E E 2415
21
E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters
description
E E 2415. Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters. 2 nd Order Low Pass Filter (1/8). 2 nd Order Low Pass Filter (2/8). 2 nd Order Low Pass Filter (3/8). 2 nd Order Low Pass Filter (4/8). Two Poles. 2 nd Order Low Pass Filter (5/8). - PowerPoint PPT Presentation
Transcript of E E 2415
E E 2415
Lecture 162nd Order High Pass, Low Pass and Band Reject Filters
2nd Order Low Pass Filter (1/8)
Vin~
R jL
-jC
+
Vo-~
2nd Order Low Pass Filter (2/8)
2nd Order Low Pass Filter (3/8)
1
22
90 tan
1
os
os
oo
so
QH Q
Q
2nd Order Low Pass Filter (4/8)
Two Poles
2nd Order Low Pass Filter (5/8)
2nd Order Low Pass Filter (6/8)
Slope is -40 db/decade
2nd Order Low Pass Filter (7/8)
0.01 0.1 1 10 10080
60
40
20
0
20Bode Plot for 2nd Order Low-Pass
Frequency: Multiples of o
Gai
n in
db
G 10( )
G 2( )
G 1( )
2nd Order Low Pass Filter (8/8)
0.01 0.1 1 10 100190
170
150
130
110
90
70
50
30
10
10Phase Plot for 2nd Order Low-Pass
Frequency: Multiples of o
Deg
rees
P 10( )
P 2( )
P 1( )
2nd Order High Pass Filter (1/8)
Vin~
R
jL
-jC
+
Vo-~
2nd Order High Pass Filter (2/8)
2nd Order High Pass Filter (3/8)
2nd Order High Pass Filter (4/8)
Two Zeros at origin
Two Poles
2nd Order High Pass Filter (5/8)
2nd Order High Pass Filter (6/8)
Slope is 40 db/decade
2nd Order High Pass Filter (7/8)
0.01 0.1 1 10 10080
60
40
20
0
20Bode Plot for 2nd Order High-Pass
Frequency: Multiples of o
Gai
n in
db
G 10( )
G 2( )
G 1( )
2nd Order High Pass Filter (8/8)
0.01 0.1 1 10 10010
10
30
50
70
90
110
130
150
170
190Phase Plot for 2nd Order High-Pass
Frequency: Multiples of o
Deg
rees
P 10( )
P 2( )
P 1( )
2nd Order Band Reject Filter (1/4)
Vin~ ~
R
jL
-jC
+
Vo
-
2nd Order Band Reject Filter (2/4)
2nd Order Band Reject Filter (3/4)
0.01 0.1 1 10 100-40
30
20
10
0
Bode Plot for 2nd Order Band Reject
Frequency: Multiples of o
Gai
n in
db
G m 10( )
G m 2( )
G m 1( )
2nd Order Band Reject Filter (4/4)
0.01 0.1 1 10 100100
50
0
50
100Phase Plot for 2nd Order Band Reject
Frequency: Multiples of o
Deg
rees
P 10( )
P 2( )
P 1( )
