This paper considers a general approach for the computation of all functional characteristics of a probabilistic wireless channel model using a bidirectional parametric description. It is shown that under mild conditions the WSSUS property is valid for these models and explicit relations are derived for the computation of the time-frequency autocorrelation from which one can easily derive the Doppler and delay power spectra. As an illustrative example, we consider the single ring of scatterers channel model. We also briefly mention how all these concepts can be generalized to the MIMO case.

Wireless transmission channels experience substantial signal degradation due to irregularities in the propagation path that impact synchronization between two communicating ends. Consequently, differential and noncoherent techniques that require no such synchronization have gained wide popularity. However, the transmitted data are still highly prone to transmission errors and appropriate error-control mechanisms have to be employed. Knowledge of the error statistics becomes crucial when designing these systems. A block-error rate (BLER) characteristic defines the error distribution within data blocks and in this paper, we propose a finite-state Markov chain-based method to evaluate BLERs in slow frequency-nonselective Rayleigh-fading channels for differential phase-shift keying. The methodology is then extended to the cases of faster Rayleigh and sub-Rayleigh fading. The model is verified by means of numerical simulation. The proposed model possesses many advantages of the well-developed Markov theory and may be easily extended to other modulation schemes such as noncoherent frequency shift keying.

A novel method to estimate block error rates (BLER) in the Rayleigh frequency-nonselective fading channel is proposed. The suggested model is based on a finite state Markov chain. The general analytical results are specialized to the case of differential phase shift keying (DPSK) with coherent detection and to the case of Jakes' fading spectrum. The validity of the proposed model is confirmed by extensive simulation results.