3D Time-of-flight distance measurement with custom - Universität ...
3D Time-of-flight distance measurement with custom - Universität ...
3D Time-of-flight distance measurement with custom - Universität ...
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POWER BUDGET AND RESOLUTION LIMITS 87<br />
# electrons<br />
P lens<br />
optical power in<br />
front <strong>of</strong> lens<br />
P object<br />
optical power on object<br />
(Lambert reflector)<br />
2<br />
⎛ 1 ⎞<br />
P'pixel = P'obj<br />
⋅ ⎜ ⎟ ⋅ klens<br />
Equation 4.3<br />
⎝ 2 ⋅ F /# ⎠<br />
quantum<br />
efficiency<br />
losses <strong>of</strong> lens<br />
and filter<br />
<strong>distance</strong> <strong>of</strong> object,<br />
aperture <strong>of</strong> lens<br />
# photons<br />
P image<br />
optical power<br />
on sensor<br />
reflection coefficient<br />
<strong>of</strong> object<br />
energy <strong>of</strong><br />
photon<br />
pixel area,<br />
sensor area<br />
E pixel<br />
energy per pixel<br />
P pixel<br />
optical power<br />
on pixel<br />
integration<br />
time<br />
P light source<br />
required required optical optical power<br />
power <strong>of</strong> light <strong>of</strong> light source source<br />
Figure 4.2 Optical power budget: Strategy to estimate the optical power <strong>of</strong> the<br />
illumination required to generate a given number <strong>of</strong> electrons in a<br />
pixel as a function <strong>of</strong> scene and camera parameters.<br />
Optical energy per pixel Epix:<br />
Epixel = Ppixel<br />
⋅ Tint<br />
Equation 4.4<br />
Number <strong>of</strong> photons Np per pixel:<br />
Epixel<br />
Np = = Ppixel<br />
⋅ Tint<br />
⋅<br />
Ephoton<br />
1<br />
h ⋅ c<br />
λ<br />
Number <strong>of</strong> electrons Ne generated per pixel (see also Figure 4.3):<br />
Ne = Np<br />
⋅ QE(<br />
λ)<br />
= Ppixel<br />
⋅ Tint<br />
⋅<br />
1<br />
h ⋅ c<br />
λ<br />
⋅ QE(<br />
λ)<br />
Equation 4.5<br />
Equation 4.6
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