continuous time fourier analysis...7. fourier transform is applicable for (a) only energy signal (b)...
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Chapter Test Signals and Systems
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Continuous Time Fourier Analysis
Duration: 45 Minutes Maximum marks: 30
Q.1 - Q.10 Carry One Mark each.
1. For the periodic signal shown below with period The power in the
harmonic is
2. If Fourier transform of x(t) is then Fourier transform of is
3. Fourier Transform of | | is __________
4. For a function f(t), it is given that
∫
∫
is__________
5. The Fourier series coefficient of a signal f (t) is 15. Then the Fourier series coefficient of
[ ] __________
(A) 15
(B) 5
(C) 45
(D) ⁄
Chapter Test Signals and Systems
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6. The Fourier series coefficient of a continuous time signal f(t) is If f(t) is a real
signal then __________
(A)
(B)
(C)
(D)
7. Fourier transform is applicable for
(A) Only energy signal
(B) Only power signals
(C) Both energy and power signals
(D) Neither energy nor power signals.
8. A Continuous time signal x (t) is shown in figure.
The Fourier series expansion x (t) has
(A) Only sine term with all harmonics
(B) Only cosine term will all harmonics
(C) Only sine term with odd numbered harmonics
(D) Only cosine term with odd numbered harmonics
9. Let be Fourier Transform pair .The Fourier Transform of the signals [ ] in
terms of is given as __________
*
+
*
+
*
+
[ ]
10. The trigonometric Fourier series of an odd function contain only
(A) Cosine harmonics of all term
(B) Sine harmonics of odd term
(C) Sine harmonics of all term
(D) Cosine harmonics of odd term
Chapter Test Signals and Systems
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Q.11 - Q.20 Carry Two Mark each.
11. A signal is a triangular wave as shown below.
Then Fourier transform is
(A) [ ]
(B) [ 2]
(C) [ +2]
(D) [ ]
12. The Fourier transform of signal is
(A) [ ] [ ]
(B) [ ] [ ]
(C) [ ] [ ]
(D) [ ] [ ]
13. the
| |
√
√
√
√
14. The Fourier transform of If
[ ] Then its increase Fourier
transform f(1) is __________
15. The complex exponential power form of Fourier series of x(t) is
∑
∑ [ ] , then the value of is__________?
Chapter Test Signals and Systems
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16. (
) [
]
The fundament frequency of the signal is
(A)
(B) ⁄
(C)
(D) ⁄
17. Let x(t) be the periodic signal with time period T. Let y(t) = [ ]
The Fourier series coefficients of x(t) and y(t) are denoted . . If T =4 and ,
then is equal to _________is
(A)
(B)
(C)
(D)
18.
The the Fourier transform of is __________
19. If the continuous time signal is Real and odd. Then the fourier transform signal
(A) Real and odd
(B) Real and Even
(C) Imaginary and odd
(D) Imaginary and even
20. A continuous time signal
the value of ∫ | |
dt is__________
(D)
⁄
(C)
⁄
(B)
(A)