Laboratory Manual - King Fahd University of Petroleum and Minerals
Laboratory Manual - King Fahd University of Petroleum and Minerals
Laboratory Manual - King Fahd University of Petroleum and Minerals
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The filter parameters are as follows:<br />
a) Low frequency gain=K<br />
w 1/ C C R R<br />
b)<br />
o<br />
1 2 1 2<br />
wo C R C R C R C R K<br />
<br />
Q C1C 2R1 R2<br />
<br />
C<br />
2<br />
R<br />
1<br />
R 2<br />
R<br />
(1 ) 1<br />
C<br />
Q<br />
<br />
K<br />
1<br />
<br />
<br />
C<br />
1<br />
R<br />
1<br />
R<br />
2<br />
R<br />
2<br />
C2<br />
c)<br />
1 1 2 1 2 2 1 1<br />
d)<br />
High pass realization<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
1<br />
The associated HPF is obtained from LPF by exchanging places <strong>of</strong> resistors <strong>and</strong><br />
capacitors (CR/RC transformation).<br />
v s<br />
R 2<br />
3<br />
2<br />
+Vcc<br />
7<br />
C 1<br />
R 1<br />
C 2<br />
-<br />
+<br />
741<br />
4<br />
-Vcc<br />
6<br />
R 3<br />
v o<br />
R 4<br />
Figure 2: Second-order high pass filter<br />
2<br />
vo<br />
sK<br />
THP<br />
() s <br />
v<br />
2<br />
s<br />
vs<br />
s s( C1R1 C2R1 C2R2 C2R2K ) /( C1C 2R1R 2) 1/( C1C 2R1R<br />
2)<br />
Thus, the filter parameters are as follows:<br />
a) High frequency gain=K<br />
w 1/ C C R R<br />
b)<br />
o<br />
1 2 1 2<br />
wo C R C R C R C R K<br />
Q C1C 2R1 R2<br />
<br />
R<br />
1<br />
C<br />
1<br />
C 2<br />
R<br />
(1 ) 2<br />
C<br />
Q<br />
<br />
K<br />
2<br />
<br />
<br />
R<br />
2<br />
C<br />
1<br />
C<br />
2<br />
R<br />
1<br />
C<br />
1<br />
1 1 2 1 2 2 2 2<br />
c) <br />
d)<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
1<br />
59