Performance Analysis of Scheduled STBC Over Non-Identically Distributed Arbitrary Nakagami Fading Channels

In this letter, we study the performance analysis of combining space-time block coding (STBC) and user scheduling over arbitrary Nakagami fading channels. Especially, we mainly focus on the independent and non-identically distributed (i.ni.d.) user terminals. This letter derives the exact cumulative distribution function (CDF) of the scheduled STBC over i.ni.d. arbitrary Nakagami fading channels. Using CDF and the Lauricella hypergeometric function, this letter derives the closed-form expressions of the scheduled STBC for the symbol error rate (SER) and the outage probability with phase shift keying (PSK) and quadrature amplitude modulation (QAM) over i.ni.d. arbitrary Nakagami fading channels. This letter also quantifies the diversity order and the signal to noise ratio (SNR) gain for the SER and the outage probability. From the analysis, we show that the diversity order of the scheduled STBC is Σ_k=1^K m_kLN_k for QAM and PSK modulations including the outage probability over i.ni.d. Nakagami fading channels.