6.4-5. Consider the sampled-data systems with the following characteristic equations: (i) z 0.199 = 0 (v) z² (vi) z² - 1 = 0 (ii) z (iii) z (vii) z² - 2z+ 0.99 = 0 (iv) z + 0.9 = 0 (a) What can you determine about the system natural-response characteristics for each system, for T = 0.2 s? 0.99 = 0 0.19 = 0 1.9z+ 0.90 (b) Repeat part (a) for T = 2 s. (c) For a given characteristic equation as a function of z, which parameters of the transient response vary with the sample period T and which are independent of T2

6.4-5. Consider the sampled-data systems with the following characteristic equations: (i) z 0.199 = 0 (v) z² (vi) z² - 1 = 0 (ii) z (iii) z (vii) z² - 2z+ 0.99 = 0 (iv) z + 0.9 = 0 (a) What can you determine about the system natural-response characteristics for each system, for T = 0.2 s? 0.99 = 0 0.19 = 0 1.9z+ 0.90 (b) Repeat part (a) for T = 2 s. (c) For a given characteristic equation as a function of z, which parameters of the transient response vary with the sample period T and which are independent of T2

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Quantization and Resolution

Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.

Probability of Error

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6.4-5. Consider the sampled-data systems with the following characteristic equations:
(i) z 0.199 = 0
(v) z² 1.9z+0.9 = 0
(vi) z² - 1 = 0
(ii) z0.99 = 0
(iii) z- 0.19 = 0
(vii) z² 2z+0.99 = 0
(iv) z +0.9 = 0
-
(a) What can you determine about the system natural-response characteristics for each system, for
T = 0.2 s?
(b) Repeat part (a) for T = 2 s.
(c) For a given characteristic equation as a function of z, which parameters of the transient response vary
with the sample period T, and which are independent of T?

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