Tight bounds on outage and throughput for M-QAM in fading channels

In this paper, we firstly derive tight invertible bounds on the bit error probability (BEP) for coherent detection of M-QAM in Rayleigh fading channels. These bounds enable us to easily obtain tight lower and upper bounds on the bit error outage (BEO). As examples of applications, these bounds are used to investigate the BEO in a log-normal shadowing environment. Moreover, using the bounds on the inverse BEP, the analysis of the mean spectral efficiency for slow adaptive modulation is assessed.