GATE ECE Continuous-time signals PYQs & Answers

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Continuous-time signals

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Questions 1–10 of 36. Imported answers require independent review unless marked reviewed.

Topic practice 36 questionsPage 1 of 4

Two analog signals

and

(t in second), are sampled at a rate

Hz, where

, and

The first ten samples (starting from t = 0) are considered for the analysis.

Which of the following statements is TRUE?

Your answerChoose one option.

All of the first three samples of

are greater than the corresponding samples of

All of the last three samples of

are greater than the corresponding samples of

All of the samples of

are greater than the corresponding samples of

All of the fourth to seventh samples of

are equal to the corresponding samples of

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The continuous time signal

is real, periodic with period

and satisfies the Dirichlet conditions.

The Fourier series representation of

and

satisfies the following:

For any integer

, which of the following options is correct?

Your answerChoose one option.

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Consider a real signal

, such that

for

and

for

. Let

. Which of the following options correctly represents the ratio,

Your answerChoose one option.

1/3

1/9

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Consider a real baseband signal

, for t (in seconds)

If 99% of energy of x(t) lies within B Hz, then which of the following options is TRUE for the value of B?

Your answerChoose one option.

B > 1 kHz

Hz < B <

B < 1 Hz

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Let

and

represent two sinusoids for a positive integer

and

. Which of the following statements about

and

is/are valid?

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

and

are orthogonal to each other over

and

are orthonormal to each other over

is a harmonic of

and

are non-orthogonal to each other over

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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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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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Let

be a periodic signal with fundamental period

. Consider the signal

, where

. The Fourier series expansions of

and

are given by

Which of the following statements is/are TRUE?

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

for all

is periodic with a fundamental period

for all

is periodic with a fundamental period

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Consider two continuous time signals

and

as shown below.

Diagram for Electronics and Communication Engineering question 44

denotes the Fourier transform of

, then the Fourier transform of

is ______.

Your answerChoose one option.

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A continuous time signal

is sampled at a rate of 15 Hz. The sampled signal

when passed through an LTI system with impulse response

produces an output

. The expression for

is ______.

Your answerChoose one option.

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GATE ECE Continuous-time signals PYQs

How to practice Continuous-time signals

Question 15

Question 37

Question 43

Question 46

Question 58

Question 18

Question 38

Question 55

Question 44

Question 48