This set of Digital Signal Processing MCQs focuses on “Design of Linear Phase FIR Filters Using Windows-2”.

1. What is the peak side lobe (in dB) for a rectangular window?**a) -13**

b) -27

c) -32

d) -58

2. What is the peak side lobe (in dB) for a Hanning window?

a) -13

b) -27**c) -32**

d) -58

3. How does the frequency of oscillations in the pass band of a low pass filter varies with the value of M?

a) Decrease with increase in M**b) Increase with increase in M**

c) Remains constant with increase in M

d) None of the mentioned

4. The oscillatory behavior near the band edge of the low pass filter is known as Gibbs phenomenon.**a) True**

b) False

5. Which of the following window is used in the design of a low pass filter to have a frequency response as shown in the figure?

a) Hamming window

b) Hanning window

c) Kaiser window**d) Blackman window**

6. Which of the following window is used in the design of a low pass filter to have a frequency response as shown in the figure?

a) Hamming window

b) Hanning window**c) Kaiser window**

d) Blackman window

7. What is the approximate transition width of main lobe of a Blackman window?

a) 4π/M

b) 8π/M**c) 12π/M**

d) 2π/M

8. Which of the following windows has a time domain sequence h(n)=12(1−cos2πnM−1)?

a) Bartlett window

b) Blackman window

c) Hamming window**d) Hanning window**

9. If the value of M increases then the main lobe in the frequency response of the rectangular window becomes broader.

a) True**b) False**

10. The large side lobes of W(ω) results in which of the following undesirable effects?

a) Circling effects

b) Broadening effects**c) Ringing effects**

d) None of the mentioned

11. Which of the following defines the rectangular window function of length M-1?**a)**

w(n)=1, n=0,1,2...M-1 =0, else where

b)

w(n)=1, n=0,1,2...M-1 =-1, else where

c)

w(n)=0, n=0,1,2...M-1 =1, else where

d) None of the mentioned

12. The multiplication of the window function w(n) with h(n) is equivalent to the multiplication of H(w) and W(w).

a) True**b) False**

13. What is the Fourier transform of the rectangular window of length M-1?

a) ejω(M−1)/2sin(ωM2)sin(ω2)

b) ejω(M+1)/2sin(ωM2)sin(ω2)

c) e−jω(M+1)/2sin(ωM2)sin(ω2)**d) e−jω(M−1)/2sin(ωM2)sin(ω2)**

14. What is the magnitude response |W(ω)| of a rectangular window function?**a) |sin(ωM/2)||sin(ω/2)|**

b) |sin(ω/2)||sin(ωM/2)|

c) |cos(ωM/2)||sin(ω/2)|

d) None of the mentioned

15. What is the width of the main lobe of the frequency response of a rectangular window of length M-1?

a) π/M

b) 2π/M**c) 4π/M**

d) 8π/M

16. The width of each side lobes decreases with an increase in M.**a) True**

b) False

17. With an increase in the value of M, the height of each side lobe ____________

a) Do not vary

b) Does not depend on value of M

c) Decreases**d) Increases**

18. As M is increased, W(ω) becomes wider and the smoothening produced by the W(ω) is increased.

a) True**b) False**

19. Which of the following windows has a time domain sequence h(n)=1−2|n−M−12|M−1?**a) Bartlett window**

b) Blackman window

c) Hanning window

d) Hamming window

20. The width of each side lobes decreases with an decrease in M.

a) True**b) False**

21. What is the approximate transition width of main lobe of a Hamming window?

a) 4π/M**b) 8π/M**

c) 12π/M

d) 2π/M