MCQOPTIONS
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MCQOPTIONS
This section includes 7 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 lowest order of the Butterworth filter with a pass band gain KP=-1 dB at P=4 rad/sec and stop band attenuation greater than or equal to 20dB at S = 8 rad/sec? |
| A. | 4 |
| B. | 5 |
| C. | 6 |
| D. | 3 |
| Answer» C. 6 | |
| 2. |
The cutoff frequency of the low pass Butterworth filter is the arithmetic mean of the two cutoff frequencies as found above. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
What is the expression for cutoff frequency in terms of stop band gain? |
| A. | ( frac{ Omega_S}{(10^{-K_S/10}-1)^{1/2N}} ) |
| B. | ( frac{ Omega_S}{(10^{-K_S/10}+1)^{1/2N}} ) |
| C. | ( frac{ Omega_S}{(10^{K_S/10}-1)^{1/2N}} ) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 4. |
What is the expression for cutoff frequency in terms of pass band gain? |
| A. | ( frac{ Omega_P}{(10^{-K_P/10}-1)^{1/2N}} ) |
| B. | ( frac{ Omega_P}{(10^{-K_P/10}+1)^{1/2N}} ) |
| C. | ( frac{ Omega_P}{(10^{K_P/10}-1)^{1/2N}} ) |
| D. | None of the mentioned |
| Answer» B. ( frac{ Omega_P}{(10^{-K_P/10}+1)^{1/2N}} ) | |
| 5. |
What is the order N of the low pass Butterworth filter in terms of KP and KS? |
| A. | ( frac{log u2061[(10^ frac{K_P}{10}-1)/(10^ frac{K_s}{10}-1)]}{2 log u2061( frac{ Omega_P}{ Omega_S})} ) |
| B. | ( frac{log u2061[(10^ frac{K_P}{10}+1)/(10^ frac{K_s}{10}+1)]}{2 log u2061( frac{ Omega_P}{ Omega_S})} ) |
| C. | ( frac{log u2061[(10^ frac{-K_P}{10}+1)/(10^ frac{-K_s}{10}+1)]}{2 log u2061( frac{ Omega_P}{ Omega_S})} ) |
| D. | ( frac{log u2061[(10^ frac{-K_P}{10}-1)/(10^ frac{-K_s}{10}-1)]}{2 log u2061( frac{ Omega_P}{ Omega_S})} ) |
| Answer» E. | |
| 6. |
What is the value of gain at the stop band frequency, i.e., what is the value of KS? |
| A. | -10 (log u2061[1+( frac{ Omega_S}{ Omega_C})^{2N}] ) |
| B. | -10 (log u2061[1-( frac{ Omega_S}{ Omega_C})^{2N}] ) |
| C. | 10 (log u2061[1-( frac{ Omega_S}{ Omega_C})^{2N}] ) |
| D. | 10 (log u2061[1+( frac{ Omega_S}{ Omega_C})^{2N}] ) |
| Answer» B. -10 (log u2061[1-( frac{ Omega_S}{ Omega_C})^{2N}] ) | |
| 7. |
What is the value of gain at the pass band frequency, i.e., what is the value of KP? |
| A. | -10 (log u2061 [1-( frac{ Omega_P}{ Omega_C})^{2N}] ) |
| B. | -10 (log u2061 [1+( frac{ Omega_P}{ Omega_C})^{2N}] ) |
| C. | 10 (log u2061 [1-( frac{ Omega_P}{ Omega_C})^{2N}] ) |
| D. | 10 (log u2061 [1+( frac{ Omega_P}{ Omega_C})^{2N}] ) |
| Answer» C. 10 (log u2061 [1-( frac{ Omega_P}{ Omega_C})^{2N}] ) | |