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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. | \(\frac{sinπt}{π}\) [u (t+1) – u(t-1)] |
B. | \(\frac{sinπt}{π}\) u(t-1) |
C. | \(\frac{sinπt}{π}\) u(t+1) |
D. | \(\frac{sinπt}{π}\) u(t) |
Answer» B. \(\frac{sinπt}{π}\) 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 | |