MCQOPTIONS
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MCQOPTIONS
This section includes 13 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. |
What is the equation – Xn=1/T∫x(t) ejwtn called? |
| A. | Synthesis equation |
| B. | Analysis equation |
| C. | Frequency domain equation |
| D. | Discrete equation |
| Answer» C. Frequency domain equation | |
| 2. |
What is the equation – X(t)=∑Xnejnwt called? |
| A. | Synthesis equation |
| B. | Analysis equation |
| C. | Frequency domain equation |
| D. | Discrete equation |
| Answer» B. Analysis equation | |
| 3. |
Choose the condition from below that is not a part of Dirichlet’s conditions? |
| A. | If it is continuous then there are a finite number of discontinuities in the period T1 |
| B. | It has a finite average value over the period T |
| C. | It has a finite number of positive and negative maxima in the period T |
| D. | It is a periodic signal |
| Answer» E. | |
| 4. |
WHAT_IS_THE_EQUATION_‚ÄÖ√Ñ√∂‚ÀÖ√Ë‚ÀÖ¬®_XN=1/T‚ÄÖ√Ñ√∂‚ÀւƬ¨¬•X(T)_EJWTN_CALLED??$# |
| A. | Synthesis equation |
| B. | Analysis equation |
| C. | Frequency domain equation |
| D. | Discrete equation |
| Answer» C. Frequency domain equation | |
| 5. |
What is the equation – X(t)=∑Xnejnwt called?# |
| A. | Synthesis equation |
| B. | Analysis equation |
| C. | Frequency domain equation |
| D. | Discrete equation |
| Answer» B. Analysis equation | |
| 6. |
How is the exponential Fourier series represented? |
| A. | X(t) = ‚àëX<sub>n</sub>e<sup>jnwt</sup> + wt |
| B. | X(t) = 1/T‚àëXne<sup>jnwt</sup> |
| C. | X(t) = ‚àëX<sub>n</sub>e<sup>jnwt</sup> |
| D. | X(t) = T*‚àëX<sub>n</sub>e<sup>jnwt</sup> |
| Answer» D. X(t) = T*‚Äö√Ñ√∂‚àö‚Ć‚àö¬¥X<sub>n</sub>e<sup>jnwt</sup> | |
| 7. |
How is a trigonometric Fourier series represented? |
| A. | A<sub>0</sub> +‚àë[ancos(w<sub>0</sub>t)+ ansin(w<sub>0</sub>t)] |
| B. | ‚àë[ancos(w<sub>0</sub>t)+ ansin(w<sub>0</sub>t)] |
| C. | A<sub>0</sub> *‚àë[ancos(w<sub>0</sub>t)+ ansin(w<sub>0</sub>t)] |
| D. | A<sub>0</sub> +‚àë[ancos(w<sub>0</sub>t)+ ansin(w<sub>0</sub>t)] + sinwt |
| Answer» B. ‚Äö√Ñ√∂‚àö‚Ć‚àö¬¥[ancos(w<sub>0</sub>t)+ ansin(w<sub>0</sub>t)] | |
| 8. |
What are the two types of Fourier series? |
| A. | Trigonometric and exponential |
| B. | Trigonometric and logarithmic |
| C. | Exponential and logarithmic |
| D. | Trigonometric only |
| Answer» B. Trigonometric and logarithmic | |
| 9. |
Choose the condition from below that is not a part of Dirichlet’s conditions?$ |
| A. | If it is continuous then there are a finite number of discontinuities in the period T1 |
| B. | It has a finite average value over the period T |
| C. | It has a finite number of positive and negative maxima in the period T |
| D. | It is a periodic signal |
| Answer» E. | |
| 10. |
What are the conditions called which are required for a signal to fulfil to be represented as Fourier series? |
| A. | Dirichlet’s conditions |
| B. | Gibbs phenomenon |
| C. | Fourier conditions |
| D. | Fourier phenomenon |
| Answer» B. Gibbs phenomenon | |
| 11. |
Fourier series representation can be used in case of Non-periodic signals too. True or false? |
| A. | True |
| B. | False |
| Answer» C. | |
| 12. |
Who discovered Fourier series? |
| A. | Jean Baptiste de Fourier |
| B. | Jean Baptiste Joseph Fourier |
| C. | Fourier Joseph |
| D. | Jean Fourier |
| Answer» C. Fourier Joseph | |
| 13. |
What is Fourier series? |
| A. | The representation of periodic signals in a mathematical manner is called a Fourier series |
| B. | The representation of non periodic signals in a mathematical manner is called a Fourier series |
| C. | The representation of non periodic signals in terms of complex exponentials or sinusoids is called a Fourier series |
| D. | The representation of periodic signals in terms of complex exponentials or sinusoids is called a Fourier series |
| Answer» E. | |