MCQOPTIONS
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MCQOPTIONS
This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
According to Parseval s Theorem for non-periodic signal, ( int_{- }^ |x(t)|^2 dt ). |
| A. | ( int_{- }^ |X(F)|^2 dt ) |
| B. | ( int_{- }^ |X^* (F)|^2 dt ) |
| C. | ( int_{- }^ X(F).X^*(F) dt ) |
| D. | All of the mentioned |
| Answer» E. | |
| 2. |
Which of the following relation is correct between Fourier transform X(F) and Fourier series coefficient ck? |
| A. | c<sub>k</sub>=X(F<sub>0</sub>/k) |
| B. | c<sub>k</sub>= 1/T<sub>P</sub> (X(F<sub>0</sub>/k)) |
| C. | c<sub>k</sub>= 1/T<sub>P</sub>(X(kF<sub>0</sub>)) |
| D. | none of the mentioned |
| Answer» D. none of the mentioned | |
| 3. |
What is the equation of the Fourier series coefficient ck of an non-periodic signal? |
| A. | ( frac{1}{T_p} int_0^{t_0+T_p} x(t)e^{-j2 kF_0 t} dt ) |
| B. | ( frac{1}{T_p} int_{- infty}^ x(t)e^{-j2 kF_0 t} dt ) |
| C. | ( frac{1}{T_p} int_{t_0}^{t_0+T_p} x(t)e^{-j2 kF_0 t} dt ) |
| D. | ( frac{1}{T_p} int_{t_0}^{t_0+T_p} x(t)e^{j2 kF_0 t} dt ) |
| Answer» C. ( frac{1}{T_p} int_{t_0}^{t_0+T_p} x(t)e^{-j2 kF_0 t} dt ) | |
| 4. |
What is the spectrum that is obtained when we plot |ck| as a function of frequency? |
| A. | Magnitude voltage spectrum |
| B. | Phase spectrum |
| C. | Power spectrum |
| D. | None of the mentioned |
| Answer» B. Phase spectrum | |
| 5. |
What is the spectrum that is obtained when we plot |ck |2 as a function of frequencies kF0, k=0, 1, 2..? |
| A. | Average power spectrum |
| B. | Energy spectrum |
| C. | Power density spectrum |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 6. |
The equation of average power of a periodic signal x(t) is given as ___________ |
| A. | ( sum_{k=0}^{ infty}|c_k|^2 ) |
| B. | ( sum_{k=- infty}^{ infty}|c_k| ) |
| C. | ( sum_{k=- infty}^0|c_k|^2 ) |
| D. | ( sum_{k=- infty}^{ infty}|c_k|^2 ) |
| Answer» E. | |
| 7. |
The equation x(t)= (a_0+ sum_{k=1}^ (a_k cos2 kF_0 t b_k sin2 kF_0 t) ) is the representation of Fourier series. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 8. |
Which of the following is the Fourier series representation of the signal x(t)? |
| A. | (c_0+2 sum_{k=1}^{ infty}|c_k|sin(2 kF_0 t+ _k) ) |
| B. | (c_0+2 sum_{k=1}^{ infty}|c_k|cos(2 kF_0 t+ _k) ) |
| C. | (c_0+2 sum_{k=1}^{ infty}|c_k|tan(2 kF_0 t+ _k) ) |
| D. | None of the mentioned |
| Answer» C. (c_0+2 sum_{k=1}^{ infty}|c_k|tan(2 kF_0 t+ _k) ) | |
| 9. |
The equation x(t)= ( sum_{k=- infty}^{ infty}c_k e^{j2 kF_0 t} ) is known as analysis equation. |
| A. | True |
| B. | False |
| Answer» C. | |
| 10. |
Which of the following is the equation for the Fourier series coefficient? |
| A. | ( frac{1}{T_p} int_0^{t_0+T_p} x(t)e^{-j2 kF_0 t} dt ) |
| B. | ( frac{1}{T_p} int_{t_0}^ x(t)e^{-j2 kF_0 t} dt ) |
| C. | ( frac{1}{T_p} int_{t_0}^{t_0+T_p} x(t)e^{-j2 kF_0 t} dt ) |
| D. | ( frac{1}{T_p} int_{t_0}^{t_0+T_p} x(t)e^{j2 kF_0 t} dt ) |
| Answer» D. ( frac{1}{T_p} int_{t_0}^{t_0+T_p} x(t)e^{j2 kF_0 t} dt ) | |
| 11. |
The Fourier series representation of any signal x(t) is defined as ___________ |
| A. | ( sum_{k=- infty}^{ infty}c_k e^{j2 kF_0 t} ) |
| B. | ( sum_{k=0}^{ infty}c_k e^{j2 kF_0 t} ) |
| C. | ( sum_{k=- infty}^{ infty}c_k e^{-j2 kF_0 t} ) |
| D. | ( sum_{k=- infty}^{ infty}c_{-k} e^{j2 kF_0 t} ) |
| Answer» B. ( sum_{k=0}^{ infty}c_k e^{j2 kF_0 t} ) | |