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DIGITAL-TO-ANALOG AND ANALOG-TO-DIGITAL CONVERSION 413<br />

j HOLD STEP ~<br />

",- j ( ~~<br />

/' :-r-----'=.J<br />

TRACK ING //1 : I<br />

ERROR '/ I I HOLD DROOP<br />

""'9' I I<br />

9''': :<br />

9' I I<br />

: I<br />

_I ,_ APERTURE<br />

I I 1 DELAY<br />

I r I<br />

1 I<br />

I<br />

I<br />

I<br />

I<br />

I<br />

I 1<br />

1 I<br />

I<br />

I<br />

I<br />

I<br />

I<br />

1 I<br />

I<br />

I<br />

I 1<br />

1 I<br />

I I I<br />

: ACQUISTlON: :<br />

!- TIME -J \<br />

Iii!<br />

I~HOLD----I-SAMPLE -i~HOLD ---I-SAMPLE-~<br />

TIME<br />

Fig. 12-31. SAH errors<br />

ter. It is critical because the partially <strong>of</strong>f switch is highly nonlinear and<br />

contributes to distortion. Aperture uncertainty is a variation in aperture delay<br />

usually caused by variations in signal amplitude. It has the same distortioncausing<br />

effect as variation in the sample rate. Both <strong>of</strong> these aperture errors<br />

create distortion proportional to frequency and amplitude. Essentially, then,<br />

the aperture is the effective time width over which the signal voltage is<br />

measured and, much like a camera lens, a small aperture gives sharper focus<br />

over a wider range <strong>of</strong> conditions.<br />

Hold step usually is not important unless it varies with signal level.<br />

One must wait until the turn-<strong>of</strong>f transient decays before starting the conversion<br />

cycle, however. Hold droop is almost never a problem, since the hold<br />

time is a few dozen microseconds at most.<br />

Often, it is helpful to have an automatic gain-control (AGC) circuit in<br />

the signal path before the SAH and ADC to keep signal levels consistently<br />

high. In order to retain information about the dynamics <strong>of</strong> the input, it<br />

would be a simple matter to digitize the gain-control voltage in the AGC<br />

circuit with an inexpensive 8-bit ADC module. Since this voltage changes<br />

slowly, its sample rate could be as low as tens <strong>of</strong> hertz. Internally, the AGC<br />

information could multiply the samples from, say, a l2-bit ADC into full<br />

l6-bit samples and restore the dynamic range. Note that the response speed<br />

<strong>of</strong> the AGC circuit has no bearing on the accuracy <strong>of</strong> reconstruction provided<br />

it is fast enough to suppress sudden, high-amplitude transients below the<br />

ADC clipping point.

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