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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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Hz<br />

Vn – Input Noise Voltage – Vrms/<br />

<strong>10</strong>00<br />

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

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

1/f Noise<br />

White Noise<br />

Noise Voltage<br />

fnc<br />

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

f – Frequency – Hz<br />

Figure <strong>10</strong>–6. TLV2772 <strong>Op</strong> Amp Noise Characteristics<br />

<strong>10</strong>.5.2 <strong>The</strong> Corner Frequency<br />

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

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

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

<strong>The</strong> po<strong>in</strong>t <strong>in</strong> <strong>the</strong> frequency spectrum where 1/f noise and white noise are equal is referred<br />

to as <strong>the</strong> noise corner frequency, f nc. Note on <strong>the</strong> graph <strong>in</strong> Figure <strong>10</strong>–6 that <strong>the</strong> actual noise<br />

voltage is higher at f nc due to <strong>the</strong> root-mean-square addition of noise sources as def<strong>in</strong>ed<br />

<strong>in</strong> Paragraph <strong>10</strong>.2.4.<br />

f nc can be determ<strong>in</strong>ed visually from <strong>the</strong> graph <strong>in</strong> Figure <strong>10</strong>–6. It appears a little above<br />

1 kHz. This was done by:<br />

Tak<strong>in</strong>g <strong>the</strong> white noise portion of <strong>the</strong> curve, and extrapolat<strong>in</strong>g it down to <strong>10</strong> Hz as<br />

a horizontal l<strong>in</strong>e.<br />

Tak<strong>in</strong>g <strong>the</strong> portion of <strong>the</strong> p<strong>in</strong>k noise from <strong>10</strong> Hz to <strong>10</strong>0 Hz, and extrapolat<strong>in</strong>g it as a<br />

straight l<strong>in</strong>e.<br />

<strong>The</strong> po<strong>in</strong>t where <strong>the</strong> two <strong>in</strong>tercept is fnc, <strong>the</strong> po<strong>in</strong>t where <strong>the</strong> white noise and p<strong>in</strong>k<br />

noise are equal <strong>in</strong> amplitude. <strong>The</strong> total noise is <strong>the</strong>n 2 x white noise specification<br />

(from Paragraph <strong>10</strong>.2.4). This would be about 17 nV Hz for <strong>the</strong> TLV2772.<br />

This is good enough for most applications. As can be seen from <strong>the</strong> actual noise plot <strong>in</strong><br />

Figure <strong>10</strong>–6, small fluctuations make precise calculation impossible. <strong>The</strong>re is a precise<br />

method, however:<br />

Determ<strong>in</strong>e <strong>the</strong> 1/f noise at <strong>the</strong> lowest possible frequency.<br />

<strong>10</strong>-13

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