Explore topic-wise MCQs in Digital Signal Processing Questions and Answers.

This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing Questions and Answers 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.

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.
3.

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 \(log⁡[1-(\frac{\Omega_S}{\Omega_C})^{2N}]\)
4.

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 \(log⁡ [1-(\frac{\Omega_P}{\Omega_C})^{2N}]\)