—In this paper, a novel error probability analysis of orthogonal space-time block coding (OSTBC) over independent but not necessarily identical Hoyt (Nakagami-q) fading channels is presented. First, it is shown that for a precise performance analysis the derivation of the distribution of a quadratic form in normal random variables is necessary. After representing this distribution using a chi-squared series expansion a new, tight upper bound on the series truncation error is obtained. The proposed bound has a simple form, which allows the derivation of closed-form truncation error bound expressions for several performance analysis criteria. Based on the chi-squared series formulation, closed-form error probability expressions are also provided. Simulation results show that the proposed bounds are much tighter compared to previously derived ones and verify our analytical results.
George A. Ropokis, Athanasios A. Rontogiannis, P.