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14 Chapter 2: Nonlinearity <strong>at</strong> <strong>the</strong> ADC’s Front-End<br />

2.3 Nonlinearity <strong>at</strong> <strong>the</strong> <strong>acquisition</strong> stage<br />

The track-and-hold stage used for sampling <strong>at</strong> <strong>the</strong> <strong>front</strong>-<strong>end</strong> is a significant source<br />

<strong>of</strong> nonlinearity in <strong>the</strong> ADC’s transfer function. The two main sources <strong>of</strong> <strong>errors</strong> <strong>at</strong> this<br />

stage are input-dep<strong>end</strong>ent charge injection and tracking nonlinearity due to <strong>the</strong><br />

impedance modul<strong>at</strong>ion <strong>of</strong> <strong>the</strong> sampling switches. These two sources <strong>of</strong> nonlinearity<br />

cause <strong>the</strong> real output voltage to differ from <strong>the</strong> ideal V out with some error during both<br />

tracking and <strong>the</strong> hold mode, as shown in Figure 2.9 [22]. These effects will be fur<strong>the</strong>r<br />

explained in <strong>the</strong> following sections.<br />

Clk<br />

V out<br />

Ideal V out<br />

V in<br />

V in<br />

+<br />

-<br />

Real V out<br />

Figure 2.9: Ideal and real output <strong>of</strong> a track-and-hold stage during tracking and hold<br />

phases.<br />

2.3.1 Input dep<strong>end</strong>ent charge injection<br />

In <strong>the</strong> simple track-and-hold circuit shown in Figure 2.10, <strong>the</strong> sampling switch is<br />

on during tracking mode and V out is tracking <strong>the</strong> input voltage. When <strong>the</strong> switch turns<br />

<strong>of</strong>f to transition to <strong>the</strong> hold mode, <strong>the</strong> output voltage should ideally sample <strong>the</strong> final

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