MCQOPTIONS
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MCQOPTIONS
This section includes 7 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. |
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 the causal sequence x(n) = {1,0,-2,3,5,4}. (1 as the reference variable) |
| A. | 1 – 2z-2 + 3z-3 + 5z-4 + 4z-5 |
| B. | 1 – 2z2 + 3z3 + 5z4 + 4z5 |
| C. | z-1 – 2z2 + 3z3 + 5z4 + 4z5 |
| D. | z – 2z3 + 3z4 + 5z5 + 4z6 |
| Answer» B. 1 – 2z2 + 3z3 + 5z4 + 4z5 | |