MCQOPTIONS
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MCQOPTIONS
This section includes 9 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<1, when the initial condition is y(-1)=1? |
| A. | ( frac{1}{1-a} )(1+a<sup>n+2</sup>)u(n) |
| B. | ( frac{1}{1+a} )(1+a<sup>n+2</sup>)u(n) |
| C. | ( frac{1}{1-a} )(1-a<sup>n+2</sup>)u(n) |
| D. | ( frac{1}{1+a} )(1-a<sup>n+2</sup>)u(n) |
| Answer» D. ( frac{1}{1+a} )(1-a<sup>n+2</sup>)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<sup>-1</sup>z<sup>-1</sup> + a<sup>-2</sup> |
| B. | ( frac{z^{-2}}{1-az^{-1}} ) a<sup>-1</sup>z<sup>-1</sup> + a<sup>-2</sup> |
| C. | ( frac{z^2}{1-az^{-1}} ) + a z + z<sup>2</sup> |
| D. | ( frac{z^2}{1+az^{-1}} ) z<sup>2</sup> 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<sup>-k</sup> X<sup>+</sup>(z) |
| B. | z<sup>k</sup> X<sup>+</sup>(z<sup>-1</sup>) |
| C. | z<sup>-k</sup> ([X^+(z)+ sum_{n=1}^k x(-n)z^n] ); k>0 |
| D. | z<sup>-k</sup> ([X^+(z)+ sum_{n=0}^k x(-n)z^n] ); k>0 |
| Answer» D. z<sup>-k</sup> ([X^+(z)+ sum_{n=0}^k x(-n)z^n] ); k>0 | |
| 7. |
What is the one sided z-transform of x(n)= (n+k)? |
| A. | z<sup>-k</sup> |
| B. | 0 |
| C. | z<sup>k</sup> |
| D. | 1 |
| Answer» C. z<sup>k</sup> | |
| 8. |
What is the one sided z-transform of x(n)= (n-k)? |
| A. | z<sup>-k</sup> |
| B. | z<sup>k</sup> |
| C. | 0 |
| D. | 1 |
| Answer» B. z<sup>k</sup> | |
| 9. |
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 | |