wiki:Manual/Algorithms/Basics/AzimuthsAndElevationBetweenLinks

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Calculation of antenna azimuths and elevations (ILT - VLR path)

As far as the Interfering Transmitter (ILT) - Victim Receiver (VLR) path is concerned, mutual angles and subsequent antenna discrimination angles/azimuths in horizontal plane are pre-determined by calculations already performed in the relative azimuths / elevation on the victim (VLT-VLR) and interferer (ILT-ILR) paths and with the setting of the relative positioning of the VLR with ILT.

At the same time, the vertical angles (tilt) of the antennas in the vertical / elevation plane are similarly assumed to be pre-determined during the antenna gain calculations for VLT-VLR and ILT-ILR paths.

For all angle calculations:

  • The azimuth reference is the ILT-VLR path
  • The elevation reference is the horizontal plane

The antenna azimuth (bearing, or discrimination angle) in the horizontal plane from the VLR in the direction of the ILT is derived from:

  • - direction of the victim link (i.e. the relative angle between VLR and VLT),
  • - direction of the VLR-ILT path. This direction may also be defined by Xvlr, Yvlr, Xilt, Yilt, absolute coordinates of the VLR and ILT, and
  • - azimuth of the VLR antenna in the direction of the VLT,

through the following relationship:

Similarly, the azimuth (in the horizontal plane) from the ILT in the direction of the VLR is derived from:

  • - direction of the interfering link (i.e. the relative angle between ILT and ILR),
  • - direction of the VLR-ILT path. This direction may also be defined by Xvlr, Yvlr, Xilt, Yilt, absolute coordinates of the VLR and ILT,
  • - azimuth of the ILT antenna in the direction of the ILR,

through the following relationship:

The elevation of the VLR antenna in the direction of the ILT antenna is then derived from both the tilt and the azimuth angles as follows:

where:

  • φ is the angle of the VLR antenna as seen from the ILT antenna:

  • The corrected tilt function α is defined as the tilt of the VLR antenna as seen from the ILT antenna:

The elevation angle of the ILT antenna in the direction of the VLR antenna is then derived from both the tilt and azimuth angles as follows:

where:

  • φ is the angle of the ILR antenna as seen from the ILT antenna:

  • The corrected tilt function α is defined as the tilt of the VLR antenna as seen from the ILT antenna:

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