MCQOPTIONS
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MCQOPTIONS
This section includes 16 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the impulse response of the system described by the second order difference equation y(n)-3y(n-1)-4y(n-2)=x(n)+2x(n-1)? |
| A. | [-\(\frac{1}{5}\) (-1)n–\(\frac{6}{5}\) (4)n]u(n) |
| B. | [\(\frac{1}{5}\) (-1)n–\(\frac{6}{5}\) (4)n]u(n) |
| C. | [\(\frac{1}{5}\) (-1)n+\(\frac{6}{5}\) (4)n]u(n) |
| D. | [-\(\frac{1}{5}\) (-1)n+\(\frac{6}{5}\) (4)n]u(n) |
| Answer» E. | |
| 2. |
The total solution of the difference equation is given as _______________ |
| A. | yp(n)-yh(n) |
| B. | yp(n)+yh(n) |
| C. | yh(n)-yp(n) |
| D. | None of the mentioned |
| Answer» C. yh(n)-yp(n) | |
| 3. |
What is the particular solution of the difference equation y(n)=\(\frac{5}{6}y(n-1)-\frac{1}{6}\)y(n-2)+x(n) when the forcing function x(n)=2n, n≥0 and zero elsewhere? |
| A. | \(\frac{1}{5}\) 2n |
| B. | \(\frac{5}{8}\) 2n |
| C. | \(\frac{8}{5}\) 2n |
| D. | \(\frac{5}{8}\) 2-n |
| Answer» D. \(\frac{5}{8}\) 2-n | |
| 4. |
What is the homogenous solution of the system described by the first order difference equation y(n)+ay(n-1)=x(n)?a) c(a)n(where ‘c’ is a constant)b) c(a)-nc) c(-a)nd) c(- |
| A. | c(a)n(where ‘c’ is a constant) |
| B. | c(a)-n |
| C. | c(-a)n |
| D. | c(-a)-n |
| Answer» D. c(-a)-n | |
| 5. |
The solution obtained by assuming the input x(n) of the system is zero is ____________ |
| A. | General solution |
| B. | Particular solution |
| C. | Complete solution |
| D. | Homogenous solution |
| Answer» E. | |
| 6. |
Zero-state response is also known as ____________ |
| A. | Free response |
| B. | Forced response |
| C. | Natural response |
| D. | None of the mentioned |
| Answer» C. Natural response | |
| 7. |
If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as ____________ |
| A. | Zero-state response |
| B. | Zero-input response |
| C. | Zero-condition response |
| D. | None of the mentioned |
| Answer» B. Zero-input response | |
| 8. |
THE_TOTAL_SOLUTION_OF_THE_DIFFERENCE_EQUATION_IS_GIVEN_AS:?$ |
| A. | y<sub>p</sub>(n)-y<sub>h</sub>(n) |
| B. | y<sub>p</sub>(n)+y<sub>h</sub>(n) |
| C. | y<sub>h</sub>(n)-y<sub>p</sub>(n) |
| D. | None of the mentioned |
| Answer» C. y<sub>h</sub>(n)-y<sub>p</sub>(n) | |
| 9. |
What_is_the_impulse_response_of_the_system_described_by_the_second_order_difference_equation_y(n)-3y(n-1)-4y(n-2)=x(n)+2x(n-1)?$ |
| A. | [-1/5 (-1)<sup>n</sup>-6/5 (4)<sup>n</sup>]u(n) |
| B. | [1/5 (-1)<sup>n</sup> – 6/5 (4)<sup>n</sup>]u(n) |
| C. | [ 1/5 (-1)<sup>n</sup>+ 6/5 (4)<sup>n</sup>]u(n) |
| D. | [- 1/5 (-1)<sup>n</sup>+ 6/5 (4)<sup>n</sup>]u(n) |
| Answer» E. | |
| 10. |
What is the particular solution of the difference equation y(n)= 5/6y(n-1)- 1/6y(n-2)+x(n) when the forcing function x(n)=2n, n‚â•0 and zero elsewhere?# |
| A. | (1/5) 2<sup>n</sup> |
| B. | (5/8) 2<sup>n</sup> |
| C. | (8/5) 2<sup>n</sup> |
| D. | (5/8) 2<sup>-n</sup> |
| Answer» D. (5/8) 2<sup>-n</sup> | |
| 11. |
What is the particular solution of the first order difference equation y(n)+ay(n-1)=x(n) where |a|<1, when the input of the system x(n)=u(n)? |
| A. | 1/(1+a) u(n) |
| B. | 1/(1-a) u(n) |
| C. | 1/(1+a) |
| D. | 1/(1-a) |
| Answer» B. 1/(1-a) u(n) | |
| 12. |
What is the zero-input response of the system described by the homogenous second order equation y(n)-3y(n-1)-4y(n-2)=0 if the initial conditions are y(-1)=5 and y(-2)=0? |
| A. | (-1)<sup>n-1</sup> + (4)<sup>n-2</sup> |
| B. | (-1)<sup>n+1</sup> + (4)<sup>n+2</sup> |
| C. | (-1)<sup>n+1</sup> + (4)<sup>n-2</sup> |
| D. | None of the mentioned |
| Answer» C. (-1)<sup>n+1</sup> + (4)<sup>n-2</sup> | |
| 13. |
The solution obtained by assuming the input x(n) of the system is zero is: |
| A. | General solution |
| B. | Particular solution |
| C. | Complete solution |
| D. | Homogenous solution |
| Answer» E. | |
| 14. |
Zero-input response is also known as Natural or Free response. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 15. |
Zero-state response is also known as: |
| A. | Free response |
| B. | Forced response |
| C. | Natural response |
| D. | None of the mentioned |
| Answer» C. Natural response | |
| 16. |
If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as: |
| A. | Zero-state response |
| B. | Zero-input response |
| C. | Zero-condition response |
| D. | None of the mentioned |
| Answer» B. Zero-input response | |