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

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Low-Pass Filter Design<br />

16-12<br />

1st order<br />

2nd order<br />

3rd order<br />

4th order<br />

5th order<br />

6th order<br />

1st order<br />

a=1<br />

2nd order<br />

a 1 , b 1<br />

1st order<br />

a 1<br />

2nd order<br />

a 1 , b 1<br />

1st order<br />

a 1<br />

2nd order<br />

a 1 , b 1<br />

2nd order<br />

a 2 , b 2<br />

2nd order<br />

a 2 , b 2<br />

2nd order<br />

a 2 , b 2<br />

2nd order<br />

a 2 , b 2<br />

2nd order<br />

a 3 , b 3<br />

2nd order<br />

a 3 , b 3<br />

Figure 16–11. Cascad<strong>in</strong>g Filter Stages for Higher-Order Filters<br />

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

its Q. <strong>The</strong>refore, to avoid <strong>the</strong> saturation of <strong>the</strong> <strong>in</strong>dividual stages, <strong>the</strong> filters need to be<br />

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

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

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

Figures 16–12 and 16–13 show a first-order low-pass filter <strong>in</strong> <strong>the</strong> <strong>in</strong>vert<strong>in</strong>g and <strong>in</strong> <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g<br />

configuration.<br />

V IN<br />

Figure 16–12. First-Order Non<strong>in</strong>vert<strong>in</strong>g Low-Pass Filter<br />

R 1<br />

C 1<br />

R 3<br />

R 2<br />

V OUT

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