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

OPTICAL TOF RANGE MEASUREMENT 33
Tsamp
Time domain Frequency domain
∆t
⎛
rect ⎜
⎝
∑ ∞ +
1
δ
Tsamp
n=
−∞
input signal
T
T
t ⎞
⎟
∆t ⎠
( )
t
t
t
t − n ⋅ Tsamp
t
− 3
∆t
− 2
∆t
− 1
∆t
0
0
0
0
f =
1
T
input signal
⎛ ∆t
⎞
∆t
⋅ sinc⎜
2πf
⋅ ⎟
⎝ 2 ⎠
f =
1 2 3
∆t ∆t ∆t
1
T
∑ ∞ + ⎛
⎜ k
δ
⎜
f −
k= −∞ ⎝ Tsamp
1
Tsamp
t
1
T
1
f
Tsamp
Figure 2.10 Description of natural sampling in time and frequency domains.
⎞
⎟
⎠
f
f
f
f
(a)
Input signal
(b)
Short time
integration
for sampling
point
generation
(c)
Attenuated
input signal
(d)
Ideal
sampling
(c)
Naturally
sampled
signal
Due to the bandwidth conditions and the pixel architecture (Chapter 5 for more
details) we use overlapping integration periods for the acquisition of the single