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

Figure 2.4: SFDR definition using <strong>the</strong> output frequency spectrum <strong>of</strong> an ADC.<br />

2.2 Overview <strong>of</strong> ADC linearity limit<strong>at</strong>ions<br />

ADCs used in communic<strong>at</strong>ion applic<strong>at</strong>ions usually need to sample signals <strong>at</strong> high<br />

frequencies. As explained in <strong>the</strong> previous section, it is also very important in <strong>the</strong>se<br />

applic<strong>at</strong>ions to add <strong>the</strong> least amount <strong>of</strong> distortion to <strong>the</strong> received signal during <strong>the</strong><br />

digitiz<strong>at</strong>ion process. Therefore, <strong>the</strong> SFDR <strong>of</strong> <strong>the</strong>se ADCs over <strong>the</strong>ir input bandwidth is<br />

an important factor defining <strong>the</strong> performance <strong>of</strong> <strong>the</strong> system.<br />

The linearity <strong>of</strong> ADCs usually drops significantly with increasing input<br />

frequency. This can be observed as <strong>the</strong> degrad<strong>at</strong>ion in <strong>the</strong>ir SFDR performance over<br />

<strong>the</strong> input frequency bandwidth as shown in Figure 2.5. This figure shows an SFDR<br />

plot <strong>of</strong> a st<strong>at</strong>e-<strong>of</strong>-<strong>the</strong> art 14-bit ADC [11] over its input bandwidth. The drop in<br />

linearity performance is due to <strong>the</strong> frequency dep<strong>end</strong>ent nonlinear <strong>errors</strong> gener<strong>at</strong>ed in<br />

<strong>the</strong> transfer function <strong>of</strong> <strong>the</strong> ADC. Frequency dep<strong>end</strong>ent nonlinearities are caused by<br />

nonlinear functions with memory.

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