MCQOPTIONS
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MCQOPTIONS
This section includes 8 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)<sup>n</sup> ( frac{6}{5} ) (4)<sup>n</sup>]u(n) |
| B. | [ ( frac{1}{5} ) (-1)<sup>n</sup> ( frac{6}{5} ) (4)<sup>n</sup>]u(n) |
| C. | [ ( frac{1}{5} ) (-1)<sup>n</sup>+ ( frac{6}{5} ) (4)<sup>n</sup>]u(n) |
| D. | [- ( frac{1}{5} ) (-1)<sup>n</sup>+ ( frac{6}{5} ) (4)<sup>n</sup>]u(n) |
| Answer» E. | |
| 2. |
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) | |
| 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} ) 2<sup>n</sup> |
| B. | ( frac{5}{8} ) 2<sup>n</sup> |
| C. | ( frac{8}{5} ) 2<sup>n</sup> |
| D. | ( frac{5}{8} ) 2<sup>-n</sup> |
| Answer» D. ( frac{5}{8} ) 2<sup>-n</sup> | |
| 4. |
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. | ( frac{1}{1+a} ) u(n) |
| B. | ( frac{1}{1-a} ) u(n) |
| C. | ( frac{1}{1+a} ) |
| D. | ( frac{1}{1-a} ) |
| Answer» B. ( frac{1}{1-a} ) u(n) | |
| 5. |
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)<sup>n</sup>(where c is a constant) |
| B. | c(a)<sup>-n</sup> |
| C. | c(-a)<sup>n</sup> |
| D. | c(-a)<sup>-n</sup> |
| Answer» D. c(-a)<sup>-n</sup> | |
| 6. |
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. | |
| 7. |
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 | |
| 8. |
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 | |