# Backward Difference Method MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Backward Difference Method”.

1. Which of the following is the correct relation between ‘s’ and ‘z’?

a) s=(1-z^{-1})/T

b) s=1/(1+zT)

c) s=(1+z^{-1})/T

d) none of the mentioned

2. The left half of the s-plane is mapped to which of the following in the z-domain?

a) Outside the circle |z-0.5|=0.5

b) Outside the circle |z+0.5|=0.5

c) Inside the circle |z-0.5|=0.5

d) Inside the circle |z+0.5|=0.5

3. What is the center of the circle represented by the image of jΩ axis of the s-domain?

a) z=0

b) z=0.5

c) z=1

d) none of the mentioned

4. An analog high pass filter can be mapped to a digital high pass filter.

a) True

b) False

5. What is the radius of the circle represented by the image of jΩ axis of the s-domain?

a) 0.75

b) 0.25

c) 1

d) 0.5

6. What is the first backward difference of y(n)?

a) [y(n)+y(n-1)]/T

b) [y(n)+y(n+1)]/T

c) [y(n)-y(n+1)]/T

d) [y(n)-y(n-1)]/T

7. What is the z-transform of the first backward difference equation of y(n)?

a) 1+z−1T Y(z)

b) 1−z−1T Y(z)

c) 1+z1T Y(z)

d) None of the mentioned

8. The frequency response H(ω) will be considerably distorted with respect to H(jΩ).

a) True

b) False

9. The equation for H_{eq}(s) is ∑MK=0bKsK∑NK=0aKsK.

a) True

b) False

10. Which of the following is the correct relation between ‘s’ and ‘z’?

a) z=1/(1+sT)

b) s=1/(1+zT)

c) z=1/(1-sT)

d) none of the mentioned

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