Distribution Functions of Selection Combiner Output in Equally Correlated Rayleigh, Rician, and Nakagami-<tex>$m$</tex>Fading Channels

Hybrid Access Femtocells in Overlaid MIMO Cellular Networks With Transmit Selection Under Poisson Field Interference

“…This can be captured via the cross-correlation between {I t,i,k } Nt i=1 underlying small-scale fading powers { α 2 t,i,k,m }. Given that these terms are results of complex-valued Gaussian models of interference small-scale fading channel gains, correlation models of underlaying complex-valued Gaussian processes can be incorporated into the analysis of the adopted TAS scheme, wherein related results in [21] for selection combining can be useful. The expected effect of correlation among…”

“…The average error rate can be obtained using the MGF approach as shown in (21). In this case, after some analytical analysis, the resulting MGF ofγ SINR,t,k , which is denoted as Mγ SINR,t,k (s) can be obtained as shown in (40).…”

“…1) Scenario A of Interference: The average error rate is obtained using the MGF method in (21), where the corresponding MGF of γ SINR,t,k in this case, which is denoted by M γSINR,t,k (s) can be obtained as shown in (44), where Ω t = Lk−1 l=0…”

“…Inserting the expression in (44) into (21) gives the expression of Pe t,k , and now inserting it in (20) for t = {M B , F B } and k = M U gives the desired result for the average error rate of M U . 2) Scenario B of Interference: Herein, M γSINR,t,k (s) has the same expression as in (44) but after replacing α t by φ t .…”

“…2) Asymptotic Error Rate: a) Scenario A of Interference: The asymptotic average error rate is obtained using the MGF approach in (21).…”