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

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88 CHAPTER 4<br />

Required optical power <strong>of</strong> emitter Plight source:<br />

Aimage<br />

Ne<br />

⋅ ⋅ h ⋅ c<br />

Apix<br />

P light source =<br />

2<br />

Equation 4.7<br />

⎛ D ⎞<br />

ρ ⋅ ⎜ ⎟ ⋅ klens<br />

⋅ QE(<br />

λ)<br />

⋅ λ ⋅ Tint<br />

⎝ 2 ⋅ R ⎠<br />

Ne number <strong>of</strong> electrons per pixel<br />

Aimage image size in sensor plane<br />

Apix light sensitive area <strong>of</strong> pixel<br />

h Planck’s constant<br />

c speed <strong>of</strong> light<br />

ρ reflectivity <strong>of</strong> object<br />

D aperture <strong>of</strong> lens<br />

R <strong>distance</strong> <strong>of</strong> object<br />

klens losses <strong>of</strong> objective and filters<br />

QE(λ) quantum efficiency<br />

λ wavelength <strong>of</strong> light<br />

Tint integration time<br />

Figure 4.3 Reflectivity <strong>of</strong> concrete, blue cloth and vegetation and response <strong>of</strong><br />

human eye [HAM].<br />

This estimation assumes that the target is a Lambert reflector, i.e. the intensity<br />

distribution <strong>of</strong> back-scattered light does not depend on the illumination angle. The<br />

reflected intensity decreases <strong>with</strong> the cosine <strong>of</strong> the observation angle <strong>with</strong> respect

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