Being an Signals and Systems Expert, you and your team have been asked by your employer to investigate the LTI system with response h(t), given the input signal is x(t). Figure 1 shows the waveform that represents the x(t) while Figure 2 displays the waveform that represents the h(t). You need to determine the output signal y(t) for the system. input signal, x(t) transfer function, h(t) 5 4 3 -1 -2 -3 -5 5 4 3 -1 -2 -3 -5 -4 -4 -3 -3 -2 -1 -2 0 t -1 Figure 1: The Input Signal, x(t) 1 0 t 2 1 2 3 3 Figure 2: Transfer Function Or Response h(t) 5 5 Hand Computation Tasks (a) Write the equation (in form of piecewise function) that represent both h(t) and x(t). (b) Obtain the output signal y(t) through convolution operation between x(t) and h(t). Show all the steps taken in obtaining the results.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Being an Signals and Systems Expert, you and your team have been asked by your employer to
investigate the LTI system with response h(t), given the input signal is x(t). Figure 1 shows the
waveform that represents the x(t) while Figure 2 displays the waveform that represents the
h(t). You need to determine the output signal y(t) for the system.
input signal, x(t)
transfer function, h(t)
5
4
3
-1
-2
-3
-5
5
4
3
-1
-2
-3
-5
-4
-4
-3
-3
-2
-1
-2
0
t
-1
Figure 1: The Input Signal, x(t)
1
0
t
2
1
2
3
3
Figure 2: Transfer Function Or Response h(t)
5
5
Hand Computation Tasks
(a) Write the equation (in form of piecewise function) that represent both h(t) and x(t).
(b) Obtain the output signal y(t) through convolution operation between x(t) and h(t). Show all
the steps taken in obtaining the results.
Transcribed Image Text:Being an Signals and Systems Expert, you and your team have been asked by your employer to investigate the LTI system with response h(t), given the input signal is x(t). Figure 1 shows the waveform that represents the x(t) while Figure 2 displays the waveform that represents the h(t). You need to determine the output signal y(t) for the system. input signal, x(t) transfer function, h(t) 5 4 3 -1 -2 -3 -5 5 4 3 -1 -2 -3 -5 -4 -4 -3 -3 -2 -1 -2 0 t -1 Figure 1: The Input Signal, x(t) 1 0 t 2 1 2 3 3 Figure 2: Transfer Function Or Response h(t) 5 5 Hand Computation Tasks (a) Write the equation (in form of piecewise function) that represent both h(t) and x(t). (b) Obtain the output signal y(t) through convolution operation between x(t) and h(t). Show all the steps taken in obtaining the results.
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