MCQOPTIONS
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MCQOPTIONS
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 inverse Fourier transform of sgn( ). |
| A. | ( frac{1}{ t} ) |
| B. | ( frac{j}{ t} ) |
| C. | ( frac{j}{t} ) |
| D. | ( frac{1}{t} ) |
| Answer» C. ( frac{j}{t} ) | |
| 2. |
Find the inverse Fourier transform of f(t)=1. |
| A. | u(t) |
| B. | (t) |
| C. | e<sup>-t</sup> |
| D. | ( frac{1}{j } ) |
| Answer» C. e<sup>-t</sup> | |
| 3. |
Find the convolution of the signals x1 (t) = e-2t u(t) and x2 (t) = e-3t u(t). |
| A. | e<sup>-2t</sup> u(t) e<sup>-3t</sup> u(t) |
| B. | e<sup>-2t</sup> u(t) + e<sup>-3t</sup> u(t) |
| C. | e<sup>2t</sup> u(t) e<sup>3t</sup> u(t) |
| D. | e<sup>2t</sup> u(t) e<sup>-3t</sup> u(t) |
| Answer» B. e<sup>-2t</sup> u(t) + e<sup>-3t</sup> u(t) | |
| 4. |
Find the inverse Fourier transform of (X( ) = frac{6+4(j )}{(j )^2 + 6(j ) + 8} ). |
| A. | e<sup>-2t</sup> u(t) 5e<sup>-4t</sup> u(t) |
| B. | e<sup>-2t</sup> u(t) + 5e<sup>-4t</sup> u(t) |
| C. | -e<sup>-2t</sup> u(t) 5e<sup>-4t</sup> u(t) |
| D. | -e<sup>-2t</sup> u(t) + 5e<sup>-4t</sup> u(t) |
| Answer» E. | |
| 5. |
Find the inverse Fourier transform of j . |
| A. | (t) |
| B. | ( frac{d}{dt} ) (t) |
| C. | ( frac{1}{ (t)} ) |
| D. | (t) |
| Answer» C. ( frac{1}{ (t)} ) | |
| 6. |
Find the inverse Fourier transform of ej2t. |
| A. | 2 ( -2) |
| B. | ( -2) |
| C. | ( +2) |
| D. | 2 ( +2) |
| Answer» B. ( -2) | |
| 7. |
Find the inverse Fourier transform of u( ). |
| A. | ( frac{1}{2} (t) + frac{j}{2 t} ) |
| B. | ( frac{1}{2} (t) frac{j}{2 t} ) |
| C. | (t) + ( frac{j}{2 t} ) |
| D. | (t) ( frac{j}{2 t} ) |
| Answer» B. ( frac{1}{2} (t) frac{j}{2 t} ) | |
| 8. |
Find the inverse Fourier transform of ( ). |
| A. | ( frac{1}{2 } ) |
| B. | 2 |
| C. | ( frac{1}{ } ) |
| D. | |
| Answer» E. | |
| 9. |
Find the inverse Fourier transform of X( ) = ( frac{1+3(j )}{(3+j )^2} ). |
| A. | 3e<sup>-3t</sup> u(t) + 8e<sup>-3t</sup> u(t) |
| B. | 3te<sup>-3t</sup> u(t) 8e<sup>-8t</sup> u(t) |
| C. | 3e<sup>-3t</sup> u(t) + 8te<sup>8t</sup> u(t) |
| D. | 3e<sup>-3t</sup> u(t) 8te<sup>-3t</sup> u(t) |
| Answer» E. | |
| 10. |
Find the inverse Fourier transform of X( ) = e-2 u( ). |
| A. | ( frac{1}{2 (2+jt)} ) |
| B. | ( frac{1}{2 (2-jt)} ) |
| C. | ( frac{1}{2(2+jt)} ) |
| D. | ( frac{1}{ (2+jt)} ) |
| Answer» C. ( frac{1}{2(2+jt)} ) | |