GATE EE Signals and Systems PYQs & Answers — Page 3

Questions 21–30 of 59. Imported answers require independent review unless marked reviewed.

Topic practice 59 questionsPage 3 of 6

For the signals

and

shown in the figure,

is maximum at

. Then

in seconds is __________ (Round off to the nearest integer).

Diagram for Electrical Engineering question 31

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The period of the discrete-time signal

described by the equation below is

__________ (Round off to the nearest integer).

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The discrete-time Fourier transform of a signal

. Consider that

is a periodic signal of period

such that

Note that

. The magnitude of the Fourier series coefficient

is ______________ (Round off to 3 decimal places).

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A signal

is sampled at 200 Hz and then passed through an ideal low pass filter having cut-off frequency of 100 Hz. The maximum frequency present in the filtered signal in Hz is ____________ (Round off to the nearest integer).

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If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is _________. (round off to nearest integer)

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Let a causal LTI system be governed by the following differential equation

, where

and

are the input and output respectively. Its impulse response is

Your answerChoose one option.

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Let an input

is passed through an LTI system having an impulse response,

The output of the system is

Your answerChoose one option.

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Consider the system as shown below

Diagram for Electrical Engineering question 48

where

. The system is

Your answerChoose one option.

linear and causal.

linear and non-causal.

non-linear and causal.

non-linear and non-causal.

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The discrete time Fourier series representation of a signal

with period

is written as

. A discrete time period signal with period

, has the non-zero Fourier series coefficients:

and

. The signal is

Your answerChoose one option.

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If the input

and output

of a system are related as

, then the system is

Your answerChoose one option.

linear and time-variant

linear and time-invariant

non-linear and time-variant

non-linear and time-invariant

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GATE EE Signals and Systems PYQs

Question 31

Question 49

Question 50

Question 63

Question 30

Question 46

Question 47

Question 48

Question 49

Question 6