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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

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

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V IN<br />

CIN<br />

+V CC<br />

+V CC<br />

R B<br />

R B<br />

V MID<br />

R B<br />

V MID<br />

R 1<br />

C 2<br />

R 2<br />

R 3<br />

V MID<br />

C 1<br />

+V CC<br />

CB RB to fur<strong>the</strong>r filter stages<br />

Figure 16–49. Bias<strong>in</strong>g a Second-Order MFB Low-Pass Filter<br />

Active Filter Design Techniques<br />

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

<strong>The</strong> <strong>in</strong>put buffer decouples <strong>the</strong> filter from <strong>the</strong> signal source. <strong>The</strong> filter itself is biased via<br />

<strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g amplifier <strong>in</strong>put. For that purpose, <strong>the</strong> bias voltage is taken from <strong>the</strong> output<br />

of a V MID generator with low output impedance. <strong>The</strong> op amp operates as a difference amplifier<br />

and subtracts <strong>the</strong> bias voltage of <strong>the</strong> <strong>in</strong>put buffer from <strong>the</strong> bias voltage of <strong>the</strong> V MID<br />

generator, thus yield<strong>in</strong>g a dc potential of V MID at zero <strong>in</strong>put signal.<br />

A low-cost alternative is to remove <strong>the</strong> op amp and to use a passive bias<strong>in</strong>g network<br />

<strong>in</strong>stead. However, to keep load<strong>in</strong>g effects at a m<strong>in</strong>imum, <strong>the</strong> values for R B must be significantly<br />

higher than without <strong>the</strong> op amp.<br />

<strong>The</strong> bias<strong>in</strong>g of a Sallen-Key and an MFB high-pass filter is shown <strong>in</strong> Figure 16–50.<br />

<strong>The</strong> <strong>in</strong>put capacitors of high-pass filters already provide <strong>the</strong> ac-coupl<strong>in</strong>g between filter and<br />

signal source. Both circuits use <strong>the</strong> V MID generator from Figure 16–50 for bias<strong>in</strong>g. While<br />

<strong>the</strong> MFB circuit is biased at <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g amplifier <strong>in</strong>put, <strong>the</strong> Sallen-Key high-pass is<br />

biased via <strong>the</strong> only dc path available, which is R 1. In <strong>the</strong> ac circuit, <strong>the</strong> <strong>in</strong>put signals travel<br />

via <strong>the</strong> low output impedance of <strong>the</strong> op amp to ground.<br />

V OUT<br />

V MID<br />

16-49

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