Digital Signal Processing Questions and Answers – Matched Z Transformation

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
View Answer

Answer: d
Explanation: 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
View Answer

Answer: c
Explanation: 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
View Answer

Answer: a
Explanation: 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.
advertisement
advertisement

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
View Answer

Answer: b
Explanation: 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
View Answer

Answer: c
Explanation: 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
View Answer

Answer: d
Explanation: 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
View Answer

Answer: b
Explanation: We observe that the poles obtained from the matched z-transform are identical to the poles obtained with the impulse invariance method.
advertisement

8. The zero positions obtained from matched z-transform and impulse invariance method are not same.
a) True
b) False
View Answer

Answer: a
Explanation: We observe that the poles obtained from the matched z-transform are identical to the poles obtained with the impulse invariance method. However, the two techniques result in different zero positions.

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
View Answer

Answer: a
Explanation: To preserve the frequency response characteristic of the analog filter, the sampling interval in the matched z-transformation must be properly selected to yield the pole and zero locations at the equivalent position in the z-plane.
advertisement

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
View Answer

Answer: c
Explanation: Aliasing in this matched z-transformation can be avoided by selecting the sampling interval T sufficiently small.

Sanfoundry Global Education & Learning Series – Digital Signal Processing.

To practice all areas of Digital Signal Processing, here is complete set of 1000+ Multiple Choice Questions and Answers.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]

advertisement
advertisement
Subscribe to our Newsletters (Subject-wise). Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!

Youtube | Telegram | LinkedIn | Instagram | Facebook | Twitter | Pinterest
Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

Subscribe to his free Masterclasses at Youtube & discussions at Telegram SanfoundryClasses.