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

This section includes 12 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 continuous time convolution integral y(t) = cos πt [u (t+1) – u (t-1) * u(t)] is __________

A. \(\frac{sin⁡πt}{π}\) [u (t+1) – u(t-1)]
B. \(\frac{sin⁡πt}{π}\) u(t-1)
C. \(\frac{sin⁡πt}{π}\) u(t+1)
D. \(\frac{sin⁡πt}{π}\) u(t)
Answer» B. \(\frac{sin⁡πt}{π}\) u(t-1)
2.

The impulse response of a continuous time LTI system is H (t) = e-t u (t-2). The system is __________

A. Causal and stable
B. Causal but not stable
C. Stable but not causal
D. Neither causal nor stable
Answer» B. Causal but not stable
3.

The impulse response of a continuous time LTI system is H (t) = e-t u (3-t). The system is __________

A. Causal and stable
B. Causal but not stable
C. Stable but not causal
D. Neither causal nor stable
Answer» E.
4.

The impulse response of a continuous time LTI system is H (t) = e-|t|. The system is ___________

A. Causal and stable
B. Causal but not stable
C. Stable but not causal
D. Neither causal nor stable
Answer» D. Neither causal nor stable
5.

The impulse response of a continuous time LTI system is \(H (t) = (2e^{-2t} -e^{\frac{t-100}{100}}) \,u (t)\). The system is ____________

A. Causal and stable
B. Causal but not stable
C. Stable but not causal
D. Neither causal nor stable
Answer» C. Stable but not causal
6.

For the system, \(y (t) = \int_{-∞}^{t+3} x(t) \,dt\), which of the following holds true?

A. System is Linear, time-invariant and causal
B. System is time-invariant and causal
C. System is Linear and time-invariant
D. System is Linear and stable
Answer» D. System is Linear and stable
7.

For the system, \(t\frac{dy (t)}{dt}\) – 8 y (t) = x (t), which of the following holds true?

A. System is Linear, time-invariant, causal and stable
B. System is Linear, time-invariant and causal
C. System is time-invariant, causal and stable
D. System is Linear, causal and stable
Answer» D. System is Linear, causal and stable
8.

For the system, y (t) = cos 2πt x (t), which of the following holds true?

A. System is Linear, time-invariant, causal and stable
B. System is time-invariant, causal and stable
C. System is Linear, causal and stable
D. System is Linear, time-invariant and stable
Answer» D. System is Linear, time-invariant and stable
9.

For the system, y (t) = x (\(\frac{t}{2}\)), which of the following holds true?

A. System is Linear, time-invariant, causal and stable
B. System is Linear and time-invariant
C. System is Linear and causal
D. System is Linear and stable
Answer» E.
10.

For the system, y (t) = x (t-5) – x (3-t) which of the following holds true?

A. System is Linear, time-invariant, causal and stable
B. System is time-invariant, causal and stable
C. System is Linear, time-invariant and stable
D. System is Linear, time-invariant and causal
Answer» D. System is Linear, time-invariant and causal
11.

For the system \( y (t) = ∑_{k=-∞}^n x(k)\), which of the following holds true?

A. Invertible
B. Non-Invertible
C. Invertible as well as Non-Invertible in its respective domains
D. Cannot be determined
Answer» B. Non-Invertible
12.

For the system y (t) = x2(t), which of the following holds true?

A. Invertible
B. Non-Invertible
C. Invertible as well as Non-Invertible in its respective domains
D. Cannot be determined
Answer» C. Invertible as well as Non-Invertible in its respective domains