Explore topic-wise MCQs in Digital Signal Processing.

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
Discussion
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
Discussion
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
Discussion
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}} )
Discussion
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.
Discussion
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}] )
Discussion
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}] )
Discussion