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EE313 Linear Systems and Signals
Fall 2010
Initial conversion of content to PowerPoint
by Dr. Wade C. Schwartzkopf
Prof. Brian L. Evans
Dept. of Electrical and Computer Engineering
The University of Texas at Austin
System Realization
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View Full Document 20  2
Passive Circuit Elements
•
Laplace transforms
with zerovalued
initial conditions
•
Capacitor
•
Inductor
•
Resistor
( 29
( 29 ( 29
( 29
( 29
( 29
s
L
s
I
s
V
s
H
s
I
s
L
s
V
dt
di
L
t
v
=
=
=
=
( 29
( 29 ( 29
( 29
( 29
( 29
( 29
( 29
s
C
s
I
s
V
s
H
s
I
s
C
s
V
s
V
s
C
s
I
dt
dv
C
t
i
1
1
=
=
=
=
=
( 29 ( 29
( 29 ( 29
( 29
( 29
( 29
R
s
I
s
V
s
H
s
I
R
s
V
t
i
R
t
v
=
=
=
=
+
–
v
(
t
)
+
–
v
(
t
)
+
–
v
(
t
)
20  3
FirstOrder RC Lowpass Filter
x
(
t
)
y
(
t
)
+
+
C
R
X(s)
Y(s)
+
+
R
s
C
1
Time domain
Laplace domain
C
R
s
C
R
s
X
s
Y
s
X
s
C
R
s
C
s
Y
s
I
s
C
s
Y
s
C
R
s
X
s
I
1
1
)
(
)
(
)
(
1
1
)
(
)
(
1
)
(
1
)
(
)
(
+
=
+
=
=
+
=
i
(
t
)
I(s)
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View Full Document 20  4
FirstOrder RC Highpass Filter
x
(
t
)
y
(
t
)
+
+
R
C
X(s)
Y(s)
+
+
s
C
1
Time domain
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This note was uploaded on 02/16/2011 for the course ECE 313 taught by Professor Evans during the Spring '11 term at University of Texas at Austin.
 Spring '11
 EVANS

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