Explore topic-wise MCQs in Digital Signal Processing.

This section includes 10 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 ROC of a causal infinite length sequence?

A. |z|&lt;r<sub>1</sub>
B. |z|&gt;r<sub>1</sub>
C. r<sub>2</sub>&lt;|z|&lt;r<sub>1</sub>
D. None of the mentioned
Answer» C. r<sub>2</sub>&lt;|z|&lt;r<sub>1</sub>
2.

Is the discrete time LTI system with impulse response h(n)=an(n) (|a| < 1) BIBO stable?

A. True
B. False
Answer» B. False
3.

The z-transform of a sequence x(n) which is given as X(z)= ( sum_{n=- infty}^{ infty}x(n)z^{-n} ) is known as _____________

A. Uni-lateral Z-transform
B. Bi-lateral Z-transform
C. Tri-lateral Z-transform
D. None of the mentioned
Answer» C. Tri-lateral Z-transform
4.

What is the ROC of z-transform of an two sided infinite sequence?

A. |z|&gt;r<sub>1</sub>
B. |z|&lt;r<sub>1</sub>
C. r<sub>2</sub>&lt;|z|&lt;r<sub>1</sub>
D. None of the mentioned
Answer» D. None of the mentioned
5.

What is the ROC of z-transform of finite duration anti-causal sequence?

A. z=0
B. z=
C. Entire z-plane, except at z=0
D. Entire z-plane, except at z=
Answer» E.
6.

What is the ROC of the z-transform of the signal x(n)= anu(n)+bnu(-n-1)?

A. |a|&lt;|z|&lt;|b|
B. |a|&gt;|z|&gt;|b|
C. |a|&gt;|z|&lt;|b|
D. |a|&lt;|z|&gt;|b|
Answer» B. |a|&gt;|z|&gt;|b|
7.

What is the z-transform of the signal x(n) = - nu(-n-1)?

A. ( frac{1}{1- alpha z^{-1}} );ROC |z|&lt;| |
B. (- frac{1}{1+ alpha z^{-1}} );ROC |z|&lt;| |
C. (- frac{1}{1- alpha z^{-1}} );ROC |z|&gt;| |
D. (- frac{1}{1- alpha z^{-1}} );ROC |z|&lt;| |
Answer» E.
8.

What is the z-transform of the signal x(n)=(0.5)nu(n)?

A. ( frac{1}{1-0.5z^{-1}};ROC |z|&gt;0.5 )
B. ( frac{1}{1-0.5z^{-1}};ROC |z|&lt;0.5 )
C. ( frac{1}{1+0.5z^{-1}};ROC |z|&gt;0.5 )
D. ( frac{1}{1+0.5z^{-1}};ROC |z|&lt;0.5 )
Answer» B. ( frac{1}{1-0.5z^{-1}};ROC |z|&lt;0.5 )
9.

What is the ROC of the signal x(n)= (n-k), k>0?

A. z=0
B. z=
C. Entire z-plane, except at z=0
D. Entire z-plane, except at z=
Answer» D. Entire z-plane, except at z=
10.

The Z-Transform X(z) of a discrete time signal x(n) is defined as ____________

A. ( sum_{n=- infty}^{ infty}x(n)z^n )
B. ( sum_{n=- infty}^{ infty}x(n)z^{-n} )
C. ( sum_{n=0}^{ infty}x(n)z^n )
D. None of the mentioned
Answer» C. ( sum_{n=0}^{ infty}x(n)z^n )