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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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<strong>Op</strong> Amp Noise<br />

<strong>10</strong>.4.3 Red/Brown Noise<br />

<strong>10</strong>.5 <strong>Op</strong> Amp Noise<br />

<strong>10</strong>-12<br />

Red noise is not universally accepted as a noise type. Many sources omit it and go straight<br />

to brown, attribut<strong>in</strong>g red characteristics to brown. This has more to do with aes<strong>the</strong>tics than<br />

it does anyth<strong>in</strong>g else (if brown noise is <strong>the</strong> low end of <strong>the</strong> spectrum, <strong>the</strong>n p<strong>in</strong>k noise should<br />

be named tan). So if p<strong>in</strong>k noise is p<strong>in</strong>k, <strong>the</strong>n <strong>the</strong> low end of <strong>the</strong> spectrum should be red.<br />

Red noise is named for a connection with red light, which is on <strong>the</strong> low end of <strong>the</strong> visible<br />

light spectrum. But <strong>the</strong>n this noise simulates Brownian motion, so perhaps it should be<br />

called Brown. Red/brown noise has a –6 dB/octave frequency response and a frequency<br />

spectrum of 1/f 2 exclud<strong>in</strong>g dc.<br />

Red/brown noise is found <strong>in</strong> nature. <strong>The</strong> acoustic characteristics of large bodies of water<br />

approximate red/brown noise frequency response.<br />

Popcorn and avalanche noise approximate a red/brown characteristic, but <strong>the</strong>y are more<br />

correctly def<strong>in</strong>ed as p<strong>in</strong>k noise where <strong>the</strong> frequency characteristic has been shifted down<br />

as far as possible <strong>in</strong> frequency.<br />

This section describes <strong>the</strong> noise <strong>in</strong> op amps and associated circuits.<br />

<strong>10</strong>.5.1 <strong>The</strong> Noise Corner Frequency and Total Noise<br />

<strong>Op</strong> amp noise is never specified as shot, <strong>the</strong>rmal, or flicker, or even white and p<strong>in</strong>k. Noise<br />

for audio op amps is specified with a graph of equivalent <strong>in</strong>put noise versus frequency.<br />

<strong>The</strong>se graphs usually show two dist<strong>in</strong>ct regions:<br />

Lower frequencies where p<strong>in</strong>k noise is <strong>the</strong> dom<strong>in</strong>ant effect<br />

Higher frequencies where white noise is <strong>the</strong> dom<strong>in</strong>ant effect<br />

Actual measurements for <strong>the</strong> TLV2772 show that <strong>the</strong> noise has both white and p<strong>in</strong>k characteristics<br />

(Figure <strong>10</strong>–6). <strong>The</strong>refore, <strong>the</strong> noise equations for each type of noise are not<br />

able to approximate <strong>the</strong> total noise out of <strong>the</strong> TLV2772 over <strong>the</strong> entire range shown on<br />

<strong>the</strong> graph. It is necessary to break <strong>the</strong> noise <strong>in</strong>to two parts — <strong>the</strong> p<strong>in</strong>k part and <strong>the</strong> white<br />

part — and <strong>the</strong>n add those parts toge<strong>the</strong>r to get <strong>the</strong> total op amp noise us<strong>in</strong>g <strong>the</strong> rootmean-square<br />

law of Paragraph <strong>10</strong>.2.4.

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