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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 <strong>The</strong>ory and Applications<br />

Types of Noise<br />

as average dc current <strong>in</strong>creases, and <strong>in</strong>creases as average dc current decreases. This<br />

can be an elegant way of determ<strong>in</strong><strong>in</strong>g if shot noise is a dom<strong>in</strong>ant effect <strong>in</strong> <strong>the</strong> op amp circuit<br />

be<strong>in</strong>g designed. If possible, decrease <strong>the</strong> average dc current by a factor of <strong>10</strong>0 and see<br />

if <strong>the</strong> overall noise <strong>in</strong>creases by a factor of <strong>10</strong>. In <strong>the</strong> example above:<br />

E (<strong>10</strong>–<strong>10</strong>)<br />

sh 1.38 <strong>10</strong>23 2(20000 20)<br />

298<br />

(1.6 <strong>10</strong>19 ) (1 <strong>10</strong>5 650 nV –124 dBV<br />

)<br />

<strong>10</strong>.3.2 <strong>The</strong>rmal Noise<br />

<strong>The</strong> shot noise voltage does <strong>in</strong>crease by a factor of <strong>10</strong>, or 20 dB.<br />

<strong>The</strong>rmal noise is sometimes referred to as Johnson noise after its discoverer. It is generated<br />

by <strong>the</strong>rmal agitation of electrons <strong>in</strong> a conductor. Simply put, as a conductor is heated,<br />

it will become noisy. Electrons are never at rest; <strong>the</strong>y are always <strong>in</strong> motion. Heat disrupts<br />

<strong>the</strong> electrons’ response to an applied potential. It adds a random component to <strong>the</strong>ir motion<br />

(Figure <strong>10</strong>–3). <strong>The</strong>rmal noise only stops at absolute zero.<br />

Figure <strong>10</strong>–3. <strong>The</strong>rmal Noise<br />

Like shot noise, <strong>the</strong>rmal noise is spectrally flat or has a uniform power density (it is white),<br />

but <strong>the</strong>rmal noise is <strong>in</strong>dependent of current flow.<br />

At frequencies below <strong>10</strong>0 MHz, <strong>the</strong>rmal noise can be calculated us<strong>in</strong>g Nyquist’s relation:<br />

or<br />

Eth 4kTRB<br />

(<strong>10</strong>–11)<br />

<strong>10</strong>-7

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