Explore topic-wise MCQs in Digital Signal Processing.

This section includes 13 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 system function of the system described by the difference equation y(n)=0.5y(n-1)+2x(n)?

A. \(\frac{2}{1+0.5z^{-1}}\)
B. \(\frac{0.5}{1+2z^{-1}}\)
C. \(\frac{0.5}{1-2z^{-1}}\)
D. \(\frac{2}{1-0.5z^{-1}}\)
Answer» E.
Discussion
2.

If Y(z) is the z-transform of the output function, X(z) is the z-transform of the input function and H(z) is the z-transform of system function of the LTI system, then H(z)=?

A. \(\frac{Y(z)}{X(z)}\)
B. \(\frac{X(z)}{Y(z)}\)
C. Y(z).X(z)
D. None of the mentioned
Answer» B. \(\frac{X(z)}{Y(z)}\)
Discussion
3.

What is the nature of the signal whose pole-zero plot is as shown?

A. Rising signal
B. Constant signal
C. Decaying signal
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
4.

The z-transform X(z) of the signal x(n)=anu(n) has:

A. One pole at z=0 and one zero at z=a
B. One pole at z=0 and one zero at z=0
C. One pole at z=a and one zero at z=a
D. One pole at z=a and one zero at z=0
Answer» E.
Discussion
5.

Which of the following signals have a pole-zero plot as shown below?

A. a.u(n)
B. u(an)
C. anu(n)
D. none of the mentioned
Answer» D. none of the mentioned
Discussion
6.

What are the values of z for which the value of X(z)=∞?

A. Poles
B. Zeros
C. Solutions
D. None of the mentioned
Answer» B. Zeros
Discussion
7.

WHAT_ARE_THE_VALUES_OF_Z_FOR_WHICH_THE_VALUE_OF_X(Z)=0??$

A. Poles
B. Zeros
C. Solutions
D. None of the mentioned
Answer» C. Solutions
Discussion
8.

If Y(z) is the z-transform of the output function, X(z) is the z-transform of the input function and H(z) is the z-transform of system function of the LTI system, then H(z)=?$

A. (Y(z))/(X(z))
B. (X(z))/(Y(z))
C. Y(z).X(z)
D. None of the mentioned
Answer» B. (X(z))/(Y(z))
Discussion
9.

What is the unit sample response of the system described by the difference equation y(n)=0.5y(n-1)+2x(n)?

A. 0.5(2)<sup>n</sup>u(n)
B. 2(0.5)<sup>n</sup>u(n)
C. 0.5(2)<sup>n</sup>u(-n)
D. 2(0.5)<sup>n</sup>u(-n)
Answer» C. 0.5(2)<sup>n</sup>u(-n)
Discussion
10.

The z-transform X(z) of the signal x(n)=anu(n) has:

A. One pole at z=0 and one zero at z=a
B. One pole at z=0 and one zero at z=0
C. One pole at z=a and one zero at z=a
D. One pole at z=a and one zero at z=0
Answer» E.
Discussion
11.

If X(z) has M finite zeros and N finite poles, then which of the following condition is true?

A. |N-M| poles at origin(if N>M)
B. |N+M| zeros at origin(if N>M)
C. |N+M| poles at origin(if N>M)
D. |N-M| zeros at origin(if N>M)
Answer» E.
Discussion
12.

What are the values of z for which the value of X(z)=‚àû?$

A. Poles
B. Zeros
C. Solutions
D. None of the mentioned
Answer» B. Zeros
Discussion
13.

What are the values of z for which the value of X(z)=0?

A. Poles
B. Zeros
C. Solutions
D. None of the mentioned
Answer» C. Solutions
Discussion