Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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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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Transcribed Image Text: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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