GATE IN Signals and Systems PYQs & Answers — Page 5

Questions 41–50 of 62. Imported answers require independent review unless marked reviewed.

Topic practice 62 questionsPage 5 of 7

The output

of a system is related to its input

where,

and

for

. The transfer function of the system is

Your answerChoose one option.

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The input

and output

of a discrete-time system are related as

. The condition on

for which the system is Bounded-Input Bounded-Output (BIBO) stable is

Your answerChoose one option.

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The frequency response of a digital filter

has the following characteristics Passband:

for

and Stopband:

for

, where

is the normalized angular frequency in rad/sample. If the analog upper cut off frequency for the passband of the above digital filter is to be 1.2 kHz, then the sampling frequency should be ______ kHz.

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The transfer function relating the input

to the output

of a system is given by

. A unit-step input is applied to the system at time

. Assuming that

, the value of

at time

is ______ (Answer should be rounded off to two decimal places)

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The output of a continuous-time system

is related to its input

. If the Fourier transform of

and

are

and

respectively, and

, the value of

is ______ .

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A discrete-time signal

is down-sampled to the signal

such that

. The fundamental period of the down-sampled signal

is ______.

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Two periodic signals

and

have the same fundamental period of 3 seconds. Consider the signal

. The fundamental period of

in seconds is

Your answerChoose one option.

1.5

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Consider signal

. Let

denote the unit impulse (Dirac-delta) function. The value of the integral

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An ideal square wave with period of 20 ms shown in the figure, is passed through an ideal low pass filter with cut-off frequency 120 Hz. Which of the following is an accurate description of the output?

Diagram for Instrumentation Engineering question 11

Your answerChoose one option.

Output is zero.

Output consists of both 50 Hz and 100 Hz frequency components.

Output is a pure sinusoid of frequency 50 Hz.

Output is a square wave of fundamental frequency 50 Hz.

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An input

is applied to the system

. The corresponding steady state output is

, where the phase

(in degrees), when restricted to

, is ____ .

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GATE IN Signals and Systems PYQs

Question 5

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Question 11

Question 12