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

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

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

+5 V<br />

VIN<br />

1 k<br />

0.1 µF<br />

Figure <strong>10</strong>–16. Improved TLC2201 <strong>Op</strong> Amp Circuit<br />

<strong>10</strong>.7 References<br />

_<br />

+<br />

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

+5 V<br />

TLE2201<br />

VOUT<br />

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

References<br />

For frequencies above <strong>10</strong>0 Hz, where <strong>the</strong> 1/f noise from <strong>the</strong> op amp and <strong>the</strong> reference<br />

resistors is negligible, <strong>the</strong> total noise of <strong>the</strong> circuit is:<br />

ETotalrms 0.57 V2 5.73 V2 113.1 V2 113.2 Vrms –78.9 dBV<br />

Signal-to-noise (dB) =<br />

20 log(1V 113.2 V) 20 log(8830) 78.9 dB<br />

(<strong>10</strong>–27)<br />

(<strong>10</strong>–28)<br />

Proper selection of resistors, <strong>the</strong>refore, has yielded a signal-to-noise ratio close to <strong>the</strong><br />

<strong>the</strong>oretical limit for <strong>the</strong> op amp itself. <strong>The</strong> power consumption of <strong>the</strong> circuit, however, has<br />

<strong>in</strong>creased slightly, which may be unacceptable <strong>in</strong> a portable application. Remember, too,<br />

that this signal-to-noise ratio is only at an output level of 0 dBV, an <strong>in</strong>put level of –40 dBV.<br />

If <strong>the</strong> <strong>in</strong>put signal is reduced, <strong>the</strong> signal-to-noise ratio is reduced proportionally.<br />

Music, <strong>in</strong> particular almost never susta<strong>in</strong>s peak levels. <strong>The</strong> average amplitude may be<br />

down 20 dB to 40 dB from <strong>the</strong> peak values. This erodes a 79 dB signal-to-noise ratio to<br />

39 dB <strong>in</strong> quiet passages. If someone “cranks up <strong>the</strong> volume” dur<strong>in</strong>g <strong>the</strong> quiet passages,<br />

noise will become audible. This is done automatically with automatic volume controls. <strong>The</strong><br />

only way a designer can combat this is to <strong>in</strong>crease <strong>the</strong> voltage levels through <strong>the</strong> <strong>in</strong>dividual<br />

stages. If <strong>the</strong> preced<strong>in</strong>g audio stages connect<strong>in</strong>g to this example, for <strong>in</strong>stance, could be<br />

scaled to provide <strong>10</strong> dB more ga<strong>in</strong>, <strong>the</strong> TLC2201 would be handl<strong>in</strong>g an output level of<br />

3.16 V <strong>in</strong>stead of 1 V, which is well with<strong>in</strong> its rail-to-rail limit of 0 V to 4.7 V. This would <strong>in</strong>crease<br />

<strong>the</strong> signal-to-noise ga<strong>in</strong> of this circuit to 88.9 dB — almost <strong>the</strong> same as would have<br />

been possible with a TLE2027 operated off of ±15V! But noise <strong>in</strong> <strong>the</strong> preced<strong>in</strong>g stages<br />

would also <strong>in</strong>crease. Combatt<strong>in</strong>g noise is a difficult problem, and <strong>the</strong>re are always tradeoffs<br />

<strong>in</strong>volved.<br />

(1) Texas Instruments Application Report, Noise Analysis <strong>in</strong> <strong>Op</strong>erational Amplifier<br />

Circuits, SLVA043A, 1999<br />

<strong>10</strong>-23

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