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3D Time-of-flight distance measurement with custom - Universität ...

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DEMODULATION PIXELS IN CMOS/CCD 121<br />

we describe the <strong>measurement</strong>s that we will perform later and the setup that we use<br />

for these <strong>measurement</strong>s. In addition, we will make predictions about how the pixel<br />

performance will change as a function <strong>of</strong> different parameters.<br />

What is “demodulation contrast”?<br />

We already discussed in Section 4.2 that, for a good phase accuracy, not only the<br />

contrast (or modulation depth) <strong>of</strong> the modulated light source but also the shutter<br />

efficiency is <strong>of</strong> essential importance. Both define the measured contrast, which<br />

directly influences the ranging accuracy (c.f. Equation 4.10). In optics the<br />

modulation is defined as follows:<br />

Imax<br />

− I<br />

modulation =<br />

min<br />

Imax<br />

+ I<br />

Equation 5.1<br />

min<br />

Similarly, we define the demodulation contrast Cdemod as:<br />

measured amplitude<br />

Cde mod =<br />

measured <strong>of</strong>fset<br />

Equation 5.2<br />

There are several parameters attenuating the measured amplitude. In Chapter 2<br />

we mentioned that the integrative acquisition process <strong>of</strong> the sampling points Ai<br />

leads to a decrease in measured amplitude (c.f. Equation 2.18). For the <strong>distance</strong><br />

<strong>measurement</strong>, we operate the lock-in sensor at a modulation frequency <strong>of</strong> 20 MHz<br />

<strong>with</strong> a sampling interval <strong>of</strong> 25 ns. Thus, the integration time for the sampling point<br />

acquisition is half the modulation period. Therefore, according to Figure 2.7, the<br />

measured amplitude is only 64% <strong>of</strong> the real amplitude. In addition to this more<br />

system theoretical amplitude attenuation, there are also physical effects (shutter<br />

inefficiency) that lower the measured amplitude and increase the measured <strong>of</strong>fset.<br />

The demodulation contrast quantifies the CCD’s (im)perfection <strong>of</strong> charge<br />

separation. It should be as high as possible in order to achieve large signal<br />

amplitude and hence a good signal-to-noise ratio for the phase detection. The<br />

shutter efficiency depends on the following parameters:<br />

• Demodulation frequency: The higher the demodulation frequency (or sampling<br />

frequency) the shorter is the time available for the single charge carriers to travel

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