Electronics and Communication Engineering
GATE ECE Continuous-time signals PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 36. Imported answers require independent review unless marked reviewed.
Question 26
Open questionECMCQ1 markNeeds review
Consider a system with input
and output
. The system isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 27
Open questionECMCQ1 markNeeds review
Let
be a strictly band-limited signal with bandwidth
and energy
. Assuming
, the energy in the signal
isYour answerChoose one option.
Log in to check the answer
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.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 29
Open questionECMCQ1 markNeeds review
In the table shown below, match the signal type with its spectral characteristics.
Signal type | Spectral characteristics |
|---|---|
(i) Continuous, aperiodic | (a) Continuous, aperiodic |
(ii) Continuous, periodic | (b) Continuous, periodic |
(iii) Discrete, aperiodic | (c) Discrete, aperiodic |
(iv) Discrete, periodic | (d) Discrete, periodic |
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 49
Open questionECMCQ2 marksNeeds review
Let
be passed through an LTI system having impulse response
. The output of the system isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 50
Open questionECMCQ2 marksNeeds review
Let
and
be two band-limited signals having bandwidth
rad/s each. In the figure below, the Nyquist sampling frequency, in rad/s, required to sample
, is 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 58
Open questionECNAT2 marksNeeds review
Let
and
is shown in the figure below. For
, the
is ____________________ (rounded off to the nearest integer).
Log in to check the answer
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.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 33
Open questionECNAT1 markNeeds review
Let
and
, where
denotes the unit step function.If
denotes the convolution of
and
, then
________ (rounded off to one decimal place).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 4
Open questionECMCQ1 markNeeds review
Consider a real-valued base-band signal
, band limited to 10 kHz. The Nyquist rate for the signal
isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer