Explore topic-wise MCQs in Signals & Systems Questions and Answers.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

The z-transform of cos(\(\frac{π}{3}\) n) u[n] is __________

A. \(\frac{z}{2} \frac{(2z-1)}{(z^2-z+1)}\), 0<|z|<1
B. \(\frac{z}{2} \frac{(2z-1)}{(z^2-z+1)}\), |z|>1
C. \(\frac{z}{2} \frac{(1-2z)}{(z^2-z+1)}\), 0<|z|<1
D. \(\frac{z}{2} \frac{(1-2z)}{(z^2-z+1)}\), |z|>1
Answer» C. \(\frac{z}{2} \frac{(1-2z)}{(z^2-z+1)}\), 0<|z|<1
Discussion
2.

The z-transform of \((\frac{2}{3})^{[n]}\) is ____________

A. \(\frac{-5z}{(2z-3)(3z-2)}\), –\(\frac{3}{2} \) < z < –\(\frac{2}{3}\)
B. \(\frac{-5z}{(2z-3)(3z-2)}\), \(\frac{2}{3}\) < |z| < \(\frac{3}{2} \)
C. \(\frac{5z}{(2z-3)(3z-2)}\), \(\frac{2}{3}\) < |z|
D. \(\frac{5z}{(2z-3)(3z-2)}\), –\(\frac{3}{2} \) < z< –\(\frac{2}{3}\)
Answer» C. \(\frac{5z}{(2z-3)(3z-2)}\), \(\frac{2}{3}\) < |z|
Discussion
3.

The z-transform of 3n u[-n-1] is ___________

A. \(\frac{z}{3-z}\), |Z|>3
B. \(\frac{z}{3-z}\), |Z|<3
C. \(\frac{3}{3-z}\), |Z|>3
D. \(\frac{3}{3-z}\), |Z|<3
Answer» C. \(\frac{3}{3-z}\), |Z|>3
Discussion
4.

The z-transform of \((\frac{1}{4})^4\) u[-n] is ___________

A. \(\frac{4z}{4z-1}\), |Z|>\(\frac{1}{4}\)
B. \(\frac{4z}{4z-1}\), |Z|<\(\frac{1}{4}\)
C. \(\frac{1}{1-4z}\), |Z|>\(\frac{1}{4}\)
D. \(\frac{1}{1-4z}\), |Z|<\(\frac{1}{4}\)
Answer» E.
Discussion
5.

The z-transform of \((\frac{1}{4})^n\) (u[n] – u[n-5]) is __________

A. \(\frac{z^5 – 0.25^5}{z^4 (z-0.25)}\), z>0.25
B. \(\frac{z^5 – 0.25^5}{z^4 (z-0.25)}\), z>0
C. \(\frac{z^5 – 0.25^5}{z^3 (z-0.25)}\), z<0.25
D. \(\frac{z^5 – 0.25^5}{z^4 (z-0.25)}\), all z
Answer» E.
Discussion
6.

The z-transform of δ[n+k]>0 is __________

A. Z-k, Z≠0
B. Zk, Z≠0
C. Z-k, all Z
D. Zk, all Z
Answer» E.
Discussion
7.

The z-transform of δ[n-k]>0 is __________

A. Zk, Z>0
B. Z-k, Z>0
C. Zk, Z≠0
D. Z-k, Z≠0
Answer» E.
Discussion