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

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Low-Pass Filter Design<br />

1st order<br />

1st order<br />

a=1<br />

2nd order<br />

2nd order<br />

a 1<br />

, b 1<br />

3rd order<br />

1st order<br />

a 1<br />

2nd order<br />

a 2<br />

, b 2<br />

4th order<br />

2nd order<br />

a 1<br />

, b 1<br />

2nd order<br />

a 2<br />

, b 2<br />

5th order<br />

1st order<br />

a 1<br />

2nd order<br />

a 2<br />

, b 2<br />

2nd order<br />

a 3<br />

, b 3<br />

6th order<br />

2nd order<br />

a 1<br />

, b 1<br />

2nd order<br />

a 2<br />

, b 2<br />

2nd order<br />

a 3<br />

, b 3<br />

Figure 16–11.<br />

Cascading Filter Stages <strong>for</strong> Higher-Order Filters<br />

Figure 16–10 demonstrated that the higher the corner frequency of a partial filter, the higher<br />

its Q. <strong>The</strong>re<strong>for</strong>e, to avoid the saturation of the individual stages, the filters need to be<br />

placed in the order of rising Q values. <strong>The</strong> Q values <strong>for</strong> each filter order are listed (in rising<br />

order) in Section 16–9, Tables 16–4 through 16–10.<br />

16.3.1 First-Order Low-Pass Filter<br />

Figures 16–12 and 16–13 show a first-order low-pass filter in the inverting and in the noninverting<br />

configuration.<br />

V IN<br />

R 1<br />

C 1<br />

R 2<br />

V OUT<br />

R 3<br />

Figure 16–12.<br />

First-Order Noninverting Low-Pass Filter<br />

16-12

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