1. Low pass Butterworth filters are also called as ________

A. All-zero filter

B. All-pole filter

C. Pole-zero filter

D. None of the mentioned

2. What is the equation for the magnitude square response of a low pass Butterworth filter?

A. \(\frac{1}{\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}}\)

B. \(1+(\frac{Ω}{Ω_C})^{2N}\)

C. \(\sqrt{1+(\frac{Ω}{Ω_C})^{2N}}\)

D. None of the mentioned

3. What is the transfer function of magnitude squared frequency response of the normalized low pass Butterworth filter?

A. \(\frac{1}{1+(s/j)^{-2N}}\)

B. \(1+(\frac{s}{j})^{-2N}\)

C. \(1+(\frac{s}{j})^{2N}\)

D. \(\frac{1}{1+(\frac{s}{j})^{2N}}\)

4. Which of the following is the band edge value of |H(Ω)|2?

A. (1+ε^{2})

B. (1-ε^{2})

C. 1/(1+ε^{2})

D. 1/(1-ε^{2})

5. The magnitude square response shown in the below figure is for which of the following given filters?

A. Butterworth

B. Chebyshev

C. Elliptical

D. None of the mentioned

6. What is the order of a low-pass Butterworth filter that has a -3dB bandwidth of 500Hz and an attenuation of 40dB at 1000Hz?

A. 4

B. 5

C. 6

D. 7

7. Which of the following is true about the type-1 Chebyshev filter?

A. Equi-ripple behavior in passband

B. Monotonic characteristic in stopband

C. Equi-ripple behavior in passband & Monotonic characteristic in stopband

D. None of the mentioned

8. Type-2 Chebyshev filters consists of ______________

A. Only poles

B. Both poles and zeros

C. Only zeros

D. Cannot be determined

9. Which of the following is false about the type-2 Chebyshev filters?

A. Monotonic behavior in the passband

B. Equi-ripple behavior in the stopband

C. Zero behavior

D. Monotonic behavior in the stopband

10. The zeros of type-2 class of Chebyshev filters lies on ___________

A. Imaginary axis

B. Real axis

C. Zero

D. Cannot be determined

11. Which of the following defines a Chebyshev polynomial of order N, TN(x)?

A. cos(Ncos-1x) for all x

B. cosh(Ncosh-1x) for all x

C.cos(Ncos-1x), |x|≤1 cosh(Ncosh-1x), |x|>1

D. None of the mentioned

12. The frequency response shown in the figure below belongs to which of the following filters?

A. Type-1 Chebyshev

B. Type-2 Chebyshev

C. Butterworth

D. Elliptical

13. What is the order of the type-2 Chebyshev filter whose magnitude square response is as shown in the following figure?

A. 2

B. 4

C. 6

D. 3

14. Which of the following is true about the magnitude square response of an elliptical filter?

A. Equi-ripple in passband

B. Equi-ripple in stopband

C. Equi-ripple in passband and stopband

D. None of the mentioned

15. Bessel filters exhibit a linear phase response over the passband of the filter.

A. True

B. False

16. The following frequency characteristic is for which of the following filter?

A. Type-2 Chebyshev filter

B. Type-1 Chebyshev filter

C. Butterworth filter

D. Bessel filter

17. Which of the following is the backward design equation for a low pass-to-high pass transformation?

A. ΩS=\(\frac{Ω_S}{Ω_u}\)

B. ΩS=\(\frac{Ω_u}{Ω’_S}\)

C. Ω’S=\(\frac{Ω_S}{Ω_u}\)

D. ΩS=\(\frac{Ω’_S}{Ω_u}\)

18. Which of the following filter has a phase spectrum as shown in the figure?

A. Chebyshev filter

B. Butterworth filter

C. Bessel filter

D. Elliptical filter

19. What is the passband edge frequency of an analog low pass normalized filter?

A. 0 rad/sec

B. 0.5 rad/sec

C. 1 rad/sec

D. 1.5 rad/sec

20. Which of the following is a low pass-to-high pass transformation?

A. s → s / Ωu

B. s → Ωu / s

C. s → Ωu.s

D. none of the mentioned

21. Which of the following is the backward design equation for a low pass-to-low pass transformation?

A. ΩS=\(\frac{Ω_S}{Ω_u}\)

B. ΩS=\(\frac{Ω_u}{Ω’_S}\)

C. Ω’S=\(\frac{Ω_S}{Ω_u}\)

D. ΩS=\(\frac{Ω’_S}{Ω_u}\)

22. If H(s) is the transfer function of an analog low pass normalized filter and Ωu is the desired passband edge frequency of a new low pass filter, then which of the following transformation has to be performed?

A. s → s / Ωu

B. s → s.Ωu

C. s → Ωu/s

D. None of the mentioned

23. Which of the following is a low pass-to-band pass transformation?

A. s→\(\frac{s^2+Ω_u Ω_l}{s(Ω_u+Ω_l)}\)

B. s→\(\frac{s^2-Ω_u Ω_l}{s(Ω_u-Ω_l)}\)

C. s→\(\frac{s^2+Ω_u Ω_l}{s(Ω_u-Ω_l)}\)

D. s→\(\frac{s^2-Ω_u Ω_l}{s(Ω_u+Ω_l)}\)

24. If A=\(\frac{-Ω_1^2+Ω_u Ω_l}{Ω_1 (Ω_u-Ω_l)}\) and B=\(\frac{Ω_2^2-Ω_u Ω_l}{Ω_2 (Ω_u-Ω_l)}\), then which of the following is the backward design equation for a low pass-to-band pass transformation?

A. ΩS=|B|

B. ΩS=|A|

C. ΩS=Max{|A|,|B|}

D. ΩS=Min{|A|,|B|}

25. If A=\(\frac{Ω_1 (Ω_u-Ω_l)}{-Ω_1^2+Ω_u Ω_l}\) and B=\(\frac{Ω_2 (Ω_u-Ω_l)}{-Ω_2^2+Ω_u Ω_l}\), then which of the following is the backward design equation for a low pass-to-band stop transformation?

A. ΩS=Max{|A|,|B|}

B. ΩS=Min{|A|,|B|}

C. ΩS=|B|

D. ΩS=|A|

26. Which of the following is a low pass-to-high pass transformation?

A. s→ s / Ωu

B. s→ Ωu / s

C. s→ Ωu.s

D. none of the mentioned

27. The following frequency characteristic is for which of the following filter?

A. Type-2 Chebyshev filter

B. Type-1 Chebyshev filter

C. Butterworth filter

D. Bessel filter

28. Which of the following is a low pass-to-band stop transformation?

A. s→\(\frac{s(Ω_u-Ω_l)}{s^2+Ω_u Ω_l}\)

B. s→\(\frac{s(Ω_u+Ω_l)}{s^2+Ω_u Ω_l}\)

C. s→\(\frac{s(Ω_u-Ω_l)}{s^2-Ω_u Ω_l}\)

D. None of the mentioned