Error performance of coherent high dimensional signaling in Nakagami fading channels with diversity reception

Analytical probability of error expressions are presented in this paper for coherent orthogonal, biorthogonal and transorthogonal signaling in slow Nakagami fading channels with diversity reception. These new probability of error expressions are exact, numerically efficient, and general for arbitrary signal dimension. The numerical results obtained from the newly derived probability of error formulae can guide system engineers in determining the appropriate dimensionality of the orthogonal and biorthogonal signals. They can also be useful for authoritatively deciding the suitable number of diversity branches used at the receiver to meet the design requirements in a wireless fading environment.