D1 statistical model of tropospheric multipath propagation
Abstract
The distribution of levels received on a visibility link which does not involve stable reflections on the ground can, in general, be represented by the RiceNakagami law because this law gives the statistical distribution of the sum of a deterministic vector and of an uncertain vector. When the deterministic vector has a null or negligible amplitude, a Rayleigh law is obtained. The essential problem is to find the relations between the parameters of the distribution and those of the link (distance, frequency, climate, etc.). Current models of these relations flow from two propositions. The sum of the power transported by the deterministic vector and of that transported by the uncertain vector is an uncertain variable whose average is equal to the power received in free space and the variation type is proportional to the distance. For inferior distances around 50 km, the variation type can be considered as null (the sum of the powers is a certain quantity). The power transported by the deterministic vector decreases exponentially.
 Publication:

In AGARD Characteristics of the Lower Atmosphere Influencing Radio Wave Propagation 2 p (SEE N8424943 1532
 Pub Date:
 February 1984
 Bibcode:
 1984clai.agarQ....B
 Keywords:

 Mathematical Models;
 Multipath Transmission;
 Statistical Distributions;
 Troposphere;
 Wave Propagation;
 Atmospheric Attenuation;
 Climate;
 Distance;
 Rayleigh Distribution;
 Scintillation;
 Communications and Radar