Hybrid-model for space-time block code over spatial correlated and time-selective fading-channels

Most existing space-time block code (STBC) schemes have been developed based on the assumption that the channels are independent identity distribution (i.i.d.) and quasi-static fading (QSF). However, the realistic wireless channels are either spatial correlated fading (SCF) determined by various physical parameters, e.g., antenna spacing, antenna arrangement, angle spread, angle of arrival etc or time-selective fading (TSF) caused by Doppler shifts. In this paper, we propose a hybrid-model (HM), which combining the first-order autoregression model (ARM) to model the flat TSF Rayleigh channel with the exponential correlation model (ECM) to model the SCF channel. Based on the HM and the known decoder proposed by T. A. Tran et al., we derive the theoretical bit error probability (BEP) of the scheme. Finally, analytical and simulated results are presented to verify the validity of our HM and arrive at a useful conclusion: high SCF dominates the performance loss when the TSF is small, whereas large TSF contributes to the performance loss whatever degree SCF is.