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A12.1 A12.1

The relative position between a transmitter and a receiver two points (ILT/ILR/VLT/VLR) is described by its Distance, Azimuth and Delta X,Y when you have selected a decorrelated mode, or an uncorrelated mode is selected or only by Delta X, Y only when you have selected a the correlated mode is selected. The selection of this mode and input parameters are described in Section ‎55.4.1 (VLT-VLR or ILT-ILR) and Section ‎1010.3.1 (ILT-VLR)

Distance: The distance between the Rx and the Tx (d_{Tx to Rx} ) is calculated through multiplying a trialled path distance factor Image Removed by the coverage radius R_max such as Image Removed

Azimuth: The azimuth a_{Rx to Tx} of the Tx-Rx path is calculated trough a trial of path azimuth according to the defined distribution:

a_{Rx to Tx} = T(A_{Rx to Tx})                                                                                (Eq. 160)

 

The relative positioning of the pair of Tx and Rx is calculated in Cartesian coordinates. The relative positioning is always expressed relatively to the transmitter and is defined as:

∆X _Tx/Rx = ∆X + d_{Rx to Tx} cos(a_{Rx to Tx})                                                       (Eq. 161)

∆Y _Tx/Rx = ∆Y + d_{Rx to Tx} sin(a_{Rx to Tx})                                                        (Eq. 162)

 

Consequently, assuming that one of the two pair of transmitter and receiver is fixed, it is then possible to use the relative positioning to determine the absolute location of the second pair of transmitter and receiverInterfering link to victim link path).

Within a generic system, the position of the receiver is always specified relative to the transmitter. For the relation between the interfering link and victim link, in a generic system the user may select the reference component as either the ILT or ILR, relative to either the VLT or VLR. This is illustrated below:

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Figure 424: Relative positioning combinations between 2 generic systems

For a cellular system as victim or interferer the base station of the reference cell is always used to specify the relative positioning, as illustrated below:

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Figure 425: Relative positioning combinations between a cellular interferer and a generic victim

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Figure 426: Relative positioning combinations between a generic interferer and a cellular victim

The notation in this annex refers to positioning between a transmitter and receiver (Tx and Rx), but the same equations apply for any of the other positioning combinations outlined above.