Application of signal space diversity over multiplicative fading channels

This paper generalizes the application of signal space diversity (SSD) over multiplicative fading channels, where fading is represented by the product of K statistically independent Nakagami-m random variables. The pairwise error probability (PEP) for the systems is first obtained in a closed-form using generalizAed hypergeometric functions. Based on the obtained PEP expression, it is shown that by employing SSD with a sufficiently large dimension, the adverse effects of multiplicative fading can be practically eliminated without any power nor bandwidth expansion. Simulations for both uncoded and coded systems are provided to show the agreement with the analysis.