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User Manual LR-16F
OMEN-16F-202012
13
8.
Numerical calculation
8.1.
Coordinate conversion
The information in the LR-16F data package is the azimuth value and distance value
established in the polar coordinate system. It’s more convenient to construct three-
dimensional scene through the point cloud data by converting polar coordinate value to
Cartesian coordinate system.
The above values corresponding to each channel is shown in the following table:
Channel
number
Vertical
angle ω
Horizontal angle α
Horizontal
offset A
Vertical offset
B
CH0
-15°
α
21mm
5.06mm
CH1
1°
α+1*0.00108*H
21mm
-9.15mm
CH2
-13°
α+2*0.00108*H
21mm
5.06mm
CH3
3°
α+3*0.00108*H
21mm
-9.15mm
CH4
-11°
α+4*0.00108*H
21mm
5.06mm
CH5
5°
α+5*0.00108*H
21mm
-9.15mm
CH6
-9°
α+6*0.00108*H
21mm
5.06mm
CH7
7°
α+7*0.00108*H
21mm
-9.15mm
CH8
-7°
α+8*0.00108*H
-21mm
9.15mm
CH9
9°
α+9*0.00108*H
-21mm
-5.06mm
CH10
-5°
α+10*0.00108*H
-21mm
9.15mm
CH11
11°
α+11*0.00108*H
-21mm
-5.06mm
CH12
-3°
α+12*0.00108*H
-21mm
9.15mm
CH13
13°
α+13*0.00108*H
-21mm
-5.06mm
CH14
-1°
α+14*0.00108*H
-21mm
9.15mm
CH15
15°
α+15*0.00108*H
-21mm
-5.06mm
Table 8 Coordinate conversion
Note: Under normal accuracy, the horizontal angle α only needs to increase the parameters in
the table above.
The calculation formula for space coordinates is
B
R
Z
A
R
Y
A
R
X
)
sin(
*
)
(
sin
*
)
cos(
*
)
cos(
*
)
cos(
*
)
sin(
*
)
(
cos
*
Definitions
The measured distance output by each channel of the radar is set as R. Note that the unit
of the radar input is 2mm, please convert to 1mm first
Rotating speed of radar is set as H (usually 10Hz)
The vertical angle of each channel of the radar is set as ω
The horizontal angle output by the radar is set as α