Explore topic-wise MCQs in Digital Signal Processing.

This section includes 8 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 z-transform of the signal x(n)=nanu(n)?

A. ( frac{(az)^{-1}}{(1-(az)^{-1})^2} )
B. ( frac{az^{-1}}{(1-(az)^{-1})^2} )
C. ( frac{az^{-1}}{(1-az^{-1})^2} )
D. ( frac{az^{-1}}{(1+az^{-1})^2} )
Answer» D. ( frac{az^{-1}}{(1+az^{-1})^2} )
Discussion
2.

X(z) is the z-transform of the signal x(n), then what is the z-transform of the signal nx(n)?

A. (-z frac{dX(z)}{dz} )
B. (z frac{dX(z)}{dz} )
C. (-z^{-1} frac{dX(z)}{dz} )
D. (z^{-1} frac{dX(z)}{dz} )
Answer» B. (z frac{dX(z)}{dz} )
Discussion
3.

If X(z) is the z-transform of the signal x(n), then what is the z-transform of the signal x(-n)?

A. X(-z)
B. X(z<sup>-1</sup>)
C. X<sup>-1</sup>(z)
D. None of the mentioned
Answer» C. X<sup>-1</sup>(z)
Discussion
4.

What is the z-transform of the signal x(n)=an(sin 0n)u(n)?a) ( frac{az^{-1} sin omega_0}{1+2 az^{-1} cos omega_0+a^2 z^{-2}} )

A. ( frac{az^{-1} sin omega_0}{1-2 az^{-1} cos omega_0- a^2 z^{-2}} )
B. ( frac{(az)^{-1} cos omega_0}{1-2 az^{-1} cos omega_0+a^2 z^{-2}} )
C. ( frac{az^{-1} sin omega_0}{1-2 az^{-1} cos omega_0+a^2 z^{-2}} )
Answer» E.
Discussion
5.

If the ROC of X(z) is r1&lt;|z|&lt;r2, then what is the ROC of X(a-1z)?

A. |a|r<sub>1</sub>&lt;|z|&lt;|a|r<sub>2</sub>
B. |a|r<sub>1</sub>&gt;|z|&gt;|a|r<sub>2</sub>
C. |a|r<sub>1</sub>&lt;|z|&gt;|a|r<sub>2</sub>
D. |a|r<sub>1</sub>&gt;|z|&lt;|a|r<sub>2</sub>
Answer» B. |a|r<sub>1</sub>&gt;|z|&gt;|a|r<sub>2</sub>
Discussion
6.

What is the z-transform of the signal defined as x(n)=u(n)-u(n-N)?

A. ( frac{1+z^N}{1+z^{-1}} )
B. ( frac{1-z^N}{1+z^{-1}} )
C. ( frac{1+z^{-N}}{1+z^{-1}} )
D. ( frac{1-z^{-N}}{1-z^{-1}} )
Answer» E.
Discussion
7.

What is the z-transform of the signal x(n)=sin(j 0n)u(n)?

A. ( frac{z^{-1} sin omega_0}{1+2z^{-1} cos omega_0+z^{-2}} )
B. ( frac{z^{-1} sin omega_0}{1-2z^{-1} cos omega_0-z^{-2}} )
C. ( frac{z^{-1} cos omega_0}{1-2z^{-1} cos omega_0+z^{-2}} )
D. ( frac{z^{-1} sin omega_0}{1-2z^{-1} cos omega_0+z^{-2}} )
Answer» E.
Discussion
8.

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)
Discussion