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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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When it is assembled, it oscillates. What went wrong?<br />

<strong>Op</strong> Amp Noise <strong>The</strong>ory and Applications<br />

Putt<strong>in</strong>g It All Toge<strong>the</strong>r<br />

To beg<strong>in</strong> with, it is important to look for potential sources of external noise. <strong>The</strong> way <strong>the</strong><br />

schematic <strong>in</strong> Figure <strong>10</strong>–14 is drawn provides a visual clue to <strong>the</strong> culprit: a long connection<br />

from <strong>the</strong> half-supply voltage reference to <strong>the</strong> high-impedance non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put. Added<br />

to that is a 50-kΩ source impedance, which does not effectively swamp external noise<br />

sources from enter<strong>in</strong>g <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put. <strong>The</strong>re is a big difference between simply<br />

provid<strong>in</strong>g a correct dc operat<strong>in</strong>g po<strong>in</strong>t, and provid<strong>in</strong>g one that has low impedances where<br />

<strong>the</strong>y are needed. Most designers know <strong>the</strong> “fix”, which is to decouple <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put<br />

as shown <strong>in</strong> Figure <strong>10</strong>–15:<br />

<strong>10</strong>0 k<br />

<strong>10</strong>0 k<br />

+5 V<br />

VIN<br />

Figure <strong>10</strong>–15. TLC2201 <strong>Op</strong> Amp Circuit<br />

<strong>10</strong>0 k<br />

0.1 µF<br />

_<br />

+<br />

<strong>10</strong> M<br />

+5 V<br />

TLE2201<br />

VOUT<br />

Better — it stopped oscillat<strong>in</strong>g. Probably a nearby noise source radiat<strong>in</strong>g <strong>in</strong>to <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g<br />

<strong>in</strong>put was provid<strong>in</strong>g enough noise to put <strong>the</strong> circuit <strong>in</strong>to oscillation. <strong>The</strong> capacitor<br />

lowers <strong>the</strong> <strong>in</strong>put impedance of <strong>the</strong> non<strong>in</strong>vert<strong>in</strong>g <strong>in</strong>put and stops <strong>the</strong> oscillation. <strong>The</strong>re is<br />

much more <strong>in</strong>formation on this topic <strong>in</strong> <strong>Chapter</strong> 17, <strong>in</strong>clud<strong>in</strong>g layout effects and component<br />

selection. For now, it is assumed that all of <strong>the</strong>se have been taken <strong>in</strong>to account.<br />

<strong>The</strong> circuit is still slightly noisier than <strong>the</strong> 78.9 dB signal-to-noise ratio given above, especially<br />

at lower frequencies. This is where <strong>the</strong> real work of this example beg<strong>in</strong>s: that of elim<strong>in</strong>at<strong>in</strong>g<br />

component noise.<br />

<strong>The</strong> circuit <strong>in</strong> Figure <strong>10</strong>–15 has 4 resistors. Assum<strong>in</strong>g that <strong>the</strong> capacitor is noiseless (not<br />

always a good assumption), that means four noise sources. For now, only <strong>the</strong> two resistors<br />

<strong>in</strong> <strong>the</strong> voltage divider that forms <strong>the</strong> voltage reference will be considered. <strong>The</strong> capacitor,<br />

however, has transformed <strong>the</strong> white noise from <strong>the</strong> resistors <strong>in</strong>to p<strong>in</strong>k (1/f) noise. From<br />

Paragraph <strong>10</strong>.3.2 and <strong>10</strong>.2.5, <strong>the</strong> noise from <strong>the</strong> resistors and <strong>the</strong> amplifier itself is:<br />

ETotalrms 5.73 V2 5.73 V2 113.1 V2 113.1 Vrms Signal-to-noise (dB) =<br />

20 log(1V 113.1 V) 20 log(8842) 78.9 dB<br />

(<strong>10</strong>–23)<br />

(<strong>10</strong>–24)<br />

So far, so good. <strong>The</strong> amplifier noise is swamp<strong>in</strong>g <strong>the</strong> resistor noise, which will only add<br />

a very slight p<strong>in</strong>kish component at low frequencies. Remember, however, that this noise<br />

<strong>10</strong>-21

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