MCQOPTIONS
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MCQOPTIONS
This section includes 10 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-1) |
| C. | X-1(z) |
| D. | None of the mentioned |
| Answer» C. X-1(z) | |
| 4. |
If the ROC of X(z) is r1 |
| A. | |a|r1<|z|<|a|r2 |
| B. | |a|r1>|z|>|a|r2 |
| C. | |a|r1<|z|>|a|r2 |
| D. | |a|r1>|z|<|a|r2 |
| Answer» B. |a|r1>|z|>|a|r2 | |
| 5. |
If X(z) is the z-transform of the signal x(n) then what is the z-transform of anx(n)? |
| A. | X(az) |
| B. | X(az-1) |
| C. | X(a-1z) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 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. |
According to Time shifting property of z-transform, if X(z) is the z-transform of x(n) then what is the z-transform of x(n-k)? |
| A. | zkX(z) |
| B. | z-kX(z) |
| C. | X(z-k) |
| D. | X(z+k) |
| Answer» C. X(z-k) | |
| 8. |
What is the z-transform of the signal x(n)=sin(jω0n)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. | |
| 9. |
What is the z-transform of the signal x(n)=[3(2n)-4(3n)]u(n)? |
| A. | \(\frac{3}{1-2z^{-1}}-\frac{4}{1-3z^{-1}}\) |
| B. | \(\frac{3}{1-2z^{-1}}-\frac{4}{1+3z^{-1}}\) |
| C. | \(\frac{3}{1-2z}-\frac{4}{1-3z}\) |
| D. | None of the mentioned |
| Answer» B. \(\frac{3}{1-2z^{-1}}-\frac{4}{1+3z^{-1}}\) | |
| 10. |
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) | |