Explore topic-wise MCQs in Digital Signal Processing.

This section includes 17 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 kind of relationship between Ω and ω?

A. Many-to-one
B. One-to-many
C. One-to-one
D. Many-to-many
Answer» D. Many-to-many
Discussion
2.

What is the expression for the digital frequency when r=1?

A. \(\frac{1}{T} tan⁡(\frac{ΩT}{2})\)
B. \(\frac{2}{T} tan⁡(\frac{ΩT}{2})\)
C. \(\frac{1}{T} tan^{-1}(\frac{ΩT}{2})\)
D. \(\frac{2}{T} tan^{-1}⁡(\frac{ΩT}{2})\)
Answer» E.
Discussion
3.

If s=σ+jΩ and z=rejω, then what is the condition on σ if r>1?

A. σ > 0
B. σ < 0
C. σ > 1
D. σ < 1
Answer» B. σ < 0
Discussion
4.

If s=σ+jΩ and z=rejω and r=1, then which of the following inference is correct?

A. LHS of the s-plane is mapped inside the circle, |z|=1
B. RHS of the s-plane is mapped outside the circle, |z|=1
C. Imaginary axis in the s-plane is mapped to the circle, |z|=1
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
5.

If s=σ+jΩ and z=rejω, then what is the condition on σ if r<1?

A. σ > 0
B. σ < 0
C. σ > 1
D. σ < 1
Answer» C. σ > 1
Discussion
6.

The equation s = \(\frac{2}{T}[\frac{1-z^{-1}}{1+z^{-1}}]\) is a true frequency-to-frequency transformation.

A. True
B. False
Answer» B. False
Discussion
7.

What is the expression for system function in z-domain?

A. \(\frac{2}{T}[\frac{1+z^{-1}}{1-z^1}]\)
B. \(\frac{2}{T}[\frac{1+z^{-1}}{1-z^1}]\)
C. \(\frac{T}{2}[\frac{1+z^{-1}}{1-z^1}]\)
D. \(\frac{T}{2}[\frac{1-z^{-1}}{1+z^{-1}}]\)
Answer» D. \(\frac{T}{2}[\frac{1-z^{-1}}{1+z^{-1}}]\)
Discussion
8.

What is the value of y(n)-y(n-1) in terms of input x(n)?

A. \([\frac{x(n)+x(n-1)}{2}]T\)
B. \([\frac{x(n)-x(n-1)}{2}]T\)
C. \([\frac{x(n)-x(n+1)}{2}]T\)
D. \([\frac{x(n)+x(n+1)}{2}]T\)
Answer» B. \([\frac{x(n)-x(n-1)}{2}]T\)
Discussion
9.

What is the value of \(\int_{(n-1)T}^{nT} x(t)dt\) according to trapezoidal rule?

A. \([\frac{x(nT)-x[(n-1)T]}{2}]T\)
B. \([\frac{x(nT)+x[(n-1)T]}{2}]T\)
C. \([\frac{x(nT)-x[(n+1)T]}{2}]T\)
D. \([\frac{x(nT)+x[(n+1)T]}{2}]T\)
Answer» C. \([\frac{x(nT)-x[(n+1)T]}{2}]T\)
Discussion
10.

Which of the following substitution is done in Bilinear transformations?

A. s = \(\frac{2}{T}[\frac{1+z^{-1}}{1-z^1}]\)
B. s = \(\frac{2}{T}[\frac{1+z^{-1}}{1+}]\)
C. s = \(\frac{2}{T}[\frac{1-z^{-1}}{1+z^{-1}}]\)
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
11.

IF_S=‚ÂÀ√¨‚ÀÖ√¢+J‚ÂÀ√≠¬¨¬©_AND_Z=REJ‚ÂÀ√¨‚ÀÖ¬¢,_THEN_WHAT_IS_THE_CONDITION_ON_‚ÂÀ√¨‚ÀÖ√¢_IF_R<1??$#

A. σ > 0
B. σ < 0
C. σ > 1
D. σ < 1
Answer» C. ‚âà√¨‚àö√¢ > 1
Discussion
12.

If s=σ+jΩ and z=rejω, then what is the condition on σ if r>1?$#

A. σ > 0
B. σ < 0
C. σ > 1
D. σ < 1
Answer» B. ‚âà√¨‚àö√¢ < 0
Discussion
13.

If_s=σ+jΩ_and_z=rejω_and_r=1,_then_which_of_the_following_inference_is_correct?$#

A. LHS of the s-plane is mapped inside the circle, |z|=1
B. RHS of the s-plane is mapped outside the circle, |z|=1
C. Imaginary axis in the s-plane is mapped to the circle, |z|=1
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
14.

What is the kind of relationship between Ω and ω?$

A. Many-to-one
B. One-to-many
C. One-to-one
D. Many-to-many
Answer» D. Many-to-many
Discussion
15.

In bilinear transformation, the left-half s-plane is mapped to which of the following in the z-domain?

A. Entirely outside the unit circle |z|=1
B. Partially outside the unit circle |z|=1
C. Partially inside the unit circle |z|=1
D. Entirely inside the unit circle |z|=1
Answer» E.
Discussion
16.

Which of the following rule is used in the bilinear transformation?

A. Simpson’s rule
B. Backward difference
C. Forward difference
D. Trapezoidal rule
Answer» E.
Discussion
17.

Bilinear Transformation is used for transforming an analog filter to a digital filter.

A. True
B. False
Answer» B. False
Discussion