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This section includes 5 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 the Z-transform of x(n) = a|n|; |a|<1. |
A. | \(\frac{z}{z-a} – \frac{z}{z-(1/a)}\) |
B. | \(\frac{z}{z-(1/a)} – \frac{z}{z-a}\) |
C. | \(\frac{z}{z-a} + \frac{z}{z-(1/a)}\) |
D. | \(\frac{1}{z-a} – \frac{1}{z-(1/a)}\) |
Answer» B. \(\frac{z}{z-(1/a)} – \frac{z}{z-a}\) | |
2. |
x(n) = an u(n) and x(n) = -an u(-n-1) have the same X(Z) and ROC. |
A. | True |
B. | False |
Answer» C. | |
3. |
Find the Z-transform of cosωn u(n). |
A. | \(\frac{z(z+cosω)}{z^2-2z cosω+1}\) |
B. | \(\frac{z(z-cosω)}{z^2-2z cosω+1}\) |
C. | \(\frac{z(z-cosω)}{z^2+2z cosω+1}\) |
D. | \(\frac{z(z+cosω)}{z^2+2z cosω+1}\) |
Answer» C. \(\frac{z(z-cosω)}{z^2+2z cosω+1}\) | |
4. |
Find the Z-transform of an u(n);a>0. |
A. | \(\frac{z}{z-a}\) |
B. | \(\frac{z}{z+a}\) |
C. | \(\frac{1}{1-az}\) |
D. | \(\frac{1}{1+az}\) |
Answer» B. \(\frac{z}{z+a}\) | |
5. |
Find the Z-transform of δ(n+3). |
A. | z |
B. | z2 |
C. | 1 |
D. | z3 |
Answer» E. | |