MCQOPTIONS
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MCQOPTIONS
This section includes 15 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 step response of the system y(n)=ay(n-1)+x(n) -1 |
| A. | \(\frac{1}{1-a}\)(1+an+2)u(n) |
| B. | \(\frac{1}{1+a}\)(1+an+2)u(n) |
| C. | \(\frac{1}{1-a}\)(1-an+2)u(n) |
| D. | \(\frac{1}{1+a}\)(1-an+2)u(n) |
| Answer» D. \(\frac{1}{1+a}\)(1-an+2)u(n) | |
| 2. |
The impulse response of a relaxed LTI system is h(n)=anu(n), |a|<1. What is the value of the step response of the system as n→∞? |
| A. | \(\frac{1}{1+a}\) |
| B. | \(\frac{1}{1-a}\) |
| C. | \(\frac{a}{1+a}\) |
| D. | \(\frac{a}{1-a}\) |
| Answer» C. \(\frac{a}{1+a}\) | |
| 3. |
If X+(z) is the one sided z-transform of the signal x(n), then \(\lim_{n \rightarrow \infty} x(n)=\lim_{z\rightarrow 1}(z-1) X^+(z)\) is called Final value theorem. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 4. |
If x(n)=an, then what is one sided z-transform of x(n+2)? |
| A. | \(\frac{z^{-2}}{1-az^{-1}}\) + a-1z-1 + a-2 |
| B. | \(\frac{z^{-2}}{1-az^{-1}}\) – a-1z-1 + a-2 |
| C. | \(\frac{z^2}{1-az^{-1}}\) + a z + z2 |
| D. | \(\frac{z^2}{1+az^{-1}}\) – z2 – az |
| Answer» E. | |
| 5. |
If x(n)=an, then what is one sided z-transform of x(n-2)? |
| A. | \(\frac{z^{-2}}{1-az^{-1}} + a^{-1}z^{-1} + a^{-2}\) |
| B. | \(\frac{z^{-2}}{1-az^{-1}} – a^{-1}z^{-1} + a^{-2}\) |
| C. | \(\frac{z^{-2}}{1-az^{-1}} + a^{-1}z^{-1} – a^{-2}\) |
| D. | \(\frac{z^{-2}}{1+az^{-1}} + a^{-1}z^{-1} + a^{-2}\) |
| Answer» B. \(\frac{z^{-2}}{1-az^{-1}} – a^{-1}z^{-1} + a^{-2}\) | |
| 6. |
If X+(z) is the one sided z-transform of x(n), then what is the one sided z-transform of x(n-k)? |
| A. | z-k X+(z) |
| B. | zk X+(z-1) |
| C. | z-k \([X^+(z)+\sum_{n=1}^k x(-n)z^n]\); k>0 |
| D. | z-k \([X^+(z)+\sum_{n=0}^k x(-n)z^n]\); k>0 |
| Answer» D. z-k \([X^+(z)+\sum_{n=0}^k x(-n)z^n]\); k>0 | |
| 7. |
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 | |
| 8. |
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 | |
| 9. |
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. | |
| 10. |
The z-transform of a signal x(n) whose definition is given by \(X(z)=\sum_{n=0}^{\infty} x(n)z^{-n}\) is known as _____________ |
| A. | Unilateral z-transform |
| B. | Bilateral z-transform |
| C. | Rational z-transform |
| D. | None of the mentioned |
| Answer» B. Bilateral z-transform | |
| 11. |
THE_IMPULSE_RESPONSE_OF_A_RELAXED_LTI_SYSTEM_IS_H(N)=ANU(N),|A|<1._WHAT_IS_THE_VALUE_OF_THE_STEP_RESPONSE_OF_THE_SYSTEM_AS_N‚ÄÖ√Ñ√∂‚ÀÖ√∫‚Àւ†‚ÄÖ√Ñ√∂‚ÀւĆ‚ÀÖ¬™??$# |
| A. | 1/(1+a) |
| B. | 1/(1-a) |
| C. | a/(1+a) |
| D. | a/(1-a) |
| Answer» C. a/(1+a) | |
| 12. |
IF_X+(Z)_IS_THE_ONE_SIDED_Z-TRANSFORM_OF_THE_SIGNAL_X(N),_THEN_LIM‚ÄÖ√Ñ√∂‚ÀÖ√ܬ¨¬Æ(N‚ÄÖ√Ñ√∂‚ÀÖ√∫‚Àւ†‚ÄÖ√Ñ√∂‚ÀւĆ‚ÀÖ¬™)X(N)=LIM‚ÄÖ√Ñ√∂‚ÀÖ√ܬ¨¬Æ(Z‚ÄÖ√Ñ√∂‚ÀÖ√∫‚Àւ†1)(Z-1)_X+_(Z)_IS_CALLED_FINAL_VALUE_THEOREM.?$# |
| A. | True |
| B. | False |
| Answer» B. False | |
| 13. |
What is the one sided z-transform of x(n)=δ(n-k)?$ |
| A. | z<sup>-k</sup> |
| B. | z<sup>k</sup> |
| C. | 0 |
| D. | 1 |
| Answer» B. z<sup>k</sup> | |
| 14. |
What is the one sided z-transform X+(z) of the signal x(n)={1,2,5,7,0,1}? |
| A. | z<sup>2</sup>+2z+5+7z<sup>-1</sup>+z<sup>-3</sup> |
| B. | 5+7z+z<sup>3</sup> |
| C. | z<sup>-2</sup>+2z<sup>-1</sup>+5+7z+z<sup>3</sup> |
| D. | 5+7z<sup>-1</sup>+z<sup>-3</sup> |
| Answer» E. | |
| 15. |
For what kind of signals one sided z-transform is unique? |
| A. | All signals |
| B. | Anti-causal signal |
| C. | Causal signal |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |