MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 8 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 ΩP=4 rad/sec and stop band attenuation greater than or equal to 20dB at ΩS = 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. | \(\frac{log[(10^\frac{K_P}{10}-1)/(10^\frac{K_s}{10}-1)]}{2 log(\frac{\Omega_P}{\Omega_S})}\) |
| B. | \(\frac{log[(10^\frac{K_P}{10}+1)/(10^\frac{K_s}{10}+1)]}{2 log(\frac{\Omega_P}{\Omega_S})}\) |
| C. | \(\frac{log[(10^\frac{-K_P}{10}+1)/(10^\frac{-K_s}{10}+1)]}{2 log(\frac{\Omega_P}{\Omega_S})}\) |
| D. | \(\frac{log[(10^\frac{-K_P}{10}-1)/(10^\frac{-K_s}{10}-1)]}{2 log(\frac{\Omega_P}{\Omega_S})}\) |
| Answer» E. | |
| 6. |
What is the value of gain at the stop band frequency, i.e., what is the value of KS? |
| A. | -10 \(log[1+(\frac{\Omega_S}{\Omega_C})^{2N}]\) |
| B. | -10 \(log[1-(\frac{\Omega_S}{\Omega_C})^{2N}]\) |
| C. | 10 \(log[1-(\frac{\Omega_S}{\Omega_C})^{2N}]\) |
| D. | 10 \(log[1+(\frac{\Omega_S}{\Omega_C})^{2N}]\) |
| Answer» B. -10 \(log[1-(\frac{\Omega_S}{\Omega_C})^{2N}]\) | |
| 7. |
What is the value of gain at the pass band frequency, i.e., what is the value of KP? |
| A. | -10 \(log [1-(\frac{\Omega_P}{\Omega_C})^{2N}]\) |
| B. | -10 \(log [1+(\frac{\Omega_P}{\Omega_C})^{2N}]\) |
| C. | 10 \(log [1-(\frac{\Omega_P}{\Omega_C})^{2N}]\) |
| D. | 10 \(log [1+(\frac{\Omega_P}{\Omega_C})^{2N}]\) |
| Answer» C. 10 \(log [1-(\frac{\Omega_P}{\Omega_C})^{2N}]\) | |
| 8. |
Which of the following is a frequency domain specification? |
| A. | 0 ≥ 20 log|H(jΩ)| |
| B. | 20 log|H(jΩ)| ≥ KP |
| C. | 20 log|H(jΩ)| ≤ KS |
| D. | All of the mentioned |
| Answer» E. | |