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

This section includes 9 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.

Given x (t) = 1, |t|

A. \(\frac{T_1}{T_0}\)
B. \(\frac{2T_1}{T_0}\)
C. \(\frac{T_1}{2T_0}\)
D. \(\frac{T_0}{T_1}\)
Answer» C. \(\frac{T_1}{2T_0}\)
Discussion
2.

The Inverse Fourier transform of the signal 2πδ(ω) + πδ(ω-4π) + πδ(ω+4π) is ______________

A. 2π(1 – cos 4πt)
B. π (1 – cos 4πt)
C. 1 + cos 4πt
D. 2 π (1 + cos 4πt)
Answer» D. 2 π (1 + cos 4πt)
Discussion
3.

The Fourier transform of the signal u(t+1) – 2u(t) + u(t-1) is ____________

A. \(\frac{2 sin⁡ω-2}{jω}\)
B. \(\frac{2 cos⁡ω-2}{jω}\)
C. \(\frac{2 cos⁡ω+2}{jω}\)
D. \(\frac{2 sin⁡ω+2}{jω}\)
Answer» C. \(\frac{2 cos⁡ω+2}{jω}\)
Discussion
4.

The Fourier transform of the signal e-|t| in [-2,2] is _____________

A. \(\frac{2 + 2e^{-2} cos⁡2ω + 2ωe^{-2} \,sin⁡2ω}{1-ω^2}\)
B. \(\frac{2 – 2e^{-2} cos⁡2ω – 2ωe^{-2} \,sin⁡2ω}{1+ω^2}\)
C. \(\frac{2 – 2e^{-2} cos⁡2ω + 2ωe^{-2} \,sin⁡2ω}{1+ω^2}\)
D. \(\frac{2 + 2e^{-2} cos⁡2ω + 2ωe^{-2} \,sin⁡2ω}{1-ω^2}\)
Answer» D. \(\frac{2 + 2e^{-2} cos⁡2ω + 2ωe^{-2} \,sin⁡2ω}{1-ω^2}\)
Discussion
5.

The Fourier transform of the signal \(\frac{1}{a^2+w^2}\) is _____________

A. \(\frac{π}{a} e^{a|ω|}\)
B. \(\frac{π}{a} e^{-a|ω|}\)
C. \(\frac{2}{a} e^{-a|ω|}\)
D. \(\frac{π}{a} e^{a|ω|}\)
Answer» C. \(\frac{2}{a} e^{-a|ω|}\)
Discussion
6.

The Fourier transform of the signal sin(2πt) e-t u (t) is ____________

A. \(\frac{1}{2j} \left(\frac{1}{1+j(ω-2π)} + \frac{1}{1+j(ω+2π)}\right)\)
B. \(\frac{1}{2j} \left(\frac{1}{1+j(ω-2π)} – \frac{1}{1+j(ω+2π)}\right)\)
C. \(\frac{1}{2j} \left(\frac{1}{1+j(ω+2π)} – \frac{1}{1+j(ω-2π)}\right)\)
D. \(\frac{1}{j} \left(\frac{1}{1+j(ω+2π)} – \frac{1}{1+j(ω-2π)}\right)\)
Answer» C. \(\frac{1}{2j} \left(\frac{1}{1+j(ω+2π)} – \frac{1}{1+j(ω-2π)}\right)\)
Discussion
7.

For a periodic signal () = 30 sin 1000 + 10 cos 3000 + 6 sin(5000 + 4), the fundamental frequency in rad/s is __________

A. 1000
B. 3000
C. 5000
D. 15000
Answer» B. 3000
Discussion
8.

The Fourier transform of the signal \(∑_{m=0}^∞ a^m δ(t-m)\) is _____________

A. \(\frac{1}{1+ae^{-jω}}\)
B. \(\frac{1}{1+ae^{jω}}\)
C. \(\frac{1}{1-ae^{jω}}\)
D. \(\frac{1}{1-ae^{-jω}}\)
Answer» E.
Discussion
9.

The Fourier transform of the signal δ(t+1) + δ(t-1) is ____________

A. \(\frac{2}{1+jω}\)
B. \(\frac{2}{1-jω}\)
C. 2 cos ω
D. 2 sin ω
Answer» D. 2 sin ω
Discussion