BEP performance of M2M communications over frequency flat double Hoyt fading channels

The performance analysis of mobile-to-mobile (M2M) radio communications over double Hoyt fading channels perturbed by additive white Gaussian noise (AWGN) is considered. First, the probability density function (PDF) of the instantaneous signal-to-noise ratio (SNR) per bit is derived under the assumption that the fading channel is a concatenation (product) of two independent but not necessarily identically distributed Hoyt processes. Then, an expression for the bit error probability (BEP) is investigated for several modulation schemes commonly used in wireless communication systems. In the derivation, the underlying propagation channel is assumed to be slowly varying and having the frequency-flat fading characteristics. Numerical results, considering the impact of the fading severity on the BEP, are presented. Furthermore, the validity of the theoretical results is checked by means of computer simulations for some of the modulation schemes used in the analysis. The obtained BEP expression is general and includes, as special cases, results corresponding to the channel combinations given by Rayleigh×Hoyt, Rayleigh×one-sided Gaussian, Hoyt×one-sided Gaussian, double one-sided Gaussian, and double Rayleigh fading channels.