Explore topic-wise MCQs in Signals & Systems.

This section includes 14 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

The continuous time convolution integral y(t) = e-3tu(t) * u(t+3) is ___________

A. ( frac{1}{3} )[1 e<sup>-3(t+3)</sup>] u(t+3)
B. ( frac{1}{3} )[1 e<sup>-3(t+3)</sup>] u(t)
C. ( frac{1}{3} )[1 e<sup>-3t</sup>] u(t)
D. ( frac{1}{3} )[1 e<sup>-3t</sup>] u(t+3)
Answer» B. ( frac{1}{3} )[1 e<sup>-3(t+3)</sup>] u(t)
Discussion
2.

The continuous time convolution integral y(t) = cos t [u (t+1) u (t-1) * u(t)] is __________

A. ( frac{sin u2061 t}{ } ) [u (t+1) u(t-1)]
B. ( frac{sin u2061 t}{ } ) u(t-1)
C. ( frac{sin u2061 t}{ } ) u(t+1)
D. ( frac{sin u2061 t}{ } ) u(t)
Answer» B. ( frac{sin u2061 t}{ } ) u(t-1)
Discussion
3.

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
Discussion
4.

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.
Discussion
5.

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
Discussion
6.

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
Discussion
7.

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
Discussion
8.

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
Discussion
9.

For the system, 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 Linear, time-invariant and stable
D. System is Linear, causal and stable
Answer» D. System is Linear, causal and stable
Discussion
10.

For the system, y (t) = cos 2 t 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
Discussion
11.

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.
Discussion
12.

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
Discussion
13.

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
Discussion
14.

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
Discussion