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This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.
1. |
Find the Fourier transform of sinc(t). |
A. | G<sub> </sub> ( ) |
B. | G<sub>2 </sub> ( ) |
C. | (G_{ frac{ }{2}} ) ( ) |
D. | G<sub> </sub> (- ) |
Answer» C. (G_{ frac{ }{2}} ) ( ) | |
2. |
Find the Fourier transform of e-2t u(t-1). |
A. | (e^{-2} [e^{-j } frac{1}{2-j }] ) |
B. | (e^2 [e^{-j } frac{1}{2-j }] ) |
C. | (e^{-2} [e^{j } frac{1}{2-j }] ) |
D. | (e^{-2} [e^{-j } frac{1}{2+j }] ) |
Answer» E. | |
3. |
Find the Fourier transform of ( frac{1}{a+jt} ). |
A. | 2 e<sup>a </sup> u( ) |
B. | 2 e<sup>a </sup> u(- ) |
C. | 2 e<sup>-a </sup> u( ) |
D. | 2 e<sup>-a </sup> u(- ) |
Answer» C. 2 e<sup>-a </sup> u( ) | |
4. |
Find the Fourier transform of x(t) = f(t 2) + f(t + 2). |
A. | 2F( )cos u20612 |
B. | F( )cos u20612 |
C. | 2F( )sin u20612 |
D. | F( )sin u20612 |
Answer» B. F( )cos u20612 | |
5. |
Find the Fourier transform of u(-t). |
A. | ( ) + ( frac{1}{ } ) |
B. | ( ) + ( frac{1}{j } ) |
C. | ( ) ( frac{1}{j } ) |
D. | ( ) + ( frac{1}{j } ) |
Answer» D. ( ) + ( frac{1}{j } ) | |
6. |
Find the Fourier transform of ej 0t. |
A. | ( + <sub>0</sub>) |
B. | 2 ( + <sub>0</sub>) |
C. | ( <sub>0</sub>) |
D. | 2 ( <sub>0</sub>) |
Answer» E. | |
7. |
Find the Fourier transform of f(t)=te-at u(t). |
A. | ( frac{1}{(a-j )^2} ) |
B. | ( frac{1}{(a+j )^2} ) |
C. | ( frac{a}{(a-j )^2} ) |
D. | ( frac{ }{(a-j )^2} ) |
Answer» C. ( frac{a}{(a-j )^2} ) | |
8. |
The Fourier transform of a Gaussian pulse is also a Gaussian pulse. |
A. | True |
B. | False |
Answer» B. False | |
9. |
Find the Fourier transform of ( frac{j}{ t} ). |
A. | sinc( ) |
B. | sa( ) |
C. | ( ) |
D. | sgn( ) |
Answer» E. | |
10. |
The Fourier transform of a function x(t) is X( ). What will be the Fourier transform of ( frac{dX(t)}{dt} )? |
A. | ( frac{X(f)}{jf} ) |
B. | j2 fX(f) |
C. | ( frac{dX(f)}{dt} ) |
D. | jfX(f) |
Answer» C. ( frac{dX(f)}{dt} ) | |