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

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DEMODULATION PIXELS IN CMOS/CCD 111<br />

sampling point, so that 50% <strong>of</strong> the received modulated light is evaluated and only<br />

50% is lost. This is an acceptable compromise when compared <strong>with</strong> the enormous<br />

improvement in fill factor (20% rather than 5%). This integration time <strong>of</strong> half the<br />

modulation period has no influence on the measured phase; it only attenuates the<br />

measured amplitude to 64% <strong>of</strong> the real amplitude, which is a consistent and<br />

predictable error (c.f. Section 2.2).<br />

opaque layer<br />

CCD gates<br />

oxide<br />

substrate<br />

potential<br />

intensity <strong>of</strong> incoming light<br />

sampling interval<br />

sampling interval<br />

sampling interval<br />

0V 10V 8V 0V 3.5V 0V 8V 10V<br />

integration<br />

direction<br />

(a)<br />

t<br />

dump<br />

direction<br />

dump<br />

diffusion<br />

potential<br />

i =<br />

s(<br />

t)<br />

⋅<br />

f(<br />

t<br />

+ τ)<br />

f(<br />

t<br />

+ τ)<br />

∫i = s(<br />

t)<br />

⋅ f(<br />

t + τ)<br />

= s(<br />

t)<br />

⊗ f(<br />

t)<br />

t=<br />

τ<br />

Q = ∫<br />

Figure 5.7 One-tap lock-in pixel: illustration <strong>of</strong> (a) sampling and (b) correlation<br />

process.<br />

The more serious drawback is the fact that the sampling points have to be acquired<br />

serially. This “serial tap-integration” reduces the application area <strong>of</strong> the pixel in <strong>3D</strong><strong>measurement</strong><br />

to scenes <strong>with</strong> relatively slow movements. The integrated sampling<br />

points Ai in Equation 2.17 contain both a fraction <strong>of</strong> integrated modulated light and<br />

a fraction <strong>of</strong> background light. If the sampling points are all taken at the same time<br />

(in parallel) they carry the same <strong>of</strong>fset, even if the scene changes (moves) during<br />

integration. With the subtraction <strong>of</strong> two sampling points the <strong>of</strong>fset disappears. The<br />

same is the case if the reflectance <strong>of</strong> an observed point changes during integration.<br />

However, if we acquire the sampling points serially and the reflectance or<br />

background intensity (<strong>of</strong>fset) changes from one sampling point to the other, the<br />

algorithm is no longer able to eliminate <strong>of</strong>fset and reflectance. Therefore, the 1-tap<br />

s(<br />

t)<br />

(b)<br />

s(<br />

t)

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