MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems 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)<sup>n+1</sup> |
| B. | (-1)<sup>n-1</sup> n |
| C. | (-1)<sup>n-1</sup> |
| D. | (-1)<sup>n+1</sup> n |
| Answer» C. (-1)<sup>n-1</sup> | |
| 2. |
The value of inverse Z-transform of log( ( frac{z}{z+1} )) is _______________ |
| A. | (-1)<sup>n</sup>/n for n = 0; 0 otherwise |
| B. | (-1)<sup>n</sup>/n |
| C. | 0, for n = 0; (-1)<sup>n</sup>/n, otherwise |
| D. | 0 |
| Answer» D. 0 | |
| 3. |
Given the z-transform pair
|
| A. | nThe z-transform of the signal y[n] = nx[n] is _________ |
| B. | ( frac{32z^2}{(z^2-16)^2} ) |
| C. | ( frac{-32z^2}{(z^2-16)^2} ) |
| D. | ( frac{32}{(z^2-16)^2} ) |
| E. | ( frac{-32z}{(z^2-16)^2} ) |
| Answer» B. ( frac{32z^2}{(z^2-16)^2} ) | |
| 4. |
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} ) | |
| 5. |
The system described by the difference equation y(n) 2y(n-1) + y(n-2) = X(n) X(n-1) has y(n) = 0 and n<0. If x (n) = (n), then y (z) will be? |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | -1 |
| Answer» D. -1 | |
| 6. |
Given the z-transform pair 3nn2 u[n] X (z). The time signal corresponding to {X(z)}2 is ___________ |
| A. | {x[n]}<sup>2</sup> |
| B. | x[n]*x[n] |
| C. | x[n]*x[-n] |
| D. | x[-n]*x[-n] |
| Answer» C. x[n]*x[-n] | |
| 7. |
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]) | |
| 8. |
Given the z-transform pair 3nn2 u[n] X (z). The time signal corresponding to ( frac{dX(z)}{dz} ) is ___________ |
| A. | (n-1)<sup>3</sup>3<sup>n-1</sup>u[n-1] |
| B. | n<sup>3</sup>3<sup>n</sup>u[n-1] |
| C. | (1-n)<sup>3</sup>3<sup>n-1</sup>u[n-1] |
| D. | (n-1)<sup>3</sup>3<sup>n-1</sup>u[n] |
| Answer» D. (n-1)<sup>3</sup>3<sup>n-1</sup>u[n] | |
| 9. |
Given the z-transform pair 3nn2 u[n] X (z). The time signal corresponding to X(z-1) is ___________ |
| A. | n<sup>2</sup>3<sup>-n</sup>u[n] |
| B. | n<sup>2</sup>3<sup>-n</sup>u[-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] ) | |
| 10. |
Given the z-transform pair 3nn2 u[n] X (z). The time signal corresponding to X(2z) is ___________ |
| A. | n<sup>2</sup>3<sup>n</sup> 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] | |