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Signals and Systems
Signals

Practice questions from Signals.

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Q#1 Signals GATE EC 2024 (Set 1) MSQ +2 marks -0 marks

The radian frequency value(s) for which the discrete time sinusoidal signal

has a period of 40 is/are__________.

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Q#2 Signals GATE EC 2019 (Set 1) NAT +1 mark -0 marks

Consider the signal ,

where t is in seconds. Its fundamental time period, in seconds, is ________

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Q#3 Signals GATE EC 2015 (Set 1) NAT +1 mark -0 marks

The waveform of a periodic signal x(t) is shown in the figure.

Q18-1.jpg

A signal g(t) is defined by .

The average power of g(t) is _______.

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Q#4 Signals GATE EC 2015 (Set 3) MCQ +1 mark -0.33 marks

The impulse response of an LTI system can be obtained by

Differentiating the unit ramp response

Differentiating the unit step response

Integrating the unit ramp response

Integrating the unit step response

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Q#5 Signals GATE EC 2015 (Set 3) NAT +2 marks -0 marks

Two sequences and have the same energy. Suppose, where α is a positive real number and u[n] is the unit step sequence.

Assume for

Then the value of α is _________.

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Q#6 Signals GATE EC 2014 (Set 1) MCQ +1 mark -0.33 marks

A discrete-time signal, n being an integer, is

a periodic with period π.

periodic with period

periodic with period π/2.

not periodic.

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Q#7 Signals GATE EC 2013 (Set 1) MCQ +1 mark -0.33 marks

For a periodic signal ,

the fundamental frequency in rad/s is

100

300

500

1500

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Q#8 Signals GATE EC 2009 (Set 1) MCQ +1 mark -0.33 marks

A function is given by .

Which of the following is true?

f has frequency components at 0 and  Hz

f has frequency components at 0 and  Hz

f has frequency components at  and  Hz

f has frequency components at 0 ,  and  Hz

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Q#9 Signals GATE EC 2006 (Set 1) MCQ +1 mark -0.33 marks

The Dirac delta function is defined as

   and

  and

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Q#10 Signals GATE EC 2005 (Set 1) MCQ +1 mark -0.33 marks

The function x(t) is shown in figure. Even and odd parts of a unit-step function u(t) are respectively.

,  

,  

,  

,

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Q#11 Signals GATE EC 2004 (Set 1) MCQ +2 marks -0.66 marks

Consider the sequence.

The conjugate anti-symmetric part of the sequence is

[-4 - j2.5         j2    4 - j2.5]

[- j2.5  1  j2.5]

[- j2.5 j2  0]

[-4  1  -4 ]

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Q#12 Signals GATE EC 2001 (Set 1) MCQ +1 mark -0.33 marks

Let denote the delta function.

The value of the integral  is

1

-1

0

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Q#13 Signals GATE EC 2001 (Set 1) MCQ +1 mark -0.33 marks

If a signal f(t) has energy E, the energy of the signal f(2t) is equal to

E

2E

4E

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Q#14 Signals GATE EC 1992 (Set 1) MSQ +2 marks -0 marks

Which of the following signals is/are periodic?

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