On the BEP Analysis of M-QAM in a Frequency Non-Selective Beaulieu-Xie Fading Channels

In this paper, new and exact expressions are presented for the bit error probability (BEP) of M-ary quadrature amplitude modulation (
M
-QAM), considering a frequency non-selective Beaulieu-Xie (BX) fading channels, with and without spatial diversity. Special cases for the BX distribution, such as generalized Rice, non-central Chi and κ-μ distribution, are also analyzed in this work. The new BEP expressions are obtained by a method in which the division of the received signal by fading is performed, making the communication channel under fading corresponding to a channel subject to an additive noise. A new expression for the generalized moment generating function (MGF) for the signal-to-noise ratio (SNR) of the BX fading model is determined in this work. Several BEP curves as a function of SNR are presented under different parameters that characterize the channel, considering perfect or imperfect channel state information (CSI).