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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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Additional Parameter Information<br />

11-20<br />

GBW specifies <strong>the</strong> ga<strong>in</strong>-bandwidth product of <strong>the</strong> op amp <strong>in</strong> an open loop configuration<br />

and <strong>the</strong> output loaded:<br />

GBW A VD f<br />

(11–5)<br />

GBW is constant for voltage-feedback amplifiers. It does not have much mean<strong>in</strong>g for current-feedback<br />

amplifiers because <strong>the</strong>re is not a l<strong>in</strong>ear relationship between ga<strong>in</strong> and<br />

bandwidth.<br />

Phase marg<strong>in</strong> at unity ga<strong>in</strong> (φ m) is <strong>the</strong> difference between <strong>the</strong> amount of phase shift a signal<br />

experiences through <strong>the</strong> op amp at unity ga<strong>in</strong> and 180:<br />

m 180° @B1<br />

Ga<strong>in</strong> marg<strong>in</strong> is <strong>the</strong> difference between unity ga<strong>in</strong> and <strong>the</strong> ga<strong>in</strong> at 180 phase shift:<br />

Ga<strong>in</strong> marg<strong>in</strong> 1 Ga<strong>in</strong> @180° phase shift<br />

(11–6)<br />

(11–7)<br />

Maximum output-sw<strong>in</strong>g bandwidth (B OM) specifies <strong>the</strong> bandwidth over which <strong>the</strong> output<br />

is above a specified value:<br />

B OM f MAX, while V O V MIN<br />

(11–8)<br />

<strong>The</strong> limit<strong>in</strong>g factor for B OM is slew rate. As <strong>the</strong> frequency gets higher and higher <strong>the</strong> output<br />

becomes slew rate limited and can not respond quickly enough to ma<strong>in</strong>ta<strong>in</strong> <strong>the</strong> specified<br />

output voltage sw<strong>in</strong>g.<br />

In order to make <strong>the</strong> op amp stable, capacitor, C C, is purposely fabricated on chip <strong>in</strong> <strong>the</strong><br />

second stage (Figure 11–8). This type of frequency compensation is termed dom<strong>in</strong>ant<br />

pole compensation. <strong>The</strong> idea is to cause <strong>the</strong> open-loop ga<strong>in</strong> of <strong>the</strong> op amp to roll off to<br />

unity before <strong>the</strong> output phase shifts by 180. Remember that Figure 11–8 is very simplified,<br />

and <strong>the</strong>re are o<strong>the</strong>r frequency shap<strong>in</strong>g elements with<strong>in</strong> a real op amp.<br />

Figure 11–11 shows a typical ga<strong>in</strong> vs. frequency plot for an <strong>in</strong>ternally compensated op<br />

amp as normally presented <strong>in</strong> a Texas Instruments data sheet.<br />

As noted earlier, A VD falls off with frequency. A VD (and thus B 1 or GBW) is a design issue<br />

when precise ga<strong>in</strong> is required of a specific frequency band.<br />

Phase marg<strong>in</strong> (φ m) and ga<strong>in</strong> marg<strong>in</strong> (A m) are different ways of specify<strong>in</strong>g <strong>the</strong> stability of<br />

<strong>the</strong> circuit. S<strong>in</strong>ce rail-to-rail output op amps have higher output impedance, a significant<br />

phase shift is seen when driv<strong>in</strong>g capacitive loads. This extra phase shift erodes <strong>the</strong> phase<br />

marg<strong>in</strong>, and for this reason most CMOS op amps with rail-to-rail outputs have limited ability<br />

to drive capacitive loads.

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