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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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or to design for a specific Q:<br />

R 2 R 11 1<br />

2Q <br />

16.6.2 Active <strong>Wien</strong>-Rob<strong>in</strong>son Filter<br />

Band-Rejection Filter Design<br />

<strong>The</strong> <strong>Wien</strong>-Rob<strong>in</strong>son bridge <strong>in</strong> Figure 16–39 is a passive band-rejection filter with differential<br />

output. <strong>The</strong> output voltage is <strong>the</strong> difference between <strong>the</strong> potential of a constant voltage<br />

divider and <strong>the</strong> output of a band-pass filter. Its Q-factor is close to that of <strong>the</strong> tw<strong>in</strong>-T circuit.<br />

To achieve higher values of Q, <strong>the</strong> filter is connected <strong>in</strong>to <strong>the</strong> feedback loop of an amplifier.<br />

Figure 16–39. Passive <strong>Wien</strong>-Rob<strong>in</strong>son Bridge<br />

V IN<br />

VIN C R<br />

Figure 16–40. Active <strong>Wien</strong>-Rob<strong>in</strong>son Filter<br />

R 4<br />

R 3<br />

R 2<br />

C<br />

R<br />

R<br />

C<br />

2R 1<br />

C R 1<br />

<strong>The</strong> active <strong>Wien</strong>-Rob<strong>in</strong>son filter <strong>in</strong> Figure 16–40 has <strong>the</strong> transfer function:<br />

A(s) <br />

with<br />

R 2<br />

R 3<br />

<br />

1 1 s 2<br />

1 3<br />

·s s2<br />

1<br />

and<br />

R 1<br />

R<br />

R 2<br />

R 4<br />

2R 1<br />

V OUT<br />

V OUT<br />

Active Filter Design Techniques<br />

(16–22)<br />

Compar<strong>in</strong>g <strong>the</strong> variables of Equation 16–22 with Equation 16–20 provides <strong>the</strong> equations<br />

that determ<strong>in</strong>e <strong>the</strong> filter parameters:<br />

16-39

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