerChoose one option.

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Let a continuous-time signal be

, where

and

is in seconds. The fundamental period of magnitude of

, in seconds, is

Your answerChoose one option.

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Let

, where

and real, represent a difference equation of a causal discrete-time linear time invariant system. The system is initially at rest. If

where

, the value of

Your answerChoose one option.

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Let

and

represent continuous-time real-valued signals. If

denotes cross-correlation between

and

, its continuous-time Fourier transform

equals

Note:

and

denote the continuous-time Fourier transforms of

and

, respectively.

Your answerChoose one option.

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Choose the eigenfunction(s) of stable linear time-invariant continuous-time systems from the following options.

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

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Let

represent the discrete time Fourier transform of a 4-length sequence

, where

, and

is sampled at

to generate a periodic sequence in

with period 3, where

represents an integer. Let

represent another sequence such that its discrete Fourier transform

is given as

for

. The value of

is_____ (in integer).

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GATE IN Signals and Systems PYQs

How to practice Signals and Systems

Question 18

Question 19

Question 41

Question 42

Question 43

Question 16

Question 39

Question 48

Question 51

Question 54