MCQOPTIONS
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MCQOPTIONS
This section includes 23 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. |
The ROC of z-transform of any signal cannot contain poles. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 2. |
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 | |
| 3. |
Is the discrete time LTI system with impulse response h(n)=an(n) (|a| < 1) BIBO stable? |
| A. | True |
| B. | False |
| Answer» B. False | |
| 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. |
The z-transform X(z) of the signal x(n)=anu(n) has: |
| A. | One pole at z=0 and one zero at z=a |
| B. | One pole at z=0 and one zero at z=0 |
| C. | One pole at z=a and one zero at z=a |
| D. | One pole at z=a and one zero at z=0 |
| Answer» E. | |
| 6. |
What is the one sided z-transform X+(z) of the signal x(n)={1,2,5,7,0,1}? |
| A. | z2+2z+5+7z-1+z-3 |
| B. | 5+7z+z3 |
| C. | z-2+2z-1+5+7z+z3 |
| D. | 5+7z-1+z-3 |
| Answer» E. | |
| 7. |
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 | |
| 8. |
What is the unit step response of the system described by the difference equationy(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(πn/3+5.2o)]u(n) |
| B. | [1.099+1.088(0.9)n.cos(πn/3-5.2o)]u(n) |
| C. | [1.099+1.088(0.9)n.cos(πn/3-5.2o)]. |
| D. | None of the mentioned |
| Answer» C. [1.099+1.088(0.9)n.cos(πn/3-5.2o)]. | |
| 9. |
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)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) | |
| 10. |
Sampling rate conversion by the rational factor I/D is accomplished by what connection of interpolator and decimator? |
| A. | Parallel |
| B. | Cascade |
| C. | Convolution |
| D. | None of the mentioned |
| Answer» C. Convolution | |
| 11. |
What is the z-transform of the signal x(n)=[3(2n)-4(3n)]u(n)? |
| A. | 3/(1-2z-1)-4/(1-3z-1) |
| B. | 3/(1+2z-1)-4/(1+3z-1) |
| C. | 3/(1-2z)-4/(1-3z) |
| D. | None of the mentioned |
| Answer» B. 3/(1+2z-1)-4/(1+3z-1) | |
| 12. |
The Nth root of unity WN is given as: |
| A. | ej2πN |
| B. | e-j2πN |
| C. | e-j2π/N |
| D. | ej2π/N |
| Answer» D. ej2π/N | |
| 13. |
What are the values of z for which the value of X(z)=∞? |
| A. | Poles |
| B. | Zeros |
| C. | Solutions |
| D. | None of the mentioned |
| Answer» B. Zeros | |
| 14. |
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 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. | |
| 15. |
What is the one sided z-transform of x(n)=δ(n-k)? |
| A. | z-k |
| B. | zk |
| C. | 0 |
| D. | 1 |
| Answer» B. zk | |
| 16. |
Which of the following justifies the linearity property of z-transform?[x(n)↔X(z)]. |
| A. | x(n)+y(n) ↔X(z)Y(z) |
| B. | x(n)+y(n) ↔X(z)+Y(z) |
| C. | x(n)y(n) ↔X(z)+Y(z) |
| D. | x(n)y(n) ↔X(z)Y(z) |
| Answer» C. x(n)y(n) ↔X(z)+Y(z) | |
| 17. |
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. | |
| 18. |
What is the ROC of the system function H(z) if the discrete time LTI system is BIBO stable? |
| A. | Entire z-plane, except at z=0 |
| B. | Entire z-plane, except at z=∞ |
| C. | Contain unit circle |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 19. |
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 | |
| 20. |
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 | |
| 21. |
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 | |
| 22. |
What is the one sided z-transform of x(n)=δ(n+k)? |
| A. | z-k |
| B. | 0 |
| C. | zk |
| D. | 1 |
| Answer» C. zk | |
| 23. |
Which of the following has to be performed in sampling rate conversion by rational factor? |
| A. | Interpolation |
| B. | Decimation |
| C. | Either interpolation or decimation |
| D. | None of the mentioned |
| Answer» B. Decimation | |