# Backward Difference Method

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

1. The equation for Heq(s) is ∑MK=0bKsK∑NK=0aKsK.
a) True
b) False

2. 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

3. 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

4. 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

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. The frequency response H(ω) will be considerably distorted with respect to H(jΩ).
a) True
b) False

7. 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

8. An analog high pass filter can be mapped to a digital high pass filter.
a) True
b) False

9. 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

10. 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
.