MCQOPTIONS
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MCQOPTIONS
This section includes 24 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. |
A linear time invariant system is characterized by the system function H(z)=\(\frac{1}{1-0.5z^{-1}}+\frac{2}{1-3z^{-1}}\). What is the h(n) if the system is anti causal? |
| A. | (0.5)nu(n)+2(3)nu(n) |
| B. | (0.5)nu(-n-1)-2(3)nu(-n-1) |
| C. | -[(0.5)n+2(3)n]u(-n-1) |
| D. | (0.5)nu(n)-2(3)nu(-n-1) |
| Answer» D. (0.5)nu(n)-2(3)nu(-n-1) | |
| 2. |
A linear time invariant system is characterized by the system function H(z)=\(\frac{1}{1-0.5z^{-1}}+\frac{2}{1-3z^{-1}}\). What is the ROC of H(z) if the system is causal? |
| A. | |z|<3 |
| B. | |z|>3 |
| C. | |z|<0.5 |
| D. | |z|>0.5 |
| Answer» C. |z|<0.5 | |
| 3. |
A linear time invariant system is characterized by the system function H(z)=\(\frac{1}{1-0.5z^{-1}}+\frac{2}{1-3z^{-1}}\). What is the h(n) if the system is stable? |
| A. | (0.5)nu(n)-2(3)nu(n) |
| B. | (0.5)nu(-n-1)-2(3)nu(-n-1) |
| C. | (0.5)nu(-n-1)-2(3)nu(n) |
| D. | (0.5)nu(n)-2(3)nu(-n-1) |
| Answer» E. | |
| 4. |
If all the poles of H(z) are inside the unit circle, then the system is said to be ____________ |
| A. | Only causal |
| B. | Only BIBO stable |
| C. | BIBO stable and causal |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 5. |
A linear time invariant system is said to be BIBO stable if and only if the ROC of the system function _____________ |
| A. | Includes unit circle |
| B. | Excludes unit circle |
| C. | Is an unit circle |
| D. | None of the mentioned |
| Answer» B. Excludes unit circle | |
| 6. |
If the ROC of the system function is the exterior of a circle of radius r < ∞, including the point z = ∞, then the system is said to be ___________ |
| A. | Stable |
| B. | Causal |
| C. | Anti causal |
| D. | None of the mentioned |
| Answer» C. Anti causal | |
| 7. |
What is the steady-state response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos(πn/4)u(n) and the system is initially at rest? |
| A. | 13.56cos(πn/4 -28.7o) |
| B. | 13.56cos(πn/4 +28.7o)u(n) |
| C. | 13.56cos(πn/4 -28.7o)u(n) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 8. |
What is the transient response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos(πn/4)u(n) and the system is initially at rest? |
| A. | (0.5)nu(n) |
| B. | 0.5(6.3)nu(n) |
| C. | 6.3(0.5)n |
| D. | 6.3(0.5)nu(n) |
| Answer» E. | |
| 9. |
If one or more poles are located near the unit circle, then the rate of decay of signal is _________ |
| A. | Slow |
| B. | Constant |
| C. | Rapid |
| D. | None of the mentioned |
| Answer» B. Constant | |
| 10. |
If all the poles have small magnitudes, then the rate of decay of signal is __________ |
| A. | Slow |
| B. | Constant |
| C. | Rapid |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 11. |
If pk, k=1,2,…N are the poles of the system and |pk| < 1 for all k, then the natural response of such a system is called as Transient response. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 12. |
If all the poles of H(z) are outside the unit circle, then the system is said to be _____________ |
| A. | Only causal |
| B. | Only BIBO stable |
| C. | BIBO stable and causal |
| D. | None of the mentioned |
| Answer» E. | |
| 13. |
What is the unit step response of the system described by the difference equation?y(n)=0.9y(n-1)-0.81y(n-2)+x(n) under the initial conditions y(-1)=y(-2)=0? |
