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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

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