GATE 2022 : Signals and Systems Quiz 4

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Question 1

The average value of the periodic waveform shown.

• A
• B
• C
• D

Question 2

The ratio of powers present in 3^rd harmonic to 5^th harmonic for a square periodic signal.

• A
• B
• C
• D

Question 3

The Fourier series coefficient of a periodic signal, x(t) is defined as

Which of the following statement is correct.

• Ax(t) is real
• B is even
• Cx(t) is even
• DAll of the above

Question 4

For a signal u(sint); Fourier series is having

• AOdd harmonics of sine only.
• BZero DC.
• CDC and odd Harmonics of sine.
• DAll Harmonics of sine.

Question 5

Find the value of A and B for signal, , such that  and  is

• AA = 1/3 and B = 3
• BA = 3 and B = 1/3
• CA = 2 and B = 1/2
• DA = 1/2 and B = 2

Question 6

The trigonometric Fourier series for the waveform shown in the figure is

• A
• B
• C
• D

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