New analytical expressions for orthogonal, biorthogonal, and transorthogonal signaling in Nakagami fading channels with diversity reception

Analytical probability of error expressions are presented in this paper for 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 will guide system engineers in determining the appropriate dimensionality of the orthogonal, biorthogonal, and transorthogonal signals. They will also be useful for deciding the suitable number of diversity branches used at the receiver to meet the design requirements in wireless fading environments.