A10.6 UNIFORM POLAR DISTANCE DISTRIBUTION

Uniform polar distance is a distribution function designed to define a random positioning of transmitter along the radius of coverage cell R (i.e. all the points are distributed over a circular area defined by max distance with the same probability), to achieve a random uniform distribution of transmitters within a circular area centred around a given zero-point.

This function has one parameter - max distance - and probability of distribution along that distance is defined as:

                  (Eq. 143)

The uniform polar distance distribution is typically used for deriving distance factor used in calculation of the relative locations of transceivers within a link and between victim and interfering links. The result of the trial on such a distribution, the distance factor, is then multiplied by a coverage radius or simulation radius. Hence the default maximum value of R is set to 1, meaning that after multiplication of this random factor with the radius value, the resulting distance will be distributed uniformly along the entire coverage/simulation radius.

Note that this is equivalent to defining a uniform density of transmitters on a circular area together with uniform polar angle (with 360 deg) or uniform distribution in the angle domain (0,360 deg).

Figure 406: Uniform polar distance distribution: parameters (left) PDF (right)