1. Which of the following is the first method proposed for the design of FIR filters?

A. Chebyshev approximation

B. Frequency sampling method

C. Windowing technique

D. None of the mentioned

2. The lack of precise control of cutoff frequencies is a disadvantage of which of the following designs?

A. Window design

B. Chebyshev approximation

C. Frequency sampling

D. None of the mentioned

3. The values of cutoff frequencies, in general, depend on which of the following?

A. Type of the window

B. Length of the window

C. Type & Length of the window

D. None of the mentioned

4. In the frequency sampling method, the transition band is a multiple of which of the following?

A. π/M

B. 2π/M

C. π/2M

D. 2πM

5. The frequency sampling design method is attractive when the FIR filter is realized in the frequency domain by means of the DFT.

A. True

B. False

6. Which of the following values can a frequency response take in the frequency sampling technique?

A. Zero

B. One

C. Zero or One

D. None of the mentioned

7. Which of the following technique is more preferable for the design of a linear phase FIR filter?

A. Window design

B. Chebyshev approximation

C. Frequency sampling

D. None of the mentioned

8. By optimal filter design, the maximum sidelobe level is minimized.

A. True

B. False

9. Which of the following is the correct expression for transition band Δf?

A. (ωp– ωs)/2π

B. (ωp+ωs)/2π

C. (ωp.ωs)/2π

D. (ωs– ωp)/2π

10. If the resulting δ exceeds the specified δ2, then the length can be increased until we obtain a side lobe level that meets the specification.

A. True

B. False

11. What is the duration of the unit sample response of a digital filter?

A. Finite

B. Infinite

C. Impulse(very small)

D. Zero

12. Which of the following methods are used to convert the analog filter into a digital filter?

A. Approximation of Derivatives

B. Bilinear transformation

C. Impulse invariance

D. All of the mentioned

13. Which of the following is the difference equation of the FIR filter of length M, input x(n) and output y(n)?

A. y(n)=\(\sum_{k=0}^{M+1} b_k x(n+k)\)

B. y(n)=\(\sum_{k=0}^{M+1} b_k x(n-k)\)

C. y(n)=\(\sum_{k=0}^{M-1} b_k x(n-k)\)

D. None of the mentioned

14. What is the relation between h(t) and Ha(s)?

A. Ha(s)=\( \int_{-\infty}^{\infty} h(t)e^{-st} dt\)

B. Ha(s)=\(\int_0^{\infty} h(t)e^{st} dt\)

C. Ha(s)=\( \int_{-\infty}^{\infty} h(t)e^{st} dt\)

D. None of the mentioned

15. Which of the following is a representation of system function?

A. Normal system function

B. Laplace transform

C. Rational system function

D. All of the mentioned

16. For an analog LTI system to be stable, where should the poles of system function H(s) lie?

A. Right half of s-plane

B. Left half of s-plane

C. On the imaginary axis

D. At origin

17. If the conversion technique is to be effective, the jΩ axis in the s-plane should map into the unit circle in the z-plane.

A. True

B. False

18. If the conversion technique is to be effective, then the LHP of the s-plane should be mapped into _________

A. Outside of unit circle

B. Unit circle

C. Inside unit circle

D. Does not matter

19. Physically realizable and stable IIR filters cannot have a linear phase.

A. True

B. False

20. What is the condition on the system function of a linear phase filter?

A. H(z)=\(z^{-N} H(z^{-1})\)

B. H(z)=\(z^N H(z^{-1})\)

C. H(z)=\(±z^N H(z^{-1})\)

D. H(z)=\(±z^{-N} H(z^{-1})\)