# Frequency Selective Filters MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Frequency Selective Filters”.

1. The ‘Envelope delay’ or ‘Group delay’ is the time delay that the signal component of frequency ω undergoes as it passes from the input to the output of the system.
a) True
b) False

2. The filter with the system function H(z)=z-k is a ____________
a) Notch filter
b) Band pass filter
c) All pass filter
d) None of the mentioned

3. If hlp(n) denotes the impulse response of a low pass filter with frequency response Hlp(ω), then what is the frequency response of the high pass filter in terms of Hlp(ω)?
a) Hlp(ω-π/2)
b) Hlp(ω+π/2)
c) Hlp(ω-π)
d) Hlp(ω+π)

4. An ideal filter should have zero gain in its stop band.
a) True
b) False

5. Which of the following filters have a frequency response as shown below?

a) Band pass filter
b) Band stop filter
c) All pass filter
d) Notch filter

6. Which filter has a magnitude frequency response as shown in the plot given below?

a) Low pass Filter
b) High pass Filter
c) Band pass Filter
d) Band stop Filter

7. A two pole low pass filter has a system function H(z)=b0(1−pz−1)2, What is the value of ‘b0‘ such that the frequency response H(ω) satisfies the condition |H(π/4)|2=1/2 and H(0)=1?
a) 0.36
b) 0.38
c) 0.32
d) 0.46

8. An ideal filter should have unity gain in its stop band.
a) True
b) False

9. If the system has an impulse response as h(n)=Asin(n+1)ω0u(n), then the system is known as a Digital frequency synthesizer.
a) True
b) False

10. If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?
a) 0.1/(1+0.9e)
b) 0.1/(1+0.9e-jω)
c) 0.1/(1-0.9e)
d) None of the mentioned

11. If the phase ϴ(ω) of the system is linear, then the group delay of the system?
a) Increases with frequency of signal
b) Constant
c) Decreases with frequency of signal
d) Independent of frequency of signal

12. A digital resonator is a special two pole band pass filter with the pair of complex conjugate poles located near the unit circle.
a) True
b) False

13. A two pole low pass filter has a system function H(z)=b0(1−pz−1)2, What is the value of ‘p’ such that the frequency response H(ω) satisfies the condition |H(π/4)|2=1/2 and H(0)=1?
a) 0.46
b) 0.38
c) 0.32
d) 0.36

14. A comb filter is a special case of notch filter in which the nulls occur periodically across the frequency band.
a) True
b) False

15. What is the system function for a two pole band pass filter that has the center of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?
a) 0.151−z−21+0.7z−2
b) 0.151+z−21−0.7z−2
c) 0.151−z−21−0.7z−2
d) 0.151+z−21+0.7z−2

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