MCQOPTIONS
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MCQOPTIONS
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. |
Find the Fourier transform of e-2t u(t-1). |
| A. | \(e^{-2} [e^{-jω} \frac{1}{2-jω}]\) |
| B. | \(e^2 [e^{-jω} \frac{1}{2-jω}]\) |
| C. | \(e^{-2} [e^{jω} \frac{1}{2-jω}]\) |
| D. | \(e^{-2} [e^{-jω} \frac{1}{2+jω}]\) |
| Answer» E. | |
| 2. |
Find the Fourier transform of \(\frac{1}{a+jt}\). |
| A. | 2πeaω u(ω) |
| B. | 2πeaω u(-ω) |
| C. | 2πe-aω u(ω) |
| D. | 2πe-aω u(-ω) |
| Answer» C. 2πe-aω u(ω) | |
| 3. |
Find the Fourier transform of x(t) = f(t – 2) + f(t + 2). |
| A. | 2F(ω)cos2ω |
| B. | F(ω)cos2ω |
| C. | 2F(ω)sin2ω |
| D. | F(ω)sin2ω |
| Answer» B. F(ω)cos2ω | |
| 4. |
Find the Fourier transform of ejω0t. |
| A. | δ(ω + ω0) |
| B. | 2πδ(ω + ω0) |
| C. | δ(ω – ω0) |
| D. | 2πδ(ω – ω0) |
| Answer» E. | |
| 5. |
Find the Fourier transform of f(t)=te-at u(t). |
| A. | \(\frac{1}{(a-jω)^2} \) |
| B. | \(\frac{1}{(a+jω)^2} \) |
| C. | \(\frac{a}{(a-jω)^2} \) |
| D. | \(\frac{ω}{(a-jω)^2} \) |
| Answer» C. \(\frac{a}{(a-jω)^2} \) | |
| 6. |
Find the Fourier transform of \(\frac{j}{πt}\). |
| A. | sinc(ω) |
| B. | sa(ω) |
| C. | δ(ω) |
| D. | sgn(ω) |
| Answer» E. | |
| 7. |
The Fourier transform of a function x(t) is X(ω). What will be the Fourier transform of \(\frac{dX(t)}{dt}\)? |
| A. | \(\frac{X(f)}{jf}\) |
| B. | j2πfX(f) |
| C. | \(\frac{dX(f)}{dt}\) |
| D. | jfX(f) |
| Answer» C. \(\frac{dX(f)}{dt}\) | |