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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>10</strong>.1 Introduction<br />

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

Bruce Carter<br />

<strong>The</strong> purpose of op amp circuitry is <strong>the</strong> manipulation of <strong>the</strong> <strong>in</strong>put signal <strong>in</strong> some fashion.<br />

Unfortunately <strong>in</strong> <strong>the</strong> real world, <strong>the</strong> <strong>in</strong>put signal has unwanted noise superimposed on it.<br />

Noise is not someth<strong>in</strong>g most designers get excited about. In fact, <strong>the</strong>y probably wish <strong>the</strong><br />

whole topic would go away. It can, however, be a fasc<strong>in</strong>at<strong>in</strong>g study by itself. A good understand<strong>in</strong>g<br />

of <strong>the</strong> underly<strong>in</strong>g pr<strong>in</strong>ciples can, <strong>in</strong> some cases, be used to reduce noise <strong>in</strong> <strong>the</strong><br />

design.<br />

<strong>10</strong>.2 Characterization<br />

Noise is a purely random signal, <strong>the</strong> <strong>in</strong>stantaneous value and/or phase of <strong>the</strong> waveform<br />

cannot be predicted at any time. Noise can ei<strong>the</strong>r be generated <strong>in</strong>ternally <strong>in</strong> <strong>the</strong> op amp,<br />

from its associated passive components, or superimposed on <strong>the</strong> circuit by external sources.<br />

External noise is covered <strong>in</strong> <strong>Chapter</strong> 17, and is usually <strong>the</strong> dom<strong>in</strong>ant effect.<br />

<strong>10</strong>.2.1 rms versus P-P Noise<br />

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

Instantaneous noise voltage amplitudes are as likely to be positive as negative. When<br />

plotted, <strong>the</strong>y form a random pattern centered on zero. S<strong>in</strong>ce noise sources have amplitudes<br />

that vary randomly with time, <strong>the</strong>y can only be specified by a probability density<br />

function. <strong>The</strong> most common probability density function is Gaussian. In a Gaussian probability<br />

function, <strong>the</strong>re is a mean value of amplitude, which is most likely to occur. <strong>The</strong><br />

probability that a noise amplitude will be higher or lower than <strong>the</strong> mean falls off <strong>in</strong> a bellshaped<br />

curve, which is symmetrical around <strong>the</strong> center (Figure <strong>10</strong>–1).<br />

<strong>10</strong>-1

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