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Assuming that the received power is equal to the sensitivity of the victim link receiver, then the radius Rmax can be determined for the wanted radio path by the following equation.

 

Image Added                         (Eq. 163)

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                                                                             Image Added            (Eq. 164)

where:

 

  • Fmedian: propagation loss not including slow fading, i.e. path loss without variations option;
  • Fslowfading(X%): slow fading margin for X% coverage loss;

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The distribution of  the path loss  can be expressed in a general way by the following equation: Image Added

                                                                                        

 

where Q  is the cumulative distribution for Rmax and the resulting mean path loss  and an additional path loss  due to availability or coverage  . The availability y of the system is linked to the coverage loss through the simple relation y = 1 – x. Assuming that slow fading can be approximated by log-normal distribution, i.e. median  mean, the relation Image Added can be introduced where  stands  b stands for a multiple of the well known standard deviation (sigma). A few examples for illustration: At a 95 % coverage,  results b results in 1.96, for 99 % in 2.58, for 99.9 % in 3.29, or b=1  68 % coverage, for  for b=2 for 95.5 %. The exact values can be easily determined by using the inverse Gaussian function.

 

Then the equation:

Image Added                (Eq. 165)

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The determination of the zero of function v, is made through a recursive method such as regula-falsi used in logarithmic scale which should yield a better precision. The solution of such a method provides:

                           Image Added                                 (Eq. 166)

 

In this case, formulas given for  have to be inverted.

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