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. |
Find x( ) if X(z) = ( frac{z+3}{(z+1)(z+2)} ). |
| A. | |
| B. | -1 |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 2. |
Find x( ) if X(z) = ( frac{Z+1}{(z-0.6)^2} ). |
| A. | 1 |
| B. | 0 |
| C. | |
| D. | 0.6 |
| Answer» C. | |
| 3. |
Find the Z-transform of x(n) = ( ( frac{1}{2} ))n u(n)*( ( frac{1}{4} ))n u(n). |
| A. | ( frac{z}{z-(1/2)} frac{z}{z-(1/4)} ) |
| B. | ( frac{z}{z-(1/2)} + frac{z}{z-(1/4)} ) |
| C. | ( frac{z}{z+(1/2)} * frac{z}{z-(1/4)} ) |
| D. | ( frac{z}{z-(1/2)} frac{z}{z+(1/4)} ) |
| Answer» B. ( frac{z}{z-(1/2)} + frac{z}{z-(1/4)} ) | |
| 4. |
Find the Z-transform of x(n) = n[an u(n)]. |
| A. | ( frac{z}{z(z-a)} ) |
| B. | ( frac{az}{z(z-a)} ) |
| C. | ( frac{az}{z(z+a)} ) |
| D. | ( frac{a}{z(z-a)^2} ) |
| Answer» E. | |
| 5. |
Find the Z-transform of x(n) = 2n u(n-2). |
| A. | ( frac{z}{z-2} ) |
| B. | ( frac{z}{z+2} ) |
| C. | ( frac{z}{z(z-2)} ) |
| D. | ( frac{4}{z(z-2)} ) |
| Answer» E. | |
| 6. |
Find the Z-transform of x(n) = n2 u(n). |
| A. | ( frac{z(z-1)}{(z-1)^3} ) |
| B. | ( frac{z(z+1)}{(z-1)^3} ) |
| C. | ( frac{z(z+1)}{(z+1)^3} ) |
| D. | ( frac{z(z-1)}{(z+1)^3} ) |
| Answer» C. ( frac{z(z+1)}{(z+1)^3} ) | |
| 7. |
Find the Z-transform of x(n) = u(-n-2). |
| A. | ( frac{z^2}{z-1} ) |
| B. | ( frac{z^2}{1-z} ) |
| C. | ( frac{z^2}{1+z} ) |
| D. | ( frac{z^2}{2-z} ) |
| Answer» C. ( frac{z^2}{1+z} ) | |
| 8. |
Find the Z-transform of x(n) = u(-n). |
| A. | ( frac{1}{z-1} ) |
| B. | ( frac{1}{z+1} ) |
| C. | ( frac{1}{1-z} ) |
| D. | ( frac{-1}{z+1} ) |
| Answer» D. ( frac{-1}{z+1} ) | |
| 9. |
Find the Z-transform of the anticausal sequence x(n) = {4,2,3,-1,-2,1}. (1 as the reference variable) |
| A. | 4z<sup>5</sup> + 2z<sup>4</sup> + 3z<sup>3</sup> z<sup>2</sup> 2z + 1 |
| B. | 4z<sup>-5</sup> + 2z<sup>-4</sup> + 3z<sup>-3</sup> -z<sup>-2</sup> 2z<sup>-1</sup> + 1 |
| C. | -4z<sup>5</sup> 2z<sup>4</sup> 3z<sup>3</sup> + z<sup>2</sup> + 2z 1 |
| D. | -4z<sup>-5</sup> 2z<sup>-4</sup> 3z<sup>-3</sup> + z<sup>-2</sup> + 2z<sup>-1</sup> 1 |
| Answer» B. 4z<sup>-5</sup> + 2z<sup>-4</sup> + 3z<sup>-3</sup> -z<sup>-2</sup> 2z<sup>-1</sup> + 1 | |
| 10. |
1.Find the Z-transform of the causal sequence x(n) = {1,0,-2,3,5,4}. (1 as the reference variable) |
| A. | 1 2z<sup>-2</sup> + 3z<sup>-3</sup> + 5z<sup>-4</sup> + 4z<sup>-5</sup> |
| B. | 1 2z<sup>2</sup> + 3z<sup>3</sup> + 5z<sup>4</sup> + 4z<sup>5</sup> |
| C. | z<sup>-1</sup> 2z<sup>2</sup> + 3z<sup>3</sup> + 5z<sup>4</sup> + 4z<sup>5</sup> |
| D. | z 2z<sup>3</sup> + 3z<sup>4</sup> + 5z<sup>5</sup> + 4z<sup>6</sup> |
| Answer» B. 1 2z<sup>2</sup> + 3z<sup>3</sup> + 5z<sup>4</sup> + 4z<sup>5</sup> | |