2) Transfer function of a linear, time invariant and stable system is given as : 1 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.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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2)
Transfer function of a linear, time invariant and stable system is given as :
1
H(s) =
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.
s² – 8s + R
Transcribed Image Text:2) Transfer function of a linear, time invariant and stable system is given as : 1 H(s) = 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. s² – 8s + R
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