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"Chapter 1 - The Op Amp's Place in the World" - HTL Wien 10

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VREF<br />

2R<br />

B3 B2 B1<br />

1 0 1 0 1 0 1 0<br />

I3 I2 I1<br />

Figure 14–4. R/2R D/A Converter<br />

R<br />

R<br />

2R 2R 2R<br />

Understand<strong>in</strong>g <strong>the</strong> D/A Converter and its Specifications<br />

R<br />

I0<br />

B0<br />

IIN<br />

2R<br />

Interfac<strong>in</strong>g D/A Converters to Loads<br />

_<br />

+<br />

R<br />

VOUT<br />

This converter architecture has advantages over <strong>the</strong> types previously mentioned. <strong>The</strong><br />

number of resistors has doubled from <strong>the</strong> number required for <strong>the</strong> current-summ<strong>in</strong>g type,<br />

but <strong>the</strong>re are only two values. Usually, <strong>the</strong> 2R resistors are composed of two resistors <strong>in</strong><br />

series, each with a value of R. <strong>The</strong> feedback resistor for <strong>the</strong> buffer amplifier is aga<strong>in</strong> fabricated<br />

on <strong>the</strong> converter itself for maximum accuracy. Although <strong>the</strong> op amp is still not operated<br />

<strong>in</strong> unity ga<strong>in</strong> mode for all comb<strong>in</strong>ations of bits, it is much closer to unity ga<strong>in</strong> with this<br />

architecture.<br />

<strong>The</strong> important op amp parameters for all resistor ladder D/As are:<br />

Input offset voltage — <strong>the</strong> lower <strong>the</strong> better. It adds to <strong>the</strong> converter offset error.<br />

Input bias current — <strong>the</strong> lower <strong>the</strong> better. <strong>The</strong> product of <strong>the</strong> bias current and <strong>the</strong><br />

feedback resistance creates an output offset error.<br />

Output voltage sw<strong>in</strong>g — it must meet or preferably exceed <strong>the</strong> zero to full-scale<br />

sw<strong>in</strong>g from <strong>the</strong> D/A.<br />

Settl<strong>in</strong>g time and slew rate — must be fast enough to allow <strong>the</strong> op amp to settle<br />

before <strong>the</strong> next digital bit comb<strong>in</strong>ation is presented to <strong>the</strong> D/A <strong>in</strong>put register.<br />

14.3.5 <strong>The</strong> Sigma Delta D/A Converter<br />

<strong>The</strong> sigma delta D/A converter takes advantage of <strong>the</strong> speed of advanced IC processes<br />

to do a conversion as a series of approximations summed toge<strong>the</strong>r. A phase-locked loopderived<br />

(PLL) sample clock operates at many times <strong>the</strong> overall conversion frequency —<br />

<strong>in</strong> <strong>the</strong> case shown <strong>in</strong> Figure 14–5, it is 128×. <strong>The</strong> PLL is used to drive an <strong>in</strong>terpolation filter,<br />

a digital modulator, and a 1-bit D/A converter. <strong>The</strong> conversion is done by us<strong>in</strong>g <strong>the</strong> density<br />

14-5

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