| A. | [1.099+1.088(0.9)n.\(cos(\frac{\pi}{3} n+5.2^o)\)]u(n) |
| B. | [1.099+1.088(0.9)n.\(cos(\frac{\pi}{3} n-5.2^o)\)]u(n) |
| C. | [1.099+1.088(0.9)n.\(cos(\frac{\pi}{3} n-5.2^o)\)] |
| D. | None of the mentioned |
| Answer» C. [1.099+1.088(0.9)n.\(cos(\frac{\pi}{3} n-5.2^o)\)] | |
| 14. |
IF_ALL_THE_POLES_OF_H(Z)_ARE_INSIDE_THE_UNIT_CIRCLE,_THEN_THE_SYSTEM_IS_SAID_TO_BE:?$ |
| A. | Only causal |
| B. | Only BIBO stable |
| C. | BIBO stable and causal |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 15. |
A_LINEAR_TIME_INVARIANT_SYSTEM_IS_SAID_TO_BE_BIBO_STABLE_IF_AND_ONLY_IF_THE_ROC_OF_THE_SYSTEM_FUNCTION:?$ |
| A. | Includes unit circle |
| B. | Excludes unit circle |
| C. | Is an unit circle |
| D. | None of the mentioned |
| Answer» B. Excludes unit circle | |
| 16. |
A linear time invariant system is characterized by the system function H(z)=1/(1-0.5z-1 )+2/(1-3z-1 ).What is the ROC of H(z) if the system is causal?$ |
| A. | |z|<3 |
| B. | |z|>3 |
| C. | |z|<0.5 |
| D. | |z|>0.5 |
| Answer» C. |z|<0.5 | |
| 17. |
A linear time invariant system is characterized by the system function H(z)=1/(1-0.5z-1 )+2/(1-3z-1 ).What is the h(n) if the system is anti causal? |
| A. | (0.5)<sup>n</sup>u(n)+2(3)<sup>n</sup>u(n) |
| B. | (0.5)<sup>n</sup>u(-n-1)-2(3)<sup>n</sup>u(-n-1) |
| C. | -[(0.5)<sup>n</sup>+2(3)<sup>n</sup>]u(-n-1) |
| D. | (0.5)<sup>n</sup>u(n)-2(3)<sup>n</sup>u(-n-1) |
| Answer» D. (0.5)<sup>n</sup>u(n)-2(3)<sup>n</sup>u(-n-1) | |
| 18. |
If the ROC of the system function is the exterior of a circle of radius r < ‚àû, including the point z = ‚àû, then the system is said to be?# |
| A. | Stable |
| B. | Causal |
| C. | Anti causal |
| D. | None of the mentioned |
| Answer» C. Anti causal | |
| 19. |
What is the transient response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos(πn/4)u(n) and the system is initially at rest?$ |
| A. | (0.5)<sup>n</sup>u(n) |
| B. | 0.5(6.3)<sup>n</sup>u(n) |
| C. | 6.3(0.5)<sup>n</sup> |
| D. | 6.3(0.5)<sup>n</sup>u(n) |
| Answer» E. | |
| 20. |
If one or more poles are located near the unit circle , then the rate of decay of signal is: |
| A. | Slow |
| B. | Constant |
| C. | Rapid |
| D. | None of the mentioned |
| Answer» B. Constant | |
| 21. |
If all the poles have small magnitudes, then the rate of decay of signal is: |
| A. | Slow |
| B. | Constant |
| C. | Rapid |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 22. |
If pk, k=1,2,…N are the poles of the system and |pk| < 1 for all k, then the natural response of such a system is called as Transient response.$ |
| A. | True |
| B. | False |
| Answer» B. False | |
| 23. |
If all the poles of H(z) are outside the unit circle, then the system is said to be: |
| A. | Only causal |
| B. | Only BIBO stable |
| C. | BIBO stable and causal |
| D. | None of the mentioned |
| Answer» E. | |
| 24. |
What is the unit step response of the system described by the difference equation |
| A. | =0.9y(n-1)-0.81y(n-2)+x(n) under the initial conditions y(-1)=y(-2)=0? |
| B. | [1.099+1.088(0.9)<sup>n</sup>.cos(πn/3+5.2<sup>o</sup>)]u(n) |
| C. | [1.099+1.088(0.9)<sup>n</sup>.cos(πn/3-5.2<sup>o</sup>)]u(n) |
| D. | [1.099+1.088(0.9)<sup>n</sup>.cos(πn/3-5.2<sup>o</sup>)]. |
| Answer» C. [1.099+1.088(0.9)<sup>n</sup>.cos(‚âà√¨‚àö√ën/3-5.2<sup>o</sup>)]u(n) | |