Laboratory Manual - King Fahd University of Petroleum and Minerals

General
(bilinear)
filter
a s a
Ts ()
s w
1 0
o
a
20 log| o
|
w o
20 log|a 1 |
|T| dB
20 dB
decade
0 w o | | w [log]
a 1
When the zero greater than the
pole.
a o
R 1
C 1
R 2
C 2
+
V i +
V o
C 2 R 2 = 1 w o
C 1 R 1 = a 1
R 2
DC gain =
R1
a o
C 1
HF gain =
C2
|T| dB
20 log|a 1 |
All-pass
filter
s w0
T()
s a1
s w
o
1
( jw) tan ( w / w )
o
1
tan ( ww / o )
1
2 tan ( ww / o )
0 w [log]
R 1
+
+
V
i R
V o
C
0 w o w
CR 1 = 1 w o
Flat gain (a 1) = 1
90 o
R 1
180 o
Figure 1: Different types of first-order filters
EQUIPMENTS &COMPONENTS
1. Digital Oscilloscope, Bread Board, Digital Multi-Meter, Signal generator
2. DC supplies ±15V from the Board.
3. Resistors: 10kΩ (2 NOs), 3.84kΩ, 3.46kΩ, 0.1kΩ, 10kΩ, 100kΩ.
4. Capacitors: C=50nF, 3.54nF, 1μF
PRELAB WORK
Students must perform the following calculations and SPICE before the lab.
Design:
1. Design the LPF to have a 3dB frequency at 10kHz, dc gain of 10 and input
resistance of 10kΩ.
2. Using R 1 =10kΩ, design the HPF to achieve a corner frequency at 10 4 rad/s and
HF gain of 10.
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