Performance analysis of binary DPSK modulation schemes over Hoyt fading channels

This paper presents a performance analysis of differential phase shift keying (DPSK) modulation schemes over Hoyt fading channels. Based upon the theory of DPSK modulation and a recently derived formula for the probability density function (PDF) of the differential phase between two Hoyt vectors contaminated by additive white Gaussian noise (AWGN), the bit error probability (BEP) for DPSK systems with noncoherent demodulation over Hoyt channels is analyzed. In the analysis, the correlation between adjacent bits is taken into account. The obtained theoretical results are fully validated first by reducing them to the corresponding known solutions for the Rayleigh fading distribution being a special case of the Hoyt distribution and second by comparing them with results obtained from computer simulations. The analysis of the BEP performance is illustrated by numerical examples given for the case of a mobile-to-mobile (M2M) Hoyt fading channel by considering various values of the fading channel characteristics and the system parameters. It is demonstrated that the Hoyt fading channel leads to poor BEP performance compared to the Rayleigh fading channel.