MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The inverse Z-transform of z/(z+1)2 is ______________ |
| A. | (-1)n+1 |
| B. | (-1)n-1 n |
| C. | (-1)n-1 |
| D. | (-1)n+1 n |
| Answer» C. (-1)n-1 | |
| 2. |
The value of inverse Z-transform of log(\(\frac{z}{z+1}\)) is _______________ |
| A. | (-1)n/n for n = 0; 0 otherwise |
| B. | (-1)n/n |
| C. | 0, for n = 0; (-1)n/n, otherwise |
| D. | 0 |
| Answer» D. 0 | |
| 3. |
The value of \(Z^{-1}\Big\{\frac{z^2}{(z-a)(z-b)}\Big\}\) is ____________ |
| A. | \(\frac{a^{n+1} – b^{n+1}}{a+b}\) |
| B. | \(\frac{a^{n+1} – b^{n+1}}{a-b}\) |
| C. | \(\frac{a^{n+1} + b^{n+1}}{a-b}\) |
| D. | \(\frac{a^{n+1} + b^{n+1}}{a+b}\) |
| Answer» C. \(\frac{a^{n+1} + b^{n+1}}{a-b}\) | |
| 4. |
Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to {X(z)}2 is ___________ |
| A. | {x[n]}2 |
| B. | x[n]*x[n] |
| C. | x[n]*x[-n] |
| D. | x[-n]*x[-n] |
| Answer» C. x[n]*x[-n] | |
| 5. |
Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to \(\frac{z^2-z^{-2}}{2}\) X(z) is ___________ |
| A. | \(\frac{1}{2}\)(x[n+2]-x[n-2]) |
| B. | (x[n+2]-x[n-2]) |
| C. | \(\frac{1}{2}\)(x[n-2]-x[n+2]) |
| D. | (x[n-2]-x[n+2]) |
| Answer» B. (x[n+2]-x[n-2]) | |
| 6. |
Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to \(\frac{dX(z)}{dz}\) is ___________ |
| A. | (n-1)33n-1u[n-1] |
| B. | n33nu[n-1] |
| C. | (1-n)33n-1u[n-1] |
| D. | (n-1)33n-1u[n] |
| Answer» D. (n-1)33n-1u[n] | |
| 7. |
Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to X(z-1) is ___________ |
| A. | n23-nu[n] |
| B. | n23-nu[-n] |
| C. | \(\frac{1}{n^2} 3^{\frac{1}{n}} u[n]\) |
| D. | \(\frac{1}{n^2} 3^{\frac{1}{n}} u[-n]\) |
| Answer» C. \(\frac{1}{n^2} 3^{\frac{1}{n}} u[n]\) | |
| 8. |
Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to X(2z) is ___________ |
| A. | n23n u[2n] |
| B. | \((-\frac{3}{2})^n n^2 u[n] \) |
| C. | \((\frac{3}{2})^n n^2 u[n] \) |
| D. | 6nn2u[n] |
| Answer» D. 6nn2u[n] | |