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Op Amps for Everyone - The Repeater Builder's Technical ...

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Practical Design Hints<br />

+V CC<br />

+V CC<br />

R 2<br />

C R B<br />

C 1 IN VMID<br />

VMID R 1<br />

R 3<br />

V IN R B<br />

C 2<br />

V OUT<br />

R B<br />

+V CC<br />

V MID<br />

V MID<br />

C B<br />

R B<br />

to further filter stages<br />

Figure 16–49.<br />

Biasing a Second-Order MFB Low-Pass Filter<br />

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

the noninverting amplifier input. For that purpose, the bias voltage is taken from the output<br />

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

and subtracts the bias voltage of the input buffer from the bias voltage of the V MID<br />

generator, thus yielding a dc potential of V MID at zero input signal.<br />

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

instead. However, to keep loading effects at a minimum, the values <strong>for</strong> R B must be significantly<br />

higher than without the op amp.<br />

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

<strong>The</strong> input capacitors of high-pass filters already provide the ac-coupling between filter and<br />

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

the MFB circuit is biased at the noninverting amplifier input, the Sallen-Key high-pass is<br />

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

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

Active Filter Design Techniques<br />

16-49

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