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

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

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Practical Design H<strong>in</strong>ts<br />

16-48<br />

low-pass filter, <strong>the</strong> RC network can affect <strong>the</strong> filter characteristic. <strong>The</strong>n it is necessary to<br />

ei<strong>the</strong>r <strong>in</strong>clude <strong>the</strong> bias<strong>in</strong>g network <strong>in</strong>to <strong>the</strong> filter calculations, or to <strong>in</strong>sert an <strong>in</strong>put buffer<br />

between bias<strong>in</strong>g network and <strong>the</strong> actual filter circuit, as shown <strong>in</strong> Figure 16–48.<br />

V IN<br />

CIN<br />

+V CC<br />

R B<br />

R B<br />

V MID<br />

Figure 16–48. Bias<strong>in</strong>g a Sallen-Key Low-Pass<br />

VMID R1 R2 VMID<br />

VMID C IN ac-couples <strong>the</strong> filter, block<strong>in</strong>g any dc level <strong>in</strong> <strong>the</strong> signal source. V MID is derived from<br />

V CC via <strong>the</strong> voltage divider. <strong>The</strong> op amp operates as a voltage follower and as an impedance<br />

converter. V MID is applied via <strong>the</strong> dc path, R 1 and R 2, to <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put of <strong>the</strong><br />

filter amplifier.<br />

Note that <strong>the</strong> parallel circuit of <strong>the</strong> resistors, R B , toge<strong>the</strong>r with C IN create a high-pass filter.<br />

To avoid any effect on <strong>the</strong> low-pass characteristic, <strong>the</strong> corner frequency of <strong>the</strong> <strong>in</strong>put highpass<br />

must be low versus <strong>the</strong> corner frequency of <strong>the</strong> actual low-pass.<br />

<strong>The</strong> use of an <strong>in</strong>put buffer causes no load<strong>in</strong>g effects on <strong>the</strong> low-pass filter, thus keep<strong>in</strong>g<br />

<strong>the</strong> filter calculation simple.<br />

In <strong>the</strong> case of a higher-order filter, all follow<strong>in</strong>g filter stages receive <strong>the</strong>ir bias level from<br />

<strong>the</strong> preced<strong>in</strong>g filter amplifier.<br />

Figure 16–49 shows <strong>the</strong> bias<strong>in</strong>g of an multiple feedback (MFB) low-pass filter.<br />

C 1<br />

C 2<br />

+V CC<br />

V OUT

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