A generalized algorithm for the generation of arbitrary correlated Nakagami fading channels

In the last decade, Nakagami fading shows good performance in matching measurement data under many scenarios, i.e., vehicle-to-vehicle (V2V), mobile-to-mobile (M2M) and indoor. However, little research has been done for generating of spatial-temporal correlated MIMO Nakagami fading. In this paper, we propose a generalized and accurate algorithm to generate Nakagami-m envelope channels with arbitrary temporal autocorrelation and spatial cross-correlation. Specifically the temporal autocorrelation of Nakagami channels is derived using rank matching technology, then spatial cross-correlation is introduced by Sim's algorithm. Finally, the proposed algorithm is validated with theoretical data. This algorithm is valuable for communication system simulation and emulation.