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Laboratory Manual - King Fahd University of Petroleum and Minerals

Laboratory Manual - King Fahd University of Petroleum and Minerals

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B<strong>and</strong>pass realization<br />

A circuit that realize biquadratic BPF based on a single op amp is shown in Figure 3<br />

known as Delyiannis-Friend biquad<br />

v s<br />

R 1<br />

C 1<br />

R 2<br />

R 3<br />

C 2<br />

2<br />

3<br />

7<br />

-<br />

741<br />

+<br />

+Vcc<br />

4<br />

-Vcc<br />

6<br />

v o<br />

T<br />

BP<br />

v<br />

() s <br />

<br />

Figure 3: A second-order BPF based on a single op amp.<br />

s / C R<br />

o<br />

1 1<br />

2<br />

vs<br />

s s( C1 C2) /( C1C 2R2 ) ( R1 R3 ) / C1C 2R1R 2R3<br />

Therefore, the filter parameters are as follows:<br />

1/ C1R1 C2R2<br />

a) gain= <br />

( C C ) / C R C R ( C C<br />

)<br />

b) w <br />

o<br />

1 2 2 2 1 1 1 2<br />

R<br />

R<br />

1 3<br />

C C R R R<br />

1 2 1 2 3<br />

o<br />

( C C )<br />

BW w <br />

Q C C R<br />

c)<br />

1 2<br />

1 2 2<br />

d)<br />

w R R C C R<br />

o<br />

Q BW RR C C<br />

1 3 1 2 2<br />

1 3<br />

1 2<br />

PRELAB WORK<br />

Students must perform the following calculations <strong>and</strong> SPICE before coming to the<br />

lab.<br />

Design:<br />

1. Design the circuit <strong>of</strong> Figure 1 such that f o =12.5kHz, Q=5, the dc gain is not specified.<br />

Use C 1 =C 2 =C <strong>and</strong> R 1 =R 2 =R.<br />

2. Design the circuit <strong>of</strong> Figure 3 to achieve f o =10kHz, Q=3 <strong>and</strong> gain <strong>of</strong> 5. Use<br />

C 1 =C 2 =5nF.<br />

60

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