Electronics and Communication Engineering
GATE ECE concept:fourier-transform PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:fourier-transform
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 1–6 of 6. Imported answers require independent review unless marked reviewed.
Question 18
Open questionECMCQ1 markNeeds review
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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Open questionECMCQ2 marksNeeds review
Consider a continuous-time finite-energy signal
whose Fourier transform vanishes outside the frequency interval
, where
is in rad/sec.The signal
is uniformly sampled to obtain
. Here,
with
being the Dirac impulse,
, and
. The sampled signal
is passed through an ideal low pass filter
with cutoff frequency
and passband gain
.The output of the filter is given by ____________.
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 44
Open questionECMCQ2 marksNeeds review
Consider two continuous time signals
and
as shown below.
If
denotes the Fourier transform of
, then the Fourier transform of
is ______.Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 28
Open questionECMCQ1 markNeeds review
The Fourier transform
of
isNote:
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 15
Open questionECMCQ1 markNeeds review
The Fourier transform
of the signal
is ________.Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
Open questionECNAT2 marksNeeds review
is the Fourier transform of
shown below. The value of
(rounded off to two decimal places) is __________ . 
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