MCQOPTIONS
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MCQOPTIONS
This section includes 6 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. |
If x(n) is the input signal of a system with impulse response h(n) and y(n) is the output signal, then the auto correlation of the signal y(n) is? |
| A. | r<sub>xx</sub>(l)*r<sub>hh</sub>(l) |
| B. | r<sub>hh</sub>(l)*r<sub>xx</sub>(l) |
| C. | r<sub>xy</sub>(l)*r<sub>hh</sub>(l) |
| D. | r<sub>yx</sub>(l)*r<sub>hh</sub>(l) |
| Answer» C. r<sub>xy</sub>(l)*r<sub>hh</sub>(l) | |
| 2. |
What is the auto correlation of the sequence x(n)=anu(n), 0<a<l? |
| A. | ( frac{1}{1-a^2} ) a<sup>l</sup> (l 0) |
| B. | ( frac{1}{1-a^2} ) a<sup>-l</sup> (l<0) |
| C. | ( frac{1}{1-a^2} ) a<sup>|l|</sup>(- <l< ) |
| D. | All of the mentioned |
| Answer» E. | |
| 3. |
Auto correlation sequence is an even function. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 4. |
The normalized auto correlation xx(l) is defined as _____________ |
| A. | ( frac{r_{xx}(l)}{r_{xx}(0)} ) |
| B. | ( frac{r_{xx}(l)}{r_{xx}(0)} ) |
| C. | ( frac{r_{xx}(l)}{r_{xy}(0)} ) |
| D. | None of the mentioned |
| Answer» B. ( frac{r_{xx}(l)}{r_{xx}(0)} ) | |
| 5. |
What is the cross correlation sequence of the following sequences?
|
| A. | ny(n)={ .0,0,1,-1,2,-2,<strong>4</strong>,1,-2,5,0,0 .} |
| B. | {10,9,19,36,-14,33,0,<strong>7</strong>,13,-18,16,7,5,-3} |
| C. | {10,-9,19,36,-14,33,0,<strong>7</strong>,13,-18,16,-7,5,-3} |
| D. | {10,9,19,36,14,33,0,<strong>-7</strong>,13,-18,16,-7,5,-3} |
| E. | {10,-9,19,36,-14,33,0,<strong>-7</strong>,13,18,16,7,5,-3} |
| Answer» C. {10,-9,19,36,-14,33,0,<strong>7</strong>,13,-18,16,-7,5,-3} | |
| 6. |
The cross correlation of two real finite energy sequences x(n) and y(n) is given as __________ |
| A. | (r_{xy}(l)= sum_{n=- infty}^{ infty}x(n)y(n-l) ) where l=0, 1, 2, |
| B. | (r_{xy}(l)= sum_{n=0}^{ infty}x(n)y(n-l) ) where l=0, 1, 2, |
| C. | (r_{xy}(l)= sum_{n=- infty}^{ infty}x(n)y(n-l) ) where - <l< |
| D. | none of the mentioned |
| Answer» B. (r_{xy}(l)= sum_{n=0}^{ infty}x(n)y(n-l) ) where l=0, 1, 2, | |