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x(t) LTI System y(1) H(s) Figure 1. Transfer function of a linear, time invariant and stable system is given as : H(s) s2 – 8s + R O Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12. ) Calculate the impulse response h(t) of the system for R=-9 and R=12 . O Investigate whether this system is causal, FIR/IIR for each R value given above?

x(t) LTI System y(1) H(s) Figure 1. Transfer function of a linear, time invariant and stable system is given as : H(s) s2 – 8s + R O Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12. ) Calculate the impulse response h(t) of the system for R=-9 and R=12 . O Investigate whether this system is causal, FIR/IIR for each R value given above?

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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x(t) LTI System y(1) H(s) Figure 1. Transfer function of a linear, time invariant and stable system is given as : H(s) s2 – 8s + R a) Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12. b) Calculate the impulse response h(t) of the system for R=-9 and R=12 . c) Investigate whether this system is causal, FIR/IIR for each R value given above? d) x(t) = 38(t)– e'u(-t) signal is applied to the input of this system when R=-9. Calculate the output of the system, y(t) using Laplace transform properties.
Transcribed Image Text:x(t) LTI System y(1) H(s) Figure 1. Transfer function of a linear, time invariant and stable system is given as : H(s) s2 – 8s + R a) Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12. b) Calculate the impulse response h(t) of the system for R=-9 and R=12 . c) Investigate whether this system is causal, FIR/IIR for each R value given above? d) x(t) = 38(t)– e'u(-t) signal is applied to the input of this system when R=-9. Calculate the output of the system, y(t) using Laplace transform properties.
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