© RFbeam Microwave GmbH | Schuppisstrasse 7 | CH-9016 St. Gallen | www.rfbeam.ch | K-LC7 | data sheet

12/2018 - Revision C | Page 5/7

Angle measurement

The angle of arrival θ of an object in front of the sen-

sor can be determined by the phase difference ∆Φ of

the output signals I1_Out/I2_Out or Q1_Out/Q2_Out.

Use the following equation for calculation:

APPLICATION INFORMATION

Wavelength:

l =

=

= 12.43 mm

ƒ

c

24.125 GHz

300 10 m/s

l = 345 mil = 8.763 mm

Antenna Spacing:

v = arcsin

$

%

Angle of Arrival in radian:

2πl

l ∆f

= arcsin

$

%

2π 8.763 mm

12.43 mm ∆f

= arcsin( 0.2257 ∆f )

Object

Radar

v

Figure 4: Angle of arrival

Figure 5: Phase difference vs. object angle

-90

-80

-70

-60

-50

-40

-30

-20

-10

0102030405060708090

Object angle in [°]

-270

-240

-210

-180

-150

-120

-90

-60

-30

0

30

60

90

120

150

180

210

240

270

Antenna Rx1 / Rx2 output phase difference