Problem 2Let H₁ and H₂ be two continuous-time LTI systems with impulse responses hi(t) and h₂(t), respectively.(a) Let H3 be the series connection of H₁ and H₂, i.e.,H3{x(t)} = H₂ {H₁{x(t)}}.Show that H3 is also a LTI system.(b) Let H4 be the parallel connection of H₁ and H₂, i.e.,Show that H4 is also a LTI system.H4{x(t)} = H₁ {x(t)} + H₂2{x(t)}.

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Answered: Show that H4 is also a LTI system.

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Electrical Engineering

Show that H4 is also a LTI system.

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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Question

Problem 2
Let H₁ and H₂ be two continuous-time LTI systems with impulse responses hi(t) and h₂(t), respectively.
(a) Let H3 be the series connection of H₁ and H₂, i.e.,
H3{x(t)} = H₂ {H₁{x(t)}}.
Show that H3 is also a LTI system.
(b) Let H4 be the parallel connection of H₁ and H₂, i.e.,
Show that H4 is also a LTI system.
H4{x(t)} = H₁ {x(t)} + H₂2{x(t)}.

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