Matched Z Transformation

Digital Communications Systems

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Matched Z Transformation”.

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) are 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 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 z-domain?
a) 1-eaTz
b) 1-eaTz-1
c) 1-e-aTz-1
d) 1+eaTz-1

5. The factor of the form (s+a) in H(s) is mapped into which of the following factors in z-domain?
a) 1-eaTz
b) 1-eaTz-1
c) 1-e-aTz-1
d) 1+eaTz-1

6. If the factor of the form (s-a) in H(s) is mapped into 1-eaTz-1 in the z-domain, the that kind of transformation is called as ______________
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 method are not 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

10. What should be value of sampling interval T, to avoid aliasing?
a) Zero
b) Sufficiently large
c) Sufficiently small
d) None of the mentioned

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