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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  can be introduced where  b stands for a multiple of the well known standard deviation (sigma). A few examples for illustration: At a 95 % coverage, b results in 1.96, for 99 % in 2.58, for 99.9 % in 3.29, or b=1  68 % coverage, for b=2 for 95.5 %. The exact values can be easily determined by using the inverse Gaussian function.

 

Here are some examples for illustration:

 

  • for 68 % coverage, b = 1;
  • for 95 % coverage,  = 1.96;
  • for 95.5 % coverage,  = 2;
  • for 99 % coverage,  = 2.58;
  • for 99.9 % coverage,  =3.29.

  • The exact values can be easily determined by using the inverse Gaussian function.

 

                        (Eq. 174)

 

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 the following equation:

                                    (Eq. 175)

 

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

Then the equation:

                (Eq. 165)

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