Fourier Series and Circuit Analysis
ECE 202
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PSpice Example
R = 50
L = 40 uH
To = 5 us
VA = 10 V
R = 500
−>
R = 10
fo = 1/5 us = 0.2 MHz
Example Fourier Series RL Circuit
VIN
1
0
L
1 2
R
2 0
.PROBE
.TRAN 0.05N
.END
ECE 202
PULSE (0 10 0
4.999U
0.5N 0.5N
5U)
40U
50
50U0
0.5U
Page 12 of 19
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V(1)
V(2)
x(t) = vin(t)
Date/Time run: 11/17/04
10V
5V
0V
0s
Date: November 17, 2004
y(t)
R=50
5us
Example Fourier Series RL Circuit
15us
(A) FourierSeries (active)
10us
Time
Page 1
20us
Temperature: 27.0
Copyright © by Hayder Radha
Page 13 of 19
Time: 00:21:22
25us
ECE 202
V(1)
0.5MHz
V(2)
Date/Time run: 11/17/04
6.0V
4.0V
2.0V
0V
0Hz
Date: November 17, 2004
2.5MHz
3.0MHz
(A) FourierSeries (active)
2.0MHz
3.5MHz
Example Fourier Series RL Circuit
1.5MHz
R=50
1.0MHz
Frequency
Page 1
4.0MHz
Temperature: 27.0
4.5MHz
Copyright © by Hayder Radha
Page 14 of 19
Time: 00:34:15
5.0MHz5.5MHz
ECE 202
V(1)
V(2)
Date/Time run: 11/17/04
10V
5V
0V
0s
Date: November 17, 2004
R=500
5us
Example Fourier Series RL Circuit
15us
(A) FourierSeries (active)
10us
Time
Page 1
20us
Temperature: 27.0
Copyright © by Hayder Radha
Page 15 of 19
Time: 00:25:13
25us
ECE 202
V(1)
0.5MHz
V(2)
Date/Time run: 11/17/04
6.0V
4.0V
2.0V
0V
0Hz
Date: November 17, 2004
2.5MHz
3.0MHz
(A) FourierSeries (active)
2.0MHz
3.5MHz
Example Fourier Series RL Circuit
1.5MHz
R=500
1.0MHz
Frequency
Page 1
4.0MHz
Temperature: 27.0
4.5MHz
Copyright © by Hayder Radha
Page 16 of 19
Time: 00:37:08
5.0MHz5.5MHz
ECE 202
V(1)
V(2)
Date/Time run: 11/17/04
10V
5V
0V
0s
Date: November 17, 2004
R=10
5us
Example Fourier Series RL Circuit
15us
(A) FourierSeries (active)
10us
Time
Page 1
20us
Temperature: 27.0
Copyright © by Hayder Radha
Page 17 of 19
Time: 00:28:02
25us
ECE 202
V(1)
0.5MHz
V(2)
Date/Time run: 11/17/04
6.0V
4.0V
2.0V
0V
0Hz
Date: November 17, 2004
R=10
1.0MHz
2.5MHz
3.0MHz
(A) FourierSeries (active)
2.0MHz
3.5MHz
Example Fourier Series RL Circuit
1.5MHz
Frequency
Page 1
4.0MHz
Temperature: 27.0
4.5MHz
Copyright © by Hayder Radha
Page 18 of 19
Time: 00:39:50
5.0MHz5.5MHz
ECE 202
ECE 202
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