Digital Signal Processing Multiple Choice Questions 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
Answer: D
Clarification: In this method of transforming analog filter into an equivalent digital filter is to map the poles and zeros of H(s) directly into poles and zeros in the z-plane.
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
Answer: C
Clarification: In the transformation of analog filter into digital filter by matched z-transform method, the poles and zeros of H(s) directly into poles and zeros in the z-plane.
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
Answer: A
Clarification: In this method of transforming analog filter into an equivalent digital filter is to map the poles and zeros of H(s) directly into poles and zeros in the z-plane.
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
Answer: B
Clarification: If T is the sampling interval, then each factor of the form (s-A. in H(s) is mapped into the factor (1-eaTz-1) in the z-domain.
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
Answer: C
Clarification: If T is the sampling interval, then each factor of the form (s+A. in H(s) is mapped into the factor (1-e-aTz-1) in the z-domain.
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
Answer: D
Clarification: If T is the sampling interval, then each factor of the form (s-A. in H(s) is mapped into the factor (1-eaTz-1) in the z-domain. This mapping is called the 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
Answer: B
Clarification: We observe that the poles obtained from the matched z-transform are identical to the poles obtained with the impulse invariance method.
8. The zero positions obtained from matched z-transform and impulse invariance method are not same.
A. True
B. False