Explore topic-wise MCQs in Digital Signal Processing.

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)
Discussion
2.

What is the auto correlation of the sequence x(n)=anu(n), 0&lt;a&lt;l?

A. ( frac{1}{1-a^2} ) a<sup>l</sup> (l 0)
B. ( frac{1}{1-a^2} ) a<sup>-l</sup> (l&lt;0)
C. ( frac{1}{1-a^2} ) a<sup>|l|</sup>(- &lt;l&lt; )
D. All of the mentioned
Answer» E.
Discussion
3.

Auto correlation sequence is an even function.

A. True
B. False
Answer» B. False
Discussion
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)} )
Discussion
5.

What is the cross correlation sequence of the following sequences?x(n)={ .0,0,2,-1,3,7,1,2,-3,0,0 .}

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}
Discussion
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 - &lt;l&lt;
D. none of the mentioned
Answer» B. (r_{xy}(l)= sum_{n=0}^{ infty}x(n)y(n-l) ) where l=0, 1, 2,
Discussion