On the BEP performance of binary noncoherent modulation schemes in frequency-nonselective M2M double Hoyt fading channels

In this paper, we study the performance of binary noncoherent modulation schemes in mobile-to-mobile (M2M) radio communications over slowly varying and frequency nonselective double Hoyt fading channels perturbed by additive white Gaussian noise (AWGN). The propagation environment between the mobile transmitter and receiver is modeled by a product of two independent but not necessarily identically distributed Hoyt multipath fading processes. By considering this multipath fading model and based on the use of a recently presented formula for the probability density function (PDF) of the instantaneous signal-to-noise ratio (SNR) under double Hoyt channels, we derive a generic expression for the bit error probability (BEP) performance of binary noncoherent differential phase-shift keying (DPSK) and frequency-shift keying (FSK) modulation schemes. As special cases, the obtained BEP expression includes results corresponding to the double Rayleigh, double one-sided Gaussian, as well as combined Rayleigh×one-sided Gaussian, Rayleigh×Hoyt, and Hoyt×one-sided Gaussian fading channels. By considering different combinations of the Hoyt fading severity parameters, the validity and accuracy of the presented analytical results are confirmed by simulations.