e e 2415 lecture 16 2 nd order high pass, low pass and band reject filters
TRANSCRIPT
![Page 1: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/1.jpg)
E E 2415
Lecture 162nd Order High Pass, Low Pass and Band Reject Filters
![Page 2: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/2.jpg)
2nd Order Low Pass Filter (1/8)
Vin
~
R jL
-jC
+
Vo-
~
![Page 3: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/3.jpg)
2nd Order Low Pass Filter (2/8)
![Page 4: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/4.jpg)
2nd Order Low Pass Filter (3/8)
1
2
2
90 tan
1
os
os
oo
so
QH Q
Q
![Page 5: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/5.jpg)
2nd Order Low Pass Filter (4/8)
Two Poles
![Page 6: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/6.jpg)
2nd Order Low Pass Filter (5/8)
![Page 7: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/7.jpg)
2nd Order Low Pass Filter (6/8)
Slope is -40 db/decade
![Page 8: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/8.jpg)
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( )
![Page 9: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/9.jpg)
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( )
![Page 10: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/10.jpg)
2nd Order High Pass Filter (1/8)
Vin
~
R
jL
-jC
+
Vo-
~
![Page 11: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/11.jpg)
2nd Order High Pass Filter (2/8)
![Page 12: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/12.jpg)
2nd Order High Pass Filter (3/8)
![Page 13: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/13.jpg)
2nd Order High Pass Filter (4/8)
Two Zeros at origin
Two Poles
![Page 14: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/14.jpg)
2nd Order High Pass Filter (5/8)
![Page 15: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/15.jpg)
2nd Order High Pass Filter (6/8)
Slope is 40 db/decade
![Page 16: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/16.jpg)
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( )
![Page 17: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/17.jpg)
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( )
![Page 18: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/18.jpg)
2nd Order Band Reject Filter (1/4)
Vin
~ ~
R
jL
-jC
+
Vo
-
![Page 19: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/19.jpg)
2nd Order Band Reject Filter (2/4)
![Page 20: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/20.jpg)
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( )
![Page 21: E E 2415 Lecture 16 2 nd Order High Pass, Low Pass and Band Reject Filters](https://reader036.vdocuments.net/reader036/viewer/2022062318/5516e2e3550346fe558b45ce/html5/thumbnails/21.jpg)
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( )