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 discrete time Fourier coefficient of cos2(\(\frac{π}{8}\) n) is ______________

A. \(\frac{π}{2}\)(δ(k+1] + 2δ[k] + δ[k-1])
B. \(\frac{1}{4}\)j(δ(k+1] + 2δ[k] + δ[k-1])
C. \(\frac{1}{4}\)(δ(k+1] + 2δ[k] + δ[k-1])
D. \(\frac{π}{4}\)(δ(k+1] + 2δ[k] + δ[k-1])
Answer» D. \(\frac{π}{4}\)(δ(k+1] + 2δ[k] + δ[k-1])
Discussion
2.

The discrete time Fourier coefficients of \(∑_{m=-∞}^∞ δ[n-4m]\) is ____________

A. –\(\frac{1}{4}\) for all k
B. \(\frac{1}{4}\) for all k
C. –\(\frac{1}{2}\) for all k
D. \(\frac{1}{2}\) for all k
Answer» C. –\(\frac{1}{2}\) for all k
Discussion
3.

The Fourier series coefficient of the signal y(t) = \(\frac{d^2 x(t)}{dt^2}\) is _____________

A. \((\frac{2πk}{T})^2 X[k]\)
B. –\((\frac{2πk}{T})^2 X[k]\)
C. j\((\frac{2πk}{T})^2 X[k]\)
D. -j\((\frac{2πk}{T})^2 X[k]\)
Answer» C. j\((\frac{2πk}{T})^2 X[k]\)
Discussion
4.

The Fourier series coefficient of the signal y(t) = x(t-t0) + x(t+t0) is _____________

A. 2 cos (\(\frac{2π}{t}\) kt0) X[k]
B. 2 sin (\(\frac{2π}{t}\) kt0) X[k]
C. 2 cos (\(\frac{2π}{t}\) kt0)
D. 2 sin (\(\frac{2π}{t}\) kt0)
Answer» B. 2 sin (\(\frac{2π}{t}\) kt0) X[k]
Discussion
5.

The Fourier series coefficient of time domain signal x (t) is X[k] = \((-\frac{1}{3})^{|k|}\). The fundamental frequency of signal is ω=1. The signal is _____________

A. \(\frac{4}{5 + 3 sin⁡}\)
B. \(\frac{5}{4 + 3 sin⁡t}\)
C. \(\frac{5}{4 + 3 cos⁡t}\)
D. \(\frac{4}{5 + 3 sin⁡t}\)
Answer» E.
Discussion
6.

The Fourier series coefficient for the periodic signal x(t) = sin2t is _____________

A. –\(\frac{1}{4}\) δ[k-1] + \(\frac{1}{2}\) δ[k] – \(\frac{1}{4}\) δ[k+1]
B. –\(\frac{1}{4}\) δ[k-2] + \(\frac{1}{2}\) δ[k] – \(\frac{1}{4}\) δ[k+2]
C. –\(\frac{1}{2}\) δ[k-1] + δ[k] – \(\frac{1}{2}\) δ[k+1]
D. –\(\frac{1}{2}\) δ[k-2] + δ[k] – \(\frac{1}{2}\) δ[k+2]
Answer» B. –\(\frac{1}{4}\) δ[k-2] + \(\frac{1}{2}\) δ[k] – \(\frac{1}{4}\) δ[k+2]
Discussion
7.

The Fourier series coefficient for the signal 10δ(t) is ___________

A. 1
B. Cos (\(\frac{π}{2}\) k)
C. sin (\(\frac{π}{2}\) k)
D. 2
Answer» E.
Discussion