a) Based on your understanding, describe the use of Laplace-transform and z-transform in linear time invariant analysis. b) Find Laplace transform and sketch the associated ROC of following function, i. x(t) = (t + 1)e-tu(t) x(t) = e-2"[u(t) – u(t – 4)]. 11. c) Find z-transform and sketch the associated ROC of following function, i) x[n] = )" u[n] + E)* u[n] %3D 11) x[n] = n3"u[n]

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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a) Based on your understanding, describe the use of Laplace-transform and z-transform in linear time invariant analysis.

b) Find Laplace transform and sketch the associated ROC of following function,
i. ?(?)=(?+1)?−??(?)
ii. ?(?)=?−2?[?(?)−?(?−4)].

c) Find z-transform and sketch the associated ROC of following function,
i) ?[?]=(23)??[?]+(16)??[?]
ii) ?[?]=?3??[?]

a) Based on your understanding, describe the use of Laplace-transform and z-transform
in linear time invariant analysis.
b) Find Laplace transform and sketch the associated ROC of following function,
i.
x(t) = (t + 1)e-tu(t)
11.
x(t) = e-2" [u(t) – u(t – 4)].
c) Find z-transform and sketch the associated ROC of following function,
i)
x[n] = )" u[n] + A" u[n]
11)
x[n] = n3"u[n]
Transcribed Image Text:a) Based on your understanding, describe the use of Laplace-transform and z-transform in linear time invariant analysis. b) Find Laplace transform and sketch the associated ROC of following function, i. x(t) = (t + 1)e-tu(t) 11. x(t) = e-2" [u(t) – u(t – 4)]. c) Find z-transform and sketch the associated ROC of following function, i) x[n] = )" u[n] + A" u[n] 11) x[n] = n3"u[n]
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