digital compensation of dynamic acquisition errors at the front-end of ...
digital compensation of dynamic acquisition errors at the front-end of ...
digital compensation of dynamic acquisition errors at the front-end of ...
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4 Chapter 1: Introduction<br />
linearity performance (SFDR>83 dB) in <strong>the</strong> ADC <strong>at</strong> high input frequencies (f in =470<br />
MHz).<br />
V<br />
out<br />
( k) = f [ V ( k) , V ( k −1 ),...]<br />
nonlin<br />
in<br />
in<br />
D<br />
out<br />
, corrected<br />
= gnonlin[<br />
Dout<br />
( k),<br />
Dout<br />
( k −1),...]<br />
Figure 1.2: Applying <strong>the</strong> inverse nonlinear function to <strong>the</strong> ADC output for<br />
<strong>compens<strong>at</strong>ion</strong> <strong>of</strong> <strong>dynamic</strong> nonlinearities <strong>at</strong> its <strong>front</strong>-<strong>end</strong>.<br />
1.2 Organiz<strong>at</strong>ion<br />
This <strong>the</strong>sis is organized into six chapters <strong>of</strong> which this is <strong>the</strong> first. Chapter 2<br />
introduces <strong>the</strong> sources <strong>of</strong> nonlinearity <strong>at</strong> <strong>the</strong> <strong>front</strong>-<strong>end</strong> <strong>of</strong> ADCs and shows how<br />
judicious modeling <strong>of</strong> <strong>the</strong>se imperfections helps us simplify <strong>the</strong> correction process.<br />
The analysis in this chapter shows where <strong>the</strong> memory and nonlinearities <strong>at</strong> <strong>the</strong><br />
<strong>acquisition</strong> stage <strong>of</strong> <strong>the</strong> ADC are coming from and how <strong>the</strong>y affect <strong>the</strong> linearity<br />
performance <strong>of</strong> <strong>the</strong> system. A compact nonlinear model is developed and it is<br />
expanded to take nonidealities <strong>of</strong> <strong>the</strong> ADC’s input driving circuit into account.<br />
Our proposed <strong>digital</strong> correction algorithm is presented in Chapter 3. Several<br />
approaches for calibr<strong>at</strong>ing <strong>the</strong> filter coefficients and also simplifying <strong>the</strong> correction<br />
process are discussed and results <strong>of</strong> applying <strong>the</strong>m to <strong>the</strong> nonlinear model <strong>of</strong> a trackand-hold<br />
circuit are presented. The simul<strong>at</strong>ion results show th<strong>at</strong> <strong>the</strong> algorithm is<br />
capable <strong>of</strong> significantly increasing <strong>the</strong> linearity <strong>of</strong> <strong>the</strong> ADC’s <strong>front</strong>-<strong>end</strong>. It can be used