On the average SEP of partially coherent MPSK detection in the presence of Hoyt fading and white Gaussian noise

In this paper analytical expressions for the average symbol error probability (SEP) of M-ary coherent phase-shift keying (M-CPSK) signal detection with an imperfect reference signal recovery in Hoyt fading and additive white Gaussian noise are derived. The recovery of the reference carrier is performed from unmodulated signal and assumed imperfect. The difference between the estimated phase and the received signal phase is modelled as a phase error that fallows Tikhonov distribution. Derived SEP expressions are in the form of infinite series that converge quickly.