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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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D/A Converter Errors and Parameters<br />

14-14<br />

Both <strong>the</strong> INL and DNL errors affect ac applications as distortion and spectral harmonics<br />

(spurs). In dc applications, <strong>the</strong>y will result <strong>in</strong> an error <strong>in</strong> <strong>the</strong> dc output voltage. <strong>The</strong> mechanical<br />

steps of a position<strong>in</strong>g table, for <strong>in</strong>stance, may not be exact <strong>in</strong>crements.<br />

14.5.1.5 Power Supply Rejection Ratio<br />

<strong>The</strong> power supply rejection ratio is sometimes called <strong>the</strong> power supply sensitivity. It is <strong>the</strong><br />

ability of <strong>the</strong> converter to reject ripple and noise on its power <strong>in</strong>puts. DC applications may<br />

not be adversely affected. Poor power supply rejection can cause spurs and harmonic<br />

distortion <strong>in</strong> ac applications, as external frequency components leak <strong>in</strong>to <strong>the</strong> output and<br />

modulate with it. <strong>The</strong> designer must decouple <strong>the</strong> D/A and buffer op amp carefully to combat<br />

<strong>the</strong>se problems.<br />

14.5.2 AC Application Errors and Parameters<br />

14.5.2.1 THD+N<br />

14.5.2.2 SINAD<br />

14.5.2.3 ENOB<br />

<strong>The</strong> follow<strong>in</strong>g paragraphs describe D/A ac errors and parameters.<br />

<strong>The</strong>re will always be some noise that is generated <strong>in</strong>ternally <strong>in</strong> <strong>the</strong> converter and buffer<br />

amp. A useful specification for audio and communication system designers is <strong>the</strong> THD+N<br />

(total harmonic distortion plus noise). <strong>The</strong> distortion plus noise (THD+N) is <strong>the</strong> ratio of <strong>the</strong><br />

sum of <strong>the</strong> harmonic distortion and noise to <strong>the</strong> rms power of <strong>the</strong> <strong>in</strong>put signal. As was <strong>the</strong><br />

case with op amp parameters (<strong>Chapter</strong> 11), <strong>the</strong> noise sources add accord<strong>in</strong>g to <strong>the</strong> rootmean-square<br />

law. <strong>The</strong> distortion and noise are measured separately and <strong>the</strong>n added toge<strong>the</strong>r<br />

to form <strong>the</strong> ratio. <strong>The</strong> noise voltage relates to <strong>the</strong> measured bandwidth.<br />

<strong>The</strong> signal-to-noise and distortion (SINAD) is <strong>the</strong> ratio of <strong>the</strong> <strong>in</strong>put signal to <strong>the</strong> sum of <strong>the</strong><br />

harmonic distortion and noise. <strong>The</strong> distortion and noise are measured separately and<br />

than added toge<strong>the</strong>r to form <strong>the</strong> ratio. <strong>The</strong> SINAD is <strong>the</strong> reciprocal to <strong>the</strong> THD+N. <strong>The</strong> SI-<br />

NAD and THD+N are a good <strong>in</strong>dication of <strong>the</strong> overall dynamic performance of <strong>the</strong> ADC,<br />

because all components of noise and distortion are <strong>in</strong>cluded.<br />

<strong>The</strong> SINAD is used to determ<strong>in</strong>e <strong>the</strong> effective number of bits (ENOB) of accuracy <strong>the</strong> converter<br />

displays at that frequency. For example, a nom<strong>in</strong>al 8-bit resolution D/A may be specified<br />

as hav<strong>in</strong>g 45-dB SNR at a particular <strong>in</strong>put frequency. <strong>The</strong> number of effective bits<br />

is def<strong>in</strong>ed as<br />

ENOB SNRREAL 1.76<br />

7.2 bits<br />

6.02<br />

(14–4)<br />

<strong>The</strong> actual performance of <strong>the</strong> device is <strong>the</strong>refore less than its nom<strong>in</strong>al resolution at this<br />

frequency.

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