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This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
1. |
The z-transform of a sequence x(n) which is given as X(z)=\(\sum_{n=-\infty}^{\infty}x(n)z^{-n}\) is known as _____________ |
A. | Uni-lateral Z-transform |
B. | Bi-lateral Z-transform |
C. | Tri-lateral Z-transform |
D. | None of the mentioned |
Answer» C. Tri-lateral Z-transform | |
2. |
What is the ROC of the z-transform of the signal x(n)= anu(n)+bnu(-n-1)? |
A. | |a|<|z|<|b| |
B. | |a|>|z|>|b| |
C. | |a|>|z|<|b| |
D. | |a|<|z|>|b| |
Answer» B. |a|>|z|>|b| | |
3. |
What is the z-transform of the signal x(n) = -αnu(-n-1)? |
A. | \(\frac{1}{1-\alpha z^{-1}}\);ROC |z|b) \(-\frac{1}{1+\alpha z^{-1}}\);ROC |z|c) \(-\frac{1}{1-\alpha z^{-1}}\);ROC |z|>|α| |
B. | \(-\frac{1}{1-\alpha z^{-1}}\);ROC |z| |
Answer» E. | |
4. |
Which of the following series has an ROC as mentioned below? |
A. | α-nu(n) |
B. | αnu(n) |
C. | α-nu(-n) |
D. | αnu(n) |
Answer» C. α-nu(-n) | |
5. |
What is the z-transform of the signal x(n)=(0.5)nu(n)? |
A. | \(\frac{1}{1-0.5z^{-1}};ROC |z|>0.5\) |
B. | \(\frac{1}{1-0.5z^{-1}};ROC |z|<0.5\) |
C. | \(\frac{1}{1+0.5z^{-1}};ROC |z|>0.5\) |
D. | \(\frac{1}{1+0.5z^{-1}};ROC |z|<0.5\) |
Answer» B. \(\frac{1}{1-0.5z^{-1}};ROC |z|<0.5\) | |
6. |
What is the ROC of the signal x(n)=δ(n-k), k>0? |
A. | z=0 |
B. | z=∞ |
C. | Entire z-plane, except at z=0 |
D. | Entire z-plane, except at z=∞ |
Answer» D. Entire z-plane, except at z=∞ | |
7. |
What is the z-transform of the following finite duration signal? |
A. | 2 + 4z + 5z2 + 7z3 + z4 |
B. | 2 + 4z + 5z2 + 7z3 + z5 |
C. | 2 + 4z-1 + 5z-2 + 7z-3 + z-5 |
D. | 2z2 + 4z + 5 +7z-1 + z-3 |
Answer» E. | |