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4-Take systems with the set of poles and zeros as given. Briefly, discuss their stabil- ity, and explain if they are filters, and if so of what type. Also discuss if there are a set of frequencies that are eliminated. For stable systems, give a rough sketch of the freq. response when we normalize the maximum gain to be equal to 1, then give the transfer function of the system. (You can use a linear scale for your sketch. As there are constants present in the transfer functions, the maximum gains may not be known exactly, however in each case you can assume that the maximum gain, which is the highest gain at the pass-band, is equal to 1.) a) z11, and p₁ = 0.9. = b) 11, and p₁ = -0.9. Contrast the magnitude response in this case, with that of the system in the previous part. Comment on a possible application of this type of a system. c) 1-1, and p₁ = 1.001 d) Explain why, when a system has a complex pole or zero, the complex conjugate of that pole or zero, will also be present.

4-Take systems with the set of poles and zeros as given. Briefly, discuss their stabil- ity, and explain if they are filters, and if so of what type. Also discuss if there are a set of frequencies that are eliminated. For stable systems, give a rough sketch of the freq. response when we normalize the maximum gain to be equal to 1, then give the transfer function of the system. (You can use a linear scale for your sketch. As there are constants present in the transfer functions, the maximum gains may not be known exactly, however in each case you can assume that the maximum gain, which is the highest gain at the pass-band, is equal to 1.) a) z11, and p₁ = 0.9. = b) 11, and p₁ = -0.9. Contrast the magnitude response in this case, with that of the system in the previous part. Comment on a possible application of this type of a system. c) 1-1, and p₁ = 1.001 d) Explain why, when a system has a complex pole or zero, the complex conjugate of that pole or zero, will also be present.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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4-Take systems with the set of poles and zeros as given. Briefly, discuss their stabil- ity, and explain if they are filters, and if so of what type. Also discuss if there are a set of frequencies that are eliminated. For stable systems, give a rough sketch of the freq. response when we normalize the maximum gain to be equal to 1, then give the transfer function of the system. (You can use a linear scale for your sketch. As there are constants present in the transfer functions, the maximum gains may not be known exactly, however in each case you can assume that the maximum gain, which is the highest gain at the pass-band, is equal to 1.) a) z11, and p₁ = 0.9. = b) 11, and p₁ = -0.9. Contrast the magnitude response in this case, with that of the system in the previous part. Comment on a possible application of this type of a system. c) 1-1, and p₁ = 1.001 d) Explain why, when a system has a complex pole or zero, the complex conjugate of that pole or zero, will also be present.
Transcribed Image Text:4-Take systems with the set of poles and zeros as given. Briefly, discuss their stabil- ity, and explain if they are filters, and if so of what type. Also discuss if there are a set of frequencies that are eliminated. For stable systems, give a rough sketch of the freq. response when we normalize the maximum gain to be equal to 1, then give the transfer function of the system. (You can use a linear scale for your sketch. As there are constants present in the transfer functions, the maximum gains may not be known exactly, however in each case you can assume that the maximum gain, which is the highest gain at the pass-band, is equal to 1.) a) z11, and p₁ = 0.9. = b) 11, and p₁ = -0.9. Contrast the magnitude response in this case, with that of the system in the previous part. Comment on a possible application of this type of a system. c) 1-1, and p₁ = 1.001 d) Explain why, when a system has a complex pole or zero, the complex conjugate of that pole or zero, will also be present.
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