Explore topic-wise MCQs in Digital Signal Processing Questions and Answers.

This section includes 6 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

What is the step response of the system y(n)=ay(n-1)+x(n) -1

A. \(\frac{1}{1-a}\)(1+an+2)u(n)
B. \(\frac{1}{1+a}\)(1+an+2)u(n)
C. \(\frac{1}{1-a}\)(1-an+2)u(n)
D. \(\frac{1}{1+a}\)(1-an+2)u(n)
Answer» D. \(\frac{1}{1+a}\)(1-an+2)u(n)
2.

The impulse response of a relaxed LTI system is h(n)=anu(n), |a|<1. What is the value of the step response of the system as n→∞?

A. \(\frac{1}{1+a}\)
B. \(\frac{1}{1-a}\)
C. \(\frac{a}{1+a}\)
D. \(\frac{a}{1-a}\)
Answer» C. \(\frac{a}{1+a}\)
3.

If X+(z) is the one sided z-transform of the signal x(n), then \(\lim_{n \rightarrow \infty} x(n)=\lim_{z\rightarrow 1}(z-1) X^+(z)\) is called Final value theorem.

A. True
B. False
Answer» B. False
4.

If x(n)=an, then what is one sided z-transform of x(n+2)?

A. \(\frac{z^{-2}}{1-az^{-1}}\) + a-1z-1 + a-2
B. \(\frac{z^{-2}}{1-az^{-1}}\) – a-1z-1 + a-2
C. \(\frac{z^2}{1-az^{-1}}\) + a z + z2
D. \(\frac{z^2}{1+az^{-1}}\) – z2 – az
Answer» E.
5.

If x(n)=an, then what is one sided z-transform of x(n-2)?

A. \(\frac{z^{-2}}{1-az^{-1}} + a^{-1}z^{-1} + a^{-2}\)
B. \(\frac{z^{-2}}{1-az^{-1}} – a^{-1}z^{-1} + a^{-2}\)
C. \(\frac{z^{-2}}{1-az^{-1}} + a^{-1}z^{-1} – a^{-2}\)
D. \(\frac{z^{-2}}{1+az^{-1}} + a^{-1}z^{-1} + a^{-2}\)
Answer» B. \(\frac{z^{-2}}{1-az^{-1}} – a^{-1}z^{-1} + a^{-2}\)
6.

The z-transform of a signal x(n) whose definition is given by \(X(z)=\sum_{n=0}^{\infty} x(n)z^{-n}\) is known as _____________

A. Unilateral z-transform
B. Bilateral z-transform
C. Rational z-transform
D. None of the mentioned
Answer» B. Bilateral z-transform