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

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DEMODULATION PIXELS IN CMOS/CCD 99<br />

5. Demodulation pixels in CMOS/CCD<br />

In Section 2.1.3 and 2.2 we have explained that we can measure <strong>distance</strong>s by<br />

measuring the phase <strong>of</strong> an RF-modulated optical radiation field. We have<br />

suggested measuring these phases in an array <strong>of</strong> so-called demodulation pixels,<br />

which are additionally capable <strong>of</strong> measuring the modulation signal’s amplitude as<br />

well as the background brightness. Such an array <strong>of</strong> demodulation pixels would<br />

make possible the realization <strong>of</strong> a <strong>3D</strong> range camera <strong>with</strong>out moving parts. This is<br />

because, rather than scanning the laser beam over a scene, the scene can be<br />

illuminated simultaneously <strong>with</strong> a light cone and each pixel in the imager array<br />

individually measures the <strong>distance</strong> <strong>of</strong> the corresponding point in the scene. We also<br />

suggested realizing the demodulation task by temporal sampling <strong>of</strong> the modulated<br />

optical wave.<br />

To realize such a fast sampling demodulation pixel, an efficient electrooptical<br />

shutter mechanism is needed. A quick estimate gives an idea <strong>of</strong> the required speed<br />

performance: Using a sinusoidal wave as modulation function for the TOFapplication<br />

restricts the non-ambiguous <strong>measurement</strong> range to half a modulation<br />

period π, not 2π because the modulated wave has to travel the <strong>distance</strong> from the<br />

<strong>3D</strong> camera to the target twice: forth and back. If we postulate a <strong>distance</strong> resolution<br />

<strong>of</strong> 7.5 cm and expect λ/200 phase resolution <strong>of</strong> the system, a reasonable value<br />

compared to existing systems, we need a 15 m rf-wave. With f=c/λ we obtain the<br />

modulation frequency <strong>of</strong> 20 MHz. For these values we have to take the single<br />

sampling points Ai at a repetition rate <strong>of</strong> 20 MHz, corresponding to an effective<br />

sampling rate <strong>of</strong> 80 MHz for 4 sampling points.<br />

For a better SNR, the pixels should <strong>of</strong>fer the possibility <strong>of</strong> successively adding<br />

short-time integrated sampling points <strong>with</strong>out additional noise. This technique also<br />

makes the system insensitive to frequencies other than the modulation frequency,<br />

and that’s why we also call our pixels lock-in pixels (c.f. Section 2.2 and<br />

Figure 2.10). All sampling points (four, to keep the previous definitions) have to be<br />

stored <strong>with</strong>in the pixel because the complete high-resolution detector array cannot

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