User manual

page 34
Analog System Lab Kit PRO
experiment 4
4.5 Exercise Set 4
Higher order lters are normally designed by cascading second order lters
and,ifneeded,onerst-orderlter.DesignathirdorderButterworthLowpass
Filter using FilterPro and obtain the frequency response as well as the
transientresponseofthelter.Thespecicationsarebandwidthofthelter
d
d
2
1
1
1
1
10
10
1
10
210/
10
1000.1sinsin
N
N
N
N
N
RC
H
V
V
Q
ss
H
V
V
Q
ss
H
s
V
V
Q
ss
H
s
V
V
Q
ss
s
H
Q
Q
HQ
Q
HQ
kHz
Q
kHz
Q
f kHz
f kHz
HQ
V
V
rad s
H
ttt
2
1
2
1
1
1
1
1
2
1
1
4
1
2
4
200
0
03
2
2
0
01
0
2
2
0
0
0
4
th
i
i
i
i
p
p
0
0
0
0
0
2
2
0
2
02
0
0
2
2
0
0
04
0
0
2
2
0
2
2
0
0
2
0
0
0
0
0
0
0
$
$
$
$
$$
$
$
2
~
~
~
~
~
~
~
~
~
~
~
~
~
~
z
~~
~
~
~
~
r
~r
yrr
=
=
++
=
++
=
++
+
=
=
=
=
=
=
=
=
=
=+
-
=
++
+
-
-
-
-
b
b
b
b
a
b
b
_
__
l
l
l
l
k
l
l
i
ii
and
d
d
2
1
1
1
1
10
10
1
10
210/
10
1000.1sinsin
N
N
N
N
N
RC
H
V
V
Q
ss
H
V
V
Q
ss
H
s
V
V
Q
ss
H
s
V
V
Q
ss
s
H
Q
Q
HQ
Q
HQ
kHz
Q
kHz
Q
f kHz
f kHz
HQ
V
V
rad s
H
ttt
2
1
2
1
1
1
1
1
2
1
1
4
1
2
4
200
0
03
2
2
0
01
0
2
2
0
0
0
4
th
i
i
i
i
p
p
0
0
0
0
0
2
2
0
2
02
0
0
2
2
0
0
04
0
0
2
2
0
2
2
0
0
2
0
0
0
0
0
0
0
$
$
$
$
$$
$
$
2
~
~
~
~
~
~
~
~
~
~
~
~
~
~
z
~~
~
~
~
~
r
~r
yrr
=
=
++
=
++
=
++
+
=
=
=
=
=
=
=
=
=
=+
-
=
++
+
-
-
-
-
b
b
b
b
a
b
b
_
__
l
l
l
l
k
l
l
i
ii
.
Design a notch lter (band-stop lter) to eliminate the
50Hz power
life frequency. In order to test this circuit, synthesize a waveform
d
d
2
1
1
1
1
10
10
1
10
210/
10
1000.1sinsin
N
N
N
N
N
RC
H
V
V
Q
ss
H
V
V
Q
ss
H
s
V
V
Q
ss
H
s
V
V
Q
ss
s
H
Q
Q
HQ
Q
HQ
kHz
Q
kHz
Q
f kHz
f kHz
HQ
V
V
rad s
H
ttt
2
1
2
1
1
1
1
1
2
1
1
4
1
2
4
200
0
03
2
2
0
01
0
2
2
0
0
0
4
th
i
i
i
i
p
p
0
0
0
0
0
2
2
0
2
02
0
0
2
2
0
0
04
0
0
2
2
0
2
2
0
0
2
0
0
0
0
0
0
0
$
$
$
$
$$
$
$
2
~
~
~
~
~
~
~
~
~
~
~
~
~
~
z
~~
~
~
~
~
r
~r
yrr
=
=
++
=
++
=
++
+
=
=
=
=
=
=
=
=
=
=+
-
=
++
+
-
-
-
-
b
b
b
b
a
b
b
_
__
l
l
l
l
k
l
l
i
ii
Voltsanduseitastheinputtothelter.
What output did you obtain?
1
2
The circuit described in Figure 4.1 is a universal active lter circuit. While
this circuit can be built with OP-Amps, a specialized IC called UAF42 from
Texas Instruments provides the functionality of the Universal Active Filter.
We encourage you to use this circuit and understand its function.
Datasheet of UAF42 is available from http://www.ti.com.
Also refer to the application notes [7], [11], and [12].
Related Circuits
Notes on Experiment 4: