A13.2.2 Uniform density mode

In the mode uniform density, R_simu defines the circular area where the ILTs are spread. The R_simu in the ILT-VLR path  is calculated at the very beginning of a simulation and applied in all events. It is defined as: 

                               (Eq. 178)

dens_it^active  is the density of active transmitters and is defined as follows:

                          (Eq. 179)

where:

• • n^active - number of active transmitters set in the scenario for IT-VR path (note that n^active should be sufficiently large so that the (n+1)^th interferer would contribute with a negligible additional interfering power); 
  • dens_it - density of transmitters, 1/km2, user-defined parameter in the table Interferers density of ILT-VLR path;
  • P_it - probability of transmission, user-defined parameter;
  • activity_it(time) - user-defined temporal activity function (i.e. look-up table). The time value used for calculation is specified in the parameter time (see below). 
  • time - parameter defining which of the values in the above activity function should be used in calculations (e.g. if the activity(time) function contains three pairs: (1;0.5), (2;0.7), (3; 0.9) and the time parameter is set to 2, then the activity(time) function will return a value 0.7). 

In case a fixed simulation radius with a defined density of active users is provided, the number the n_active  users can be evaluated by using the following equation, which is derived from the above equation.

  (Eq. 180)

When setting up your simulation, if the relevant input parameter is the simulation radius, it is recommended to use the mode “None” instead of the “Uniform density” mode. In that case, the activity of the transmitter may be simulated using  e.g. the parameter duty cycle, which defines a distribution of the transmit power.

If the relevant input parameter is the user density (i.e. without setting the simulation radius as input), it is recommended to use the “Uniform density” mode.

For this mode, the path distance factor is fixed to a uniform polar distance distribution with a maximum distance of 1 and is not editable.