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Coverage radius of a transmitter

Coverage radius of a transmitter may be calculated in three different ways:

• it may be a user-defined constant,
• or it may be calculated by the EGE at the start of snapshots generation, assuming:
  • Noise-limited network operation, or
  • Traffic-limited network operation.

Noise-limited network case

In this case it is considered that the coverage of the transmitter is limited only by propagation losses and other elements of link budget, with received signal operating at the very sensitivity limit. In this case the maximum coverage radius may be obtained by reverting the following equation:

Where:

• - propagation loss not including slow fading, i.e. path loss without variations option;
• - slow fading margin for X% coverage loss;

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 a log-normal distribution, the solution would be equivalent to finding zero points of the following function:

Q(x) being the inverse complementary cumulative normal distribution function.

Finding the zero of function g is achieved through the regula-falsi method used in logarithmic scale which should yield a better precision. The solution of such a method is described by:

Traffic-limited network case

In this case the coverage radius is derived from the traffic parameters of the transmitter, defined in the scenario, using following formula: