1. In which of the following transformations, poles, and zeros of H(s) are mapped directly into poles and zeros in the z-plane?

A. Impulse invariance

B. Bilinear transformation

C. Approximation of derivatives

D. Matched Z-transform

2. Which of the following is true in matched z-transform?

A. Poles of H(s) are directly mapped to poles in z-plane

B. Zeros of H(s) is directly mapped to poles in z-plane

C. Poles & Zeros of H(s) are directly mapped to poles in z-plane

D. None of the mentioned

3. In matched z-transform, the poles and zeros of H(s) are directly mapped into poles and zeros in the z-plane.

A. True

B. False

4. The factor of the form (s-A. in H(s) is mapped into which of the following factors in the z-domain?

A. 1-e^{aT}z

B. 1-e^{aT}z^{-1}

C. 1-e^{-aT}z^{-1}

D. 1+e^{aT}z^{-1}

5. The factor of the form (s+A. in H(s) is mapped into which of the following factors in the z-domain?

A. 1-e^{aT}z

B. 1-e^{aT}z^{-1}

C. 1-e^{-aT}z^{-1}

D. 1+e^{aT}z^{-1}

6. If the factor of the form (s-A. in H(s) is mapped into 1-e^{aT}z^{-1} in the z-domain, that kind of transformation is called ______

A. Impulse invariance

B. Bilinear transformation

C. Approximation of derivatives

D. Matched Z-transform

7. The poles obtained from matched z-transform are identical to poles obtained from which of the following transformations?

A. Bilinear transformation

B. Impulse invariance

C. Approximation of derivatives

D. None of the mentioned

8. The zero positions obtained from matched z-transform and impulse invariance methods are not the same.

A. True

B. False

9. The sampling interval in the matched z-transform must be properly selected to yield the pole and zero locations at the equivalent position in the z-plane.

A. True

B. False

11. What should be the value of sampling interval T, to avoid aliasing?

A. Zero

B. Sufficiently large

C. Sufficiently small

D. None of the mentioned

12. 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

13. 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

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

14. 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})

15. 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

16. 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

17. 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

18. Type-2 Chebyshev filters consists of ______________

A. Only poles

B. Both poles and zeros

C. Only zeros

D. Cannot be determined

19. 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

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

A. Imaginary axis

B. Real axis

C. Zero

D. Cannot be determined

21. 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

22. 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

23. 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

24. 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

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

A. True

B. False