Digital Signal Processing

Characteristics of Commonly Used Analog Filters

Question 1
Marks : +2 | -2
Pass Ratio : 100%
The zeros of type-2 class of chebyshev filters lies on ___________
Imaginary axis
Real axis
Zero
Cannot be determined
Explanation:
The zeros of this class of filters lie on the imaginary axis in the s-plane.
Question 2
Marks : +2 | -2
Pass Ratio : 100%
Type-2 chebyshev filters consists of ______________
Only poles
Both poles and zeros
Only zeros
Cannot be determined
Explanation:
Type-1 chebyshev filters are all-pole filters where as the family of type-2 chebyshev filters contains both poles and zeros.
Question 3
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is the band edge value of |H(Ω)|2?
(1+ε2)
(1-ε2)
1/(1+ε2)
1/(1-ε2)
Explanation:
1/(1+ε2) gives the band edge value of the magnitude square response |H(Ω)|2.
Question 4
Marks : +2 | -2
Pass Ratio : 100%
What is the transfer function of magnitude squared frequency response of the normalized low pass Butterworth filter?
\\(\\frac{1}{1+(s/j)^{-2N}}\\)
\\(1+(\\frac{s}{j})^{-2N}\\)
\\(1+(\\frac{s}{j})^{2N}\\)
\\(\\frac{1}{1+(\\frac{s}{j})^{2N}}\\)
Explanation:
We know that the magnitude squared frequency response of a normalized low pass Butterworth filter is given as
Question 5
Marks : +2 | -2
Pass Ratio : 100%
What is the equation for magnitude square response of a low pass Butterworth filter?
\\(\\frac{1}{\\sqrt{1+(\\frac{Ω}{Ω_C})^{2N}}}\\)
\\(1+(\\frac{Ω}{Ω_C})^{2N}\\)
\\(\\sqrt{1+(\\frac{Ω}{Ω_C})^{2N}}\\)
None of the mentioned
Explanation:
A Butterworth is characterized by the magnitude frequency response
Question 6
Marks : +2 | -2
Pass Ratio : 100%
What is the order of a low pass Butterworth filter that has a -3dB bandwidth of 500Hz and an attenuation of 40dB at 1000Hz?
4
5
6
7
Explanation:
Given Ωc=1000Ï€ and Ωs=2000Ï€
Question 7
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is true about type-1 chebyshev filter?
Equi-ripple behavior in pass band
Monotonic characteristic in stop band
Equi-ripple behavior in pass band & Monotonic characteristic in stop band
None of the mentioned
Explanation:
Type-1 chebyshev filters are all-pole filters that exhibit equi-ripple behavior in pass band and a monotonic characteristic in the stop band.
Question 8
Marks : +2 | -2
Pass Ratio : 100%
Low pass Butterworth filters are also called as _____________
All-zero filter
All-pole filter
Pole-zero filter
None of the mentioned
Explanation:
Low pass Butterworth filters are also called as all-pole filters because it has only non-zero poles.
Question 9
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is false about the type-2 chebyshev filters?
Monotonic behavior in the pass band
Equi-ripple behavior in the stop band
Zero behavior
Monotonic behavior in the stop band
Explanation:
Type-2 chebyshev filters exhibit equi-ripple behavior in stop band and a monotonic characteristic in the pass band.
Question 10
Marks : +2 | -2
Pass Ratio : 100%
The magnitude square response shown in the below figure is for which of the following given filters?
Butterworth
Chebyshev
Elliptical
None of the mentioned
Explanation:
The magnitude square response shown in the given figure is for Butterworth filter.