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This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.
1. |
What is the ROC of a causal infinite length sequence? |
A. | |z|<r<sub>1</sub> |
B. | |z|>r<sub>1</sub> |
C. | r<sub>2</sub><|z|<r<sub>1</sub> |
D. | None of the mentioned |
Answer» C. r<sub>2</sub><|z|<r<sub>1</sub> | |
2. |
Is the discrete time LTI system with impulse response h(n)=an(n) (|a| < 1) BIBO stable? |
A. | True |
B. | False |
Answer» B. False | |
3. |
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 | |
4. |
What is the ROC of z-transform of an two sided infinite sequence? |
A. | |z|>r<sub>1</sub> |
B. | |z|<r<sub>1</sub> |
C. | r<sub>2</sub><|z|<r<sub>1</sub> |
D. | None of the mentioned |
Answer» D. None of the mentioned | |
5. |
What is the ROC of z-transform of finite duration anti-causal sequence? |
A. | z=0 |
B. | z= |
C. | Entire z-plane, except at z=0 |
D. | Entire z-plane, except at z= |
Answer» E. | |
6. |
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| | |
7. |
What is the z-transform of the signal x(n) = - nu(-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|>| | |
D. | (- frac{1}{1- alpha z^{-1}} );ROC |z|<| | |
Answer» E. | |
8. |
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 ) | |
9. |
What is the ROC of the signal x(n)= (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= | |
10. |
The Z-Transform X(z) of a discrete time signal x(n) is defined as ____________ |
A. | ( sum_{n=- infty}^{ infty}x(n)z^n ) |
B. | ( sum_{n=- infty}^{ infty}x(n)z^{-n} ) |
C. | ( sum_{n=0}^{ infty}x(n)z^n ) |
D. | None of the mentioned |
Answer» C. ( sum_{n=0}^{ infty}x(n)z^n ) | |