Electromagnetic compatibility and Radio spectrum Matters (erm); Technical characteristics of Radio equipment to be used in the 76 ghz to 77 ghz band; System Reference Document for Short-Range Radar to be fitted on road infrastructure


D.1 Radar Antenna Specs Antenna Gain



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D.1 Radar Antenna Specs

Antenna Gain


The antenna gain of an aperture antenna is given by the standard equations

G=10log [η4πA/λ2]


Where:

  • η is the antenna efficiency, typically 0.5 for millimetric frequencies (Papageorgiou, 2012)

  • λ is the wavelength in air, 3.9 mm at 76.5 GHz

  • A is the aperture area

The antenna diameter of a TS350-X is 150 mm, thus the maximum theoretical gain achievable is ~ 38.5 dBi. However, the beam is spread in the vertical dimension with a secondary antenna, thereby reducing the gain. To analyse the actual antenna peak gain an empirical measurement is required.


The EIRP of a Navtech TS350-X has been measured to be, in the worst case, 37.5 dBm at a particular instance, or 14.9 dBm EIRP if account is made for the fact that the antenna is rotating1. The EIRP is linked with the antenna gain G and the transmitted power Pt with the well-known relation
EIRP = Pt + G – L
Where L are the sensor losses, which can be neglected or of the order of few dB. Knowing the transmitted power of 10 mW (10 dBm) it is possible to derive the overall gain of 27.5 dBi at the radar boresight.
The antenna gain off the boresight is then reduced according to the beam profile in horizontal and vertical dimension.

Beam profile


The Navtech TS350-X has a spread vertical beam and a horizontal 2 degrees beamwidth. The beam profile is shown in Figure 26.

Figure 26 TS350X combined antenna beam. Note that the antenna is mechanically scanned through 360 degrees





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