MCQOPTIONS
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MCQOPTIONS
This section includes 13 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( )? |
| A. | (2 int_{- }^ |X( )|^2 d ) |
| B. | ( frac{1}{2 } int_{- }^ |X( )|^2 d ) |
| C. | ( frac{1}{2 } int_0^ |X( )|^2 d ) |
| D. | None of the mentioned |
| Answer» C. ( frac{1}{2 } int_0^ |X( )|^2 d ) | |
| 2. |
The oscillatory behavior of the approximation of XN( ) to the function X( ) at a point of discontinuity of X( ) 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{ _c}{ pi}. frac{sin _c.n}{ _c.n} ) |
| B. | ( frac{- _c}{ pi}. frac{sin _c.n}{ _c.n} ) |
| C. | ( _c. pi frac{sin _c.n}{ _c.n} ) |
| D. | None of the mentioned |
| Answer» B. ( frac{- _c}{ pi}. frac{sin _c.n}{ _c.n} ) | |
| 4. |
What is the value of discrete time signal x(n) at n=0 whose Fourier transform is represented as below? |
| A. | <sub>c</sub>. |
| B. | - <sub>c</sub>/ |
| C. | <sub>c</sub>/ |
| 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( )? |
| A. | (2 int_0^2 X( ) e^j n d ) |
| B. | ( frac{1}{ } int_0^{2 } X( ) e^j n d ) |
| C. | ( frac{1}{2 } int_0^{2 } X( ) e^j n d ) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 6. |
What is the period of the Fourier transform X( ) of the signal x(n)? |
| A. | |
| B. | 1 |
| C. | Non-periodic |
| D. | 2 |
| Answer» E. | |
| 7. |
What is the Fourier transform X( ) of a finite energy discrete time signal x(n)? |
| A. | ( sum_{n=- }^ x(n)e^{-j n} ) |
| B. | ( sum_{n=0}^ x(n)e^{-j n} ) |
| C. | ( sum_{n=0}^{N-1}x(n)e^{-j n} ) |
| D. | None of the mentioned |
| Answer» B. ( sum_{n=0}^ x(n)e^{-j n} ) | |
| 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)=cos n/3? |
| A. | c<sub>1</sub>=c<sub>2</sub>=c<sub>3</sub>=c<sub>4</sub>=0,c<sub>1</sub>=c<sub>5</sub>=1/2 |
| B. | c<sub>0</sub>=c<sub>1</sub>=c<sub>2</sub>=c<sub>3</sub>=c<sub>4</sub>=c<sub>5</sub>=0 |
| C. | c<sub>0</sub>=c<sub>1</sub>=c<sub>2</sub>=c<sub>3</sub>=c<sub>4</sub>=c<sub>5</sub>=1/2 |
| D. | none of the mentioned |
| Answer» B. c<sub>0</sub>=c<sub>1</sub>=c<sub>2</sub>=c<sub>3</sub>=c<sub>4</sub>=c<sub>5</sub>=0 | |
| 11. |
The Fourier series for the signal x(n)=cos 2 n exists. |
| A. | True |
| B. | False |
| Answer» C. | |
| 12. |
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^{j2 kn/N} ) |
| B. | (N sum_{n=0}^{N-1}x(n)e^{-j2 kn/N} ) |
| C. | ( frac{1}{N} sum_{n=0}^{N+1}x(n)e^{-j2 kn/N} ) |
| D. | ( frac{1}{N} sum_{n=0}^{N-1}x(n)e^{-j2 kn/N} ) |
| Answer» E. | |
| 13. |
What is the Fourier series representation of a signal x(n) whose period is N? |
| A. | ( sum_{k=0}^{N+1}c_k e^{j2 kn/N} ) |
| B. | ( sum_{k=0}^{N-1}c_k e^{j2 kn/N} ) |
| C. | ( sum_{k=0}^Nc_k e^{j2 kn/N} ) |
| D. | ( sum_{k=0}^{N-1}c_k e^{-j2 kn/N} ) |
| Answer» C. ( sum_{k=0}^Nc_k e^{j2 kn/N} ) | |