A geometric theory of Nakagami fading multipath mobile radio channel with physical interpretations

The focus in this paper is on physical interpretation of the Nakagami fading phenomenon in multipath mobile radio propagation through its parameters m and Ω. In the case of narrowband multipath propagation, it is shown that the m parameter is interpreted in a similar fashion as the K parameter of the Rice distribution. We also formulate a geometric theory of Nakagami multipath fading and relate the m parameter with the number of resolvable multipaths in a wideband multipath propagation scenario. We provide a physical interpretation of this geometric theory which can also be shown to be supported by channel measurements reported in literature. Finally the two interpretations are used together to quantify the multipath diversity of a given channel