a) Determine the algebraic representation of the transfer function of the LTI system above. It is known that one of the poles of the transfer function of the above system is s= -4.b) Draw the region of convergence (ROC) of the transfer function in the plane along with the location of the zero-poles (if any).c) Determine the impulse response of the above LTI system!d) Is the above LTI system a Causal System? Explain your answer! It is known that a linear time invariant (LTI) system with the relation between the input signalx(t) and the output signal y(t) is given by the following differential equation:d³y(t)d²y(t)dt2dy(t)dx(t)d²x(t)- 108y(t) = 16x(t) + 4+5dt3dtdtdt2It is also known that the LTI system above is a stable system.

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Answered: It is known that a linear time…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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a) Determine the algebraic representation of the transfer function of the LTI system above. It is known that one of the poles of the transfer function of the above system is s= -4.
b) Draw the region of convergence (ROC) of the transfer function in the plane along with the location of the zero-poles (if any).
c) Determine the impulse response of the above LTI system!
d) Is the above LTI system a Causal System? Explain your answer!

It is known that a linear time invariant (LTI) system with the relation between the input signal
x(t) and the output signal y(t) is given by the following differential equation:
d³y(t)
d²y(t)
dt2
dy(t)
dx(t)
d²x(t)
- 108y(t) = 16x(t) + 4
+5
dt3
dt
dt
dt2
It is also known that the LTI system above is a stable system.

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