MCQOPTIONS
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MCQOPTIONS
This section includes 14 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. |
What is the energy of a discrete time signal in terms of X(ω)? |
| A. | \(2π\int_{-π}^π |X(ω)|^2 dω\) |
| B. | \(\frac{1}{2π} \int_{-π}^π |X(ω)|^2 dω\) |
| C. | \(\frac{1}{2π} \int_0^π |X(ω)|^2 dω\) |
| D. | None of the mentioned |
| Answer» C. \(\frac{1}{2π} \int_0^π |X(ω)|^2 dω\) | |
| 2. |
The oscillatory behavior of the approximation of XN(ω) to the function X(ω) at a point of discontinuity of X(ω) is known as Gibbs phenomenon. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
What is the value of discrete time signal x(n) at n≠0 whose Fourier transform is represented as below? |
| A. | \(\frac{ω_c}{\pi}.\frac{sin ω_c.n}{ω_c.n}\) |
| B. | \(\frac{-ω_c}{\pi}.\frac{sin ω_c.n}{ω_c.n}\) |
| C. | \(ω_c.\pi \frac{sin ω_c.n}{ω_c.n}\) |
| D. | None of the mentioned |
| Answer» B. \(\frac{-ω_c}{\pi}.\frac{sin ω_c.n}{ω_c.n}\) | |
| 4. |
What is the value of discrete time signal x(n) at n=0 whose Fourier transform is represented as below? |
| A. | ωc.π |
| B. | -ωc/π |
| C. | ωc/π |
| D. | none of the mentioned |
| Answer» D. none of the mentioned | |
| 5. |
What is the synthesis equation of the discrete time signal x(n), whose Fourier transform is X(ω)? |
| A. | \(2π\int_0^2π X(ω) e^jωn dω\) |
| B. | \(\frac{1}{π} \int_0^{2π} X(ω) e^jωn dω\) |
| C. | \(\frac{1}{2π} \int_0^{2π} X(ω) e^jωn dω\) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 6. |
What is the period of the Fourier transform X(ω) of the signal x(n)? |
| A. | π |
| B. | 1 |
| C. | Non-periodic |
| D. | 2π |
| Answer» E. | |
| 7. |
What is the Fourier transform X(ω) of a finite energy discrete time signal x(n)? |
| A. | \(\sum_{n=-∞}^∞x(n)e^{-jωn}\) |
| B. | \(\sum_{n=0}^∞x(n)e^{-jωn}\) |
| C. | \(\sum_{n=0}^{N-1}x(n)e^{-jωn}\) |
| D. | None of the mentioned |
| Answer» B. \(\sum_{n=0}^∞x(n)e^{-jωn}\) | |
| 8. |
What is the equation for average power of discrete time periodic signal x(n) with period N in terms of Fourier series coefficient ck? |
| A. | \(\sum_{k=0}^{N-1}|c_k|\) |
| B. | \(\sum_{k=0}^{N-1}|c_k|^2\) |
| C. | \(\sum_{k=0}^N|c_k|^2\) |
| D. | \(\sum_{k=0}^N|c_k|\) |
| Answer» C. \(\sum_{k=0}^N|c_k|^2\) | |
| 9. |
What is the average power of the discrete time periodic signal x(n) with period N? |
| A. | \(\frac{1}{N} \sum_{n=0}^{N}|x(n)|\) |
| B. | \(\frac{1}{N} \sum_{n=0}^{N-1}|x(n)|\) |
| C. | \(\frac{1}{N} \sum_{n=0}^{N}|x(n)|^2\) |
| D. | \(\frac{1}{N} \sum_{n=0}^{N-1}|x(n)|^2 \) |
| Answer» E. | |
| 10. |
What are the Fourier series coefficients for the signal x(n)=cosπn/3? |
| A. | c1=c2=c3=c4=0,c1=c5=1/2 |
| B. | c0=c1=c2=c3=c4=c5=0 |
| C. | c0=c1=c2=c3=c4=c5=1/2 |
| D. | none of the mentioned |
| Answer» B. c0=c1=c2=c3=c4=c5=0 | |
| 11. |
The Fourier series for the signal x(n)=cos√2πn exists. |
| A. | True |
| B. | False |
| Answer» C. | |
| 12. |
Which of the following represents the phase associated with the frequency component of discrete-time Fourier series(DTFS)? |
| A. | ej2πkn/N |
| B. | e-j2πkn/N |
| C. | ej2πknN |
| D. | none of the mentioned |
| Answer» B. e-j2πkn/N | |
| 13. |
What is the expression for Fourier series coefficient ck in terms of the discrete signal x(n)? |
| A. | \(\frac{1}{N} \sum_{n=0}^{N-1}x(n)e^{j2πkn/N}\) |
| B. | \(N\sum_{n=0}^{N-1}x(n)e^{-j2πkn/N}\) |
| C. | \(\frac{1}{N} \sum_{n=0}^{N+1}x(n)e^{-j2πkn/N}\) |
| D. | \(\frac{1}{N} \sum_{n=0}^{N-1}x(n)e^{-j2πkn/N}\) |
| Answer» E. | |
| 14. |
What is the Fourier series representation of a signal x(n) whose period is N? |
| A. | \(\sum_{k=0}^{N+1}c_k e^{j2πkn/N}\) |
| B. | \(\sum_{k=0}^{N-1}c_k e^{j2πkn/N}\) |
| C. | \(\sum_{k=0}^Nc_k e^{j2πkn/N}\) |
| D. | \(\sum_{k=0}^{N-1}c_k e^{-j2πkn/N}\) |
| Answer» C. \(\sum_{k=0}^Nc_k e^{j2πkn/N}\) | |