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

<strong>10</strong>-20<br />

Vn Vn– Equivalent Input Noise Voltage – nV/ Hz Hz<br />

60<br />

50<br />

40<br />

30<br />

20<br />

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

TYPICAL EQUIVALENT<br />

INPUT NOISE VOLTAGE<br />

vs<br />

FREQUENCY<br />

0<br />

1 <strong>10</strong> <strong>10</strong>0<br />

f – Frequency – Hz<br />

Figure <strong>10</strong>–14. TLC2201 <strong>Op</strong> Amp Noise Performance<br />

VDD = 5 V<br />

RS = 20 Ω<br />

TA = 25°C<br />

1 k <strong>10</strong> k<br />

<strong>The</strong> first circuit change <strong>in</strong> this example is to change <strong>the</strong> TLE2027 to a TLC2201. Visually,<br />

<strong>the</strong> corner frequency fnc appears to be somewhere around 20 Hz (from Paragraph<br />

<strong>10</strong>.5.2), <strong>the</strong> lower frequency limit of <strong>the</strong> band we are <strong>in</strong>terested <strong>in</strong>. This is good, it means<br />

for all practical purposes <strong>the</strong> 1/f noise can be discounted. It has 8 nV Hz noise <strong>in</strong>stead<br />

of 2.5 nV Hz , and from Paragraph <strong>10</strong>.2.5:<br />

To beg<strong>in</strong> with, calculate <strong>the</strong> root Hz part: 20000 20 141.35.<br />

Multiply<strong>in</strong>g this by <strong>the</strong> noise spec: 8 141.35 1.131 V, which is <strong>the</strong> equivalent<br />

<strong>in</strong>put noise (EIN). <strong>The</strong> output noise equals <strong>the</strong> <strong>in</strong>put noise multiplied by <strong>the</strong> ga<strong>in</strong>,<br />

which is <strong>10</strong>0 (40 dB).<br />

<strong>The</strong> signal-to-noise ratio can be now be calculated:<br />

1.131 V <strong>10</strong>0 113.1 V<br />

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

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

(<strong>10</strong>–22)<br />

Pretty good, but <strong>10</strong> dB less than would have been possible with a TLE2027. If this is not<br />

acceptable (lets say for 16-bit accuracy), one is forced to generate a ±15-V supply. Let’s<br />

suppose for now that 78.9 dB signal-to-noise is acceptable, and build <strong>the</strong> circuit.

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