he response of a system, h(t) is given as in Figure 1 below where the amplitude of this signal is 7. Then,this system is excited by an input of x(t) = (u(t) × (u(-t)+u(t))) /1. 1)Illustrate the input signal, x(t). 2)Calculate the convolution output of the system y(t) = x(t) ∗ h(t). Next determine y(t) when t is 1 sec 2)Prove the solution in Q2 is comparable when solving in frequency domain (Laplace). Next, sketch the signal for convolution output.

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.1P: Given the complex numbers A1=630 and A2=4+j5, (a) convert A1 to rectangular form: (b) convert A2 to...
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The response of a system, h(t) is given as in Figure 1 below where the amplitude
of this signal is 7. Then,this system is excited by an input of x(t) = (u(t) × (u(-t)+u(t))) /1.

1)Illustrate the input signal, x(t).

2)Calculate the convolution output of the system y(t) = x(t) ∗ h(t). Next
determine y(t) when t is 1 sec

2)Prove the solution in Q2 is comparable when solving in frequency domain
(Laplace). Next, sketch the signal for convolution output.

 

h(t)
Figure 1
[Rajah 1]
Transcribed Image Text:h(t) Figure 1 [Rajah 1]
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