Explore topic-wise MCQs in Digital Signal Processing.

This section includes 15 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 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)
Discussion
2.

The impulse response of a relaxed LTI system is h(n)=anu(n), |a|

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

If X+(z) is the one sided z-transform of x(n), then what is the one sided z-transform of x(n-k)?

A. z-k X+(z)
B. zk X+(z-1)
C. z-k \([X^+(z)+\sum_{n=1}^k x(-n)z^n]\); k>0
D. z-k \([X^+(z)+\sum_{n=0}^k x(-n)z^n]\); k>0
Answer» D. z-k \([X^+(z)+\sum_{n=0}^k x(-n)z^n]\); k>0
Discussion
7.

What is the one sided z-transform of x(n)=δ(n+k)?

A. z-k
B. 0
C. zk
D. 1
Answer» C. zk
Discussion
8.

What is the one sided z-transform of x(n)=δ(n-k)?

A. z-k
B. zk
C. 0
D. 1
Answer» B. zk
Discussion
9.

What is the one sided z-transform X+(z) of the signal x(n)={1,2,5,7,0,1}?

A. z2+2z+5+7z-1+z-3
B. 5+7z+z3
C. z-2+2z-1+5+7z+z3
D. 5+7z-1+z-3
Answer» E.
Discussion
10.

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
Discussion
11.

THE_IMPULSE_RESPONSE_OF_A_RELAXED_LTI_SYSTEM_IS_H(N)=ANU(N),|A|

A. 1/(1+a)
B. 1/(1-a)
C. a/(1+a)
D. a/(1-a)
Answer» C. a/(1+a)
Discussion
12.

IF_X+(Z)_IS_THE_ONE_SIDED_Z-TRANSFORM_OF_THE_SIGNAL_X(N),_THEN_LIM‚ÄÖ√Ñ√∂‚ÀÖ√ܬ¨¬Æ(N‚ÄÖ√Ñ√∂‚ÀÖ√∫‚Àւ†‚ÄÖ√Ñ√∂‚ÀւĆ‚ÀÖ¬™)X(N)=LIM‚ÄÖ√Ñ√∂‚ÀÖ√ܬ¨¬Æ(Z‚ÄÖ√Ñ√∂‚ÀÖ√∫‚Àւ†1)(Z-1)_X+_(Z)_IS_CALLED_FINAL_VALUE_THEOREM.?$#

A. True
B. False
Answer» B. False
Discussion
13.

What is the one sided z-transform of x(n)=δ(n-k)?$

A. z<sup>-k</sup>
B. z<sup>k</sup>
C. 0
D. 1
Answer» B. z<sup>k</sup>
Discussion
14.

What is the one sided z-transform X+(z) of the signal x(n)={1,2,5,7,0,1}?

A. z<sup>2</sup>+2z+5+7z<sup>-1</sup>+z<sup>-3</sup>
B. 5+7z+z<sup>3</sup>
C. z<sup>-2</sup>+2z<sup>-1</sup>+5+7z+z<sup>3</sup>
D. 5+7z<sup>-1</sup>+z<sup>-3</sup>
Answer» E.
Discussion
15.

For what kind of signals one sided z-transform is unique?

A. All signals
B. Anti-causal signal
C. Causal signal
D. None of the mentioned
Answer» D. None of the mentioned
Discussion