MCQOPTIONS
Saved Bookmarks
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 z-transform of the signal x(n)=nanu(n)? |
| A. | ( frac{(az)^{-1}}{(1-(az)^{-1})^2} ) |
| B. | ( frac{az^{-1}}{(1-(az)^{-1})^2} ) |
| C. | ( frac{az^{-1}}{(1-az^{-1})^2} ) |
| D. | ( frac{az^{-1}}{(1+az^{-1})^2} ) |
| Answer» D. ( frac{az^{-1}}{(1+az^{-1})^2} ) | |
| 2. |
X(z) is the z-transform of the signal x(n), then what is the z-transform of the signal nx(n)? |
| A. | (-z frac{dX(z)}{dz} ) |
| B. | (z frac{dX(z)}{dz} ) |
| C. | (-z^{-1} frac{dX(z)}{dz} ) |
| D. | (z^{-1} frac{dX(z)}{dz} ) |
| Answer» B. (z frac{dX(z)}{dz} ) | |
| 3. |
If X(z) is the z-transform of the signal x(n), then what is the z-transform of the signal x(-n)? |
| A. | X(-z) |
| B. | X(z<sup>-1</sup>) |
| C. | X<sup>-1</sup>(z) |
| D. | None of the mentioned |
| Answer» C. X<sup>-1</sup>(z) | |
| 4. |
What is the z-transform of the signal x(n)=an(sin 0n)u(n)?
|
| A. | ( frac{az^{-1} sin omega_0}{1-2 az^{-1} cos omega_0- a^2 z^{-2}} ) |
| B. | ( frac{(az)^{-1} cos omega_0}{1-2 az^{-1} cos omega_0+a^2 z^{-2}} ) |
| C. | ( frac{az^{-1} sin omega_0}{1-2 az^{-1} cos omega_0+a^2 z^{-2}} ) |
| Answer» E. | |
| 5. |
If the ROC of X(z) is r1<|z|<r2, then what is the ROC of X(a-1z)? |
| A. | |a|r<sub>1</sub><|z|<|a|r<sub>2</sub> |
| B. | |a|r<sub>1</sub>>|z|>|a|r<sub>2</sub> |
| C. | |a|r<sub>1</sub><|z|>|a|r<sub>2</sub> |
| D. | |a|r<sub>1</sub>>|z|<|a|r<sub>2</sub> |
| Answer» B. |a|r<sub>1</sub>>|z|>|a|r<sub>2</sub> | |
| 6. |
What is the z-transform of the signal defined as x(n)=u(n)-u(n-N)? |
| A. | ( frac{1+z^N}{1+z^{-1}} ) |
| B. | ( frac{1-z^N}{1+z^{-1}} ) |
| C. | ( frac{1+z^{-N}}{1+z^{-1}} ) |
| D. | ( frac{1-z^{-N}}{1-z^{-1}} ) |
| Answer» E. | |
| 7. |
What is the z-transform of the signal x(n)=sin(j 0n)u(n)? |
| A. | ( frac{z^{-1} sin omega_0}{1+2z^{-1} cos omega_0+z^{-2}} ) |
| B. | ( frac{z^{-1} sin omega_0}{1-2z^{-1} cos omega_0-z^{-2}} ) |
| C. | ( frac{z^{-1} cos omega_0}{1-2z^{-1} cos omega_0+z^{-2}} ) |
| D. | ( frac{z^{-1} sin omega_0}{1-2z^{-1} cos omega_0+z^{-2}} ) |
| Answer» E. | |
| 8. |
Which of the following justifies the linearity property of z-transform?[x(n) X(z)]. |
| A. | x(n)+y(n) X(z)Y(z) |
| B. | x(n)+y(n) X(z)+Y(z) |
| C. | x(n)y(n) X(z)+Y(z) |
| D. | x(n)y(n) X(z)Y(z) |
| Answer» C. x(n)y(n) X(z)+Y(z) | |