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Calculation of antenna azimuths and elevations within a link

Deriving both dRSS and iRSS signals (as well as internal calculation of signal strength between It-Wr for the purpose of power control operation) require calculation of relative antenna azimuths and elevations between transceivers of the same link. Note that for all angle calculations :

• azimuth reference is the transmitter - receiver path;
• elevation reference is the horizontal plane.

Calculations of azimuth and elevation of the receiver antenna in the direction of the peer-transmitter within a given link is performed as follows:

• Trial of the receiver antenna (de-pointing) azimuth according to the relative distribution set in the scenario;
• Trial of the receiver antenna tilt according to the relative distribution set in the scenario;
• Calculation of receiver antenna elevation derived from both tilt and the azimuth angles as follows:

Where:

is the angle of the receiver antenna as seen from the transmitter antenna and is defined as:

The corrected tilt function α is defined as the tilt of the receiver antenna as seen from the transmitter antenna. This angle is derived from the tilt of the receiver antenna as follows:

which can be approximated to:

Transmitter antenna azimuth and elevation in the direction of the peer-receiver are calculated using the same above-described algorithm, by swapping tx and rx variables.